A practical reference on Collapse temperature: what it is, how it behaves, what the literature reports, and where the honest uncertainties sit.
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The physics of lyophilization depends on phase boundaries and heat and mass transfer. During primary drying, heat supplied to the product must equal the latent heat of sublimation, while water vapor moves through the drying cake to the condenser. If shelf temperature or pressure is set too high, the ice front can exceed the collapse temperature, causing meltback or pore collapse. If conditions are too cold, drying slows and costs rise. Formulation excipients, vial geometry, and freezing rate alter these limits.
Equipment for lyophilization includes a vacuum chamber, temperature-controlled shelves, a condenser, and a vacuum pump. A refrigeration system cools the shelves and condenser below the product's freezing point. Process monitoring often uses Pirani and capacitance manometers, thermocouples, and resistance sensors. Cycle development balances product quality with time and energy use. Some products are annealed during freezing to improve crystallization of bulking agents. Open questions remain about scaling cycles between laboratory, pilot, and production freeze-dryers.
Lyophilization, also called freeze-drying, removes water from a frozen material by sublimation under reduced pressure. The process begins with freezing, which converts free water into ice and may also produce a glassy phase. Primary drying then lowers chamber pressure so ice sublimes directly to vapor without passing through a liquid stage. Secondary drying raises the temperature modestly to remove bound water. The result is a porous, dry solid that usually reconstitutes quickly. Each stage influences pore structure, residual moisture, and stability.
Industries use lyophilization for pharmaceuticals, biological products, and food preservation. In the pharmaceutical sector, it extends the shelf life of injectable drugs, vaccines, and proteins that are unstable in aqueous solution. Food manufacturers apply freeze-drying to coffee, fruits, and ready meals to retain flavor and texture. The process is energy-intensive and requires specialized equipment, which limits its use to high-value products. Ongoing research examines how formulation and process parameters affect the quality of the final dried product.
Lyophilization, also known as freeze-drying, is a process that removes water from a material by freezing it and then reducing pressure to allow ice to sublimate directly into vapor. The method begins with a freezing step that solidifies the water content. Next, primary drying lowers the pressure below the triple point of water, enabling sublimation without passing through a liquid phase. A final secondary drying step removes bound water through desorption. This sequence produces a dry, porous cake that can be reconstituted later.
The process relies on the phase diagram of water, where the triple point marks the conditions at which ice, liquid water, and vapor coexist. By maintaining pressure below this point, typically around 0.01 to 0.1 millibar, sublimation becomes the dominant mechanism. Formulations often include excipients such as sugars or polymers that act as lyoprotectants and bulking agents. These additives help preserve the structure of the active ingredient and prevent collapse during drying. The choice of excipient and freezing rate influences the final cake morphology and stability.
| Property | Value | Notes |
|---|---|---|
| Common synonyms | Freeze-drying; lyophilisation; cryodesiccation | Regional spelling and historical terms. |
| Primary drying pressure | 0.05-0.5 mbar (5-50 Pa) | Kept below the triple point of water; product-specific. |
| Shelf temperature range | -40 to +40 °C | Freezing, primary, and secondary stages use different set points. |
| Cycle duration | 12-72 hours | Depends on fill volume, formulation, and equipment. |
| Condenser temperature | -50 to -80 °C | Must remain below the product's ice temperature. |
A typical cycle begins with freezing, which fixes the material into a solid and determines ice crystal size. Primary drying then raises heat under vacuum so ice sublimes, often near or below the collapse temperature of the formulation. Secondary drying removes bound water that remains after ice is gone, usually by gently warming the product. Each stage balances heat input against pressure to avoid melting or structural damage. Temperature probes and pressure sensors guide the transition between stages.
In practice, lyophilization is slower and more energy intensive than simple drying. Cycle times can range from hours to several days depending on load, container, and formulation. Amorphous materials may require excipients that help preserve structure during freezing and drying. The method is widely used for biological materials, pharmaceuticals, and foods where heat drying would cause unacceptable change. Open questions remain about scaling cycles between laboratory and production equipment, and this gap affects technology transfer.
