On Modelling of Genetic Regulatory Net Works
Felix Sadyrbaev, Inna Samuilik, Valentin Sengileyev
Abstract
We consider mathematical model of genetic regulatory networks (GRN). This model consists of a nonlinear system of ordinary differential equations. The vector of solutions X(t) is interpreted as a current state of a network for a given value of time t: Evolution of a network and future states depend heavily on attractors of system of ODE. We discuss this issue for low dimensional networks and show how the results can be applied for the study of large size networks. Examples and visualizations are provided
Topics & Concepts
OdeOrdinary differential equationGenetic networkGene regulatory networkAttractorNonlinear systemComputer scienceState (computer science)Net (polyhedron)Value (mathematics)Differential equationApplied mathematicsMathematicsAlgorithmPhysicsBiologyMathematical analysisMachine learningGeneticsGeneQuantum mechanicsGene expressionGeometryGene Regulatory Network AnalysisEvolution and Genetic DynamicsMicrobial Metabolic Engineering and Bioproduction