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Analysis of a gene expression model

Abstract

We study a mathematical model of gene transcription and protein synthesis with negative feedback. We consider a system of equations taking into account the number of active binding sites, the way in which dimers bind to DNA and time delay in translation process. For a simplified model that consist of three ordinary differential equations with time delay we derive conditions for stability of the positive steady state and for the existence of the Hopf bifurcation. We compare obtained results with classical model proposed by Monk in 2003.

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Details

Category:
Conference activity
Type:
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:
Proceedings of the XXIII National Conference Applications of Mathematics in Biology and Medicine strony 15 - 21
Language:
English
Publication year:
2017
Bibliographic description:
Bartłomiejczyk A., Bodnar M.: Analysis of a gene expression model// Proceedings of the XXIII National Conference Applications of Mathematics in Biology and Medicine/ ed. Urszula Foryś, Jarosław Śmieja Jugowice: , 2017, s.15-21
Verified by:
Gdańsk University of Technology

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