Cell proliferation is typically incorporated into stochastic mathematical models of cell migration by assuming that cell divisions occur after an exponentially distributed waiting time. Experimental observations, however, show that this assumption is often far from the real cell cycle time distribution (CCTD). In this talk I will investigate the connection between the CCTD and the speed of the collective cell invasion. I will present a series of stochastic and deterministic age-structured models which can be used to explore this connection from an analytical prospective. The results allow us to determine the range of possible invasion speeds in terms of the average cell proliferation time. Finally, I will discuss potential medical applications of these models to melanoma drug treatment optimisation and other extensions.


About Applied and computational maths seminars

Our seminars bring together UQ's applied and computational mathematics communities.

UQ and invited scientists deliver the presentations, which are informal and promote discussion.

We welcome suggestions for speakers and topics from staff, students and visitors, and encourage students to share their work.

Our seminars are usually held on Thursdays from 3pm to 4pm.

To suggest a topic or speaker, and for more information, contact Dr Dietmar Oelz or Dr Fred Roosta-Khoransani.

Venue

Building 6, St Lucia
Room: 
407