| Description: | This article discusses cooperation in neural systems. Abstract: Inverse power law distributions are generally interpreted as a manifestation of complexity, and waiting time distributions with power index μ < 2 reflect the occurrence of ergodicity-breaking renewal events. In this paper we show how to combine these properties with the apparently foreign clocklike nature of biological processes. We use a two-dimensional regular network of leaky integrate-and-fire neurons, each of which is linked to its four nearest neighbors, to show that both complexity and periodicity are generated by locality breakdown: Links of increasing strength have the effect of turning local interactions into long-range interactions, thereby generating time complexity followed by time periodicity. Increasing the density of neuron firings reduces the influence of periodicity, thus creating a cooperation-induced renewal condition that is distinctly non-Poissonian. |
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| Creator(s): | |
| Creation Date: | November 29, 2012 |
| Partner(s): |
UNT College of Arts and Sciences
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| Collection(s): |
UNT Scholarly Works
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| Usage: |
Total Uses: 16
Past 30 days: 1
Yesterday: 0
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| Creator (Author): |
Zare, Marzieh
University of North Texas |
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| Creator (Author): |
Grigolini, Paolo
University of North Texas |
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| Publisher Info: |
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
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| Original Creation Date: | November 29, 2012 | |
| Description: | This article discusses cooperation in neural systems. Abstract: Inverse power law distributions are generally interpreted as a manifestation of complexity, and waiting time distributions with power index μ < 2 reflect the occurrence of ergodicity-breaking renewal events. In this paper we show how to combine these properties with the apparently foreign clocklike nature of biological processes. We use a two-dimensional regular network of leaky integrate-and-fire neurons, each of which is linked to its four nearest neighbors, to show that both complexity and periodicity are generated by locality breakdown: Links of increasing strength have the effect of turning local interactions into long-range interactions, thereby generating time complexity followed by time periodicity. Increasing the density of neuron firings reduces the influence of periodicity, thus creating a cooperation-induced renewal condition that is distinctly non-Poissonian. |
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| Degree: |
Department:
Physics
Department:
Center for Nonlinear Science
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| Note: |
Copyright 2012 American Physical Society. The following article appeared in Physical Review E, 86; http://pre.aps.org/abstract/PRE/v86/i5/e051918 |
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| Physical Description: |
6 p. |
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| Keyword(s): | periodicity | neural systems | power index | inverse power | law distribution | |
| Source: | Physical Review E, 2012, College Park: American Physical Society | |
| Partner: |
UNT College of Arts and Sciences
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| Collection: |
UNT Scholarly Works
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| Identifier: |
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| Resource Type: | Article | |
| Format: | Text | |
| Rights: |
Access:
Public
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| Citation: |
Publication Title: Physical Review E
Volume: 86
Pages: 6
Peer Reviewed: Yes
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