An averaging principle for fast diffusions in domains separated by semi-permeable membranes

dc.contributor.authorBobrowski, Adam
dc.contributor.authorKazmierczak, Bogdan
dc.contributor.authorKunze, Markus
dc.date.accessioned2016-03-24T14:30:39Z
dc.date.available2016-03-24T14:30:39Z
dc.date.issued2016eng
dc.description.abstractWe prove an averaging principle which asserts convergence of diffusions on domains separated by semi-permeable membranes, when the speed of diffusion tends to infinity while the flux through the membranes remains constant. In the limit, points in each domain are lumped into a single state of a limit Markov chain. The limit chain's intensities are proportional to membranes' permeability and inversely proportional to the domains' sizes. Analytically, the limit is an example of a singular perturbation in which boundary and transmission conditions play a crucial role. This averaging principle is strongly motivated by recent signaling pathways models of mathematical biology, which are discussed in the final section of the paper.eng
dc.description.versionpublishedeng
dc.identifier.ppn462793575
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/33472.1
dc.language.isoengeng
dc.relation.ispartofseriesKonstanzer Schriften in Mathematikeng
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectConvergence of sectorial forms and of semigroups of operators, diffusion processes, boundary and transmission conditions, Freidlin–Wentzell averaging princi- ple, singular perturbations, signaling pathways, kinase activity, intracellular calcium dynamics, neurotransmitters.eng
dc.subject.ddc510eng
dc.subject.msc47A07, 47D07, 60J70, 92C45
dc.titleAn averaging principle for fast diffusions in domains separated by semi-permeable membraneseng
dc.typeWORKINGPAPEReng
dspace.entity.typePublication
kops.bibliographicInfo.seriesNumber351eng
kops.description.openAccessopenaccessgreen
kops.flag.knbibliographytrue
kops.identifier.nbnurn:nbn:de:bsz:352-0-324467
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