In this paper, the delay differential equations of Gene expression models with mechanisms of signal-dependent transcription regulation are solved and studied in two cases: When there is (i) competition and (ii) without competition(non-competition) for Deoxy ribo Nucleic Acid (DNA) regulatory binding sites in a cell. Also, we studied the effect of both increasing the inhibitor or decreasing the abundance of the activator (inhibition mechanism), and decreasing the inhibitor or increasing the abundance of the activator (activator mechanism) on the steady-state of the solutions. A new analytical approximation approach derived from Taylor series expansion is used for solving the delay differential equations of gene expression models. From the an...
A chemical kinetics model is described for the regulation of gene expression by the progressive bind...
AbstractThe dynamic process of cell fate specification is regulated by networks of regulatory genes....
Although the transcriptional regulation of gene expression has been a subject of intense experimenta...
Abstract. This paper suggests a mathematical framework to study gene reg-ulatory networks with time-...
Title and subtitle Delay-dependent Stability of Genetic Regulatory Networks (Fördröjning och stabili...
Complex regulation of biochemical pathways in a cell is brought about by the interaction of simpler ...
We discuss different mathematical models of gene regulatory networks as relevant to the onset and de...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
International audienceA fundamental step in synthetic biology and systems biology is to derive appro...
The study of time delays and their influence on gene network dynamics is the central topic of this t...
Abstract: A method to study asymptotic properties of solutions to systems of differential equations ...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
Copyright © 2015 K. Parmar et al. This is an open access article distributed under the Creative Comm...
Genes are the fundamental units of biological organisms. Genes encode proteins which carryout variou...
International audienceDelays appear in the dynamics of many systems due to non-vanishing reaction ti...
A chemical kinetics model is described for the regulation of gene expression by the progressive bind...
AbstractThe dynamic process of cell fate specification is regulated by networks of regulatory genes....
Although the transcriptional regulation of gene expression has been a subject of intense experimenta...
Abstract. This paper suggests a mathematical framework to study gene reg-ulatory networks with time-...
Title and subtitle Delay-dependent Stability of Genetic Regulatory Networks (Fördröjning och stabili...
Complex regulation of biochemical pathways in a cell is brought about by the interaction of simpler ...
We discuss different mathematical models of gene regulatory networks as relevant to the onset and de...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
International audienceA fundamental step in synthetic biology and systems biology is to derive appro...
The study of time delays and their influence on gene network dynamics is the central topic of this t...
Abstract: A method to study asymptotic properties of solutions to systems of differential equations ...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
Copyright © 2015 K. Parmar et al. This is an open access article distributed under the Creative Comm...
Genes are the fundamental units of biological organisms. Genes encode proteins which carryout variou...
International audienceDelays appear in the dynamics of many systems due to non-vanishing reaction ti...
A chemical kinetics model is described for the regulation of gene expression by the progressive bind...
AbstractThe dynamic process of cell fate specification is regulated by networks of regulatory genes....
Although the transcriptional regulation of gene expression has been a subject of intense experimenta...