Eugene Demidenko, Dartmouth College

Many biological studies confirmed that the growth of

unpertubated cancer tumor follows Gompertz curve, which can

be defined via a simple ODE. While there are several

complicated biomathematical models to describe cell

population, construction of parsimonious (specified by a

small number of parameters) tumor re-growth model is a long-

standing problem of mathematical cancer biology. I show how

to construct such curves based on the four compartment cell

cycle model. This model fits real life data incredible

well. An important application of the re-growth curve

theory is the ability (a) to recover cell kill in vivo (b)

determine the supra-additive effect when several treatments

are combined. The ideas are illustrated on real life cancer

data experiments.

This talk is about applied mathematics where emphasis is on

conceptual not technical matters.

This talk requires just basic calculus and some ordinary

differential equation theory. All needed biological terms

and notions will be introduced. Thus it is accessible even

for undergraduate students.