Properties of gene networks with threshold functions
An algorithm for finding all fixed points of the state graph of a circu-lant type gene network transformed by a Boolean function is given. All sources of the state graph of a gene network transformed by a threshold Boolean function in k variables with a single value 1 are described. In case k = 3 all circles of the state graph are described too, and the length of the maximum chain in it is calculated.
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Keywords
генная сеть, ориентированный граф, пороговая функция, граф состояний отображения, цикл, неподвижная точка, исток графа состояний, gene network, directed graph, threshold functions, state graph of mapping, fixed point, source of state graphAuthors
Name | Organization | |
Batueva T. | Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences (Novosibirsk) | batueva@math.nsc.ru |
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