A simplified mathematical model for cell proliferation in a tissue-engineering scaffold

DOI10.1007/S11538-024-01390-1MaRDI QIDQ6655108

P. F. Joseph, Shreya Srinivasan, Sai Kunnatha, Haniyeh Fattahpour, Pejman Sanaei, Amy María Sims, Ashok Joseph, Mona James

Publication date: 20 December 2024

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

asymptotic analysismathematical modelingtissue engineering

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX)

Cites Work

• Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold
• A user's guide to PDE models for chemotaxis
• Design criteria for a printed tissue engineering construct: A mathematical homogenization approach
• On the performance of multilayered membrane filters
• Travelling-wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth
• Cyclic loading of growing tissue in a bioreactor: mathematical model and asymptotic analysis
• Micro-macro numerical modelling of bone regeneration in tissue engineering
• Effects of elasticity on cell proliferation in a tissue-engineering scaffold pore
• Multiphase modelling of the influence of fluid flow and chemical concentration on tissue growth in a hollow fibre membrane bioreactor
• Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media
• A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor
• Lattice and continuum modelling of a bioactive porous tissue scaffold

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