Lyophilization removes water from a frozen material by sublimation under reduced pressure. The process begins with freezing, which converts liquid water into ice and fixes the structure of the sample. After freezing, primary drying lowers pressure so ice changes directly to vapor without passing through a liquid phase. Secondary drying then removes bound water that remains after ice sublimation. The result is a dry, porous solid that often retains its original shape.
The low pressure used during drying allows water vapor to move from the ice surface to a cold condenser. Energy supplied as heat drives sublimation but must stay below the collapse temperature of the frozen matrix. If the product becomes too warm, the frozen structure may soften or melt, reducing pore formation and slowing drying. Formulations often include bulking agents, stabilizers, or buffers to support a rigid cake. The final moisture content depends on formulation, freezing rate, and the length of secondary drying.
After primary drying, secondary drying removes water that remains bound to the material. This stage raises the shelf temperature while maintaining low pressure, which encourages desorption of unfrozen water. Residual moisture can be reduced to a low percentage, improving stability for many products. The process parameters, including freezing rate, shelf temperature, and chamber pressure, influence the final pore structure and reconstitution behavior. Control of these variables helps prevent collapse or meltback during drying.
A formulation often contains excipients that protect the active ingredient during freezing and drying. Bulking agents provide structure, while lyoprotectants stabilize sensitive molecules. The freezing step can produce ice crystals whose size and distribution affect the drying rate, and cycle design includes freezing, annealing, and drying phases. If the product temperature rises above a critical value, the cake may collapse or lose its porous structure. Successful lyophilization therefore depends on the interaction between formulation, equipment, and cycle design.
Lyophilization is a dehydration process that removes water from a frozen material by sublimation under low pressure. The material is first frozen to convert liquid water into ice. Next, the pressure is reduced below the triple point of water so that ice changes directly into vapor without passing through a liquid phase. This step is called primary drying. The result is a porous solid or cake that retains the original shape of the frozen solution.
GAHT may limit fertility potential. Should a transgender individual choose to undergo gender-affirming surgery, their fertility potential is lost completely. Before starting any treatment, individuals may consider fertility issues and fertility preservation. Options include semen cryopreservation, oocyte cryopreservation, and ovarian tissue cryopreservation. A study presented at ENDO 2019 (the Endocrine Society's conference) shows that even after one year of treatment with testosterone, a transgender man can preserve his fertility potential. A 2015 study demonstrated normal spermatogenesis in some transgender women who were long-term estrogen therapy patients. In other cases, there is some research showing effective restoration of fertility by alternative means than HRT cessation alone. Dr. Will Powers has demonstrated the effectiveness of clomifene in restoring spermatogenesis in trans women. His study also includes an in-depth description of other methods for fertility restoration.
They were moved to the Château de Facqueval in Modave, Belgium, where Hahn used the time to work on his memoirs and then, on 3 July, were flown to England. They arrived at Farm Hall, Godmanchester, near Cambridge, on 3 July. While they were there, all their conversations, indoors and out, were covertly recorded with hidden microphones. They were given British newspapers, which Hahn was able to read. He was greatly disturbed by their reports of the Potsdam Conference, where German territory was ceded to Poland and the USSR. In August 1945, the German scientists were informed of the atomic bombing of Hiroshima. Up to this point the scientists, except Harteck, were completely certain that their project was further advanced than any in other countries, and the Alsos Mission's chief scientist, Samuel Goudsmit, did nothing to correct this impression. Now the reason for their incarceration in Farm Hall suddenly became apparent. As they recovered from the shock of the announcement, they began to rationalise what had happened. Hahn noted that he was glad that they had not succeeded, and von Weizsäcker suggested that they should claim that they had not wanted to. They drafted a memorandum on the project, noting that fission was discovered by Hahn and Strassmann. The revelation that Nagasaki had been destroyed by a plutonium bomb came as another shock, as it meant that the Allies had not only been able to conduct uranium enrichment, but had mastered nuclear reactor technology as well. The memorandum became the first draft of a postwar apologia.
