A framework for simulating axon guidance

We present an open-L-systems-based framework for modeling, simulating and visualizing axon guidance. It enables efficient integrative simulation of the two concurrent processes involved in axon guidance-the process of the extracellular environment and that of the growing neuron having its axon guided towards the target area by different mechanisms-and the communication and interaction between them. We illustrate the framework with an axon guidance model we constructed and the graphical results we got, which describe the axon's development in its environmental context. The graphical results can be displayed on the computer screen animatedly.

[1]  Przemyslaw Prusinkiewicz,et al.  L-systems: from the Theory to Visual Models of Plants , 2001 .

[2]  Radomír Mech,et al.  Visual models of plants interacting with their environment , 1996, SIGGRAPH.

[3]  Olaf Sporns,et al.  Modeling in the Neurosciences , 1999 .

[4]  P. Hamilton A language to describe the growth of neurites , 2004, Biological Cybernetics.

[5]  David Salesin,et al.  Interactive arrangement of botanical L-system models , 1999, SI3D.

[6]  C. Goodman,et al.  The Molecular Biology of Axon Guidance , 1996, Science.

[7]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[8]  S. Charpier,et al.  Dendritic Arborizations of the Rat Substantia Nigra Pars Reticulata Neurons: Spatial Organization and Relation to the Lamellar Compartmentation of Striato-Nigral Projections , 2001, The Journal of Neuroscience.

[9]  A. Lindenmayer Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. , 1968, Journal of theoretical biology.

[10]  L. Landmesser,et al.  Axon guidance at choice points , 1998, Current Opinion in Neurobiology.

[11]  Jeffrey L. Krichmar,et al.  L-neuron: A modeling tool for the efficient generation and parsimonious description of dendritic morphology , 2000, Neurocomputing.

[12]  H. Hentschel,et al.  Models of axon guidance and bundling during development , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[13]  Harold Abelson,et al.  Turtle geometry : the computer as a medium for exploring mathematics , 1983 .

[14]  A. Goodchild,et al.  Morphology of retinal ganglion cells in a New World monkey, the marmoset Callithrix jacchus , 1996, The Journal of comparative neurology.