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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:37 |
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Conference: Bucharest University Faculty of Physics 2018 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Asymptotic analysis of a carcinogenesis model
Authors:
Claudia TIMOFTE
Affiliation:
University of Bucharest, Faculty of Physics, P. O. Box MG-11, Bucharest-Magurele, Romania
E-mail
claudia.timofte@g.unibuc.ro
Keywords:
homogenization, reaction-diffusion equations, carcinogenesis
Abstract:
Our goal is to investigate, by using homogenization techniques, the macroscopic behavior of a coupled system of nonlinear reaction-diffusion equations arising in the modeling of some biochemical processes involved in the carcinogenesis in human cells. Our analysis extends some of the results obtained in [1] and [2].
References:
[1] I. Graf and M. A. Peter, Diffusion on surfaces and the boundary periodic unfolding operator with an application to carcinogenesis in human cells, SIAM J. Math. Anal. 46, 3025-3049, 2014.
[2] C. Timofte, Multiscale analysis of a carcinogenesis model, Math. Comput. Simulat. 133, 298–310, 2017.
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