Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis

H. M. Byrne; M. A. J. Chaplain

doi:10.1016/0893-9659(95)00069-3

Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis

H. M. Byrne, M. A. J. Chaplain

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

5 Citations (Scopus)

Abstract

We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.

Original language	English
Pages (from-to)	71-76
Number of pages	6
Journal	Applied Mathematics Letters
Volume	8
Issue number	5
DOIs	https://doi.org/10.1016/0893-9659(95)00069-3
Publication status	Published - Sept 1995

Keywords

Tumour angiogenesis
Chemotaxis
Nonlinear waves

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10.1016/0893-9659(95)00069-3

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title = "Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis",

abstract = "We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.",

keywords = "Tumour angiogenesis, Chemotaxis, Nonlinear waves",

author = "Byrne, {H. M.} and Chaplain, {M. A. J.}",

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AU - Chaplain, M. A. J.

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N2 - We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.

AB - We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.

KW - Tumour angiogenesis

KW - Chemotaxis

KW - Nonlinear waves

U2 - 10.1016/0893-9659(95)00069-3

DO - 10.1016/0893-9659(95)00069-3

M3 - Article

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VL - 8

SP - 71

EP - 76

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

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Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis

Abstract

Keywords

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