scholarly journals Stoichiometric network analysis of a reaction system with conservation constraints

2018 ◽  
Vol 28 (8) ◽  
pp. 083114 ◽  
Author(s):  
Željko Čupić ◽  
Stevan Maćešić ◽  
Katarina Novakovic ◽  
Slobodan Anić ◽  
Ljiljana Kolar-Anić
2012 ◽  
Vol 66 (5) ◽  
pp. 637-646 ◽  
Author(s):  
Stevan Macesic ◽  
Zeljko Cupic ◽  
Ljiljana Kolar-Anic

Self-regulation, achieved through positive (autocatalytic) or negative (autoinhibitory) feedback is commonly encountered in natural, technological and economic systems. The dynamic behavior of such systems is often complex and cannot be easily predicted, necessitating mathematical modelling and theoretical analyses. The aim of this work is to analyze the dynamics of a minimal model system with autocatalytic and autoinhibitory steps coupled through the same species, in order to understand under which critical condition the system loses stability and passes through an Andronov-Hopf bifurcation. The analysis used was improved stoichiometric network analysis (SNA) in combination with bifurcation and sensitivity analysis.


2003 ◽  
Vol 3 ◽  
pp. 319-341 ◽  
Author(s):  
Stefan Franzle ◽  
Bernd Markert

The biological application of stoichiometric network analysis (SNA) permits an understanding of tumour induction, carcinogenesis, and chemotherapy. Starting from the Biological System of the Elements, which provides a comprehensive treatment of the functions and distributions of chemical (trace) elements in biology, an attempt is made to interrelate the essential feature of biology and — regrettably — of tumour genesis by superimposing SNA reasoning on common features of all crucial biological processes. For this purpose, aspects, effects and drawbacks of autocatalysis (identical reproduction which can occur either under control or without control [in tumours]) are linked with the known facts about element distributions in living beings and about interference of metals with tumours (in terms of both chemotherapy and carcinogenesis). The essential role of autocatalysis in biology and the drawbacks of either controlled or spontaneous cell division can be used to understand crucial aspects of carcinogenesis and chemotherapy because SNA describes and predicts effects of autocatalysis, including phase effects that may be due to some kind of intervention. The SNA-based classifications of autocatalytic networks in cell biology are outlined here to identify new approaches to chemotherapy.


1988 ◽  
Vol 12 (1) ◽  
pp. 237-253 ◽  
Author(s):  
Bruce L. Clarke

2008 ◽  
Vol 112 (51) ◽  
pp. 13452-13457 ◽  
Author(s):  
Guy Schmitz ◽  
Ljiljana Z. Kolar-Anić ◽  
Slobodan R. Anić ◽  
Željko D. Čupić

2018 ◽  
Vol 20 (36) ◽  
pp. 23726-23739 ◽  
Author(s):  
David Hochberg ◽  
Josep M. Ribó

SNA extreme currents allow for the evaluation and understanding of entropy production of NESS in open system reaction networks.


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