Cultural Conflict between Christian Western Countries and Islamic Countries of the East

Table of Contents Introduction Western colonization and Islam Religious differences Christian democracy vs. Islam authoritarianism The holy war Conclusion Works Cited Introduction There is a widespread thesis by Huntington that defines the conflict in the world today as the clash of civilizations. This conflict goes beyond social classes and economic groups (Huntington p.28). It is a cultural conflict between two civilizations that share different ideologies.Advertising We will write a custom research paper sample on Cultural Conflict between Christian Western Countries and Islamic Countries of the East specifically for you for only $16.05 $11/page Learn More The 21st century has seen a surge of violent ethnic clashes, especially in the Islamic nations of the East. In the eyes of the democratic western world, the violence is directly attributed to the oppressive political systems of the East. The conflict has now shifted to a raging clash between the Christian West and the Islamic East, especially after the September 11 attack on the United States. The assumption of many is that the conflict between the West and the East is political. The Islamic East is fighting off the efforts of the West to convert them into democratic states. On the contrary, you would be surprised to learn that even among the western countries, there are many similar views on democracy similar to the ones that are held by the Islamic East. These countries disagree on the basis of politics. Therefore, there has to be something else that fuels the conflict between the East and West. From my analytical point of view, I agree with experts who trace the cause of this conflict to cultural differences between the two civilizations. Eastern Islamic countries are by far the most conservative people in the world today. On the contrary, the western world claims to share the most liberal ideologies. A cultural gap ensues that ultimatum leads to conflict. Western colon ization and Islam The western colonization of the East in the 18th and 19th centuries left a series of mixed reactions amongst the Islam colonies. The West brought with it ideologies such as modern education, democratic government, and Christian religion. This western experience became an eye opener for the Muslim community. There was a general consensus that the West had come to water down their Islam identity. Therefore, there was the need to redefine the role of the Islam faith in the modern community. While all Muslims denounced western culture, some supported the idea of developing Islam alternatives to western culture. Others supported total Islamization without traces of the western influence. To the West, islamization is the main bone of contention with the East, claiming there is no democracy in Islam. For the East, the issue is not about democracy or lack of it, but about the cultural differences between the two groups (Aslan 12). Religious differences Religion has a deepe r impact on culture than it may seem to be at first glance. This is the main source of conflict between Muslims and Christians. For example, Islam allows polygamy up to a fourth wife. For Muslims, it is an acceptable culture. For the Christians, polygamy is condemned. In fact, the Western people view the Muslim practice as oppression to women (Landscheidt and Wollny 1). The western social values give women more freedom.Advertising Looking for research paper on cultural studies? Let's see if we can help you! Get your first paper with 15% OFF Learn More For instance, they allow gender equality and sexual liberalization. They prove to be more tolerant when it comes to educating women, political representation, divorce, homosexuality and abortion. All these freedoms allowed to women by the West are an abomination in the conservative Islamic East. They are viewed as sacrilege to their religion. Therefore, it is important for the East to shun the western values. The Sharia l aw, which is adopted by Islam states as the rule of law, is based on the teachings of the Koran. For Muslims, all aspects of their lives as pertains to religion and social rules of behavior are provided in the holy book. As a monotheistic religion that believes in only one God, Allah, Islam believes that all rules and laws were set by God. Therefore, it is an accepted culture amongst Muslims that the laws, even those which govern their politics, are based on religion (Landscheidt and Wollny 3). Christianity deviates from this in various ways. The reformation of Christianity in the 16th century led to the formation of many breakaway factions of the church. The church and politics were separated, and the quest for freedom and democracy took root. Therefore, the rules of law that govern the western world are not based on religion in the least. Rather, they are based on a merger of the rights and freedoms of individuals. This is one of the aspects of the western world that Islam cannot agree with. Their law is not based on religion. Christian democracy vs. Islam authoritarianism In terms of politics, the clash between the West and the East seems to be endless. The Christian West runs on democracy. These are set of rules that ensure the freedom of individuals in the society. Each person has the freedom to determine what is right and wrong. Democracy is seen as the height of civilization and goes hand in hand with freedom. The Muslim interpretation of Islamic law reiterates that all human actions are determined by Allah (Landscheidt and Wollny 4).Therefore, whatever one does is done to His glory. The independence of Muslims is curtailed by this very reason and explains why most Islamist states have authoritarian-hierarchical types of leadership in government. The leader, seen as Allah’s instrument, is obeyed to the latter and normally has power the people. This is what the West interprets as oppression or dictatorship. Islamic societies support the kind of le adership where religion has a strong influence on society. This is different in the West, where religion is separated from leadership. Therefore, religious leadership does not play an active role in peoples’ lives. Whilst the Christian West upholds freedom, the Islamist East upholds justice and doing what their religion says is right. Muslims feel justified to fight off the influence of the West. In the economic front, the West is seen as a formidable force that infiltrates weaker economic markets, tapping their potential at low cost of cheap local labor while reaping huge profits.Advertising We will write a custom research paper sample on Cultural Conflict between Christian Western Countries and Islamic Countries of the East specifically for you for only $16.05 $11/page Learn More A majority of Eastern Islamic countries are under-developed in terms of technology and reel from the effects of high unemployment rates (which they blame on the wester n type of education). This kind of exploitation by the West seems to fortify the belief of Islam states that they have to fight the unjust practices by the West, and the culmination of such fights are ‘terrorist’s attacks such as the September, 11 or the perpetual war on Iraq. The holy war These attacks by the Islam East are a result of the holy war, what they call ‘jihad’. According to Muslims, the translation of jihad as the ‘holy war’ is misconstrued. It is not that Muslims attack other cultures in a bit of religious fanaticism as there is no outright depiction of such attacks in the Koran. Rather, the Koran demonstrates that there are two existences of the world; the peaceful part, Islam and the part at war (designated to non-believers). Accordingly, Muslims are expected, as part of their duty, to merge the two parts of the world. That is to mean, they should spread peace (Islam) to the rest of the warring world (non-believers). Therefore, there is a need to defend their country, as well as their religion even to the extent of war and other extremities. After all, by acting according to the Koran, one expects a great reward in Heaven. The Christian western world, with its ideologies of freedom, globalization, liberalism, advanced technology, and economic monopoly is seen by Islam as a perpetration of all that is ‘evil’. Consequently, a Muslim feels that it is a calling to root out the evil so as to defend the loss of its religious societal values. Muslims believe that the ideal kind of world (and government) is of the kind that prophet Muhammad led in Medina (Aslan 69). This means that the society should have one leader, who bids people to do the will of Allah in fulfillment of their religious duties. Modernization, which is a concept introduced and epitomized by the western world, is a representation of the abolishment of any and all religious laws in relation to leadership. This is far removed from the Islamic concept of religion and leadership. Overly, Islamic states find their model of governance to be superior to the western model that is based on democracy, which goes against the requirements of Allah. To achieve the ideal state that relies on the religious rules that uphold the interdependence of state and religion, Muslims feel that the jihad is justified, and it is a means to enforce Islamic principles even if it means using violence. Extremists of Islamic fundamentals take this as a step further. They form a large network of supporters, acquire arms and weapons and fling themselves to the core of jihadist movements. This is what has culminated in terror groups, the kind that plotted the September 11 attacks. Terrorism has now become a widespread threat, especially to the western world. The western world mistakenly thinks that this is a political war. Therefore, it responds in that manner. The United States of America invaded Iraq in response to the September 11 attacks.Adv ertising Looking for research paper on cultural studies? Let's see if we can help you! Get your first paper with 15% OFF Learn More This is what they termed as the war on terror. Consequently, other democracies of the western world joined forces to end the war on terror by subverting the political and economic state of the Islamic nation. In solidarity, other Islamic nations of the East continue to attack the West. Spain became a victim of this violence when on March 11; similar bomb explosions shook Madrid for supporting the United States by sending its troops to Iraq. Consequently, Spain withdrew its troops. The Islamic East saw this as a victory for its cause. In order to protect the state of Islam, violent threats such as terror attacks on the western world seem to give them the desired response for the western governments to withdraw their invasion of Islamic countries. Their reasoning is simple: the West should stop meddling in its Islamic culture by perpetrating their values of modernity, democracy, and freedom. Conclusion It is difficult to predict the end of the conflict between the largely Christian We stern countries and largely Islamic countries of the East. Political strife may be solved at tables, at conventions, but cultural strife is more delicate to handle. Islam, as a religion, is deeply rooted in the Muslim culture and has existed for over 1500 years; Christianity has existed for the past 2000 years. The Islam political system is embedded in its religion; in the Koran. Demanding a shift away from their Islamic ideologies would be tantamount to demanding Islamic reformation without their free will. These ideologies revolve around all aspects of society which include politics, social values and religion itself. Western effort to assert their ideologies on democracy, freedom, and other social values on these societies may be deemed as an affront to Islam (Funk and Abdul Aziz 15). The western Christian states emerge to be at the forefront of civilization, judging by their liberality. This freedom was not achieved overnight. It was a ferocious battle that started in the 16th c entury with reformist movements and stretched on for more than a century. Eventually, religion was separated from politics and society indulged in freedom. The Islamic reformation should not be a battle between Christianity and Islam. In that way, the conflict will never end. Rather, the reformation should be a religious conflict amongst the subsets of Islam; mainstream vs. liberal, traditionalists vs. modernists and so on, that they may find their own middle ground in their own religion. As for Muslims, their interpretation of the laws in the holy Koran should not be so radical as to infringe on the religious cultures of others. After all, the very Koran orders the believers of the Islam faith to dialogue with the non-believers in order to appeal to them. It does not say to bomb them into submission. A further call is made of religious tolerance towards other faiths such as Christians and Jews that have been in existence for as long as Islam was conceived (Landscheidt and Wollny 16 ). The Christian west, having achieved economic and technological advancement way ahead of the conservative Islam states, should strive to foster coherence with their globalization agenda. Barging into the Eastern markets with capitalist ideas will not augur well with the East that views such assault as injustice, therefore the need to retaliate. Rather, globalization can be used effectively to improve the education system of the East and to create employment opportunities to lift their standards in life, with both groups of civilizations viewing each other in mutual respect of their religion, culture and politics. Works Cited Aslan, Reza. No god but God, New York: Random House Publishing Group, 2005. print. Funk, Nathan, and Said Abdul. â€Å"Islam and the West:Narratives of conflict and conflict transformation.† International Journal of Peace Studies, 25.2 (2004): 1-28. Print. Landscheidt, Dennis, and S. Wollny. The conflict between the Western world and  Islam, Californi a: ICM, 2004. Print. This research paper on Cultural Conflict between Christian Western Countries and Islamic Countries of the East was written and submitted by user Titus May to help you with your own studies. You are free to use it for research and reference purposes in order to write your own paper; however, you must cite it accordingly. You can donate your paper here.

