This is a working overview of cake, written for readers who want more than a one-paragraph summary but less than a textbook.
This page was last updated on 2025-09-14 and is reviewed periodically as new material appears.
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.
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.
Secondary drying removes bound water that remains after ice sublimation. Shelf temperature is raised gradually while pressure remains low, reducing water content to a target range. Over-drying can cause brittleness or electrostatic issues, while under-drying affects stability. The endpoint is often judged by pressure rise tests, temperature measurements, or water content analysis. Scale-up depends on matching heat and mass transfer across equipment sizes. Small changes in shelf temperature or pressure can alter cycle length substantially.
Lyophilization, or freeze-drying, removes water from a material by freezing it and then lowering pressure so ice changes directly to vapor. The process relies on sublimation, the phase transition from solid to gas without an intervening liquid state. It is used for heat-sensitive materials that would degrade in conventional drying. The three stages are freezing, primary drying, and secondary drying, each with distinct temperature and pressure requirements. In practice, cycle design balances these variables.
| Property | Value | Notes |
|---|---|---|
| Common name | Freeze-drying | Lyophilization is the technical synonym. |
| Typical chamber pressure | 0.01–0.1 mbar | Below the triple point of water. |
| Primary drying temperature | −40 to −10 °C | Depends on formulation and equipment. |
| Residual moisture | 1–5% | Target for many pharmaceutical products. |
| Typical equipment | Vacuum freeze-dryer | Includes drying chamber and condenser. |
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.
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 is a dehydration process that removes water from a frozen material by sublimation under low pressure. The material is first frozen so that water becomes ice; then the surrounding pressure is lowered below the vapor pressure of ice. Heat is applied gently so ice changes directly to vapor without passing through a bulk liquid phase. The vapor is collected on a cold condenser, leaving a dry porous matrix. This process differs from simple evaporation because the material remains frozen during the main drying stage.
The process usually has three stages: freezing, primary drying, and secondary drying. Freezing sets the ice crystal structure and can determine pore size in the final cake. Primary drying removes free ice by sublimation at low pressure and low shelf temperature. Secondary drying removes bound water by raising the shelf temperature, although some water may remain as part of the solid. Cycle parameters depend on formulation, fill volume, vial type, and equipment performance.
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.
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.
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.
=== Populations === Lp(a) concentrations can vary by more than one thousand between individuals, from <0.2 to >200 mg/dL. Scientists have found that this range of concentrations has been observed in all populations studied. The mean and median concentrations differ among world populations. Most prominently, there is a two to threefold higher mean Lp(a) plasma concentration in populations of African descent compared to Asian, Oceanic, or European populations. The general inverse correlation between apo(a) isoform size and Lp(a) plasma concentration is observed in all populations. However, it was also discovered that mean Lp(a) associated with certain apo(a) isoforms varies between populations. In addition to size effects, mutations in the LPA promoter may lead to a decreased apo(a) production. The Atherosclerosis Risk in Communities (ARIC) Study is a community-based cohort from 4 geographically diverse US communities. The ARIC Study found that the proportion of Atherosclerotic Cardiovascular Disease cases potentially attributable to elevated Lp(a) was 10.2% among Black adults compared with 4.7% among white adults. The population-attributable fraction ratio for Black adults compared with white adults was 2.30. Because the hazard ratios for ASCVD associated with higher Lp(a) did not significantly differ between races, the ARIC study concluded that these differences appeared to be driven largely by racial differences in the distribution of Lp(a) levels.
