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Why Biological Systems Suddenly Change State: An Intuitive Guide to Freidlin–Wentzell Theory

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  Stochasticity is ubiquitous in biology and neuroscience, manifesting in various forms, including ion channel noise, synaptic variability, gene regulatory fluctuations, noisy population dynamics, and more. Many biological systems spend long periods in a stable “state” and only rarely transition to another state due to noise. For instance, a neuron typically remains inactive but may occasionally trigger a spontaneous spike. Similarly, a gene can switch from the OFF state to the ON state due to rare bursts of transcription factors. Cells can also transition out of metabolic or epigenetic states, populations might shift between different ecological equilibria, and a viral infection can fluctuate between phases of control and uncontrollability. Freidlin–Wentzell theory provides a mathematically rigorous framework to study these phenomena when noise is small but nonzero . It tells you, firstly, h ow likely rare transitions are,    secondly,   h ow fast they occ...

A Standardized Microneutralization Assay for RSV Subtypes A and B: A Tool for Diagnosis and Vaccine Development

Respiratory Syncytial Virus (RSV) is a common, contagious virus that causes infections of the respiratory tract. It is a negative-sense, single-stranded RNA virus that belongs to the genus Orthopneumovirus, subfamily Pneumovirinae, and family Paramyxvoviridae. It consists of two major antigenic subgroups, RSV/A and RSV/B viruses, which have multiple genotypes with high diversity in the attachment (G) glycoprotein. RSV is the single most common cause of respiratory hospitalization in infants, and can also cause severe illness in older adults, people with heart and lung disease, or anyone with a weak immune system. The diagnosis of RSV infection can be done by detecting viral antigens, nucleic acids, or antibodies in clinical specimens. Antigen detection methods include immunofluorescence assay (IFA), enzyme immunoassay (EIA) and rapid antigen tests. Nucleic acid detection methods include reverse transcription polymerase chain reaction (RT-PCR), real-time PCR and multiplex PCR. Antibody ...

Owen's Function: A Simple Solution to Complex Problems

Definition   If you are interested in statistics or probability, you may have encountered the Owen's function , a special function that arises in various applications involving bivariate normal distributions. Let’s explain what Owen's function is, how it is defined and notated, and why it is useful.  The Owen's function is defined as follows: for any real numbers h and a, Owen's function T(h,a) is given by T ( h , a ) = 1 2 π · ∫ 0 a exp ( - h 2 2 · ( 1 ...

Serial Dilutions: A Common Technique for Biochemistry and Pharmacology

Introduction Serial dilutions are a technique used to create a series of solutions with decreasing concentrations of a substance. They are important in biochemistry and pharmacology because they allow researchers to measure the effects of different doses of a substance on biological systems.   To perform a serial dilution, one starts with a stock solution of known concentration and transfers a fixed amount of it to a new container. Then, one adds a solvent (usually water or buffer) to the new container until it reaches the desired volume. This creates a diluted solution with a lower concentration than the stock solution. The process can be repeated with the diluted solution as the starting point, creating a further diluted solution, and so on.   The concentration of each solution in a serial dilution can be calculated by using the formula C1V1 = C2V2, where C1 and C2 are the concentrations of the initial and final solutions, respectively, and V1 and V2 are their volu...

Tissue culture: a vital tool for studying viruses

Introduction   What is tissue culture and why is it important for virology?   Tissue culture is a method of growing animal cells in a laboratory setting using various media and conditions. This technique allows scientists to study the behavior, growth, and interactions of cells, as well as to isolate and identify viruses that infect them.   Virology is the branch of science that deals with viruses , which are microscopic agents that can only replicate inside living cells. Viruses can cause various diseases in humans, animals, and plants, such as influenza, AIDS, COVID-19, rabies, and polio. To understand how viruses work and how to prevent or treat viral infections, virologists need to isolate and characterize them using tissue culture methods.   One of the advantages of tissue culture for virology is that it enables the detection of viruses that are difficult or impossible to grow in other systems, such as eggs or animals. Tissue culture also allow...

Viruses: Tiny Agents of Infection and Disease

  Introduction A virus is a microscopic infectious agent that can only reproduce by infecting a living cell. A virus consists of a segment of nucleic acid, either DNA or RNA, wrapped in a protein coat called a capsid. Some viruses also have an outer membrane envelope. Viruses are much smaller than bacteria and other cells, and they can have different shapes and structures.   When a virus infects a cell, it attaches to the cell membrane and injects its genetic material into the cell. Depending on the type of virus, it may use one of two methods to replicate: the lytic cycle or the lysogenic cycle. In the lytic cycle, the virus uses the cell's machinery to make copies of its nucleic acid and protein, then assembles new virus particles and releases them by breaking the cell open. In the lysogenic cycle, the virus integrates its nucleic acid into the host cell's genome and stays dormant until it is activated by a trigger. Then it enters the lytic cycle and produces new virus...

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