A viscoelastic model of blood capillary extension and regression: derivation, analysis, and simulation
From MaRDI portal
Publication:2436602
DOI10.1007/s00285-012-0624-8zbMath1280.92012OpenAlexW2152906758WikidataQ51300451 ScholiaQ51300451MaRDI QIDQ2436602
Publication date: 25 February 2014
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-012-0624-8
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Computational methods for problems pertaining to biology (92-08)
Related Items
The J-S model versus a non-ideal MHD theory, Mathematical models for the non-isothermal Johnson-Segalman viscoelasticity in porous media: stability and wave propagation, A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy
Cites Work
- Unnamed Item
- Unnamed Item
- Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
- A continuum model of motility in ameboid cells
- Lattice and non-lattice models of tumour angiogenesis
- A deterministic model of growth factor-induced angiogenesis
- Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
- A cell-based model of endothelial cell migration, proliferation and maturation during corneal angiogenesis
- Stochastic modelling of tumour-induced angiogenesis
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
- Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation
- A model of wound-healing angiogenesis in soft tissue
- Mathematical modeling of tumor-induced angiogenesis
- A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins
- Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies
- Continuum approximations of individual-based models for epithelial monolayers
- A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies
- A mechanochemical model of angiogenesis and vasculogenesis
