12 pm Thursday, 24 May, 2012
|Non-local calculus is often overlooked in the mathematics curriculum. We will outline an interesting new class of problems.|
Cells, especially cancer cells, move through the various phases whilst simultaneously undergoing growth and division. The biomass, taken here to be unstructured in size or position, moves through these stages following a multiple-stage delay system. The system is linear and taken to be autonomous.
It is possible to reduce the solution of such a system to that of a nonlinear matrix eigenvalue problem which will be described in this paper. It will be illustrated with case studies including that in the paper that stimulated this work: by Simms K, Bean N , Koeber A. to appear in the Bull. Math. Biol., 2012.