== Isotope ratio measurement == The relative abundances of different isotopes are then used to describe the chemical fractionation of different isotopes, travel in different reservoirs of non-radiogenic isotopes, and age or origins of solar system objects by the presence of radiogenic daughter isotopes. Elemental analysis is a predominant application of TIMS as it gives reliable isotopic ratios. Following the trend of decreasing ionization energy, elements located towards the bottom left of the periodic table are viable for TIMS. In addition, the high electron affinity seen towards the upper right of the periodic table makes these nonmetals excellent candidates. The technique is used extensively in isotope geochemistry, geochronology, and in cosmochemistry. Quantitative isotope ratio techniques include isotope dilution thermal ionization mass spectrometry (ID-TIMS) and chemical abrasion thermal ionization mass spectrometry (CA-TIMS). Isotope dilution method is used because the signal intensity in TIMS isn't proportional to the amount that is placed into TIMS. For age dating, mass spectrometers with magnetic sectors have better precision than a quadrupole mass spectrometer or quadrupole mass analyzer. Inductively coupled plasma-quadrupole mass spectrometers allows for an even higher precision of detecting the change of isotopic ratios by radioactive decay. The more precision means the higher resolution in age dating.
Formation of a metabolic-intermediate complex (MIC) that coordinates tightly to the heme group. Strong ligation of unmodified ritonavir directly to the heme iron. Heme destruction followed by the formation of a heme-protein adduct. Covalent attachment of a reactive ritonavir intermediate directly to the CYP3A4 apoprotein, specifically at the Lysine-257 (Lys257) residue. Current evidence suggests ritonavir likely exerts its potent inhibitory effects through a mixed mechanism involving several of these pathways simultaneously. In addition to CYP3A4 inhibition, ritonavir induces the expression of several other enzymes (including CYP1A2, CYP2B6, CYP2C9, and CYP2C19) via the activation of the pregnane X receptor (PXR). It also acts as an inhibitor of key drug transporters, including P-glycoprotein (P-gp), Breast Cancer Resistance Protein (BCRP), and Organic Anion-Transporting Polypeptides (OATP1B1, OATP1B3, and OATP2B1).
== Sources and composition == Silk is not a single substance but a family of fibrous proteins spun by several different animals, and the silks used as biomaterials differ both in their origin and in the proteins they contain.
Thomas Powers, "The Nuclear Worrier" (review of Daniel Ellsberg, The Doomsday Machine: Confessions of a Nuclear War Planner, New York, Bloomsbury, 2017, ISBN 9781608196708, 420 pp.), The New York Review of Books, vol. LXV, no. 1 (18 January 2018), pp. 13–15. "Presidency in the Nuclear Age", conference and forum at the JFK Library, Boston, October 12, 2009. Four panels: "The Race to Build the Bomb and the Decision to Use It", "Cuban Missile Crisis and the First Nuclear Test Ban Treaty", "The Cold War and the Nuclear Arms Race", and "Nuclear Weapons, Terrorism, and the Presidency". Tom Stevenson, "A Tiny Sun" (review of Fred Kaplan, The Bomb: Presidents, Generals, and the Secret History of Nuclear War, Simon and Schuster, 2021, 384 pp.; and Keir A. Lieber and Daryl G. Press, The Myth of the Nuclear Revolution: Power Politics in the Atomic Age, Cornell, 2020, 180 pp.), London Review of Books, vol. 44, no. 4 (24 February 2022), pp. 29–32. "Nuclear strategists systematically underestimate the chances of nuclear accident... [T]here have been too many close calls for accidental use to be discounted." (p. 32.) Jacobsen, Annie (2024). Nuclear War: A Scenario. Hypothetical minute-by-minute examination of how a nuclear first strike could escalate to global thermonuclear war within 72 minutes, based on interviews with military officials and declassified documents. Lee Billings, "The Quest for a Theory of Everything: A Breakthrough Prize winner warns nuclear war could prevent reaching the holy grail of physics", Scientific American, vol. 335, no. 2 (September 2026), pp. 90–93.
Sources: en.wikipedia.org
While most early submarines used a direct mechanical connection between the combustion engine and the propeller, an alternative solution was considered as well as implemented at a very early stage. That solution consists in first converting the work of the combustion engine into electric energy via a dedicated generator. This energy is then used to drive the propeller via the electric motor and, to the extent required, for charging the batteries. In this configuration, the electric motor is thus responsible for driving the propeller at all times, regardless of whether air is available so that the combustion engine can also be used or not. Among the pioneers of this alternative solution was the very first submarine of the Swedish Navy, HSwMS Hajen (later renamed Ub no 1), launched in 1904. While its design was generally inspired by the first submarine commissioned by the US Navy, USS Holland, it deviated from the latter in at least three significant ways: by adding a periscope, by replacing the gasoline engine by a semidiesel engine (a hot-bulb engine primarily meant to be fueled by kerosene, later replaced by a true diesel engine) and by severing the mechanical link between the combustion engine and the propeller by instead letting the former drive a dedicated generator. By so doing, it took three significant steps toward what was eventually to become the dominant technology for conventional (i.e., non-nuclear) submarines.
