A method for analysis of simultaneous equations in cell models

Some models of cellular physiological functions are formulated as ordinary differential equations that contain multiple systems of simultaneous nonlinear equations. Simulation of such a model described in a declarative representation format requires determination of equations to be simultaneously solved with specification of independent and parameter variables in the model. In this report, a method for extracting systems of simultaneous equations in a cell model is presented. The present method analyzes a graph representation of a model and extracts the subgraphs that represent equation systems to be simultaneously solved, by efficiently interactive selection of independent variables of the model.