Mixed-mode and quasiperiodic oscillations in the peroxidase-oxidase reaction

Hauck, T.; Schneider, F. W.

doi:10.1021/j100104a021

Cited by 60 publications

(78 citation statements)

References 4 publications

(6 reference statements)

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“…The highly non-linear regulatory mechanisms of control in cells arise from cooperativity and elicit a vast array of dynamics from equilibrium to periodic, multistable, multirhythmic, complex and chaotic oscillations [2]. There is increasing evidence of the importance of such varied dynamics in models of circadian, glycolytic, calcium, peroxidase-oxidase and neuronal rhythms [2][3][4][5][6][7][8][9]. Although the first experimental observations of periodic oscillations in cellular dynamics were made only in the 60s, in the intermediates of the glycolytic pathway, rhythmic behaviour of living systems has been well-known for a long time [10].…”

Section: Introductionmentioning

confidence: 99%

Synchronization in multicell systems exhibiting dynamic plasticity

Suguna

Sinha

2008

Pramana - J Phys

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Collective behaviour in multicell systems arises from exchange of chemicals/signals between cells and may be different from their intrinsic behaviour. These chemicals are products of regulated networks of biochemical pathways that underlie cellular functions, and can exhibit a variety of dynamics arising from the non-linearity of the reaction processes. We have addressed the emergent synchronization properties of a ring of cells, diffusively coupled by the end product of an intracellular model biochemical pathway exhibiting non-robust birhythmic behaviour. The aim is to examine the role of intercellular interaction in stabilizing the non-robust dynamics in the emergent collective behaviour in the ring of cells. We show that, irrespective of the inherent frequencies of individual cells, depending on the coupling strength, the collective behaviour does synchronize to only one type of oscillations above a threshold number of cells. Using two perturbation analyses, we also show that this emergent synchronized dynamical state is fairly robust under external perturbations. Thus, the inherent plasticity in the oscillatory phenotypes in these model cells may get suppressed to exhibit collective dynamics of a single type in a multicell system, but environmental influences can sometimes expose this underlying plasticity in its collective dynamics.

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Section: Introductionmentioning

confidence: 99%

Synchronization in multicell systems exhibiting dynamic plasticity

Suguna

Sinha

2008

Pramana - J Phys

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“…The PO reaction may also exhibit complex periodic oscillations, quasiperiodicity and chaos when other aromatic cofactors such as 2,4-dichlorophenol (8,14,20), 4-hydroxybenzoic acid (10) or vanillin (12) are added to the reaction mixture. However, we were not able to demonstrate such behavior when melatonin was used as the aromatic cofactor.…”

Section: Resultsmentioning

confidence: 99%

Melatonin Activates the Peroxidase–Oxidase Reaction and Promotes Oscillations

Olsen¹,

Lunding²,

Lauritsen³

et al. 2001

Biochemical and Biophysical Research Communications

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“…In common with the glycolysis and BZ experiments, the reaction medium was well stirred, and the system was held far from equilibrium through the continuous infusion of NADH and by diffusion of oxygen across the gas-liquid interface, which was in contact with a reservoir of fixed oxygen partial pressure. Further experiments have shown that complex periodic [13] oscillations can be obtained in a continuous-flow well-stirred tank reactor, and Geest et al [14] have demonstrated a route to chaos via perioddoubling as a control parameter is varied. Common to several possible mechanisms of the PO reaction is the cyclic autocatalysis of the NAD radical, involving several oxidation states of the enzyme [15].…”

Section: Non-linear Kineticsmentioning

confidence: 99%

Implications of enzyme kinetics

McDonald

2003

Biochemical Society Transactions

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Of the many examples of oscillatory kinetic behaviour known, several are briefly reviewed, including those of glycolysis, the peroxidase-oxidase reaction and oscillations in cellular calcium concentration. It is shown that simple mathematical models employing allosteric rate laws are sufficient to explain the instability of the steady state and the appearance of sustained oscillations. The cAMP-signalling systems of cellular slime moulds and the dynamics of intracellular calcium oscillations illustrate the importance of such oscillophores to inter- and intra-cellular communication and differentiation.

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Mixed-mode and quasiperiodic oscillations in the peroxidase-oxidase reaction

Cited by 60 publications

References 4 publications

Synchronization in multicell systems exhibiting dynamic plasticity

Synchronization in multicell systems exhibiting dynamic plasticity

Melatonin Activates the Peroxidase–Oxidase Reaction and Promotes Oscillations

Implications of enzyme kinetics

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