Reversible states of the functioning of regulatory circuits discrete models of gene networks
The paper describes reversible states of the functional graphs identified by thediscrete models of the gene network regulatory circuits with special functions atits vertices. The recurrent formula of the reversible states number as well as its asymptoticbehavior is found.
Download file
Counter downloads: 311
Keywords
генная сеть, дискретная модель, регуляторный контур, обратимые состояния, gene network, discrete model, regulatory circuit, reversible stateAuthors
Name | Organization | |
Kutumova E.O. | Sobolev Institute of Mathematics of SB RAS | e.o.kutumova@gmail.com |
Evdokimov A.A. | Sobolev Institute of Mathematics of SB RAS | evdok@math.nsc.ru |
References
Григоренко E.Д., Евдокимов А.А., Лихошвай В.А., Лобарева И.А. Неподвижные точки и циклы автоматных отображений, моделирующих функционирование генных сетей // Вестник ТГУ. Приложение. 2005. № 14. С. 206−212.
Evdokimov A.A., Kutumova E.O. The discrete model of the gene networks regulatory loops with the threshold functions // Proc. Seventh Intern. Conf. Bioinformatics of Genome Regulation and Structure. 2010. P. 155.
Kauffman S A. At Home in the Universe: The Search for the Laws of Self-Organization and Complexity. Oxford: Oxford University Press, 1995.
Laubenbacher R., Mendes P. A discrete approach to top-down modeling of biochemical networks / A. Kriete, R. Eils // Computational Systems Biology. 2005.
Kauffman S.A., Smith R.G. Adaptive automata based on Darwinian selection // Physica D. 1986. 22(1-3). P. 68-82.