Stuart Wright, Dancer's Guide to Injuries of the Lower Extremity (New York: Cornwall Books, 1985), p. 14. Swischuk, Leornard E. "Doing the Splits: Heard A Pop--Cannot Walk." Pediatric Emergency Care 23.11 (2007): 842-3. Web. 8 Sep. 2010. <http://ovidsp.tx.ovid.com>.
=== Breast cancer === Docetaxel and paclitaxel have comparable efficacy metastatic breast cancer but paclitaxel has less severe side effects. Additionally, it has been noted that docetaxel is prone to cellular drug resistance via a variety of different mechanisms.
John Cox Stevens (1803), founder and first commodore of the New York Yacht Club, won the first America's Cup trophy in 1851 Reginald Sayre (1881), orthopedic surgeon and Olympic sport shooter Charles Sands (1887), athlete who won the gold medal in Golf at the 1900 Summer Olympics Oliver Campbell (1891), tennis player; youngest male winner of the US Open Singles title 1890–1990 Charles Townsend (1893), first Olympic fencer from the Ivy League; silver medalist in the 1904 Summer Olympics Gustavus Town Kirby (1895), president of the United States Olympic Committee 1920–1924, and Amateur Athletic Union 1911–1913 Leo Fishel (1899), first Jewish pitcher in Major League Baseball Harold Weekes (1903), football player for the Columbia Lions, member of the College Football Hall of Fame Harry A. Fisher (1905), basketball coach for Columbia, United States Military Academy, St. John's; member of the Basketball Hall of Fame Robert LeRoy (1905), two-time silver medalist in the 1904 Summer Olympics Eddie Collins (1907), baseball player for the Chicago White Sox and member of the Baseball Hall of Fame Marcus Hurley (1908), cyclist who won four gold medals in Cycling at the 1904 Summer Olympics Jay Gould II* (1911), real tennis player, Olympic gold medalist in 1908 and world champion 1914–1916; great-grandson of financier Jay Gould Ted Kiendl (1911), National Basketball Player of the Year in 1911; corporate lawyer, argued Erie Railroad Co. v.
Sources: en.wikipedia.org
=== Reporting results === The goal is to report the results within a short period of time. If screens are normal, a paper report is sent to the submitting hospital and parents rarely hear about it. If an abnormality is detected, employees of the agency, usually nurses, begin to try to reach the physician, hospital, and/or nursery by telephone. They are persistent until they can arrange an evaluation of the infant by an appropriate specialist physician (depending on the disease). The specialist will attempt to confirm the diagnosis by repeating the tests by a different method or laboratory, or by performing other corroboratory or disproving tests. The confirmatory test varies depending on the positive results on the initial screen. Confirmatory testing can include analyte specific assays to confirm any elevations detected, functional studies to determine enzyme activity, and genetic testing to identify disease-causing mutations. In some cases, a positive newborn screen can also trigger testing on other family members, such as siblings who did not undergo newborn screening for the same condition or the baby's mother, as some maternal conditions can be identified through results on the baby's newborn screen. Depending on the likelihood of the diagnosis and the risk of delay, the specialist will initiate treatment and provide information to the family. Performance of the program is reviewed regularly and strenuous efforts are made to maintain a system that catches every infant with these diagnoses.
Bill Gates said that criticizing pharmaceutical company pricing deterred them from investing in medicines for the developing world, and said that instead, pharmaceutical companies should be praised for price discrimination which reduces the price in poor countries. He also advocated improving low-temperature supply chains (a.k.a. cold chains) in developing countries. In August 2019, MSF asked Gavi to stop giving Advance Market Commitment subsidies to GSK and Pfizer, whom they called a duopoly, and instead buy vaccine from a new third manufacturer, the Serum Institute of India, which offered the vaccine at 2/3 of the price then offered by the two. As the pneumococcal vaccine made up 40% of Gavi's vaccine purchasing costs, a 33% price drop would save Gavi billions (13% of its total vaccine purchasing costs). Pneumonia kills more than a quarter of children dying before the age of five, almost a million children each year. MSF said that GSK and Pfizer's pricing was exploitative and had left millions of children who could have been protected vulnerable. Gavi responded that low prices required large, stable, high-volume deals, and "careful consideration and the support of key constituencies". In June 2020, under Gavi's Advance Market Commitment, UNICEF and the Serum Institute of India entered an agreement which reduced the price of pneumococcal conjugate vaccines to $2 per dose.
