Global attractivity in a model of genetic regulatory system with delay

2014 ◽  
Vol 232 ◽  
pp. 411-415 ◽  
Author(s):  
Shanshan Chen ◽  
Junjie Wei
2018 ◽  
Vol 28 (1) ◽  
pp. 013121 ◽  
Author(s):  
Hui Wang ◽  
Xiujun Cheng ◽  
Jinqiao Duan ◽  
Jürgen Kurths ◽  
Xiaofan Li

Open Physics ◽  
2008 ◽  
Vol 6 (1) ◽  
Author(s):  
Fedor Šrobár

AbstractPresence of feedback mechanisms, both positive and negative, in the gene regulation systems is generally appreciated. The present study proposes a diagrammatic representation of these phenomena that affords their exact formulation and reveals some new facts. Topology of feedback relationships is defined by diagram configuration and quantitative evaluation is afforded by analytical apparatus coming with the diagrams. In particular, criterion for occurrence of bistability and synergy of positive and negative feedback are described in exact manner using the concept of transmission functions associated with diagram edges. The approach is demonstrated on genetic regulatory system comprising two genes whose transcription is controlled by activator and repressor proteins mutually competing for binding to the same responsive element of the DNA.


2006 ◽  
Vol 14 (02) ◽  
pp. 219-229 ◽  
Author(s):  
IVAN IVANOV ◽  
EDWARD R. DOUGHERTY

Selecting an appropriate mathematical model to describe the dynamical behavior of a genetic regulatory network plays an important part in discovering gene regulatory mechanisms. Whereas fine-scale models can in principle provide a very accurate description of the real genetic regulatory system, one must be aware of the availability and quality of the data used to infer such models. Consequently, pragmatic considerations motivate the selection of a model possessing minimal complexity among those capable of capturing the level of real gene regulation being studied, particularly in relation to the prediction capability of the model. This paper compares fine-scale stochastic-differential-equation models with coarse-scale discrete models in the context of currently available data and with respect to their description of switch-like behavior among specific groups of genes.


Physics Open ◽  
2021 ◽  
Vol 6 ◽  
pp. 100062
Author(s):  
Katsumi Sakata ◽  
Toshiyuki Saito ◽  
Hajime Ohyanagi ◽  
Ramesh Katam ◽  
Setsuko Komatsu

Sign in / Sign up

Export Citation Format

Share Document