Random Network Based Dynamic Analysis for Biochemical Reaction System

2012 ◽  
Vol 10 (1) ◽  
pp. 554-558
Author(s):  
Shu-Qiang Wang ◽  
Han-Xiong Li
2002 ◽  
Vol 16 (25) ◽  
pp. 923-935
Author(s):  
QI OUYANG ◽  
KAI SUN ◽  
HONGLI WANG

We report our numerical studies on the microscopic self-organizations of a reaction system in three types of networks: a regular network, a small-world network, and a random network as well as on a regular lattice. Our simulation results show that the topology of the network has an important effect on the communication among reaction molecules, and plays an important role in microscopic self-organization. The correlation length among reacting molecules in a random or a small-world network is much shorter compared with that in the regular network. As a result, it is much easier to obtain a microscopic self-organization in a small-world or a random network. A phase transition from a stochastic state to a synchronized state was observed when the randomness of a small-world network was increased. We also demonstrate that good synchronization activities of enzymatic turnover cycles can be developed on a regular lattice when the correlation length created by the fast diffusion of regulatory particles is large enough.


2006 ◽  
Vol 39 (2) ◽  
pp. 165-170 ◽  
Author(s):  
Irene Otero-Muras ◽  
Gábor Szederkényi ◽  
Antonio A. Alonso ◽  
Katalin M. Hangos

2008 ◽  
Vol 79 (4) ◽  
pp. 999-1009 ◽  
Author(s):  
Irene Otero-Muras ◽  
Gábor Szederkényi ◽  
Katalin M. Hangos ◽  
Antonio A. Alonso

2011 ◽  
Vol 396-398 ◽  
pp. 904-907
Author(s):  
Jian Chen ◽  
Hong Xiang Zhu ◽  
Li Jun Wang ◽  
Nan Nan Xia ◽  
Shuang Fei Wang

In this paper, preliminary dynamics analysis of synthesis of polyamide polyamine compounds was deduced by kinetic equation. The dynamic analysis shows that the reaction of polyethylene polyamines with adipic acid belongs to typical three reactions. In the kinetic equation, the concentration of carboxyl failed to reflect the ability of provided protons that reaction system to amine.


2011 ◽  
Vol 21 (6) ◽  
pp. 067006 ◽  
Author(s):  
Mitsuhiro Shikida ◽  
Noriyuki Inagaki ◽  
Mina Okochi ◽  
Hiroyuki Honda ◽  
Kazuo Sato

2015 ◽  
Vol 19 (4) ◽  
pp. 1249-1253 ◽  
Author(s):  
Shuqiang Wang ◽  
Yanyan Shen ◽  
Jinxing Hu ◽  
Ning Li ◽  
Dewei Zeng

In this study, the stochastic biochemical reaction model is proposed based on the law of mass action and complex network theory. The dynamics of biochemical reaction system is presented as a set of non-linear differential equations and analyzed at the molecular-scale. Given the initial state and the evolution rules of the biochemical reaction system, the system can achieve homeostasis. Compared with random graph, the biochemical reaction network has larger information capacity and is more efficient in information transmission. This is consistent with theory of evolution.


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