Post-Turing tissue pattern formation: Insights from mathematical modelling

Mathematical Biology

04 December 14:00 - 14:45

Anna Marciniak-Czochra - Heidelberg University

Cells and tissue are objects of the physical world, and therefore they obey the laws of physics and chemistry, notwithstanding the molecular complexity of biological systems. What are the mathematical principles that are at play in generating such complex entities from simple laws? Understanding the role of mechano-chemical interactions in cell processes, tissue development, regeneration and disease has become a rapidly expanding research field in the life sciences.To reveal the patterning potential of mechano-chemical interactions, we have developed mathematical models coupling dynamics of diffusing molecular signals with a model of tissue deformation, accounting for a range of mechano-chemical feedbacks. Numerical simulations show ability of the proposed mechanisms to generate development of various spatio-temporal structures. We compare the resulting patterns of tissue invagination and evagination to those encountered in developmental biology. We discuss analytical and numerical challenges of the proposed models and compare them to the classical Turing patterns as well as reaction-diffusion ODE models coupling diffusion-based cell-to-cell communication with intracellular signalling.
Mats Gyllenberg
University of Helsinki
Torbjörn Lundh
Chalmers/University of Gothenburg
Philip Maini
University of Oxford
Roeland Merks
Universiteit Leiden
Mathisca de Gunst
Vrije Universiteit Amsterdam


Roeland Merks


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