The Mathematical Institute, University of Oxford, Eprints Archive

Functional differential equations arising in cell-growth

Wake, Graeme and Begg, R E (2009) Functional differential equations arising in cell-growth. Not specified . (Submitted)

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Abstract

Non-local differential equations are notoriously difficult to solve. Cell-growth models for population growth of a cohort structured by size, simultaneously growing and dividing, give rise to a class of non-local eigenvalue problems, whose “principal” eigenvalue is the time-constant for growth/decay. These and other novel non-local problems are described and solved in special cases in this paper.

Item Type:Article
Subjects:O - Z > Partial differential equations
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:823
Deposited By:Dr M. Stoll
Deposited On:24 Sep 2009 13:33
Last Modified:24 Sep 2009 13:33

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