Solving Differential Equations in Developmental
Models of Multicellular Structures Expressed
Using L-systems
Pavol Federl and Przemyslaw Prusinkiewicz
Department of Computer Science, University of Calgary
Calgary, Alberta, Canada T2N 1N4
e-mail: federl|pwp@cpsc.ucalgary.ca
Abstract
Mathematical modeling of growing multicellular structures
creates the problem of solving systems of equations in which not only the
values of variables, but the equations themselves, may change over time.
We consider this problem in the framework of Lindenmayer systems,
a standard formalism for modeling plants, and show how parametric
context-sensitive L-systems can be used to numerically solve growing
systems of coupled differential equations. We illustrate our technique
with a developmental model of the multicellular bacterium
Anabaena.
Reference
P. Federl and P. Prusinkiewicz: Solving differential equations in
developmental models of multicellular structures expressed using
L-systems. In M. Bubak, G. van Albada, P. Sloot and J. Dongarra
(Eds.): Proceedings of Computational Science. ICCS 2004
(Krakow, Poland, June 6-9, 2004), Part II, Lecture Notes in
Computer Science 3037, Springer, Berlin, pp. 65-72.
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