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Discrete explorations of multicellular growth and morphogenesis

Roeland M.H. Merks (2011) Discrete explorations of multicellular growth and morphogenesis. In: M. van der Heijden, B. Koren, R.D. van der Mei, R.D. and J.A.J. Vonderen (Eds.) Jan Karel Lenstra, the traveling science man: liber amicorum, pp. 95-105.

Discrete explorations of multicellular growth and morphogenesis

In this contribution, I will explore the use of graph theory in analyzing the cellular configurations coming from our simulations of blood vessel growth. As a first step, we transform the simulated biological tissue into a graph that represents the adjacency relations of cells, focusing on topology. After outlining the cell-based algorithms we use to simulate blood vessel growth, we discuss preliminary explorations in the use of graph theoretic measures for characterizing blood vessel sprouting. We end by discussing some future developments in the discrete mathematics of biological morphogenesis. [ PDF ]