Morphological characterization of in vitro neuronal networks.

We use in vitro neuronal networks as a model system for studying self-organization processes in the nervous system. We follow the neuronal growth process, from isolated neurons to fully connected two-dimensional networks. The mature networks are mapped into connected graphs and their morphological characteristics are measured. The distributions of segment lengths, node connectivity, and path length between nodes, and the clustering coefficient of the networks are used to characterize network morphology and to demonstrate that our networks fall into the category of small-world networks.

[1]  T. Sejnowski,et al.  Irresistible environment meets immovable neurons , 1997, Behavioral and Brain Sciences.

[2]  Eshel Ben-Jacob When order comes naturally , 2002, Nature.

[3]  N Mathias,et al.  Small worlds: how and why. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  C Koch,et al.  Complexity and the nervous system. , 1999, Science.

[5]  R. Segev,et al.  Self-wiring of neural networks , 1997, cond-mat/9710352.

[6]  D A Turner,et al.  Dendrites of classes of hippocampal neurons differ in structural complexity and branching patterns , 1999, The Journal of comparative neurology.

[7]  S. Strogatz Exploring complex networks , 2001, Nature.

[8]  Amir Ayali,et al.  Growth morphology of two-dimensional insect neural networks , 2002, Neurocomputing.

[9]  Geoffrey J. Goodhill,et al.  Mathematical guidance for axons , 1998, Trends in Neurosciences.

[10]  Chris D. W. Wilkinson,et al.  Networks of living cells , 1999 .

[11]  Frank Harary,et al.  Distance in graphs , 1990 .

[12]  Horner,et al.  Voltage-activated currents in identified giant interneurons isolated from adult crickets gryllus bimaculatus , 1998, The Journal of experimental biology.

[13]  R. Albert,et al.  The large-scale organization of metabolic networks , 2000, Nature.

[14]  Eshel Ben-Jacob,et al.  Generic modeling of chemotactic based self-wiring of neural networks , 1998, Neural Networks.

[15]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[16]  Eshel Ben-Jacob,et al.  From Neurons to Brain: Adaptive Self-Wiring of Neurons , 1998, Adv. Complex Syst..

[17]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[18]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[19]  E. Muñoz-Martínez Small Worlds: The Dynamics of Networks Between Order and Randomness, by Duncan J. Watts, (Princeton Studies in Complexity), Princeton University Press, 1999. $39.50 (hardcover), 262 pp. ISBN: 0-691-00541-9. (Book Reviews) , 2000 .

[20]  D. Fell,et al.  The small world inside large metabolic networks , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[21]  Steve M. Potter,et al.  Distributed Processing in Cultured Neuronal Networks Chapter 4 , 2001 .

[22]  V Berezin,et al.  A simple procedure for morphometric analysis of processes and growth cones of neurons in culture using parameters derived from the contour and convex hull of the object 1 More information about the software can be obtained from the authors. 1 , 1998, Journal of Neuroscience Methods.