Baza Publikacji Pracowników Politechniki Lubelskiej

Status:
Autorzy:	Bobrowski Adam, Kaźmierczak Bogdan, Kunze Markus
Dyscypliny:
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Rok wydania:	2017
Wersja dokumentu:	Drukowana \| Elektroniczna
Język:	angielski
Numer czasopisma:	4
Wolumen/Tom:	27
Strony:	663 - 706
Impact Factor:	3,319
Web of Science® Times Cited:	10
Scopus® Cytowania:	10
Bazy:	Web of Science \| Scopus
Efekt badań statutowych	NIE
Materiał konferencyjny:	NIE
Publikacja OA:	NIE
Abstrakty:	angielski
	We prove an averaging principle which asserts convergence of diffusion processes on domains separated by semi-permeable membranes, when diffusion coefficients tend 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 the 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 toward the end of the paper.

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