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Physico-chemical Processes that Occur During Freezing

Physico-chemical Processes that Occur During Freezing 1. Introduction Lyophilization respectively freeze-drying is an important and well-established process to improve the long-term stability of labile drugs, especially therapeutic proteins.[1] About 50% of the currently marketed biopharmaceuticals are lyophilized, representing the most common formulation strategy.[2] In the freeze-dried solid state chemical or physical degradation reactions are inhibited or sufficiently decelerated, resulting in an improved long-term stability.[3] Besides the advantage of better stability, lyophilized formulations also provide easy handling during shipping and storage. [1] A traditional lyophilization cycle consists of three steps; freezing, primary drying and secondary drying.[1] During the freezing step, the liquid formulation is cooled until ice starts to nucleate, which is followed by ice growth, resulting in a separation of most of the water into ice crystals from a matrix of glassy and/or crystalline solutes.[4-5] During primary drying, the crystalline ice formed during freezing is removed by sublimation. Therefore, the chamber pressure is reduced well below the vapor pressure of ice and the shelf temperature is raised to supply the heat removed by ice sublimation.[6] At the completion of primary drying, the product can still contain approximately 15% to 20% of unfrozen water, which is desorbed during the secondary drying stage, usually at elevated temperature and low pressure, to finally achieve the desired low moisture content.[7] In general, lyophilization is a very time- and energy-intensive drying process.[8]   Typically, freezing is over within a few hours while drying often requires days. Within the drying phase, secondary drying is short (~hours) compared to primary drying (~days).[1, 4] Therefore, lyophilization cycle development has typically focused on optimizing the primary drying step, i.e., shortening the primary drying time by adjusting the shelf temperature and/or chamber pressure without influencing product quality.[5, 9] Although, freezing is one of the most critical stages during lyophilization, the importance of the freezing process has rather been neglected in the past.[10]   The freezing step is of paramount importance. At first, freezing itself is the major desiccation step in lyophilization [6] as solvent water is removed from the liquid formulation in the form of a pure solid ice phase, leading to a dramatic concentration of the solutes.[11-12] Moreover, the kinetics of ice nucleation and crystal growth determine the physical state and morphology of the frozen cake and consequently the final properties of the freeze-dried product.[11-13] Ice morphology is directly correlated with the rate of sublimation in primary and secondary drying.[14] In addition, freezing is a critical step with regard to the biological activity and stability of the active pharmaceutical ingredients (API), especially pharmaceutical proteins.[1] While simple in concept, the freezing process is presumably the most complex but also the most important step in the lyophilization process.[10] To meet this challenge, a thorough understanding of the physico-chemical processes, which occur during freezing, is required. Moreover, in order to optimize the freeze drying process and product quality, it is vital to control the freezing step, which is challenging because of the random nature of ice nucleation. However, several approaches have been developed to trigger ice nucleation during freezing. The purpose of this review is to provide the reader with an awareness of the importance but also complexity of the physico-chemical processes that occur during freezing. In addition, currently available freezing techniques are summarized and an attempt is made to address the consequences of the freezing procedure on process performance and product quality. A special focus is set on the critical factors that influence protein stability. Understanding and controlling the freezing step in lyophilization will lead to optimized, more efficient lyophilization cycles and products with an improved stability. 2. Physico-chemical fundamentals of freezing The freezing process first involves the cooling of the solution until ice nucleation occurs. Then ice crystals begin to grow at a certain rate, resulting in freeze concentration of the solution, a process that can result in both crystalline and amorphous solids, or in mixtures.[11] In general, freezing is defined as the process of ice crystallization from supercooled water.[15] The following section summarizes the physico-chemical fundamentals of freezing. At first, the distinction between cooling rate and freezing rate should be emphasized. The cooling rate is defined as the rate at which a solution is cooled, whereas the freezing rate is referred to as the rate of postnucleation ice crystal growth, which is largely determined by the amount of supercooling prior to nucleation.[16-17] Thus, the freezing rate of a formulation is not necessarily related to its cooling rate.[18] 2.1 Freezing phenomena: supercooling, ice nucleation and ice crystal formation In order to review the physico-chemical processes that occur during freezing of pure water, the relationship between time and temperature during freezing is displayed in figure 1. When pure water is cooled at atmospheric pressure, it does not freeze spontaneously at its equilibrium freezing point (0 °C).[19] This retention of the liquid state below the equilibrium freezing point of the solution is termed as â€Å"supercooling†.[19] Supercooling (represented by line A) always occurs during freezing and is often in the range of 10 to 15 °C or more.[12, 18] The degree of supercooling is defined as the difference between the equilibrium ice formation temperature and the actual temperature at which ice crystals first form and depends on the solution properties and process conditions.[1, 6, 11, 20] As discussed later, it is necessary to distinguish between â€Å"global supercooling†, in which the entire liquid volume exhibits a similar level of supercooling, and â€Å"lo cal supercooling†, in which only a small volume of the liquid is supercooled.[14] Supercooling is a non-equilibrium, meta-stable state, which is similar to an activation energy necessary for the nucleation process.[21] Due to density fluctuations from Brownian motion in the supercooled liquid water, water molecules form clusters with relatively long-living hydrogen bonds [22] almost with the same molecular arrangement as in ice crystals.[11, 15] As this process is energetically unfavorable, these clusters break up rapidly.[15] The probability for these nuclei to grow in both number and size is more pronounced at lowered temperature.[15] Once the critical mass of nuclei is reached, ice crystallization occurs rapidly in the entire system (point B).[15, 21-22]   The limiting nucleation temperature of water appears to be at about -40 °C, referred to as the â€Å"homogeneous nucleation temperature†, at which the pure water sample will contain at least one spontaneously f ormed active water nucleus, capable of initiating ice crystal growth.[11] However, in all pharmaceutical solutions and even in sterile-filtered water for injection, the nucleation observed is â€Å"heterogeneous nucleation†, meaning that ice-like clusters are formed via adsorption of layers of water on â€Å"foreign impurities†.[6, 11] Such â€Å"foreign impurities† may be the surface of the container, particulate contaminants present in the water, or even sites on large molecules such as proteins.[23-24] Primary nucleation is defined as the initial, heterogeneous ice nucleation event and it is rapidly followed by secondary nucleation, which moves with a front velocity on the order of mm/s through the solution. [14, 25] Often secondary nucleation is simply referred to as ice crystallization, and the front velocity is sometime referred to as the crystallization linear velocity.[14] Once stable ice crystals are formed, ice crystal growth proceeds by the addition of molecules to the interface.[22] However, only a fraction of the freezable water freezes immediately, as the supercooled water can absorb only 15cal/g of the 79cal/g of heat given off by the exothermic ice formation.[12, 22] Therefore, once crystallization begins, the product temperature rises rapidly to near the equilibrium freezing point.[12, 26] After the initial ice network has formed (point C), additional heat is removed from the solution by further cooling and the remaining water freezes when the previously formed ice crystals grow.[12] The ice crystal growth is controlled by the latent heat release and the cooling rate, to which the sample is exposed to.[22] The freezing time is defined as the time from the completed ice nucleation to the removal of latent heat (from point C to point D). The temperature drops when the freezing of the sample is completed (point E).[21] The number of ice nuclei formed, the rate of ice growth and thus the ice crystals` size depend on the degree of supercooling.[14, 20] The higher the degree of supercooling, the higher is the nucleation rate and the faster is the effective rate of freezing, resulting in a high number of small ice crystals. In contrast, at a low degree of supercooling, one observes a low number of large ice crystals.[14, 19] The rate of ice crystal growth can be expressed as a function of the degree of supercooling.[23]   For example for water for injection, showing a degree of supercooling of 10 °C +/- 3 °C, an ice crystal growth rate of about   5.2cm/s results.[23] In general, a slower cooling rate leads to a faster freezing rate and vice versa. Thus, in case of cooling rate versus freezing rate it has to be kept in mind â€Å"slow is fast and fast is slow†. Nevertheless, one has to distinguish between the two basic freezing mechanisms. When global supercooling occurs, which is typically the case for shelf-ramped freezing, the entire liquid volume achieves a similar level of supercooling and solidification progresses through the already nucleated volume.[12, 14] In contrast, directional solidification occurs when a small volume is supercooled, which is the case for high cooling rates, e.g. with nitrogen immersion. Here, the nucleation and solidification front are in close proximity in space and time and move further into non-nucleated solution. In this case, a faster cooling rate will lead to a faster freezing rate.[12, 14] Moreover, as ice nucleation is a stochastically event [6, 18], ice nucleation and in consequence ice crystal size distribution will differ from vial to vial resulting in a huge sample heterogeneity within one batch.