Linear epitopes
(noun)
These consist of the primary amino acid structure of a protein that makes up the larger antigen.
Examples of Linear epitopes in the following topics:
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Antigenic Determinants and Processing Pathways
- Most epitopes are conformational.
- Linear epitopes interact with the paratope based on their primary structure (shape of the protein's components).
- A linear epitope is formed by a continuous sequence of amino acids from the antigen, which creates a "line" of sorts that builds the protein structure.
- Antigenic determinants recognized by B cells and the antibodies secreted by B cells can be either conformational or linear epitopes.
- Antigenic determinants recognized by T cells are typically linear epitopes.
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Immune Complex Autoimmune Reactions
- An immune complex is formed from the integral binding of an antibody to a soluble antigen and can function as an epitope.
- The bound antigen acting as a specific epitope, bound to an antibody is referred to as a singular immune complex .
- The bound antigen acting as a specific epitope, bound to an antibody is referred to as a singular immune complex.
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Linear Equations
- A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable.
- A common form of a linear equation in the two variables $x$ and $y$ is:
- The origin of the name "linear" comes from the fact that the set of solutions of such an equation forms a straight line in the plane.
- Linear differential equations are differential equations that have solutions which can be added together to form other solutions.
- Linear differential equations are of the form:
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Making Memory B Cells
- To understand the events taking place, it is important to appreciate that the antibody molecules present on a clone (a group of genetically identical cells) of B cells have a unique paratope (the sequence of amino acids that binds to the epitope on an antigen).
- Some of the resulting paratopes (and the cells elaborating them) have a better affinity for the antigen (actually, the epitope) and are more likely to proliferate than the others.
- The part of the antigen to which the paratope binds is called an epitope.
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Monoclonal Antibodies
- Monoclonal antibodies are monospecific antibodies that recognize one specific epitope on a pathogen.
- Monoclonal antibodies have monovalent affinity in that they bind to the same epitope.
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Linear Approximation
- A linear approximation is an approximation of a general function using a linear function.
- In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function).
- Linear approximations are widely used to solve (or approximate solutions to) equations.
- Linear approximation is achieved by using Taylor's theorem to approximate the value of a function at a point.
- If one were to take an infinitesimally small step size for $a$, the linear approximation would exactly match the function.
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Extracellular Immune Avoidance
- Other pathogens invade the body by changing the non-essential epitopes on their surface rapidly while keeping the essential epitopes hidden.
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Enzyme-Linked Immunosorbent Assay (ELISA)
- The sandwich assay uses two different antibodies that are reactive with different epitopes on the antigen with a concentration that needs to be determined.
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Nonhomogeneous Linear Equations
- In the previous atom, we learned that a second-order linear differential equation has the form:
- When $f(t)=0$, the equations are called homogeneous second-order linear differential equations.
- However, there is a very important property of the linear differential equation, which can be useful in finding solutions.
- Phenomena such as heat transfer can be described using nonhomogeneous second-order linear differential equations.
- Identify when a second-order linear differential equation can be solved analytically
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Linear and Quadratic Functions
- Linear and quadratic functions make lines and parabola, respectively, when graphed.
- In calculus and algebra, the term linear function refers to a function that satisfies the following two linearity properties:
- Linear functions may be confused with affine functions.
- Although affine functions make lines when graphed, they do not satisfy the properties of linearity.
- Linear functions form the basis of linear algebra.