12 pm Thursday, 24 May, 2012
303-412
| 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. |