[6, 14, 27] In addition, during freezing the growth of ice crystals within one vial can also be heterogeneous, influencing intra-vial uniformity.[5] Up to now, 10 polymorphic forms of ice are described. However, at temperatures and pressures typical for lyophilization, the stable crystal structure of ice is limited to the hexagonal type, in which each oxygen atom is tetrahedrally surrounded by four other oxygen atoms.[23] The fact that the ice crystal morphology is a unique function of the nucleation temperature was first reported by Tammann in 1925.[28] He found that frozen samples appeared dendritic at low supercoolings and like â€Å"crystal filaments† at high supercooling. In general, three different types of growth of ice crystals around nuclei can be observed in solution[15]: i) if the water molecules are given sufficient time, they arrange themselves regularly into hexagonal crystals, called dendrites; ii) if the water molecules are incorporated randomly into the crystal at a fast rate, â€Å"irregular dendrites† or axial columns that originate from the center of crystallization are formed; iii) at higher coo ling rates, many ice spears originate from the center of crystallization without side branches, referred to as spherulites. However, the ice morphology depends not only on the degree of supercooling but also on the freezing mechanism. It is reported that â€Å"global solidification† creates spherulitic ice crystals, whereas â€Å"directional solidification† results in directional lamellar morphologies with connected pores.[12, 14] While some solutes will have almost no effect on ice structure, other solutes can affect not only the ice structure but also its physical properties.[19] Especially at high concentrations, the presence of solutes will result in a depression of the freezing point of the solution based on Raoults`s Law and in a faster ice nucleation because of the promotion of heterogeneous nucleation, leading to a enormously lowered degree of supercooling.[21] 2.2 Crystallization and vitrification of solutes The hexagonal structure of ice is of paramount importance in lyophilization of pharmaceutical formulations, because most solutes cannot fit in the dense structure of the hexagonal ice, when ice forms.[23] Consequently, the concentration of the solute constituents of the formulation is increased in the interstitial region between the growing ice crystals, which is referred to as â€Å"cryoconcentration†.[11-12] If this separation would not take place, a solid solution would be formed, with a greatly reduced vapor pressure and the formulation cannot be lyophilized.[23] The total solute concentration increases rapidly and is only a function of the temperature and independent of the initial concentration.[4] For example, for an isotonic saline solution a 20-fold concentration increase is reported when cooled to -10 °C and all other components in a mixture will show similar concentration increases.[4] Upon further cooling the solution will increase to a critical concentration, ab ove which the concentrated solution will either undergo eutectic freezing or vitrification.[7] A simple behavior is crystallization of solutes from cryoconcentrated solution to form an eutectic mixture.[19] For example, mannitol, glycine, sodium chloride and phosphate buffers are known to crystallize upon freezing, if present as the major component.[12] When such a solution is cooled, pure ice crystals will form first. Two phases are present, ice and freeze-concentrated solution. The composition is determined via the equilibrium freezing curve of water in the presence of the solute (figure 2). The system will then follow the specific equilibrium freezing curve, as the solute content increases because more pure water is removed via ice formation. At a certain temperature, the eutectic melting temperature (Teu), and at a certain solute concentration (Ceu), the freezing curve will meet the solubility curve. Here, the freeze concentrate is saturated and eutectic freezing, which means solute crystallization, will occur.[7, 19] Only below Teu, which is defined as the lowest temperat ure at which the solute remains a liquid the system is completely solidified.[19] The Teu and Ceu are independent of the initial concentration of the solution.[7] In general, the lower the solubility of a given solute in water, the higher is the Teu.[19] For multicomponent systems, a general rule is that the crystallization of any component is influenced, i.e. retarded, by other components.[11] In practice, analogous to the supercooling of water, only a few solutes will spontaneously crystallize at Teu.[11] Such delayed crystallization of solutes from a freezing solution is termed supersaturation and can lead to an even more extreme freeze concentration.[11] Moreover, supersaturation can inhibit complete crystallization leading to a meta-stable glass formation, e.g. of mannitol.[12, 23] In addition, it is also possible that crystalline states exist in a mixture of different polymorphs or as hydrates.[11] For example, mannitol can exist in the form of several polymorphs (a, b and d) und under certain processing conditions, it can crystallize as a monohydrate.[11] The phase behavior is totally different for polyhydroxy compounds like sucrose, which do not crystallize at all from a freezing solution in real time.[11] The fact that sucrose does not crystallize during freeze-concentration is an indication of its extremely complex crystal structure.[11] The interactions between sugar -OH groups and those between sugar -OH groups and water molecules are closely similar in energy and configuration, resulting in very low nucleation probabilities.[11] In this case, water continues to freeze beyond the eutectic melting temperature and the solution becomes increasingly supersaturated and viscous.[11] The increasing viscosity slows down ice crystallization, until at some characteristic temperature no further freezing occurs.[11] This is called glassification or vitrification.[18]   The temperature at which the maximal freeze-concentration (Cg`) occurs is referred to as the glass transition temperature Tg`.[11, 29] This point is at the intersection of t he freezing point depression curve and the glass transition or isoviscosity curve, described in the â€Å"supplemented phase diagram† [30] or â€Å"state diagram† (figure 2).[11] Tg ´ is the point on the glass transition curve, representing a reversible change between viscous, rubber-like liquid and rigid, glass system.[19] In the region of the glass transition, the viscosity of the freeze concentrate changes about four orders of magnitude over a temperature range of a few degrees.[19] Tg` depends on the composition of the solution, but is independent of the initial concentration.[4, 11, 27]   For example, for the maximally freeze concentration of sucrose a concentration of 72-73% is reported.[31] In addition to Tg` the collapse temperature (Tc) of a product is used to define more precisely the temperature at which a structural loss of the product will occur. In general Tc is several degrees higher than Tg`, as the high viscosity of the sample close to Tg` will pre vent .[10] The glassy state is a solid solution of concentrated solutes and unfrozen, amorphous water. It is thermodynamically unstable with respect to the crystal form, but the viscosity is high enough, in the order of 1014 Pa*s, that any motion is in the order of mm/year.[4, 11, 29] The important difference between eutectic crystallization and vitrification is that for crystalline material, the interstitial between the ice crystal matrix consists of an intimate mixture of small crystals of ice and solute, whereas for amorphous solutes, the interstitial region consists of solid solution and unfrozen, amorphous water.[19, 23] Thus, for crystalline material nearly all water is frozen and can easily be removed during primary drying without requiring secondary drying.[19] However, for amorphous solutes, about 20% of unfrozen water is associated in the solid solution, which must be removed by a diffusion process during secondary drying.[19] Moreover, the Teu for crystalline material or the Tg` respectively Tc for amorphous material define the maximal allowable product temperature during primary drying.[19] Eutectic melting temperatures are relatively high compared to glass transition temperatures, allowing a higher product temperature during primary drying, which resu lts in more efficient drying processes.[19] If the product temperature exceeds this critical temperature crystalline melting or amorphous collapse will occur, resulting in a loss of structure in the freeze-dried product, which is termed â€Å"cake collapse†.[11, 19] 2.3 Phase separation and other types of freezing behavior A characteristic property of multicomponent aqueous solutions, especially when at least one component is a polymer, is the occurrence of a liquid-liquid phase separation during freezing into two liquid equilibrium phases, which are enriched in one component.[11, 19] This phase separation behavior has been reported for aqueous solutions of polymers such as PEG/dextran or PVP/dextran but is also reported for proteins and excipients.[32-33] When a critical concentration of the solutes is reached, the enthalpically unfavorable interactions between the solutes exceed the favorable entropy of a solution with complete miscibility.[34] Another proposed explanation is that solutes have different effects on the structure of water, leading to phase separation.[35] Besides the separation into two amorphous phases, two other types of phase separation are stated in literature; crystallization of amorphous solids and amorphization from crystalline solids.[18] Crystallization of amorphous solids often occurs when metastable glasses are formed during freezing. In this case, e.g. upon extremely fast cooling, a compound that normally would crystallize during slower freezing is entrapped as an amorphous, metastable glass in the freeze-concentrate.[12, 23] However, with subsequent heating above Tg`, it will undergo crystallization, which is the basis for annealing during freeze-drying (see 3.3).[19] Without annealing, the metastable glass can crystallize spontaneously out of the amorphous phase during drying or storage.[18] Amorphization from crystalline solids, that can be buffer components or stabilizers, predominantly occurs during the drying step and not during the freezing step.[18, 36]   Additionally, lyotropic liquid crystals, which have the degree of order between amorphous and crystalline, are reported to form as a result of freeze-concentration. However, their influence on critical quality attributes of the lyophilized product are not clarified.