Analytical And Numerical Approximation of Effective Diffusivities in The Cytoplasm of Biological Cells
2007 (English)Report (Other academic)
The simulation of the metabolism in mammalian cells becomes a severe problem if spatial distributions must be taken into account. Especially the cytoplsma has a very complex geometric structure which cannot be handled by standard discretization techniques. In the present paper we propose a homogenization technique for computing effective diffusion constants. This is accomplished by using a two-step strategy. The first step consists of an analytic homogenization from the smallest to an intermediate scale. The homogenization error is estimated by comparing the analytic diffusion constant with a numerical estimate obtained by using real cell geometries. The second step consists of a random homogenization. Since no analytical solution is known to this homogenization problem, a numerical approximation algorithm is proposed. Although rather expensive this algorithm provides a reasonable estimate of the homogenized diffusion constant.
Place, publisher, year, edition, pages
KTH Royal Institute of Technology , 2007. , 21 p.
Trita-NA, ISSN 0348-2952 ; 2007:4
IdentifiersURN: urn:nbn:se:kth:diva-48496OAI: oai:DiVA.org:kth-48496DiVA: diva2:457760
QC 201111222011-11-222011-11-192011-11-22Bibliographically approved