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- System_size_expansion abstract "The system size expansion, also known as van Kampen's expansion or the Ω-expansion, is a technique pioneered by van Kampen used in the analysis of stochastic processes. Specifically, it allows one to find an approximation to the solution of a master equation with nonlinear transition rates. The leading order term of the expansion is given by the linear noise approximation, in which the master equation is approximated by a Fokker–Planck equation with linear coefficients determined by the transition rates and stoichiometry of the system.Less formally, it is normally straightforward to write down a mathematical description of a system where processes happen randomly (for example, radioactive atoms randomly decay in a physical system, or genes that are expressed stochastically in a cell). However, these mathematical descriptions are often too difficult to solve for the study of the systems statistics (for example, the mean and variance of the number of atoms or proteins as a function of time). The system size expansion allows one to obtain an approximate statistical description that can be solved much more easily than the master equation.".
- System_size_expansion wikiPageID "29803312".
- System_size_expansion wikiPageRevisionID "604877221".
- System_size_expansion hasPhotoCollection System_size_expansion.
- System_size_expansion subject Category:Applied_mathematics.
- System_size_expansion subject Category:Articles_created_via_the_Article_Wizard.
- System_size_expansion subject Category:Chemical_kinetics.
- System_size_expansion subject Category:Concepts_in_physics.
- System_size_expansion subject Category:Stochastic_processes.
- System_size_expansion subject Category:Stoichiometry.
- System_size_expansion type Abstraction100002137.
- System_size_expansion type Cognition100023271.
- System_size_expansion type Concept105835747.
- System_size_expansion type Content105809192.
- System_size_expansion type Hypothesis105888929.
- System_size_expansion type Idea105833840.
- System_size_expansion type Model105890249.
- System_size_expansion type PsychologicalFeature100023100.
- System_size_expansion type StochasticProcess113561896.
- System_size_expansion type StochasticProcesses.
- System_size_expansion comment "The system size expansion, also known as van Kampen's expansion or the Ω-expansion, is a technique pioneered by van Kampen used in the analysis of stochastic processes. Specifically, it allows one to find an approximation to the solution of a master equation with nonlinear transition rates.".
- System_size_expansion label "System size expansion".
- System_size_expansion sameAs m.0g5qk8_.
- System_size_expansion sameAs Q7663749.
- System_size_expansion sameAs Q7663749.
- System_size_expansion sameAs System_size_expansion.
- System_size_expansion wasDerivedFrom System_size_expansion?oldid=604877221.
- System_size_expansion isPrimaryTopicOf System_size_expansion.