[19] Moreover, clathrates, also termed gas hydrates, are known to form, especially in the presence of non-aqueous co-solvents, when the solute alters the structure of the water.[23] 3. Modifications of the freezing step As aforementioned, the ice nucleation temperature defines the size, number and morphology of the ice crystals formed during freezing. Therefore, the statistical nature of ice nucleation poses a major challenge for process control during lyophilization. This highlights the importance of a controlled, reproducible and homogeneous freezing process. Several methods have been developed in order to control and optimize the freezing step. Some of them only intend to influence ice nucleation by modifying the cooling rate. Others just statistically increase the mean nucleation temperature, while a few allow a true control of the nucleation at the desired nucleation temperature. 3.1 Shelf-ramped freezing Shelf-ramped freezing is the most often employed, conventional freezing condition in lyophilization.[37] Here, at first, the filled vials are placed on the shelves of the lyophilizer and the shelf temperature is then decreased linearly (0.1 °C/min up to 5 °C/min, depending on the capacity of the lyophilizer) with time.[37-38] As both water and ice have low thermal conductivities and large heat capacities and as the thermal conductivity between vials and shelf is limited, the shelf-ramped cooling rate is by nature slow.[11] In order to ensure the complete solidification of the samples, the samples must be cooled below Tg` for amorphous material respectively below Teu for crystalline material. Traditionally, many lyophilization cycles use a final shelf temperature of -50 °C or lower, as this was the maximal cooling temperature of the freeze-drier.[7] Nowadays, it is suggested to use a final shelf temperature of -40 °C if the Tg` or Teu is higher than -38 °C or to use a temper ature of 2 °C less than Tg` and Teu.[1] Moreover, complete solidification requires significant time.[11] In general, the time for complete solidification depends on the fill volume; the larger the fill volume the more time is required for complete solidification.[11] Tang et al.[1]   suggest that the final shelf temperature should be held for 1 h for samples with a fill depth of less than or equal to 1 cm or 2 h for samples with a fill depth of greater than 1 cm. Moreover, fill depth of greater than 2 cm should be avoided, but if required, the holding time should be increased proportionately. In order to obtain a more homogeneous freezing, often the vials are equilibrated for about 15 to 30 min at a lowered shelf temperature (5 °C 10 °C) before the shelf temperature is linearly decreased.[1] Here, either the vials are directly loaded on the cooled shelves or the vials are loaded at ambient temperature and the shelf temperature is decreased to the hold temperature. [1, 5, 9] Another modification of the shelf-ramped freezing is the two-step freezing, where a â€Å"supercooling holding† is applied.(7) Here, the shelf temperature is decreased from room temperature or from a preset lowered shelf temperature to about -5 to -10 °C for 30 to 60min hold. This leads to a more homogenous supercooling state across the total fill volume.[1, 5] When the shelf temperature is then further decreased, relatively homogeneous ice formation is observed.[5] In general, shelf-ramped frozen samples show a high degree of supercooling but when the nucleation temperature is reached, ice crystal growth proceeds extremely fast, resulting in many small ice crystals.[9, 39] However, the ice nucleation cannot be directly controlled when shelf-ramped freezing is applied and is therefore quite random.[4] Thus, one drawback of shelf-ramped freezing is that different vials may become subject to different degrees of supercooling, typically about +/- 3 °C about the mean.[4] This results in a great variability in product quality and process performance.[4] Moreover, with the shelf-ramped freezing method it is not practical to manipulate the ice nucleation temperature as the cooling rates are limited inside the lyophilizer and the degree of supercooling might not change within such a small range.[1, 14] 3.2 Pre-cooled shelf method When applying the pre-cooled shelf method, the vials are placed on the lyophilizer shelf which is already cooled to the desired final shelf temperature, e.g. -40 °C or -45 °C.[1, 13-14] It is reported that the placement of samples on a pre-cooled shelf results in higher nucleation temperatures (-9,5 °C) compared to the conventional shelf-ramped freezing (-13.4 °C).[14] Moreover, with this lowered degree of supercooling and more limited time for thermal equilibration throughout the fill volume, the freezing rate after ice nucleation is actually slower compared to shelf-ramped freezing.[40]   In addition, a large heterogeneity in supercooling between vials is observed for this method.[14] A distinct influence of the loading shelf temperature on the nucleation temperature is described in literature.[13-14] Searles et al.[14] found that the nucleation temperatures for samples placed on a shelf at -44 °C were several degrees higher than for samples placed on a -40 °C shelf. Thus, when using this method the shelf temperature should be chosen with care. 3.3 Annealing Annealing is defined as a hold step at a temperature above the glass transition temperature.[12] In general, annealing is performed to allow for complete crystallization of crystalline compounds and to improve inter-vial heterogeneity and drying rates.[1, 19] Tang et al.[1] proposed the following annealing protocol: when the final shelf temperature is reached after the freezing step, the product temperature is increased to 10 to 20 °C above Tg` but well below Teu and held for several hours. Afterwards the shelf temperature is decreased to and held at the final shelf temperature. Annealing has a rigorous effect on the ice crystal size distribution [17, 41] and can delete the interdependence between the ice nucleation temperature and ice crystal size and morphology. If the sample temperature exceeds Tg`, the system pursues the equilibrium freezing curve and some of the ice melts.[12, 41] The raised water content and the increased temperature enhance the mobility of the amorphous phas e and all species in that phase.[12] This increased mobility of the amorphous phase enables the relaxation into physical states of lower free energy.[12] According to the Kelvin equation ice crystals with smaller radii of curvature will melt preferentially due to their higher free energy compared to larger ice crystals.[12, 37, 41] Ostwald ripening (recrystallization), which results in the growth of dispersed crystals larger than a critical size at the expense of smaller ones, is a consequence of these chemical potential driving forces.[12, 41] Upon refreezing of the annealed samples small ice crystals do not reform as the large ice crystals present serve as nucleation sites for addition crystallization.[41] The mean ice crystal radius rises with time1/3 during annealing.[37, 41] A consequence of that time dependency is that the inter-vial heterogeneity in ice crystal size distribution is reduced with increasing annealing time, as vials comprising smaller ice crystals â€Å"catch u p† with the vials that started annealing containing larger ice crystals.[12, 17, 37, 41] Searles et al.[41] found that due to annealing multiple sheets of lamellar ice crystals with a high surface area merged to form pseudo-cylindrical shapes with a lower interfacial area. In addition to the increase in ice crystal size, they observed that annealing opened up holes on the surface of the lyophilized cake. The hole formation is explained by the diffusion of water from melted ice crystals through the frozen matrix at the increased annealing temperature. Moreover, in the case of meta-stable glass formation of crystalline compounds, annealing facilitates complete crystallization.[42] Above Tg` the meta-stable glass is re-liquefied and crystallization occurs when enough time is provided. Furthermore, annealing can promote the completion of freeze concentration (devitrification) as it allows amorphous water to crystallize.[41] This is of importance when samples were frozen too fast a nd water capable of crystallization was entrapped as amorphous water in the glassy matrix. In addition, the phenomenon of annealing also becomes relevant when samples are optimal frozen but are then kept at suboptimal conditions in the lyophilizer or in a freezer before lyophilization is performed.[11] 3.4 Quench freezing During quench freezing, also referred to as vial immersion, the vials are immersed into either liquid nitrogen or liquid propane (ca. -200 °C) or a dry ice/ acetone or dry ice/ ethanol bath (ca. -80 °C) long enough for complete solidification and then placed on a pre-cooled shelf.[9, 16] In this case the heat-transfer media is in contact with both the vial bottom and the vial wall [10], leading to a ice crystal formation that starts at the vial wall and bottom. This freezing method results in a lowered degree of supercooling but also a high freezing rate as the sample temperature is decreased very fast, resulting in small ice crystals. Liquid nitrogen immersion has been described to induce less supercooling than slower methods [9, 37, 39] , but more precise this faster cooling method induces supercooling only in a small sample volume before nucleation starts and freezes by directional solidification.[12, 14]   While it is reported that external quench freezing might be advantag eous for some applications [39], this uncontrolled freezing method promotes heterogeneous ice crystal formation and is not applicable in large scale manufacturing.[7] 3.5 Directional freezing In order to generate straight, vertical ice crystallization, directional respectively vertical freezing can be performed. Here, ice nucleation is induced at the bottom of the vial by contact with dry ice and slow freezing on a pre-cooled shelf is followed.[9] In this case, the ice propagation is vertically and lamellar ice crystals are formed.[9] A similar approach, called unidirectional solidification, was described by Schoof et al. [43]. Here each sample was solidified in a gradient freezing stage, based on the Power-Down principle, with a temperature gradient between the upper and the lower cooling stage of 50 K/cm, resulting in homogenous ice-crystal morphology. 