Well-posedness of a coupled PDE-ODE model of stem cell lineage involving homeostatic regulation

DOI10.1016/j.rinam.2020.100135zbMath1467.92032OpenAlexW3113057308MaRDI QIDQ2040573

Naim Bajcinca, Iqra Batool

Publication date: 14 July 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2020.100135

zbMATH Keywords

fixed pointwell-posednessBanach fixed point theoremcontraction mapping

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Pathology, pathophysiology (92C32)

Cites Work

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• The contribution of age structure to cell population responses to targeted therapeutics
• A multicompartment mathematical model of cancer stem cell-driven tumor growth dynamics
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• A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia
• A Maturity-Structured Mathematical Model of Mutation, Acquisition in the Absence of Homeostatic Regulation
• A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells
• Local well-posedness of a class of hyperbolic PDE–ODE systems on a bounded interval

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