If you have been reading about sublimation and want a single page that covers the useful parts, this is it: definitions, context, how it is studied, and the questions that come up repeatedly.
Last reviewed on 2026-04-28. Where a claim depends on a specific study, the study is described rather than over-claimed.
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.
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.
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.
| 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. |
The physics of freeze-drying couples heat transfer, mass transfer, and phase change. Heat supplied through the shelf must reach the sublimation front without melting the ice or degrading the product. Water vapor then travels through the already dried layer and leaves the chamber, where low pressure and cold traps keep it from returning. The dried layer acts as a resistance to vapor flow, so drying rate changes as the front recedes. Open questions remain about how pore structure and formulation heterogeneity affect drying uniformity at larger scales.
Lyophilization removes water from a frozen material by sublimation under reduced pressure. The process begins with freezing, which converts liquid water into ice and concentrates dissolved solids. Primary drying then lowers chamber pressure so ice changes directly into vapor without passing through a liquid phase. Secondary drying raises the shelf temperature to remove bound water that remains after ice sublimation. The result is a dry, porous structure that can be reconstituted later.
Formulation composition influences whether freeze-drying produces an intact cake or a collapsed mass. Excipients such as sugars and polymers can raise the collapse temperature and provide bulk during drying. The critical temperature for primary drying is often the collapse temperature or the glass transition temperature of the maximally concentrated phase. If the product temperature exceeds this threshold, the frozen matrix may soften and lose structure. Established practice therefore links shelf temperature and chamber pressure to the formulation's thermal properties.
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.
=== Celeste Pacquet === Celeste Pacquet (Katrine De Candole) is a private wealth manager at Pierpoint. Yasmin meets her at a party hosted by her family friend Maxim Alonso, and Celeste plays along with Yasmin's assumption that she is a sex worker before eventually revealing her actual job. Yasmin, growing disgruntled with the FX desk, becomes increasingly drawn to working for PWM, in part due to her escalating flirtation with Celeste. Yasmin and Celeste eventually have sex, but Celeste reveals she is already in an open marriage with her wife and resents the power imbalance in their relationship, making Yasmin realize their affair is not as significant as she imagined. Yasmin brings in her father, Charles Hanani, as a PWM client, but soon regrets it after learning about his various affairs and subsequent NDA settlements, realizing he is a sexual predator. Celeste refuses to cut ties with Charles despite knowing about his inappropriate behavior firsthand, telling Yasmin that it is "better to work within a system and succeed than to wish for it to change and be left behind." A disillusioned Yasmin cuts ties with Celeste shortly thereafter.
Pseudoephedrine is available by itself over-the-counter in the form of 30 and 60 mg immediate-release and 120 and 240 mg extended-release oral tablets in the United States. Pseudoephedrine is also available over-the-counter and prescription-only in combination with numerous other drugs, including antihistamines (acrivastine, azatadine, brompheniramine, cetirizine, chlorpheniramine, clemastine, desloratadine, dexbrompheniramine, diphenhydramine, fexofenadine, loratadine, triprolidine), analgesics (acetaminophen, codeine, hydrocodone, ibuprofen, naproxen), cough suppressants (dextromethorphan), and expectorants (guaifenesin). Pseudoephedrine has been used in the form of the hydrochloride and sulfate salts and in a polistirex form. The drug has been used in more than 135 over-the-counter and prescription formulations. Many prescription formulations containing pseudoephedrine have been discontinued over time.
Meanwhile, the group "Friends of Yemen" was created, initially to stop al-Qaeda on the Arabian Peninsula (AQAP) after evidence pointed at it as the main perpetrator behind multiple attacks on US military bases and equipment. The "Friends of Yemen" group became more involved in Yemen during the Arab Spring of 2010 to 2012, after the Gulf Cooperation Council (GCC) and United Nations recommended putting the management of Yemen's "crisis" into the hands of global actors.
