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The steady state of a maturity structured tumor cord cell population

Abstract:
We consider a mathematical model of a proliferating tumor cell population forming a cylindrical structure around an interior blood vessel. We analyse the equilibrium problem when cells are distinguished by maturity, radial distance from the interior vessel, and proliferative or quiescent state. We give sufficient conditions to assure the existence of a unique steady state.
Publication status:
Published

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Publisher copy:
10.3934/dcdsb.2004.4.115

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume:
4
Issue:
1
Pages:
115-134
Publication date:
2004-02-05
DOI:
ISSN:
1531-3492
URN:
uuid:68bb9a29-da0b-4609-b98e-ce4ae6136889
Source identifiers:
23520
Local pid:
pubs:23520

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