A Linear Formulation of Asynchronous Boolean Networks

A new linear approach is proposed to model the dynamics of asynchronous Boolean networks (ABNs). The continuous-time discrete-state model definition makes the ABN a suitable formulation to describe gene regulatory networks. The semi-tensor product of matrices is used as the algebraic tool for the li...

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Published inIEEE control systems letters Vol. 3; no. 2; pp. 284 - 289
Main Authors Das, Haimabati, Deshpande, Anuj, Layek, Ritwik Kumar
Format Journal Article
LanguageEnglish
Published IEEE 01.04.2019
Subjects
Biological system modeling
Boolean functions
Computational modeling
Computational systems biology
Delays
Mathematical model
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Abstract A new linear approach is proposed to model the dynamics of asynchronous Boolean networks (ABNs). The continuous-time discrete-state model definition makes the ABN a suitable formulation to describe gene regulatory networks. The semi-tensor product of matrices is used as the algebraic tool for the linear formulation. The results on the dynamics of the ABN are elaborated with synthetic and biological examples.
AbstractList A new linear approach is proposed to model the dynamics of asynchronous Boolean networks (ABNs). The continuous-time discrete-state model definition makes the ABN a suitable formulation to describe gene regulatory networks. The semi-tensor product of matrices is used as the algebraic tool for the linear formulation. The results on the dynamics of the ABN are elaborated with synthetic and biological examples.
Author Deshpande, Anuj
Layek, Ritwik Kumar
Das, Haimabati
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crossref_primary_10_3390_math10203722
crossref_primary_10_1109_LCSYS_2020_3017645
crossref_primary_10_1109_TNSE_2023_3306038
crossref_primary_10_1016_j_nahs_2021_101054
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Snippet A new linear approach is proposed to model the dynamics of asynchronous Boolean networks (ABNs). The continuous-time discrete-state model definition makes the...
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SubjectTerms Biological system modeling
Boolean functions
Computational modeling
Computational systems biology
Delays
Mathematical model
Title A Linear Formulation of Asynchronous Boolean Networks
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