An Implementation of The Method of Moments on Chemical Systems with Constant and Time-dependent Rates

Among numerical techniques used to facilitate the analysis of biochemical reactions, we can use method moments directly approximate statistics such as mean numbers molecules. The is computationally viable in time and memory, compared solving chemical master equation (CME) which notoriously expensive. In this study, apply a system with constant rate representing vascular endothelial growth factor (VEGF) model, well another time-dependent propensities susceptible, infected, recovered (SIR) model periodic contact rate. We assess accuracy using comparisons approximations obtained by stochastic simulation algorithm (SSA) Langevin (CLE). VEGF interest because role cancer other inflammatory diseases potential anti-VEGF therapies treatment cancer. SIR popular epidemiological studying spread various infectious population.