The pseudo-compartment method for coupling partial differential equation and compartment-based models of diffusion.

ABSTRACT: Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature implements systems of partial differential equations (PDEs), which assumes there are sufficient densities of particles that a continuum approximation is valid. However, owing to recent advances in computational power, the simulation and therefore postulation, of computationally intensive individual-based models has become a popular way to investigate the effects of noise in reaction-diffusion systems in which regions of low copy numbers exist. The specific stochastic models with which we shall be concerned in this manuscript are referred to as 'compartment-based' or 'on-lattice'. These models are characterized by a d

SUBMITTER: Yates CA 

PROVIDER: S-EPMC4424691 | biostudies-literature | 2015 May

REPOSITORIES: biostudies-literature