Chalmers Conferences, 9th European Conference on Mathematical and Theoretical Biology

Pattern formation on curved surfaces: an analytical exploration
Frist Veerman

Last modified: 2014-06-09


Abstract: Patterned curved surfaces are ubiquitous in biology. In this talk, the extension of the Turing patterning mechanism to such curved surfaces is explored analytically. The effect of curvature on pattern shape is illustrated by a number of sample surfaces. The analysis pairs concepts and tools from differential geometry with classical ODE theory. The possibilities and challenges of general curved surfaces will be addressed, with possible extensions to surface growth.