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Phys. Rev. Lett. 94, 058101 (2005) [4 pages]

Critical Branching Captures Activity in Living Neural Networks and Maximizes the Number of Metastable States

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Clayton Haldeman and John M. Beggs*
Department of Physics, Indiana University, Bloomington, Indiana, USA

Received 15 September 2004; published 7 February 2005

Recent experimental work has shown that activity in living neural networks can propagate as a critical branching process that revisits many metastable states. Neural network theory suggests that attracting states could store information, but little is known about how a branching process could form such states. Here we use a branching process to model actual data and to explore metastable states in the network. When we tune the branching parameter to the critical point, we find that metastable states are most numerous and that network dynamics are not attracting, but neutral.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.058101
DOI:
10.1103/PhysRevLett.94.058101
PACS:
87.18.Sn, 05.70.Jk, 87.19.La, 89.75.Fb

*Corresponding author: jmbeggs@indiana.edu

See Also

Comment: Dietmar Plenz, Comment on “Critical Branching Captures Activity in Living Neural Networks and Maximizes the Number of Metastable States”, Phys. Rev. Lett. 95, 219801 (2005).

Reply: John M. Beggs and Clayton Haldeman, Beggs and Haldeman Reply:, Phys. Rev. Lett. 95, 219802 (2005).