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math.NA2025
Mathematical Modelling of Mechanotransduction via RhoA Signalling Pathways
Sofie Verhees, Chandrasekhar Venkataraman, Mariya Ptashnyk
We derive and simulate a mathematical model for mechanotransduction related to the Rho GTPase signalling pathway. The model addresses the bidirectional coupling between signalling…
math.NA2024
Fast numerical solvers for parameter identification problems in mathematical biology
Karolína Benková, John W. Pearson, Mariya Ptashnyk
In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models for pattern evolution within biological proce…