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math.AP2021★ 1 cited
Global existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion
Gurusamy Arumugam, Asha K. Dond, André H. Erhardt
We study the following Keller-Segel chemotaxis system with logistic source and nonlinear secretion: \begin{align*} u_t=Δu- \nabla\cdot(u\nabla v)+κ(|x|)u-μ(|x|)u^p\quad\text{and}\q…
math.DS2021
Analysis and simulation of a modified cardiac cell model givesaccurate predictions of the dynamics of the original one
André H. Erhardt, Susanne Solem
The 19-dimensional TP06 cardiac muscle cell model is reduced to a 17-dimensional version, which satisfies the required conditions for performing an analysis of its dynamics by mean…