If you have been reading about Karl Fischer titration 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 2026-04-29. Where a claim depends on a specific study, the study is described rather than over-claimed.
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.
Lyophilized products are typically stored as sealed solids in vials or syringes. Moisture ingress is a major concern because many dried cakes are hygroscopic and can lose stability when exposed to humid air. Storage temperature depends on the formulation; some products are kept refrigerated, while others are stable at room temperature. Container closure integrity and headspace moisture are often monitored. Light protection may also be required for some photosensitive materials.
Quality control for lyophilized materials includes visual inspection, residual moisture measurement, and reconstitution testing. Cake appearance can reveal process problems such as collapse, shrinkage, or meltback, although appearance alone does not prove potency. Residual moisture is commonly measured by Karl Fischer titration or by loss on drying. Reconstitution time is checked because a slow or incomplete dissolve can indicate a change in pore structure. Stability studies track these attributes over time under defined temperature and humidity conditions.
Analytical methods for lyophilized solids must account for the low moisture content and the fragile cake. Karl Fischer titration is widely used for water content, while near-infrared spectroscopy can measure moisture non-destructively in sealed containers. X-ray diffraction and modulated differential scanning calorimetry help identify crystalline or amorphous phases. Residual solvent analysis may be needed if organic solvents were used during formulation. The combination of these methods supports batch release and long-term stability assessment.
| 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. |
Lyophilization, also called freeze-drying, is a dehydration process in which a solvent, usually water, is frozen and then removed by sublimation under reduced pressure. The method preserves heat-sensitive materials that would degrade in conventional drying. Large-scale use grew during the mid-twentieth century for blood plasma and antibiotics, and it later expanded to vaccines, enzymes, foods, and advanced materials. The process produces a dry, porous solid that usually reconstitutes rapidly. It is distinct from simple evaporation because the solvent bypasses the liquid phase during primary removal.
The process generally proceeds in three stages: freezing, primary drying, and secondary drying. During freezing, controlled cooling converts water into ice and may also crystallize or vitrify solutes. In primary drying, the pressure is lowered below the triple point, and heat is supplied so ice sublimes directly to vapor. Secondary drying removes water that remains bound to the solid matrix, yielding a low final water content. Product temperature must stay below the collapse or glass transition temperature to maintain structure. Cycle design therefore balances shelf temperature, chamber pressure, and time.
Freeze-drying is used for materials whose activity or structure depends on low temperature and low water content. Examples include certain biologics, diagnostic reagents, starter cultures, coffee, and porous inorganic precursors. The dried product forms a cake whose porosity aids rapid wetting and dissolution. Main drawbacks are high energy use, long cycle times, and sensitivity to formulation and equipment variation. Questions remain about how freezing rates and ice morphology affect batch uniformity, especially when moving from laboratory to production scale.
After drying, a lyophilized product is usually sealed under vacuum or an inert gas to limit moisture uptake. Residual water content is measured because small changes can alter chemical stability and cake appearance. Storage temperature depends on the material; many biological products are kept at 2–8 °C, while some require −20 °C or colder. Exposure to ambient humidity during handling can cause the porous solid to absorb water and collapse. Container closures and stoppers are therefore selected for low moisture transmission and compatibility.
Quality control for lyophilized materials includes visual inspection of the cake, measurement of residual moisture, and tests for reconstitution time. An acceptable cake is typically uniform and may be slightly porous; shrinkage, meltback, or cracks can indicate process deviations. Analytical methods such as Karl Fischer titration, thermogravimetric analysis, and near-infrared spectroscopy quantify water content. Reconstitution time is recorded because a very slow or incomplete dissolution can signal collapse or aggregation. Stability studies compare samples stored under defined temperature and humidity conditions over months or years.