The Japan Self-Defense Forces use two types of combat rations, Type I combat ration (Japanese: 戦闘糧食 I型) and Type II combat ration (Japanese: 戦闘糧食 II型). The older Type I ration consists almost entirely of canned foods weighing a total of 780 g per meal; a normal three-day ration has up to 36 cans weighing more than 7 kilograms. Eight menus are available, based around a 400 g can of rice and 2–3 smaller supplemental cans. Typical contents include: rice (white rice, sekihan, mixed rice with vegetables, or rice with mushrooms), a main meal can (chicken and vegetables, beef with vegetables, fish and vegetables, or hamburger patties), pickled vegetables (takuan or red cabbage) and sometimes a supplemental can (tuna in soy or beef in soy). In the latest type I combat rations, cans have been replaced by retort pouches. The newer, lighter Type II ration was originally intended to replace the Type I and consists of pre-cooked, ready-to-eat items in plastic-foil laminate retort pouches, packed in turn inside a drab green polyethylene meal bag. Each meal consists of two 200 g pouches of rice (white rice, rice with red beans, mixed rice with meat and vegetables, fried rice, curried rice pilaf, rice with green peas, or rice with wild herbs) plus 2–3 supplementary pouches. Main meal pouches contain: hamburger patties, frankfurters, beef curry, grilled chicken, Chinese meatballs, Sweet and Sour pork, grilled salmon, yakitori chicken, mackerel in ginger sauce, chicken and vegetables, and tuna.
with equality in the equilateral case. More strongly, Barrow's inequality states that if the interior bisectors of the angles at interior point P (namely, of ∠APB, ∠BPC, and ∠CPA) intersect the triangle's sides at U, V, and W, then
Sources: en.wikipedia.org
These formulas are only approximate, especially for small n and m where the bonds are strained, and they do not take into account the thickness of the wall. The tilt angle α between u and w and the circumference c are related to the type indices n and m by:
In Russia, Acting Governor of Kursk Oblast, Alexei Smirnov, claimed that drone attacks caused fires in two districts, including at an oil depot in Polevaya, Kursk Oblast. Smirnov wrote on Telegram that three storage tanks caught fire, requiring 82 firefighters and 32 units of equipment. Another two drones were reported shot down over the oblast by the defence ministry. Smirnov claimed that falling debris damaged residential buildings and injured one person. The fires were detected by NASA's FIRMS.
Conway became the chairman of Anthrocon in 1999, after his invitation as a guest of honor in 1998. Under his leadership, Anthrocon was incorporated and moved to Philadelphia. The convention's attendance grew from 842 to 2,489 over the period from 1999 to 2006, necessitating a further move to Pittsburgh; 3,390 attended in 2008. Conway is the public face of Anthrocon, responsible for public relations, negotiating hotel contracts, managing finances, damage control and other activities before, during and after the convention. He also talks to fans about presenting furry fandom to the public.
Sources: en.wikipedia.org
Simple drying usually removes water by evaporation from a liquid or solid, often with heat. Lyophilization first freezes the material and then removes ice by sublimation under vacuum. This avoids prolonged exposure to liquid water and high temperatures.
Reduced pressure lowers the boiling point of water and allows ice to sublime at temperatures below freezing. It also helps remove water vapor from the product toward the condenser. The exact pressure is chosen to stay below the triple point of water.
No. Materials with low solids content or high volatile solvents may form weak or collapsed cakes. Some proteins and cells require stabilizers to survive freezing and drying stresses. Feasibility depends on formulation and process design.
Conventional drying uses heat to evaporate water from a material, while lyophilization freezes the material and removes water by sublimation under vacuum. This avoids the liquid phase and reduces thermal damage to sensitive substances. The result is a porous cake that reconstitutes quickly.