An insulin pump delivers insulin subcutaneously. The insulin pump body itself can also contain the algorithm used in an AID system, or it can connect via Bluetooth with a separate mobile device (such as a phone) to send data and receive commands to adjust insulin delivery. Algorithm The algorithm for each AID system differs. In commercial systems (see below), little is known about the details of how the control algorithm works. In open source systems, the code and algorithm are openly available. In general, all algorithms do the same basic functionality of taking in CGM data and based on predicted glucose level's and the user's personal settings (for basal rates, insulin sensitivity, and carbohydrate ratio, for example) then recommends insulin dosing to help bring or maintain glucose levels in target range. Depending on the system, users may have the ability to adjust the target for the system, and may have different settings to ask the system to give more or less insulin in general.
Sources: en.wikipedia.org
=== Simple AAS, PDCAAS === PDCAAS considers digestibility and AAS separately. It has a single "reference protein" profile, in which the amounts in milligrams of each essential amino acid (EAA) in each gram of the reference protein is listed. To find the AAS given the amino acid profile of the test protein Ti and the amino acid profile of the reference protein Ri:
In humans (and rodents), there are 3 major paired salivary glands and ~600-1000 smaller minor salivary glands. Serous acinar cells are primarily found in the parotid gland and the submandibular gland, while they are almost completely absent in the sublingual gland and most of the minor glands. The parotid gland is the largest of the salivary glands, and possesses acinar cells that are almost exclusively of the serous type. It produces around 50% of human saliva to help with digestion when stimulated, but only about 20% of saliva when resting. Consequently, the saliva it produces is watery and full of the enzyme α-Amylase, which helps break down carbohydrates. The submandibular gland produces the majority (~65%) of saliva in the resting state. It has a mix of serous and mucous acinar cells, and so the saliva it produces is thicker and full of mucus. In the submandibular gland, some acini are predominantly serous acinar cells (serous glands) or predominantly mucous acinar cells (mucous glands), while others are a mix (seromucous glands). The other salivary glands produce the last ~10% of saliva, and mainly possess mucous acinar cells. An exception is the set of Von Ebner glands, minor salivary glands located in the tongue that are primarily serous glands.
== Production == Copra has traditionally been grated and ground, then boiled in water to extract coconut oil. It was used by Pacific island cultures and became a valuable commercial product for merchants in the South Seas and South Asia in the 1860s. Nowadays, coconut oil (70%) is extracted by crushing copra; the by-product is known as copra cake or copra meal (30%). The coconut cake which remains after the oil is extracted is 18–25% protein, but contains so much dietary fiber it cannot be eaten in large quantities by humans. Instead, it is normally fed to ruminants.
While the band found success and critical acclaim, creative tensions were already developing. Giles and McDonald, still striving to cope with King Crimson's rapid success and the realities of touring life, became uneasy with their musical direction. Although he was neither the dominant composer nor the frontman, Fripp was very much the group's driving force and spokesman, leading them into progressively darker and more intense musical areas. McDonald and Giles, now favouring a lighter and more nuanced romantic style, became increasingly uncomfortable, and told Fripp they would be leaving the band upon the conclusion of the US tour. To keep the band together, Fripp offered to resign himself, but McDonald declared that King Crimson was "more (him) than them" and that he and Giles should therefore be the ones to leave. McDonald later said he "was probably not emotionally mature enough to handle it" and made a "rash decision to leave without consulting anyone". The original line-up played their last show at the Fillmore West in San Francisco on 14 December 1969, a little over one year after forming, with McDonald's and Giles's departures made official in January 1970. Live recordings of the band from 1969 were released in 1997 on Epitaph and in 2010 on the In the Court of the Crimson King (1969) box set. McDonald and Giles, as a spin-off duo from King Crimson, released a self-tiled album in 1971. Giles would go on to work as a session drummer, while McDonald would co-form Foreigner in 1976.
== Academia == In 2004, Peña taught as an adjunct professor at the Catholic University of Asunción, teaching financial theory. In 2005, he became a professor of economic policy at the same establishment. In addition, Peña has contributed to scholarship on monetary policy and finance. In 2017, he was invited by the Professor and current Ecuadorian ambassador to Chile Roberto Izurieta to participate as a visiting professor at the Graduate School of Political Management of the George Washington University in Washington D.C., where Peña shared his experience on public administration in Paraguay. He also was the thesis advisor of Geovanny Vicente, CNN columnist and professor at Columbia University.
