An integro-partial differential equation for modeling biofluids flow in fractured biomaterials

DOI10.1016/j.jtbi.2010.12.039zbMath1405.92068OpenAlexW2026776379WikidataQ51618381 ScholiaQ51618381MaRDI QIDQ1670661

Kouroush Sadegh Zadeh

Publication date: 6 September 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.12.039

zbMATH Keywords

incomplete beta functionporous mediascalingintegro-partial differential equationfinite element method (FEM)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Biochemistry, molecular biology (92C40) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flow (92C35)

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Cites Work

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• A mass-conservative switching algorithm for modeling fluid flow in variably saturated porous media
• A three-layer continuous model of porous media to describe the first phase of skin irritation
• Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor
• A class of exact solutions for biomacromolecule diffusion-reaction in live cells
• Maximum geometrical hindrance to diffusion in brain extracellular space surrounding uniformly spaced convex cells
• Computational model of flow-tissue interactions in intussusceptive angiogenesis
• A new method to model change in cutaneous blood flow due to mechanical skin irritation. I: Comparison between experimental and numerical data
• A new method to model change in cutaneous blood flow due to mechanical skin irritation. II: Parameter identification procedure
• Mathematical modelling of human mesenchymal stem cell proliferation and differentiation inside artificial porous scaffolds
• Parameter estimation in flow through partially saturated porous materials
• Multi-objective optimization in variably saturated fluid flow
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
• Models for the Growth of a Solid Tumor by Diffusion
• Theory of Laminar Flames