== Background == Atomic nuclei consist of protons and neutrons, which attract each other through the nuclear force, while protons repel each other via the electric force due to their positive charge. These two forces compete, leading to some combinations of neutrons and protons being more stable than others. Neutrons stabilize the nucleus, because they attract protons, which helps offset the electrical repulsion between protons. As a result, as the number of protons increases, an increasing ratio of neutrons to protons is needed to form a stable nucleus; if too many or too few neutrons are present with regard to the optimum ratio, the nucleus becomes unstable and subject to certain types of nuclear decay. Unstable isotopes decay through various radioactive decay pathways, most commonly alpha decay or beta decay, but rarer types of decay including spontaneous fission and cluster decay are known. Of the first 82 elements in the periodic table, 80 have isotopes considered to be stable. The 83rd element, bismuth, was traditionally regarded as having the heaviest stable isotope, bismuth-209, but in 2003 researchers in Orsay, France, measured the decay of 209Bi; the currently accepted half-life is 2.01×1019 years. Technetium and promethium (atomic numbers 43 and 61, respectively) and all the elements with an atomic number over 82 only have isotopes that are known to undergo radioactive decay. No undiscovered elements are expected to be stable; therefore, lead is considered the heaviest stable element.
== Hfe knockout mice == It is possible to delete part or all of a gene of interest in mice (or other experimental animals), as a means of studying the function of the gene and its protein. Such mice are called "knockouts" with respect to the deleted gene. Hfe is the mouse equivalent of the human hemochromatosis gene HFE. The protein encoded by HFE is Hfe. Mice homozygous (two abnormal gene copies) for a targeted knockout of all six transcribed Hfe exons are designated Hfe−/−. Iron-related traits of Hfe−/− mice, including increased iron absorption and hepatic iron loading, are inherited in an autosomal recessive pattern. Thus, the Hfe−/− mouse model simulates important genetic and physiological abnormalities of HFE hemochromatosis. Other knockout mice were created to delete the second and third HFE exons (corresponding to α1 and α2 domains of Hfe). Mice homozygous for this deletion also had increased duodenal iron absorption, elevated plasma iron and transferrin saturation levels, and iron overload, mainly in hepatocytes. Mice have also been created that are homozygous for a missense mutation in Hfe (C282Y). These mice correspond to humans with hemochromatosis who are homozygous for HFE C282Y. These mice develop iron loading that is less severe than that of Hfe−/− mice.
=== Aircraft fuel crisis and collapse in tourism === On 9 February, Cuba stated that it would not refuel other planes at airports due to a lack of fuel. Air Canada suspended flights to the country on the same day, while Rossiya and Nordwind did so two days later, all citing ongoing fuel shortages in the island as a reason. The number of foreign travellers to Cuba has plummeted by approximately 58% as of 17 June, due to the cancellation of international flights from major destinations like Canada, whose citizens represented by far the largest contingent foreign travellers to the island.
Sources: en.wikipedia.org
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.
A vacuum lowers the pressure below the triple point of water, allowing ice to sublimate directly into vapor without melting. It also removes water vapor from the product chamber and speeds up the drying process. Without vacuum, the ice would melt rather than sublimate.
Not all substances are suitable for lyophilization. Materials must form a stable frozen matrix and tolerate freezing and low pressure. Some small molecules, oils, or volatile compounds may not form a proper cake or may be lost during processing.
Conventional drying uses heat to evaporate liquid water, often at temperatures that can degrade sensitive materials. Lyophilization freezes the material first and then removes water by sublimation under vacuum. This avoids prolonged exposure to liquid water and high heat.