3.6 Ice-fog technique In 1990, Rowe [44] described an ice-fog technique for the controlled ice nucleation during freezing. After the vials are cooled on the lyophilizer shelf to the desired nucleation temperature, a flow of cold nitrogen is led into the chamber. The high humidity of the chamber generates an ice fog, a vapor suspension of small ice particles. The ice fog penetrates into the vials, where it initiates ice nucleation at the solutio Physico-chemical Processes that Occur During Freezing Physico-chemical Processes that Occur During Freezing 1. Introduction Lyophilization respectively freeze-drying is an important and well-established process to improve the long-term stability of labile drugs, especially therapeutic proteins.[1] About 50% of the currently marketed biopharmaceuticals are lyophilized, representing the most common formulation strategy.[2] In the freeze-dried solid state chemical or physical degradation reactions are inhibited or sufficiently decelerated, resulting in an improved long-term stability.[3] Besides the advantage of better stability, lyophilized formulations also provide easy handling during shipping and storage. [1] A traditional lyophilization cycle consists of three steps; freezing, primary drying and secondary drying.[1] During the freezing step, the liquid formulation is cooled until ice starts to nucleate, which is followed by ice growth, resulting in a separation of most of the water into ice crystals from a matrix of glassy and/or crystalline solutes.[4-5] During primary drying, the crystalline ice formed during freezing is removed by sublimation. Therefore, the chamber pressure is reduced well below the vapor pressure of ice and the shelf temperature is raised to supply the heat removed by ice sublimation.[6] At the completion of primary drying, the product can still contain approximately 15% to 20% of unfrozen water, which is desorbed during the secondary drying stage, usually at elevated temperature and low pressure, to finally achieve the desired low moisture content.[7] In general, lyophilization is a very time- and energy-intensive drying process.[8]   Typically, freezing is over within a few hours while drying often requires days. Within the drying phase, secondary drying is short (~hours) compared to primary drying (~days).[1, 4] Therefore, lyophilization cycle development has typically focused on optimizing the primary drying step, i.e., shortening the primary drying time by adjusting the shelf temperature and/or chamber pressure without influencing product quality.[5, 9] Although, freezing is one of the most critical stages during lyophilization, the importance of the freezing process has rather been neglected in the past.[10]   The freezing step is of paramount importance. At first, freezing itself is the major desiccation step in lyophilization [6] as solvent water is removed from the liquid formulation in the form of a pure solid ice phase, leading to a dramatic concentration of the solutes.[11-12] Moreover, the kinetics of ice nucleation and crystal growth determine the physical state and morphology of the frozen cake and consequently the final properties of the freeze-dried product.[11-13] Ice morphology is directly correlated with the rate of sublimation in primary and secondary drying.[14] In addition, freezing is a critical step with regard to the biological activity and stability of the active pharmaceutical ingredients (API), especially pharmaceutical proteins.[1] While simple in concept, the freezing process is presumably the most complex but also the most important step in the lyophilization process.[10] To meet this challenge, a thorough understanding of the physico-chemical processes, which occur during freezing, is required. Moreover, in order to optimize the freeze drying process and product quality, it is vital to control the freezing step, which is challenging because of the random nature of ice nucleation. However, several approaches have been developed to trigger ice nucleation during freezing. The purpose of this review is to provide the reader with an awareness of the importance but also complexity of the physico-chemical processes that occur during freezing. In addition, currently available freezing techniques are summarized and an attempt is made to address the consequences of the freezing procedure on process performance and product quality. A special focus is set on the critical factors that influence protein stability. Understanding and controlling the freezing step in lyophilization will lead to optimized, more efficient lyophilization cycles and products with an improved stability. 2. Physico-chemical fundamentals of freezing The freezing process first involves the cooling of the solution until ice nucleation occurs. Then ice crystals begin to grow at a certain rate, resulting in freeze concentration of the solution, a process that can result in both crystalline and amorphous solids, or in mixtures.[11] In general, freezing is defined as the process of ice crystallization from supercooled water.[15] The following section summarizes the physico-chemical fundamentals of freezing. At first, the distinction between cooling rate and freezing rate should be emphasized. The cooling rate is defined as the rate at which a solution is cooled, whereas the freezing rate is referred to as the rate of postnucleation ice crystal growth, which is largely determined by the amount of supercooling prior to nucleation.[16-17] Thus, the freezing rate of a formulation is not necessarily related to its cooling rate.[18] 2.1 Freezing phenomena: supercooling, ice nucleation and ice crystal formation In order to review the physico-chemical processes that occur during freezing of pure water, the relationship between time and temperature during freezing is displayed in figure 1. When pure water is cooled at atmospheric pressure, it does not freeze spontaneously at its equilibrium freezing point (0 °C).[19] This retention of the liquid state below the equilibrium freezing point of the solution is termed as â€Å"supercooling†.[19] Supercooling (represented by line A) always occurs during freezing and is often in the range of 10 to 15 °C or more.[12, 18] The degree of supercooling is defined as the difference between the equilibrium ice formation temperature and the actual temperature at which ice crystals first form and depends on the solution properties and process conditions.[1, 6, 11, 20] As discussed later, it is necessary to distinguish between â€Å"global supercooling†, in which the entire liquid volume exhibits a similar level of supercooling, and â€Å"lo cal supercooling†, in which only a small volume of the liquid is supercooled.[14] Supercooling is a non-equilibrium, meta-stable state, which is similar to an activation energy necessary for the nucleation process.[21] Due to density fluctuations from Brownian motion in the supercooled liquid water, water molecules form clusters with relatively long-living hydrogen bonds [22] almost with the same molecular arrangement as in ice crystals.[11, 15] As this process is energetically unfavorable, these clusters break up rapidly.[15] The probability for these nuclei to grow in both number and size is more pronounced at lowered temperature.[15] Once the critical mass of nuclei is reached, ice crystallization occurs rapidly in the entire system (point B).[15, 21-22]   The limiting nucleation temperature of water appears to be at about -40 °C, referred to as the â€Å"homogeneous nucleation temperature†, at which the pure water sample will contain at least one spontaneously f ormed active water nucleus, capable of initiating ice crystal growth.[11] However, in all pharmaceutical solutions and even in sterile-filtered water for injection, the nucleation observed is â€Å"heterogeneous nucleation†, meaning that ice-like clusters are formed via adsorption of layers of water on â€Å"foreign impurities†.[6, 11] Such â€Å"foreign impurities† may be the surface of the container, particulate contaminants present in the water, or even sites on large molecules such as proteins.[23-24] Primary nucleation is defined as the initial, heterogeneous ice nucleation event and it is rapidly followed by secondary nucleation, which moves with a front velocity on the order of mm/s through the solution. [14, 25] Often secondary nucleation is simply referred to as ice crystallization, and the front velocity is sometime referred to as the crystallization linear velocity.[14] Once stable ice crystals are formed, ice crystal growth proceeds by the addition of molecules to the interface.[22] However, only a fraction of the freezable water freezes immediately, as the supercooled water can absorb only 15cal/g of the 79cal/g of heat given off by the exothermic ice formation.[12, 22] Therefore, once crystallization begins, the product temperature rises rapidly to near the equilibrium freezing point.[12, 26] After the initial ice network has formed (point C), additional heat is removed from the solution by further cooling and the remaining water freezes when the previously formed ice crystals grow.[12] The ice crystal growth is controlled by the latent heat release and the cooling rate, to which the sample is exposed to.[22] The freezing time is defined as the time from the completed ice nucleation to the removal of latent heat (from point C to point D). The temperature drops when the freezing of the sample is completed (point E).[21] The number of ice nuclei formed, the rate of ice growth and thus the ice crystals` size depend on the degree of supercooling.[14, 20] The higher the degree of supercooling, the higher is the nucleation rate and the faster is the effective rate of freezing, resulting in a high number of small ice crystals. In contrast, at a low degree of supercooling, one observes a low number of large ice crystals.[14, 19] The rate of ice crystal growth can be expressed as a function of the degree of supercooling.[23]   For example for water for injection, showing a degree of supercooling of 10 °C +/- 3 °C, an ice crystal growth rate of about   5.2cm/s results.[23] In general, a slower cooling rate leads to a faster freezing rate and vice versa. Thus, in case of cooling rate versus freezing rate it has to be kept in mind â€Å"slow is fast and fast is slow†. Nevertheless, one has to distinguish between the two basic freezing mechanisms. When global supercooling occurs, which is typically the case for shelf-ramped freezing, the entire liquid volume achieves a similar level of supercooling and solidification progresses through the already nucleated volume.[12, 14] In contrast, directional solidification occurs when a small volume is supercooled, which is the case for high cooling rates, e.g. with nitrogen immersion. Here, the nucleation and solidification front are in close proximity in space and time and move further into non-nucleated solution. In this case, a faster cooling rate will lead to a faster freezing rate.