=== Leaders of the Liberal Party === H. H. Asquith, 1st Earl of Oxford and Asquith, 1925 (1916–1926) Donald Maclean, Acting Leader (1919–1920) David Lloyd George (1926–1931) Sir Herbert Samuel (1931–1935) Sir Archibald Sinclair (1935–1945) Clement Davies (1945–1956) Jo Grimond (1956–1967) Jeremy Thorpe (1967–1976) Jo Grimond, Interim Leader (1976) David Steel (1976–1988)
This anonymity and lack of conversation between the doctor and woman patient led to the inquiry diagnosis of the Four Diagnostic Methods being the most challenging. Doctors used a medical doll known as a Doctor's lady, on which female patients could indicate the location of their symptoms. Cheng Maoxian (b. 1581), who practiced medicine in Yangzhou, described the difficulties doctors had with the norm of female modesty. One of his case studies was that of Fan Jisuo's teenage daughter, who could not be diagnosed because she was unwilling to speak about her symptoms, since the illness involved discharge from her intimate areas. As Cheng describes, there were four standard methods of diagnosis – looking, asking, listening and smelling and touching (for pulse-taking). To maintain some form of modesty, women would often stay hidden behind curtains and screens. The doctor was allowed to touch enough of her body to complete his examination, often just the pulse taking. This would lead to situations where the symptoms and the doctor's diagnosis did not agree and the doctor would have to ask to view more of the patient. These social and cultural beliefs were often barriers to learning more about female health. Women were often uncomfortable talking about their illnesses, especially in front of the male chaperones that attended medical examinations. Women would choose to omit certain symptoms as a means of upholding their chastity and honor. One such example is the case in which a teenage girl was unable to be diagnosed because she failed to mention her symptom of vaginal discharge.
Hankinson's equation (also called Hankinson's formula or Hankinson's criterion) is a mathematical relationship for predicting the off-axis uniaxial compressive strength of wood. The formula can also be used to compute the fiber stress or the stress wave velocity at the elastic limit as a function of grain angle in wood. For a wood that has uniaxial compressive strengths of
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This article incorporates text from a free content work. Licensed under CC BY-SA IGO 3.0 (license statement/permission). Text taken from World Food and Agriculture – Statistical Yearbook 2023, FAO, FAO.
== External links == The Macromolecular Structure Database (MSD) at the European Bioinformatics Institute (EBI) – Serves a list of the Probable Quaternary Structure (PQS) for every protein in the Protein Data Bank (PDB). PQS server – PQS has not been updated since August 2009 PISA – The Protein Interfaces, Surfaces and Assemblies server at the MSD. EPPIC – Evolutionary Protein–Protein Interface Classification: evolutionary assessment of interfaces in crystal structures 3D complex[link removed] – Structural classification of protein complexes Proteopedia – Proteopedia Home Page The collaborative, 3D encyclopedia of proteins and other molecules. PDBWiki – PDBWiki Home Page – a website for community annotation of PDB structures. ProtCID – ProtCID—a database of similar protein–protein interfaces in crystal structures of homologous proteins.
, the first step is to linearise around the disease-free equilibrium (DFE), but for the infected subsystem of non-linear ODEs which describe the production of new infections and changes in state among infected individuals. Epidemiologically, the linearisation reflects that
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=== Parasitic infections === HLA-G has been shown to modulate the body's response to parasitic diseases. Recent studies have emerged suggesting a link between HLA-G and Plasmodium falciparum, which is one of the most dangerous malaria species. In pregnant women, P. falciparum can infect the placenta, causing low birth weights and other complications. High levels of soluble HLA-G have been linked to higher instances of low birth weights. There is also a link between HLA-G expression and human African trypanosomiasis (HAT). People with higher levels of soluble HLA-G are more likely to be diagnosed with the disease. There may also be genetic differences driving the instance and severity of HAT, as a few single-nucleotide polymorphisms have been associated with higher levels of HAT. There is also an effect in toxoplasmosis infections in pregnant women, where HLA-G is upregulated to protect the fetus from inflammation. Treatment of cells with IL-10 leads to a downregulation of HLA-G, which could be an avenue for therapy in instances where too much HLA-G is produced. Individuals with visceral leishmaniasis infections also have higher levels of soluble HLA-G, which may be due to a strategy by Leishmania to evade the immune system.
=== Preparation of acyl cyanides === Acyl cyanides (α-oxonitriles) can in certain cases be prepared by reacting carboxylic acid halides with transition metal cyanides (e.g., copper cyanide or silver cyanide). This approach is particularly effective for aromatic carboxylic acid halides and aliphatic acyl bromides, whereas aliphatic acyl chlorides are unreactive. Aliphatic acyl cyanides can instead be synthesized by reacting carboxylic acid chlorides with trimethylsilyl cyanide.
=== Former faculty === Persons who had left the faculty through death, retirement, termination, or by accepting an offer somewhere else. Former members of the faculty are listed by divisions. Alumnus degrees are depicted in italic type.
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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.
Most lyophilized products are stored in sealed containers at controlled temperature and humidity. Some require refrigeration, while others are stable at room temperature. Protection from light and moisture is often necessary.