Mathematical and computational models of cancer evolution

  • Rnf 14 - G12A, Clayton Monash University Clayton Australia

Speaker: Prof. Arne Traulsen, Max Planck Institute for Evolutionary Biology

Cancer can be viewed as an evolutionary process, where the accumulation of mutations in a cell eventually causes cancer. The cells in a tissue are not only organized spatially, but typically hierarchically. This affects the dynamics in these tissues and inhibits the accumulation of mutations. Mutations arising in primitive cells can lead to long lived or even persistent clones, but mutations arising in further differentiated cells are short lived and do not affect the organism. Both the spatial structure and the hierarchical structure can be modeled mathematically. The effect of spatial structure on evolutionary dynamics is non-trivial and depends on the precise implementation of the model. Hierarchical structure can delay or suppress the dynamics of cancer. While these models can lead to important conceptual insights, fitting these models directly to data remains challenging. However, closely related models have the remarkable property that they can make a prediction with data obtained from a single measurement.

Arne Traulsen studied geophysics and physics in Kiel, Leipzig and Gothenburg and obtained a doctoral degree in Theoretical Physics at Kiel University in 2005. After a PostDoc with Martin Nowak at Harvard, he started his own group at the Max-Planck Institute for Evolutionary Biology in Plön, Northern Germany. Since 2012, he has been an honorary professor for Mathematical Biology at Lübeck University. In April 2014, he became Director of the Department Evolutionary Theory at the Max-Planck Institute for Evolutionary Biology.