Sources: en.wikipedia.org
== Causes == Disease: Infections including an anorectal abscess and inflammatory diseases including Crohn's disease and ulcerative colitis can result in fistulas. Fistulas to the anus may occur in hidradenitis suppurativa. In women, fistulas can also occur following pelvic infection and inflammation.
=== Eddy viscosity === In the study of turbulence in fluids, a common practical strategy is to ignore the small-scale vortices (or eddies) in the motion and to calculate a large-scale motion with an effective viscosity, called the "eddy viscosity", which characterizes the transport and dissipation of energy in the smaller-scale flow (see large eddy simulation). In contrast to the viscosity of the fluid itself, which must be positive by the second law of thermodynamics, the eddy viscosity can be negative.
=== 1980–2009: Expansion globally === As the Japanese economy worsened in the 1980s, Ajinomoto sought to outsource more of its production overseas, which increased the number of employees the company employed overseas from 4,000 in 1979 to more than 11,000 in 1996. Starting in 1980, Ajinomoto began to refocus its diversification efforts from food products to its amino acid business. Following the US FDA's re-approval of aspartame in 1981, Ajinomoto began producing the sweetener at its Tokai factory in 1982. In 1987, Ajinomoto began researching drug development in the fields of clinical nutrition, anti-cancer drugs, infectious diseases, and cardiovascular drugs. Through this research, the company developed ELENTAL for use in clinical nutrition, LIVACT to fight liver disease, and Lentinan in collaboration with the Japanese Foundation for Cancer Research. Ajinomoto later released JINO as a cosmetic and amino acid for athletes, followed by Amino Vital, a supplement to JINO released in 1995. In 2000, Ajinomoto acquired NutraSweet and Euro-Aspartame from Monsanto. In December 1995, Ajinomoto's Philippine CEO and President Leonardo K. Ty was assassinated by two members of the communist guerrilla group Alex Boncayao Brigade. The group cited Ty's allegedly poor safety standards for one of his other companies that they claimed to have led to the deaths of several of his employees. Ty had been head of Union Ajinomoto Inc. with his brother Alejandro since the late 1960s, and prior to his death, Ty had been seeking the protection of the National Bureau of Investigation.
=== 1970s === 1971: introduces the original Millex syringe filter—the first disposable syringe filter 1972: opens subsidiary in Spain 1972: opens a manufacturing plant in Jaffrey, New Hampshire. 1973: starts manufacturing in Molsheim, France 1973: introduces the Milli-Q water purification system, the first lab-scale ultrapure water system 1978: reaches $100 million revenue 1978: opens manufacturing plant in Danvers, Massachusetts 1979: acquires Waters Associates Inc., a producer of chromatographic media and High-performance liquid chromatography instrumentation
== Chemistry and mechanism of action == DOTA-TATE is a compound containing tyrosine3-octreotate, an SSR agonist, and the bifunctional chelator DOTA (tetraxetan). SSRs are found with high density in numerous malignancies, including CNS, breast, lung, and lymphatics. The role of SSR agonists (i.e. somatostatin and its analogs such as octreotide, somatuline and vapreotide) in neuroendocrine tumours (NETs) is well established, and massive SSR overexpression is present in several NETs. (Tyr3)-octreotate binds the transmembrane receptors of NETs with highest activity for SSR2 and is actively transported into the cell via endocytosis, allowing trapping of the radioactivity and increasing the probability of the desired double-strand DNA breakage (for tumour control). Trapping improves the probability of this kind of effect due to the relatively short range of the beta particles emitted by 177Lu, which have a maximum range in tissue of <2 mm. Bystander effects include cellular damage by free radical formation.
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.
Lyophilization removes water by sublimation from a frozen material, while evaporation changes liquid water into vapor. The low-pressure freezing step avoids the liquid phase and can preserve heat-sensitive structures.