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Calculus from the past: multiple delay systems arising in cancer cell modelling

Abstract:

Non-local calculus is often overlooked in the mathematics curriculum. In this paper we present an interesting new class of non-local problems that arise from modelling the growth and division of cells, especially cancer cells, as they progress through the cell cycle. The cellular biomass is assumed to be unstructured in size or position, and its evolution governed by a time-dependent system of ordinary differential equations with multiple time delays. The system is linear and taken to be auto...

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Publication date:
2012-01-01
UUID:
uuid:f4c36bbd-85c1-4af3-9274-c88237f66208
Local pid:
oai:eprints.maths.ox.ac.uk:1655
Deposit date:
2013-02-03

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