A computer model of oxygen dynamics in human colon mucosa: implications in normal physiology and early tumor development

DOI10.1016/j.jtbi.2007.09.035zbMath1397.92137OpenAlexW2010820566WikidataQ51900225 ScholiaQ51900225MaRDI QIDQ1788458

Daniel V. Guebel, Néstor V. Torres

Publication date: 8 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2007.09.035

zbMATH Keywords

microcirculationmathematical modelrespirationcapillaryoxygen diffusionaberrant crypt focicolondelivery transportneoplasm

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08)

Related Items

Density-pressure IBVP: numerical analysis, simulation and cell dynamics in a colonic crypt ⋮ Modeling and Computer Simulation of Viscoelastic Crypt Deformation ⋮ Mathematical model for simulation of morphological changes associated to crypt fission in the colon ⋮ Homogenization Model for Aberrant Crypt Foci ⋮ Biomathematical model for simulating abnormal orifice patterns in colonic crypts

Cites Work

• Individual-based models to growth and folding in one-layered tissues: intestinal crypts and early development.
• A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins
• A nonlinear mathematical model of cell turnover, differentiation and tumorigenesis in the intestinal crypt
• Nonlinear simulation of the effect of microenvironment on tumor growth
• Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
• A Multiple Scale Model for Tumor Growth
• A Review of Vasculogenesis Models
• Calculations of intracapillary oxygen tension distributions in muscle