The evolution of a tumor cord cell population

Janet Dyson; Rosanna Villella-Bressan; G. F. Webb

doi:10.3934/cpaa.2004.3.331

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2004, Volume 3, Issue 3: 331-352. Doi: 10.3934/cpaa.2004.3.331

This issue Previous Article Next Article Global existence and regularity for the Lagrangian averaged Navier-Stokes equations with initial data in $H^{1//2}$

The evolution of a tumor cord cell population

1.
Department of Mathematics, Mansfield College, Oxford University, Oxford, England
2.
Dipartimento di Matematica Pura e Applicata, Universita' di Padova, Padua
3.
Department of Mathematics, Vanderbilt University, Nashville, TN 37235

Received: February 28, 2003

Revised: January 31, 2004

Published: August 2004

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Abstract

A model of a tumor cord cell population is analyzed in which individual cells are distinguished by cell age and radial position. The existence and asymptotic behavior of solutions are investigated. It is proved that solutions are asymptotically eventually periodic.

Keywords:

Tumor cord cell population,
nonlinear rst order partial dierential equation,
asymptotic behavior.

Mathematics Subject Classification: Primary 34l60, 92D25, 92C50.

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