Essays about: "reaction-diffusion master equation"

Found 2 essays containing the words reaction-diffusion master equation.

  1. 1. Computational Stochastic Morphogenesis

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Yakup Saygun; [2015]
    Keywords : computational morphogenesis; computational biology; biological pattern formation; stochastic simulations; stochastic Turing patterns; stochastic models; reaction-diffusion master equation; intrinsic noise; URDME; next subvolume method;

    Abstract : Self-organizing patterns arise in a variety of ways in nature, the complex patterning observed on animal coats is such an example. It is already known that the mechanisms responsible for pattern formation starts at the developmental stage of an embryo. However, the actual process determining cell fate has been, and still is, unknown. READ MORE

  2. 2. Accuracy aspects of the reaction-diffusion master equation on unstructured meshes

    University essay from Avdelningen för teknisk databehandling

    Author : Emil Kieri; [2011]
    Keywords : master equation; Gillespie algorithm; unstructured mesh; diffusion; maximum principle;

    Abstract : The reaction-diffusion master equation (RDME) is a stochastic model for spatially heterogeneous chemical systems. Stochastic models have proved to be useful for problems from molecular biology since copy numbers of participating chemical species often are small, which gives a stochastic behaviour. READ MORE