1962
DOI: 10.1016/s0360-0564(08)60289-8
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The Structure and Analysis of Complex Reaction Systems

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Cited by 234 publications
(136 citation statements)
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“…1 are all real and nonpositive (7,8). We can rewrite the equation P i eq k ij ϭ P j eq k ji in a matrix form and then show…”
Section: Equilibrium and Symmetry Of The Third-order Time-correlationmentioning
confidence: 99%
See 1 more Smart Citation
“…1 are all real and nonpositive (7,8). We can rewrite the equation P i eq k ij ϭ P j eq k ji in a matrix form and then show…”
Section: Equilibrium and Symmetry Of The Third-order Time-correlationmentioning
confidence: 99%
“…In this unique situation, the reaction is at a chemical equilibrium. A biochemical reaction with oscillatory kinetics is necessarily nonequilibrium (7)(8)(9)(10). However, the converse is not true: A reaction in a nonequilibrium steady state (NESS) can be without oscillation.…”
mentioning
confidence: 99%
“…This paper is devoted to a qualitative analysis of how the properties of a network can be restricted so as to provide a variety of control mechanisms. Several other investigators have examined this very problem (2)(3)(4). Their considerations, which have been based on the dynamic consequences of physical constraints such as conservation of mass and positivity of concentrations of all species, or on the properties of the topological dynamics of appropriate vector fields, have not taken into account the possibility of regulation of enzyme activity through substrate dependency and allosteric control.…”
Section: Introductionmentioning
confidence: 99%
“…Az elsőrendű reakcióhálózatok (FCRN) vizsgálatával számos cikk [39][40][41][42][43][44][45][46][47][48][49][50][51] foglalkozik. Ennek oka abban rejlik, hogy látszólagos egyszerűségük dacára a reakciókinetika és a kémiai dinamika jónéhány effektusát (pl.…”
Section: Irodalmi áTtekintés 31 a Kémiai Reakcióhálózatok Irodalmi unclassified
“…[56]) esetére korlátozódik [39]. A kérdéses dolgozatban Wei és Prater megmutatta, hogy ha az együttható mátrix diagonalizálható, akkor a koncentráció-idő függvények a spektrálfelbontás segítségével számíthatók.…”
Section: Irodalmi áTtekintés 31 a Kémiai Reakcióhálózatok Irodalmi unclassified