SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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Towards multiscale modelling in neuroscience: Experiences with coupling cellular and subcellular levels of neuronal organisation

M. Hanke, M. Brandi, E. Brocke and M. The

The nervous system encompasses structure and phenomena at different spatial and temporal scales from molecule to behavior. For example, the dynamics of second messenger pathways can be formulated as stochastic reaction-diffusion systems while the electrical dynamics of the neuronal membrane is often described by compartment models and the Hodgkin-Huxley formalism. While there are a few simulators available which aim at bridging this gap, most readily available packages are designed for a given domain. In the present talk we report about our experiences with coupled systems both in matlab reference implementations and in coupling established software packages (MOOSE and NeuroRD). We analyse the properties of the underlying numerical methods for solving ordinary and stochastic differential equations and propose new methods for their enhancement. We acknowledge the support of our collaborators Uphinder S Bhalla, Mikael Djurfeldt, Jeanette Hellgren-Kotaleski.

Organized by         Universidad de Valladolid     IMUVA