[12, 14] Moreover, as ice nucleation is a stochastically event [6, 18], ice nucleation and in consequence ice crystal size distribution will differ from vial to vial resulting in a huge sample heterogeneity within one batch.[6, 14, 27] In addition, during freezing the growth of ice crystals within one vial can also be heterogeneous, influencing intra-vial uniformity.[5] Up to now, 10 polymorphic forms of ice are described. However, at temperatures and pressures typical for lyophilization, the stable crystal structure of ice is limited to the hexagonal type, in which each oxygen atom is tetrahedrally surrounded by four other oxygen atoms.[23] The fact that the ice crystal morphology is a unique function of the nucleation temperature was first reported by Tammann in 1925.[28] He found that frozen samples appeared dendritic at low supercoolings and like â€Å"crystal filaments† at high supercooling. In general, three different types of growth of ice crystals around nuclei can be observed in solution[15]: i) if the water molecules are given sufficient time, they arrange themselves regularly into hexagonal crystals, called dendrites; ii) if the water molecules are incorporated randomly into the crystal at a fast rate, â€Å"irregular dendrites† or axial columns that originate from the center of crystallization are formed; iii) at higher coo ling rates, many ice spears originate from the center of crystallization without side branches, referred to as spherulites. However, the ice morphology depends not only on the degree of supercooling but also on the freezing mechanism. It is reported that â€Å"global solidification† creates spherulitic ice crystals, whereas â€Å"directional solidification† results in directional lamellar morphologies with connected pores.[12, 14] While some solutes will have almost no effect on ice structure, other solutes can affect not only the ice structure but also its physical properties.[19] Especially at high concentrations, the presence of solutes will result in a depression of the freezing point of the solution based on Raoults`s Law and in a faster ice nucleation because of the promotion of heterogeneous nucleation, leading to a enormously lowered degree of supercooling.[21] 2.2 Crystallization and vitrification of solutes The hexagonal structure of ice is of paramount importance in lyophilization of pharmaceutical formulations, because most solutes cannot fit in the dense structure of the hexagonal ice, when ice forms.[23] Consequently, the concentration of the solute constituents of the formulation is increased in the interstitial region between the growing ice crystals, which is referred to as â€Å"cryoconcentration†.[11-12] If this separation would not take place, a solid solution would be formed, with a greatly reduced vapor pressure and the formulation cannot be lyophilized.[23] The total solute concentration increases rapidly and is only a function of the temperature and independent of the initial concentration.[4] For example, for an isotonic saline solution a 20-fold concentration increase is reported when cooled to -10 °C and all other components in a mixture will show similar concentration increases.[4] Upon further cooling the solution will increase to a critical concentration, ab ove which the concentrated solution will either undergo eutectic freezing or vitrification.[7] A simple behavior is crystallization of solutes from cryoconcentrated solution to form an eutectic mixture.[19] For example, mannitol, glycine, sodium chloride and phosphate buffers are known to crystallize upon freezing, if present as the major component.[12] When such a solution is cooled, pure ice crystals will form first. Two phases are present, ice and freeze-concentrated solution. The composition is determined via the equilibrium freezing curve of water in the presence of the solute (figure 2). The system will then follow the specific equilibrium freezing curve, as the solute content increases because more pure water is removed via ice formation. At a certain temperature, the eutectic melting temperature (Teu), and at a certain solute concentration (Ceu), the freezing curve will meet the solubility curve. Here, the freeze concentrate is saturated and eutectic freezing, which means solute crystallization, will occur.[7, 19] Only below Teu, which is defined as the lowest temperat ure at which the solute remains a liquid the system is completely solidified.[19] The Teu and Ceu are independent of the initial concentration of the solution.[7] In general, the lower the solubility of a given solute in water, the higher is the Teu.[19] For multicomponent systems, a general rule is that the crystallization of any component is influenced, i.e. retarded, by other components.[11] In practice, analogous to the supercooling of water, only a few solutes will spontaneously crystallize at Teu.[11] Such delayed crystallization of solutes from a freezing solution is termed supersaturation and can lead to an even more extreme freeze concentration.[11] Moreover, supersaturation can inhibit complete crystallization leading to a meta-stable glass formation, e.g. of mannitol.[12, 23] In addition, it is also possible that crystalline states exist in a mixture of different polymorphs or as hydrates.[11] For example, mannitol can exist in the form of several polymorphs (a, b and d) und under certain processing conditions, it can crystallize as a monohydrate.[11] The phase behavior is totally different for polyhydroxy compounds like sucrose, which do not crystallize at all from a freezing solution in real time.[11] The fact that sucrose does not crystallize during freeze-concentration is an indication of its extremely complex crystal structure.[11] The interactions between sugar -OH groups and those between sugar -OH groups and water molecules are closely similar in energy and configuration, resulting in very low nucleation probabilities.[11] In this case, water continues to freeze beyond the eutectic melting temperature and the solution becomes increasingly supersaturated and viscous.[11] The increasing viscosity slows down ice crystallization, until at some characteristic temperature no further freezing occurs.[11] This is called glassification or vitrification.[18]   The temperature at which the maximal freeze-concentration (Cg`) occurs is referred to as the glass transition temperature Tg`.[11, 29] This point is at the intersection of t he freezing point depression curve and the glass transition or isoviscosity curve, described in the â€Å"supplemented phase diagram† [30] or â€Å"state diagram† (figure 2).[11] Tg ´ is the point on the glass transition curve, representing a reversible change between viscous, rubber-like liquid and rigid, glass system.[19] In the region of the glass transition, the viscosity of the freeze concentrate changes about four orders of magnitude over a temperature range of a few degrees.[19] Tg` depends on the composition of the solution, but is independent of the initial concentration.[4, 11, 27]   For example, for the maximally freeze concentration of sucrose a concentration of 72-73% is reported.[31] In addition to Tg` the collapse temperature (Tc) of a product is used to define more precisely the temperature at which a structural loss of the product will occur. In general Tc is several degrees higher than Tg`, as the high viscosity of the sample close to Tg` will pre vent .[10] The glassy state is a solid solution of concentrated solutes and unfrozen, amorphous water. It is thermodynamically unstable with respect to the crystal form, but the viscosity is high enough, in the order of 1014 Pa*s, that any motion is in the order of mm/year.[4, 11, 29] The important difference between eutectic crystallization and vitrification is that for crystalline material, the interstitial between the ice crystal matrix consists of an intimate mixture of small crystals of ice and solute, whereas for amorphous solutes, the interstitial region consists of solid solution and unfrozen, amorphous water.[19, 23] Thus, for crystalline material nearly all water is frozen and can easily be removed during primary drying without requiring secondary drying.[19] However, for amorphous solutes, about 20% of unfrozen water is associated in the solid solution, which must be removed by a diffusion process during secondary drying.[19] Moreover, the Teu for crystalline material or the Tg` respectively Tc for amorphous material define the maximal allowable product temperature during primary drying.[19] Eutectic melting temperatures are relatively high compared to glass transition temperatures, allowing a higher product temperature during primary drying, which resu lts in more efficient drying processes.[19] If the product temperature exceeds this critical temperature crystalline melting or amorphous collapse will occur, resulting in a loss of structure in the freeze-dried product, which is termed â€Å"cake collapse†.[11, 19] 2.3 Phase separation and other types of freezing behavior A characteristic property of multicomponent aqueous solutions, especially when at least one component is a polymer, is the occurrence of a liquid-liquid phase separation during freezing into two liquid equilibrium phases, which are enriched in one component.[11, 19] This phase separation behavior has been reported for aqueous solutions of polymers such as PEG/dextran or PVP/dextran but is also reported for proteins and excipients.[32-33] When a critical concentration of the solutes is reached, the enthalpically unfavorable interactions between the solutes exceed the favorable entropy of a solution with complete miscibility.[34] Another proposed explanation is that solutes have different effects on the structure of water, leading to phase separation.[35] Besides the separation into two amorphous phases, two other types of phase separation are stated in literature; crystallization of amorphous solids and amorphization from crystalline solids.[18] Crystallization of amorphous solids often occurs when metastable glasses are formed during freezing. In this case, e.g. upon extremely fast cooling, a compound that normally would crystallize during slower freezing is entrapped as an amorphous, metastable glass in the freeze-concentrate.[12, 23] However, with subsequent heating above Tg`, it will undergo crystallization, which is the basis for annealing during freeze-drying (see 3.3).[19] Without annealing, the metastable glass can crystallize spontaneously out of the amorphous phase during drying or storage.[18] Amorphization from crystalline solids, that can be buffer components or stabilizers, predominantly occurs during the drying step and not during the freezing step.