Shekar-Accepted-10.03.20.pdf (4.89 MB)
Multiscale analysis and simulation of a signalling process with surface diffusion
journal contribution
posted on 2023-06-09, 20:50 authored by Mariya Ptashnyk, Chandrasekhar VenkataramanChandrasekhar VenkataramanWe present and analyze a model for cell signaling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces and both inter- and intracellular signaling. Using techniques from the theory of two-scale convergence as well the unfolding method, we show convergence of the solutions to the model to solutions of a two-scale macroscopic problem. We also present a two-scale bulk-surface finite element method for the approximation of the macroscopic model. We report on some benchmarking results as well as numerical simulations in a biologically relevant regime that illustrate the influence of cell-scale heterogeneities on macroscopic concentrations.
History
Publication status
- Published
File Version
- Accepted version
Journal
Multiscale Modeling and Simulation: A SIAM Interdisciplinary JournalISSN
1540-3459Publisher
Society for Industrial and Applied MathematicsExternal DOI
Issue
2Volume
18Page range
851-886Pages
36.0Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2020-03-12First Open Access (FOA) Date
2020-03-12First Compliant Deposit (FCD) Date
2020-03-11Usage metrics
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