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Plos Computational Biology : a Canonical Model of Multistability and Scale-invariance in Biological Systems, Volume 8

By Freyer, Frank

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Book Id: WPLBN0003941037
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Plos Computational Biology : a Canonical Model of Multistability and Scale-invariance in Biological Systems, Volume 8  
Author: Freyer, Frank
Volume: Volume 8
Language: English
Subject: Journals, Science, Computational Biology
Collections: Periodicals: Journal and Magazine Collection (Contemporary), PLoS Computational Biology
Historic
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Publisher: Plos

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Freyer, F. (n.d.). Plos Computational Biology : a Canonical Model of Multistability and Scale-invariance in Biological Systems, Volume 8. Retrieved from http://cn.ebooklibrary.org/


Description
Description : Multistability and scale-invariant fluctuations occur in a wide variety of biological organisms from bacteria to humans as well as financial, chemical and complex physical systems. Multistability refers to noise driven switches between multiple weakly stable states. Scale-invariant fluctuations arise when there is an approximately constant ratio between the mean and standard deviation of a system’s fluctuations. Both are an important property of human perception, movement, decision making and computation and they occur together in the human alpha rhythm, imparting it with complex dynamical behavior. Here, we elucidate their fundamental dynamical mechanisms in a canonical model of nonlinear bifurcations under stochastic fluctuations. We find that the co-occurrence of multistability and scale-invariant fluctuations mandates two important dynamical properties : Multistability arises in the presence of a subcritical Hopf bifurcation, which generates coexisting attractors, whilst the introduction of multiplicative (state-dependent) noise ensures that as the system jumps between these attractors, fluctuations remain in constant proportion to their mean and their temporal statistics become long-tailed. The simple algebraic construction of this model affords a systematic analysis of the contribution of stochastic and nonlinear processes to cortical rhythms, complementing a recently proposed biophysical model. Similar dynamics also occur in a kinetic model of gene regulation, suggesting universality across a broad class of biological phenomena.

 
 



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