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

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Publication:1904518
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DOI10.1016/0893-9659(95)00069-3zbMath0832.92008OpenAlexW2084630366MaRDI QIDQ1904518

Helen M. Byrne, Mark A. J. Chaplain

Publication date: 20 December 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00069-3


zbMATH Keywords

growthnonlinear wavesdevelopmentmethod of characteristicsexact analytical solutionscapillary sproutstumour angiogenesis factorchemotactic stimulus


Mathematics Subject Classification ID

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


Related Items

Spatio-temporal models of lymphangiogenesis in wound healing ⋮ Individual-based approaches to birth and death in avascular tumors ⋮ Unnamed Item



Cites Work

  • Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
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