Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth.

ABSTRACT: The development of hybrid methodologies is of current interest in both multi-scale modelling and stochastic reaction-diffusion systems regarding their applications to biology. We formulate a hybrid method for stochastic multi-scale models of cells populations that extends the remit of existing hybrid methods for reaction-diffusion systems. Such method is developed for a stochastic multi-scale model of tumour growth, i.e. population-dynamical models which account for the effects of intrinsic noise affecting both the number of cells and the intracellular dynamics. In order to formulate this method, we develop a coarse-grained approximation for both the full stochastic model and its mean-field limit. Such approximation involves averaging out the age-structure (which accounts for the multi-sca

SUBMITTER: de la Cruz R 

PROVIDER: S-EPMC5656096 | biostudies-literature | 2017 Dec

REPOSITORIES: biostudies-literature