A convection-diffusion-shape model for aberrant colonic crypt morphogenesis

DOI10.1007/s00791-012-0170-3zbMath1238.92018OpenAlexW1964420609MaRDI QIDQ424940

J. Herrera, H. S. Yoon

Publication date: 7 June 2012

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-012-0170-3

zbMATH Keywords

finite elementsconvection-diffusion equationDarcy lawbackward Euler methodcolonic crypts

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Developmental biology, pattern formation (92C15) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (6)

Multiscale modelling of intestinal crypt organization and carcinogenesis ⋮ 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

• A history of the study of solid tumour growth: the contribution of mathematical modelling
• A new ghost cell/level set method for moving boundary problems: application to tumor growth
• On Darcy's law for growing porous media
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• A new mathematical model for avascular tumour growth
• Mixed-type boundary conditions for second order elliptic differential equations
• Individual-based models to growth and folding in one-layered tissues: intestinal crypts and early development.
• Mathematical modeling of tumor-induced angiogenesis
• Biomechanical modelling of colorectal crypt budding and fission
• Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
• Mathematical Models of Avascular Tumor Growth
• Partial differential equations for self-organization in cellular and developmental biology
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