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Computation in gene networks
Author(s) -
Asa BenHur,
Hava T. Siegelmann
Publication year - 2003
Publication title -
chaos an interdisciplinary journal of nonlinear science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.971
H-Index - 113
eISSN - 1089-7682
pISSN - 1054-1500
DOI - 10.1063/1.1633371
Subject(s) - robustness (evolution) , computation , computer science , bounded function , nonlinear system , gene regulatory network , chaotic , turing , differential equation , process (computing) , theoretical computer science , mathematics , algorithm , artificial intelligence , gene , physics , mathematical analysis , quantum mechanics , programming language , operating system , biochemistry , chemistry , gene expression
Genetic regulatory networks have the complex task of controlling all aspects of life. Using a model of gene expression by piecewise linear differential equations we show that this process can be considered as a process of computation. This is demonstrated by showing that this model can simulate memory bounded Turing machines. The simulation is robust with respect to perturbations of the system, an important property for both analog computers and biological systems. Robustness is achieved using a condition that ensures that the model equations, that are generally chaotic, follow a predictable dynamics.

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