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Growth of cortical neuronal network in vitro: Modeling and analysis

Pik-Yin Lai1,2,3,*, L. C. Jia4,5,†, and C. K. Chan1,5,‡

  • 1Graduate Institute of Biophysics and Center for Complex Systems, National Central University, Chung-Li, Taiwan 320, Republic of China
  • 2Physics Division, National Center for Theoretical Sciences, Kuang-Fu Road, Section 2, Hsinchu, Taiwan 300, Republic of China
  • 3Brain Research Center, University Systems of Taiwan, 300 Jung Da Road, Chung-Li, Taiwan 320, Republic of China
  • 4Institute of Medical Image, Yuanpei University of Science & Technology, Hsinchu, Taiwan 300, Republic of China
  • 5Institute of Physics, Academia Sinica, Nankang, Taipei, Taiwan 115, Republic of China

  • *Email address: pylai@phy.ncu.edu.tw
  • †Email address: jia@mail.yust.edu.tw
  • ‡Email address: phckchan@ccvax.sinica.edu.tw
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Phys. Rev. E 73, 051906 – Published 11 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.051906

Abstract

We present a detailed analysis and theoretical growth models to account for recent experimental data on the growth of cortical neuronal networks in vitro [Phys. Rev. Lett. 93, 088101 (2004)]. The experimentally observed synchronized firing frequency of a well-connected neuronal network is shown to be proportional to the mean network connectivity. The growth of the network is consistent with the model of an early enhanced growth of connection, but followed by a retarded growth once the synchronized cluster is formed. Microscopic models with dominant excluded volume interactions are consistent with the observed exponential decay of the mean connection probability as a function of the mean network connectivity. The biological implications of the growth model are also discussed.

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Phys. Rev. E 73, 051906– Published 11 May, 2006
  • Received 11 May 2005

© 2006 American Physical Society

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