Collective Behavior of a Population of Chemically Coupled Oscillators

Tóth, Rita; Taylor, Annette F.; Tinsley, Mark R.

doi:10.1021/jp060732z

Cited by 85 publications

(53 citation statements)

References 38 publications

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“…This family potentially includes quorum-sensing bacteria with oscillating genetic circuits (11,28), cAMP-secreting amoebae (29), as well as chemical systems that mimic cellular populations (30,31).…”

Section: Discussionmentioning

confidence: 99%

Dynamical quorum sensing: Population density encoded in cellular dynamics

Monte

d’Ovidio

Danø

et al. 2007

Proc. Natl. Acad. Sci. U.S.A.

208

213

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Mutual synchronization by exchange of chemicals is a mechanism for the emergence of collective dynamics in cellular populations. General theories exist on the transition to coherence, but no quantitative, experimental demonstration has been given. Here, we present a modeling and experimental analysis of cell-density-dependent glycolytic oscillations in yeast. We study the disappearance of oscillations at low cell density and show that this phenomenon occurs synchronously in all cells and not by desynchronization, as previously expected. This study identifies a general scenario for the emergence of collective cellular oscillations and suggests a quorum-sensing mechanism by which the cell density information is encoded in the intracellular dynamical state.collective dynamics ͉ glycolysis ͉ cell synchronization ͉ oscillations ͉ cell density

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Section: Discussionmentioning

confidence: 99%

Dynamical quorum sensing: Population density encoded in cellular dynamics

Monte

d’Ovidio

Danø

et al. 2007

Proc. Natl. Acad. Sci. U.S.A.

208

213

View full text Add to dashboard Cite

show abstract

“…11,12,16,17,19,36,[52][53][54][55][56][57][58][59][60][61][62][63][64] The results presented in this paper and the methods we and other authors have developed 18,31,32,65,66 can be applicable to the understanding of the underlying mechanisms that govern the dynamics in these systems.…”

mentioning

confidence: 82%

Dynamic mechanisms of generation of oscillatory cluster patterns in a globally coupled chemical system

Rotstein

2012

The Journal of Chemical Physics

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We use simulations and dynamical systems tools to investigate the mechanisms of generation of phase-locked and localized oscillatory cluster patterns in a globally coupled Oregonator model where the activator receives global feedback from the inhibitor, mimicking experimental results observed in the photosensitive Belousov-Zhabotinsky reaction. A homogeneous two-cluster system (two clusters with equal cluster size) displays antiphase patterns. Heterogenous two-cluster systems (two clusters with different sizes) display both phase-locked and localized patterns depending on the parameter values. In a localized pattern the oscillation amplitude of the largest cluster is roughly an order of magnitude smaller than the oscillation amplitude of the smaller cluster, reflecting the effect of self-inhibition exerted by the global feedback term. The transition from phase-locked to localized cluster patterns occurs as the intensity of global feedback increases. Three qualitatively different basic mechanisms, described previously for a globally coupled FitzHugh-Nagumo model, are involved in the generation of the observed patterns. The swing-and-release mechanism is related to the canard phenomenon (canard explosion of limit cycles) in relaxation oscillators. The hold-and-release and hold-and-escape mechanisms are related to the release and escape mechanisms in synaptically connected neural models. The methods we use can be extended to the investigation of oscillatory chemical reactions with other types of non-local coupling.

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“…[10] Quorum transition and complex organizing centers were investigated in groups of oscillatory BZ beads. [11] Electrochemical systems produce a wide range of dynamical behavior [12] because the kinetic requirements related to self-accelerating (e.g. autocatalytic) processes can be satisfied through common reactions, for example, passivation, potential-dependent desorption of a catalyst, or through the Frumkin effect.…”

Section: Introductionmentioning

confidence: 99%

Spatially Distributed Current Oscillations with Electrochemical Reactions in Microfluidic Flow Cells

et al. 2015

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The formation of spatiotemporal patterns is investigated by using a chemical reaction on the surface of a high-aspect-ratio metal electrode positioned in a flow channel. A partial differential equation model is formulated for nickel dissolution in sulfuric acid in a microfluidic flow channel. The model simulations predict oscillatory patterns that are spatially distributed on the electrode surface; the downstream portion of the metal surface exhibits large-amplitude, nonlinear oscillations of dissolution rates, whereas the upstream portion displays small-amplitude, harmonic oscillations with a phase delay. The features of the dynamical response can be interpreted by the dependence of local dynamics on the widely varying surface conditions and the presence of strong coupling. The patterns can be observed for both contiguous and segmented metal surfaces. The existence of spatially distributed current oscillations is confirmed in experiments with Ni electrodissolution in a microfluidic device. The results show the impact of a widely heterogeneous environment on the types of patterns of chemical reaction rates.

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Collective Behavior of a Population of Chemically Coupled Oscillators

Cited by 85 publications

References 38 publications

Dynamical quorum sensing: Population density encoded in cellular dynamics

Dynamical quorum sensing: Population density encoded in cellular dynamics

Dynamic mechanisms of generation of oscillatory cluster patterns in a globally coupled chemical system

Spatially Distributed Current Oscillations with Electrochemical Reactions in Microfluidic Flow Cells

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