A mathematical model of growth factor induced capillary growth in the retina

DOI10.1016/0895-7177(96)00124-0zbMath0894.92021OpenAlexW2027884887MaRDI QIDQ1381759

Sophia A. Maggelakis, Andreas E. Savakis

Publication date: 10 September 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(96)00124-0

zbMATH Keywords

angiogenesisoxygen consumptionVEGFvascular endothelial growth factorretinopathyabnormal capillary growthgrowth of retinal capillaries

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Physiology (general) (92C30)

Related Items (5)

A continuum mathematical model of the developing murine retinal vasculature ⋮ A hybrid discrete-continuum mathematical model of pattern prediction in the developing retinal vasculature ⋮ A multiscale computational model of angiogenesis after traumatic brain injury, investigating the role location plays in volumetric recovery ⋮ A mathematical model of retinal neovascularization ⋮ A review of mathematical models for the formation of vascular networks

Cites Work

• Growth factors and growth control of heterogeneous cell populations
• Solution uniqueness and stability criteria for a model of growth factor production
• The effects of tumor growth factors on the growth rate of cell cultures
• Type \(\alpha\) and type \(\beta\) transforming growth factors as regulators of cancer cellular growth: A mathematical model

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