Mathematical Biology Seminar
(co-sponsored by the Mathematical and Theoretical Biology Institute)

Time and Date:  April 29, 3:40 - 4:30

Place:  PSA 307

Speaker: Philip Maini, Mathematical and Physical Sciences Division,
University of Oxford


Topic: Modelling aspects of vascular cancer

Abstract:
The modelling of cancer provides an enormous mathematical challenge
because of its inherent multi-scale nature. For example, in vascular
tumours, nutrient is transported by the vascular system, which operates on
a tissue level. However, it affects processes occurring on a molecular
level. Molecular and intra-cellular events in turn affect the vascular
network and therefore the nutrient dynamics. Our modelling approach is to
model, using partial differential equations, processes on the tissue level
and couple these to the intercellular events (modelled by ordinary
differential equations) via cells modelled as automaton units. Thusfar,
within this framework, we have modelled structural adaptation at the
vessel level and we have modelled the cell cycle in order to account for the
effects of p27 during hypoxia. These results will be presented.