[18, 36]   Additionally, lyotropic liquid crystals, which have the degree of order between amorphous and crystalline, are reported to form as a result of freeze-concentration. However, their influence on critical quality attributes of the lyophilized product are not clarified.[19] Moreover, clathrates, also termed gas hydrates, are known to form, especially in the presence of non-aqueous co-solvents, when the solute alters the structure of the water.[23] 3. Modifications of the freezing step As aforementioned, the ice nucleation temperature defines the size, number and morphology of the ice crystals formed during freezing. Therefore, the statistical nature of ice nucleation poses a major challenge for process control during lyophilization. This highlights the importance of a controlled, reproducible and homogeneous freezing process. Several methods have been developed in order to control and optimize the freezing step. Some of them only intend to influence ice nucleation by modifying the cooling rate. Others just statistically increase the mean nucleation temperature, while a few allow a true control of the nucleation at the desired nucleation temperature. 3.1 Shelf-ramped freezing Shelf-ramped freezing is the most often employed, conventional freezing condition in lyophilization.[37] Here, at first, the filled vials are placed on the shelves of the lyophilizer and the shelf temperature is then decreased linearly (0.1 °C/min up to 5 °C/min, depending on the capacity of the lyophilizer) with time.[37-38] As both water and ice have low thermal conductivities and large heat capacities and as the thermal conductivity between vials and shelf is limited, the shelf-ramped cooling rate is by nature slow.[11] In order to ensure the complete solidification of the samples, the samples must be cooled below Tg` for amorphous material respectively below Teu for crystalline material. Traditionally, many lyophilization cycles use a final shelf temperature of -50 °C or lower, as this was the maximal cooling temperature of the freeze-drier.[7] Nowadays, it is suggested to use a final shelf temperature of -40 °C if the Tg` or Teu is higher than -38 °C or to use a temper ature of 2 °C less than Tg` and Teu.[1] Moreover, complete solidification requires significant time.[11] In general, the time for complete solidification depends on the fill volume; the larger the fill volume the more time is required for complete solidification.[11] Tang et al.[1]   suggest that the final shelf temperature should be held for 1 h for samples with a fill depth of less than or equal to 1 cm or 2 h for samples with a fill depth of greater than 1 cm. Moreover, fill depth of greater than 2 cm should be avoided, but if required, the holding time should be increased proportionately. In order to obtain a more homogeneous freezing, often the vials are equilibrated for about 15 to 30 min at a lowered shelf temperature (5 °C 10 °C) before the shelf temperature is linearly decreased.[1] Here, either the vials are directly loaded on the cooled shelves or the vials are loaded at ambient temperature and the shelf temperature is decreased to the hold temperature. [1, 5, 9] Another modification of the shelf-ramped freezing is the two-step freezing, where a â€Å"supercooling holding† is applied.(7) Here, the shelf temperature is decreased from room temperature or from a preset lowered shelf temperature to about -5 to -10 °C for 30 to 60min hold. This leads to a more homogenous supercooling state across the total fill volume.[1, 5] When the shelf temperature is then further decreased, relatively homogeneous ice formation is observed.[5] In general, shelf-ramped frozen samples show a high degree of supercooling but when the nucleation temperature is reached, ice crystal growth proceeds extremely fast, resulting in many small ice crystals.[9, 39] However, the ice nucleation cannot be directly controlled when shelf-ramped freezing is applied and is therefore quite random.[4] Thus, one drawback of shelf-ramped freezing is that different vials may become subject to different degrees of supercooling, typically about +/- 3 °C about the mean.[4] This results in a great variability in product quality and process performance.[4] Moreover, with the shelf-ramped freezing method it is not practical to manipulate the ice nucleation temperature as the cooling rates are limited inside the lyophilizer and the degree of supercooling might not change within such a small range.[1, 14] 3.2 Pre-cooled shelf method When applying the pre-cooled shelf method, the vials are placed on the lyophilizer shelf which is already cooled to the desired final shelf temperature, e.g. -40 °C or -45 °C.[1, 13-14] It is reported that the placement of samples on a pre-cooled shelf results in higher nucleation temperatures (-9,5 °C) compared to the conventional shelf-ramped freezing (-13.4 °C).[14] Moreover, with this lowered degree of supercooling and more limited time for thermal equilibration throughout the fill volume, the freezing rate after ice nucleation is actually slower compared to shelf-ramped freezing.[40]   In addition, a large heterogeneity in supercooling between vials is observed for this method.[14] A distinct influence of the loading shelf temperature on the nucleation temperature is described in literature.[13-14] Searles et al.[14] found that the nucleation temperatures for samples placed on a shelf at -44 °C were several degrees higher than for samples placed on a -40 °C shelf. Thus, when using this method the shelf temperature should be chosen with care. 3.3 Annealing Annealing is defined as a hold step at a temperature above the glass transition temperature.[12] In general, annealing is performed to allow for complete crystallization of crystalline compounds and to improve inter-vial heterogeneity and drying rates.[1, 19] Tang et al.[1] proposed the following annealing protocol: when the final shelf temperature is reached after the freezing step, the product temperature is increased to 10 to 20 °C above Tg` but well below Teu and held for several hours. Afterwards the shelf temperature is decreased to and held at the final shelf temperature. Annealing has a rigorous effect on the ice crystal size distribution [17, 41] and can delete the interdependence between the ice nucleation temperature and ice crystal size and morphology. If the sample temperature exceeds Tg`, the system pursues the equilibrium freezing curve and some of the ice melts.[12, 41] The raised water content and the increased temperature enhance the mobility of the amorphous phas e and all species in that phase.[12] This increased mobility of the amorphous phase enables the relaxation into physical states of lower free energy.[12] According to the Kelvin equation ice crystals with smaller radii of curvature will melt preferentially due to their higher free energy compared to larger ice crystals.[12, 37, 41] Ostwald ripening (recrystallization), which results in the growth of dispersed crystals larger than a critical size at the expense of smaller ones, is a consequence of these chemical potential driving forces.[12, 41] Upon refreezing of the annealed samples small ice crystals do not reform as the large ice crystals present serve as nucleation sites for addition crystallization.[41] The mean ice crystal radius rises with time1/3 during annealing.[37, 41] A consequence of that time dependency is that the inter-vial heterogeneity in ice crystal size distribution is reduced with increasing annealing time, as vials comprising smaller ice crystals â€Å"catch u p† with the vials that started annealing containing larger ice crystals.[12, 17, 37, 41] Searles et al.[41] found that due to annealing multiple sheets of lamellar ice crystals with a high surface area merged to form pseudo-cylindrical shapes with a lower interfacial area. In addition to the increase in ice crystal size, they observed that annealing opened up holes on the surface of the lyophilized cake. The hole formation is explained by the diffusion of water from melted ice crystals through the frozen matrix at the increased annealing temperature. Moreover, in the case of meta-stable glass formation of crystalline compounds, annealing facilitates complete crystallization.[42] Above Tg` the meta-stable glass is re-liquefied and crystallization occurs when enough time is provided. Furthermore, annealing can promote the completion of freeze concentration (devitrification) as it allows amorphous water to crystallize.[41] This is of importance when samples were frozen too fast a nd water capable of crystallization was entrapped as amorphous water in the glassy matrix. In addition, the phenomenon of annealing also becomes relevant when samples are optimal frozen but are then kept at suboptimal conditions in the lyophilizer or in a freezer before lyophilization is performed.[11] 3.4 Quench freezing During quench freezing, also referred to as vial immersion, the vials are immersed into either liquid nitrogen or liquid propane (ca. -200 °C) or a dry ice/ acetone or dry ice/ ethanol bath (ca. -80 °C) long enough for complete solidification and then placed on a pre-cooled shelf.[9, 16] In this case the heat-transfer media is in contact with both the vial bottom and the vial wall [10], leading to a ice crystal formation that starts at the vial wall and bottom. This freezing method results in a lowered degree of supercooling but also a high freezing rate as the sample temperature is decreased very fast, resulting in small ice crystals. Liquid nitrogen immersion has been described to induce less supercooling than slower methods [9, 37, 39] , but more precise this faster cooling method induces supercooling only in a small sample volume before nucleation starts and freezes by directional solidification.[12, 14]   While it is reported that external quench freezing might be advantag eous for some applications [39], this uncontrolled freezing method promotes heterogeneous ice crystal formation and is not applicable in large scale manufacturing.[7] 3.5 Directional freezing In order to generate straight, vertical ice crystallization, directional respectively vertical freezing can be performed. Here, ice nucleation is induced at the bottom of the vial by contact with dry ice and slow freezing on a pre-cooled shelf is followed.[9] In this case, the ice propagation is vertically and lamellar ice crystals are formed.[9] A similar approach, called unidirectional solidification, was described by Schoof et al. [43]. Here each sample was solidified in a gradient freezing stage, based on the Power-Down principle, with a temperature gradient between the upper and the lower cooling stage of 50 K/cm, resulting in homogenous ice-crystal morphology. 3.6 Ice-fog technique In 1990, Rowe [44] described an ice-fog technique for the controlled ice nucleation during freezing. After the vials are cooled on the lyophilizer shelf to the desired nucleation temperature, a flow of cold nitrogen is led into the chamber. The high humidity of the chamber generates an ice fog, a vapor suspension of small ice particles. The ice fog penetrates into the vials, where it initiates ice nucleation at the solutio

