In this paper, the functioning of circulant type gene networks with threshold function are studied. All states of a system are classified according to the length of 0-series and 1-series. It is shown that all cycles of a functional graph are divided into two groups: cycles composed of states with long series and cycles composed of states with short series. Some lower estimate of the number of cycles in a functional graph is obtained. A construction for building cycles composed of states with short series is given.
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- Title On cycles in functional graphs of circulant type gene networks with threshold functions
- Headline On cycles in functional graphs of circulant type gene networks with threshold functions
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Tomsk State University - Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 7 (Приложение)
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Keywords
генные сети, пороговые функции, граф функционирования, циклы графа функционирования, состояния с длинными сериями, состояния с ко-роктими сериями, gene network, threshold functions, functional graph, cycles of functional graph, states with long series, states with short seriesAuthors
References
Быков И. С. Функционирование дискретных моделей генных сетей циркулянтного типа с пороговыми функциями // Материалы IX молодежной научн. школы по дискретной математике и её приложениям. МГУ, 2013. С. 26-31.
Евдокимов А. А., Лиховидова Е. О. Дискретная модель генной сети циркулянтного типа с пороговыми функциями // Вестник Томского государственного университета. 2008. №2. С.18-21.
On cycles in functional graphs of circulant type gene networks with threshold functions | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2014. № 7 (Приложение).
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