A mathematical model for capillary network formation in the absence of endothelial cell proliferation

A. R. A. Anderson; M. A. J. Chaplain

doi:10.1016/S0893-9659(98)00041-X

A mathematical model for capillary network formation in the absence of endothelial cell proliferation

A. R. A. Anderson, M. A. J. Chaplain

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of cell-surface receptors, is given for the experimentally observed fact that without cell proliferation tumour vascularisation is never achieved.

Original language	English
Pages (from-to)	109-114
Number of pages	6
Journal	Applied Mathematics Letters
Volume	11
Issue number	3
DOIs	https://doi.org/10.1016/S0893-9659(98)00041-X
Publication status	Published - May 1998

Keywords

Angiogenesis
Endothelial cells
Chemotaxis
Haptotaxis

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10.1016/S0893-9659(98)00041-X

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title = "A mathematical model for capillary network formation in the absence of endothelial cell proliferation",

abstract = "A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of cell-surface receptors, is given for the experimentally observed fact that without cell proliferation tumour vascularisation is never achieved.",

keywords = "Angiogenesis, Endothelial cells, Chemotaxis, Haptotaxis",

author = "Anderson, {A. R. A.} and Chaplain, {M. A. J.}",

year = "1998",

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AU - Anderson, A. R. A.

AU - Chaplain, M. A. J.

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N2 - A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of cell-surface receptors, is given for the experimentally observed fact that without cell proliferation tumour vascularisation is never achieved.

AB - A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of cell-surface receptors, is given for the experimentally observed fact that without cell proliferation tumour vascularisation is never achieved.

KW - Angiogenesis

KW - Endothelial cells

KW - Chemotaxis

KW - Haptotaxis

U2 - 10.1016/S0893-9659(98)00041-X

DO - 10.1016/S0893-9659(98)00041-X

M3 - Article

SN - 0893-9659

VL - 11

SP - 109

EP - 114

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

A mathematical model for capillary network formation in the absence of endothelial cell proliferation

Abstract

Keywords

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