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Quantification of degeneracy in Hodgkin-Huxley neurons on Newman-Watts small world network
×÷Õß:Man, MH (Man, Menghua)[ 1 ] ; Zhang, Y (Zhang, Ya)[ 1 ] ; Ma, GL (Ma, Guilei)[ 1 ] ; Friston, K (Friston, Karl)[ 2 ] ; Liu, SH (Liu, Shanghe)[ 1 ]
JOURNAL OF THEORETICAL BIOLOGY
¾í: 402  í“´a: 62-74
DOI: 10.1016/j.jtbi.2016.05.004
³ö°æÈÕÆÚ: AUG 7 2016
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2Â¥: Originally posted by FMStation at 2016-08-14 12:55:46
Quantification of degeneracy in Hodgkin-Huxley neurons on Newman-Watts small world network
×÷Õß:Man, MH (Man, Menghua) ; Zhang, Y (Zhang, Ya) ; Ma, GL (Ma, Guilei) ; Friston, K (Friston, Karl) ; Liu ...

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manmenghua(lazy½õϪ´ú·¢): ½ð±Ò+20, ЭÖú½áÌû£¬¸ÐлӦÖú£¡ 2016-08-17 15:46:55
lazy½õϪ: LS-EPI+1 2016-08-17 15:47:14
Quantification of degeneracy in Hodgkin-Huxley neurons on Newman-Watts small world network
×÷Õß:Man, MH (Man, Menghua)[ 1 ] ; Zhang, Y (Zhang, Ya)[ 1 ] ; Ma, GL (Ma, Guilei)[ 1 ] ; Friston, K (Friston, Karl)[ 2 ] ; Liu, SH (Liu, Shanghe)[ 1 ]


JOURNAL OF THEORETICAL BIOLOGY


¾í: 402
Ò³: 62-74
DOI: 10.1016/j.jtbi.2016.05.004

³ö°æÄê: AUG 7 2016

²é¿´ÆÚ¿¯ÐÅÏ¢

JOURNAL OF THEORETICAL BIOLOGY  

³ö°æÉÌ ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND

ISSN: 0022-5193
eISSN: 1095-8541

Ñо¿ÁìÓò Life Sciences & Biomedicine - Other Topics
Mathematical & Computational Biology



ÕªÒª
Degeneracy is a fundamental source of biological robustness, complexity and evolvability in many biological systems. However, degeneracy is often confused with redundancy. Furthermore, the quantification of degeneracy has not been addressed for realistic neuronal networks. The objective of this paper is to characterize degeneracy in neuronal network models via quantitative mathematic measures. Firstly, we establish Hodgkin-Huxley neuronal networks with Newman-Watts small world network architectures. Secondly, in order to calculate the degeneracy, redundancy and complexity in the ensuing networks, we use information entropy to quantify the information a neuronal response carries about the stimulus - and mutual information to measure the contribution of each subset of the neuronal network. Finally, we analyze the interdependency of degeneracy, redundancy and complexity and how these three measures depend upon network architectures. Our results suggest that degeneracy can be applied to any neuronal network as a formal measure, and degeneracy is distinct from redundancy. Qualitatively degeneracy and complexity are more highly correlated over different network architectures, in comparison to redundancy. Quantitatively, the relationship between both degeneracy and redundancy depends on network coupling strength: both degeneracy and redundancy increase with complexity for small coupling strengths; however, as coupling strength increases, redundancy decreases with complexity (in contrast to degeneracy, which is relatively invariant). These results suggest that the degeneracy is a general topologic characteristic of neuronal networks, which could be applied quantitatively in neuroscience and connectomics. (C) 2016 Elsevier Ltd. All rights reserved.

¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:Complexity; Redundancy; Neuronal networks

KeyWords Plus:NON-GAUSSIAN NOISE; FUNCTIONAL CONNECTIVITY; MULTIPLE RESONANCES; COGNITIVE FUNCTIONS; TIME DELAYS; BRAIN; COMPLEXITY; SYSTEMS; INFORMATION; MODEL

×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Man, MH (ͨѶ×÷Õß)       Mech Engn Coll, Electrostat & Electromagnet Protect Inst, Shijiazhuang, Peoples R China.


µØÖ·:        [ 1 ] Mech Engn Coll, Electrostat & Electromagnet Protect Inst, Shijiazhuang, Peoples R China
[ 2 ] UCL, Inst Neurol, Wellcome Trust Ctr Neuroimaging, Queen Sq, London, England
  ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ
    University College London
    University of London  


µç×ÓÓʼþµØÖ·:manmenghua@126.com

»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ
National Natural Science Foundation of China  51407194  
Wellcome Trust  088130/Z/09/Z  
²é¿´»ù½ð×ÊÖúÐÅÏ¢¹Ø±Õ»ù½ð×ÊÖúÐÅÏ¢   

Thank anonymous reviewers for constructive comments on this work. We would like to thank Mai Lu and Qian Zhou for helpful suggestions. This work was supported by the National Natural Science Foundation of China (Grant no. 51407194). K.F. is funded by the Wellcome Trust (Ref.: 088130/Z/09/Z).

³ö°æÉÌ
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND

Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Life Sciences & Biomedicine - Other Topics; Mathematical & Computational Biology

Web of Science Àà±ð:Biology; Mathematical & Computational Biology

ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000377623700008

PubMed ID: 27155043

ISSN: 0022-5193

eISSN: 1095-8541

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IDS ºÅ: DO2QA

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 73

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0

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2015  5 Äê  


JCR® Àà±ð Àà±ðÖеÄÅÅÐò JCR ·ÖÇø
BIOLOGY  25/86  Q2
MATHEMATICAL & COMPUTATIONAL BIOLOGY  14/56  Q1


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