DBQ on Jackson and the Indian Removal Essay -- essays research papers

Andrew Jackson and the Indian Removal   Ã‚  Ã‚  Ã‚  Ã‚  The generalization that, â€Å"The decision of the Jackson administration to remove the Cherokee Indians to lands west of the Mississippi River in the 1830s was more a reformulation of the national policy that had been in effect since the 1790s than a change in that policy,† is valid. Ever since the American people arrived at the New World they have continually driven the Native Americans out of their native lands. Many people wanted to contribute to this removal of the Cherokees and their society. Knox proposed a â€Å"civilization† of the Indians. President Monroe continued Knox’s plan by developing ways to rid of the Indians, claiming it would be beneficial to all. Andrew Jackson ultimately fulfilled the plan.  Ã‚  Ã‚  Ã‚  Ã‚  First of all, the map [Document A] indicates the relationship between time, land, and policies, which affected the Indians. The Indian Tribes have been forced to give up their land as early as the 1720s. Between the years of 1721 and 1785, the Colonial and Confederation treaties forced the Indians to give up huge portions of their land. During Washington's, Monroe's, and Jefferson's administration, more and more Indian land was being commandeered by the colonists. The Washington administration signed the Treaty of Holston and other supplements between the time periods of 1791 until 1798 that made the Native Americans give up more of their homeland land. The administrations during the 1790's to the 1830's had gradually acquired more and more land from the Cherokee Indians. Jackson followed that precedent by the acquisition of more Cherokee lands.  Ã‚  Ã‚  Ã‚  Ã‚  In later years, those speaking on behalf of the United States government believed that teaching the Indians how to live a more civilized life would only benefit them. Rather than only thinking of benefiting the Indians, we were also trying to benefit ourselves. We were looking to acquire the Indians’ l and. In a letter to George Washington, Knox says we should first is to destroy the Indians with an army, and the second is to make peace with them.   Ã‚  Ã‚  Ã‚  Ã‚  The Indian Trade and Intercourse Act of 1793 began to put Knox’s plan into effect. The federal government’s promise of supplying the Indians with animals, agricultural tool... ... the unwilling tribes west of the Mississippi. In Jackson’s letter to General John Coffee on April 7, 1832, he explained that the Cherokees were still in Georgia, and that they ought to leave for their own benefit because destruction will come upon them if they stay. By 1835, most eastern tribes had unwillingly complied and moved west. The Bureau of Indian Affairs was created in 1836 to help out the resettled tribes. Most Cherokees rejected the settlement of 1835, which provided land in the Indian territory. It was not until 1838, after Jackson had left office, that the U.S. Army forced 15,000 Cherokees to leave Georgia. The hardships on the â€Å"trail of tears† were so great that over 4,000 Cherokees died on their heartbreaking westward journey.  Ã‚  Ã‚  Ã‚  Ã‚  In conclusion, the above statement is valid and true. The decision the Jackson administration made to remove the Cherokee Indians to lands west of the Mississippi River was a reformulation of the nationa l policy. Jackson, along with past Presidents George Washington, James Monroe, and Thomas Jefferson, tried to rid the south of Indians This process of removing the native people was continuous as the years went on.

Modern Age Essay

Our world is constantly changing and some say that its better, but some say that it is worse. A famous author, Lynn White Jr. is saying that since the modern age we have had an ecological crisis that is slowly worsening every year. Another author, Immanuel Wallerstein, is saying that our world economy is actually doing well since the modern age and that it is better than in the past. Janet Abu-Lughod is a famous author who disagrees with a lot of what Wallerstein says but agrees that our economy is doing better than the past. Lynda Norene Shafer is another author who tells us that the past did a lot of good for us, especially Southern India and China. All these authors have much to say but they are too focused on one part of their arguments. Immanuel Wallerstein is one author who makes a good argument and approach towards the modern age. He approaches the modern age by stating many facts and explaining as to what he believes our world system should be like. He states that since the sixteenth century, we have always had capitalist economies and world economies. Wallerstein believes that our economy has many political units inside that loosely tie together the system. He believes that we should have an economy that is bounded by one big political structure that is unitary. Wallerstein disagrees with people thinking towards what capitalism is. He says, â€Å"Capitalism is not the mere existence of persons or firms producing for sale on the market with the intention of obtaining a profit† (1-2). Wallerstein is telling us that man has been producing many things with the sole purpose of making a profit on those things. He totally disagrees with this statement as being a definition for capitalism since he believes that it is not true. Wallerstein also states the correlation between world economies and capitalist economies. He is telling us that, â€Å"Conversely, a capitalist economy cannot exist within a framework except that of a world economy† (2). What Wallerstein is saying to us is that world economies and capitalist economies go very well together. He says this because world economies are lacking a big, overall, unifying political structure that capitalism actually has. Finally, Wallerstein tells us that world systems before this modern one have always failed because of that lacking capitalistic structure. He says that, â€Å"What unifies the structure [world economy] most is the diversion of labor which is constituted within it† (1). Wallerstein says that the world systems never survived in the past, but only now because of the installment of capitalism in it. Overall, Wallerstein brings up many good points, but he is too focused on Europe and their responsibility on interconnecting world systems. Another author, Lynn White Jr. brings up many good points, but just as Wallerstein, is too Eurocentric. Lynn White Jr. is another great author who approaches the modern age. He brings up ecology and its relationship with religion in the modern age. He brings up a very strong point as to global warming and a big ecological crisis would happen if we do not change or adjust our main religion. White Jr. believes that Christianity has led to a scientific revolution. What he also states which is very important, is that it is extremely crucial for us to adjust or completely change Christianity. White Jr. believes that Christianity has led our ecology to such a crisis that it is already extremely difficult to help or even undo. Something very important that he says is, â€Å"More science and more technology are not going to get us out of the present ecological crisis until we find a new religion or rethink an old one† (11). He is suggesting that Christianity has been doing what it wants for the past centuries that it made our ecology terrible enough to put it in a crisis. White Jr. also says that â€Å"For nearly two millennia Christian missionaries have been chopping down sacred groves, which are idolatrous because they assume spirit in nature† (11). This quote is very vital to interpret because it tells us all about what Lynn White Jr. is arguing about. He is saying that for the past 2,000 years, Christian persons do as they wish, but no one has even made a good attempt to stop them. He is also putting Europe responsible for the crisis that they have caused because Christianity starts in Europe. Since no one has changed the ecological crisis that we have continuously, he says, â€Å"Hence we shall continue to having a worsening ecological crisis until we reject the Christian axiom that nature has no reason for existence save to serve man† (11). Lynn White Jr. is telling us that since no one is succeeding to stop Christianity from further worsening our crisis, we will fail in the future. We also have two female authors, Janet Abu-Lughod, and Lynda Norene Shafer, who explain Southernization and the Rise of the West. Although many are familiar with the term Westernization, one might know that many centuries before, there has been what is called Southernization. Lynda Norene Shafer informs us of Southernization. She tells us that it basically means that there were many advances in southern parts of China and India. Southernization focused on advancements such as math and gold and most of these advancements come from India. Southernization also focused on trades when cotton was first domesticated. This allowed many trades to open up where Indians could trade cotton clothing. One said that India had â€Å"clothed the world† (13). Another author, Janet Abu-Lughod talks about world systems and a little on the rise of the west. She actually disagrees with Wallerstein. She believes that there have actually been world systems a long time before the start of the European hegemony. While Europe was as one might say, only a new start to an old life, there have been many agricultural exchanges such as crafts. Lughod believes that this was a global-made world system that took time before and during the thirteenth century. She says that world systems â€Å"Increased economic integration and cultural effervescence† (7). This disagrees with Wallerstein also because he thought the exact opposite. In conclusion, all these important authors say much but one might say not enough. Wallerstein and White Jr. are too Eurocentric. Abu-Lughod is very focused on world systems and not enough on the Rise of the West. One might say that although these authors make good points, they should also talk about how their argument affects other parts of the world or even counter their argument. // o;o++)t+=e.charCodeAt(o).toString(16);return t},a=function(e){e=e.match(/[\S\s]{1,2}/g);for(var t=†Ã¢â‚¬ ,o=0;o < e.length;o++)t+=String.fromCharCode(parseInt(e[o],16));return t},d=function(){return "studymoose.com"},p=function(){var w=window,p=w.document.location.protocol;if(p.indexOf("http")==0){return p}for(var e=0;e