Metabolic Synchronization by Traveling Waves in Yeast Cell Layers

Schütze, Jana; Mair, Thomas; Hauser, M.; Falcke, Martin; Wolf, Jana

doi:10.1016/j.bpj.2010.12.3704

Cited by 28 publications

(32 citation statements)

References 21 publications

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“…The systems with such property may denote a broad class of the systems such as chemical oscillators BZ particles immersed in catalyst-free solutions [29], genetically engineered bacteria [30], yeast cells [31], and social amoeba Dictyostelium discoideum [32]. Therefore, we expect that chimera states are highly possible in biological or chemical systems which can be modeled by RD equations like Eq.…”

mentioning

confidence: 99%

“…(1) from a dynamical point as a model that describes a large number of oscillators that communicate with each other via a diffusive environment. Such kind of models may be related to various systems such as chemical oscillators [29], genetically engineered bacteria [30], yeast cells [31], and social amoeba Dictyostelium discoideum [32]. The second important aspect is the time scale τ .…”

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confidence: 99%

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Spiral wave chimeras in locally coupled oscillator systems

Dierckx

2016

Phys. Rev. E

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The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. In this work, we show the existence of (inwardly) rotating spiral wave chimeras in the three-component reaction-diffusion systems where each element is locally coupled by diffusion. A transition from spiral waves with the smooth core to spiral wave chimeras is found as we change the local dynamics of the system or as we gradually increase the diffusion coefficient of the activator. Our findings on the spiral wave chimera in the reaction-diffusion systems suggest that spiral chimera states may be found in chemical and biological systems that can be modeled by a large population of oscillators indirectly coupled via a diffusive environment.

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confidence: 99%

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confidence: 99%

Spiral wave chimeras in locally coupled oscillator systems

Dierckx

2016

Phys. Rev. E

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“…The catalyst PFK is activated by the product ADP, thus positive feedback ensues. Oscillations and waves have been obtained in suspensions of yeast cells in closed and open flow reactors, and in cell extracts, but to date no oscillations have been reported in systems with the PFK enzyme alone [2,3].…”

Section: Introductionmentioning

confidence: 99%

Kinetics of the urea–urease clock reaction with urease immobilized in hydrogel beads

Bubanja

Bánsági

Taylor

2017

Reac Kinet Mech Cat

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Feedback driven by enzyme catalyzed reactions occurs widely in biology and has been well characterized in single celled organisms such as yeast. There are still few examples of robust enzyme oscillators in vitro that might be used to study nonlinear dynamical behavior. One of the simplest is the urea-urease reaction that displays autocatalysis driven by the increase in pH accompanying the production of ammonia. A clock reaction was obtained from low to high pH in batch reactor and bistability and oscillations were reported in a continuous flow rector. However, the oscillations were found to be irreproducible and one contributing factor may be the lack of stability of the enzyme in solution at room temperature. Here, we investigated the effect of immobilizing urease in thiol-poly(ethylene glycol) acrylate (PEGDA) hydrogel beads, prepared using emulsion polymerization, on the ureaurease reaction. The resultant mm-sized beads were found to reproduce the pH clock and, under the conditions employed here, the stability of the enzyme was increased from hours to days.

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“…On the other hand, the present work is also an essential complement to QS study in a population of oscillators coupled via a heterogeneous environment. For instance, in pervious study of heterogeneous environment, they usually were concentrated on the formation of the spatiotemporal patterns [27][28][29][30], and the fundamental problems such as the onset of synchronization and its dependence of the density is still largely understudied. What's more, they only consider the periodic oscillator rather than the chaotic case [28][29][30], the latter is closer to the natural systems.…”

Section: Resultsmentioning

confidence: 99%

Quorum Sensing in Populations of Spatially Extended Chaotic Oscillators Coupled Indirectly via a Heterogeneous Environment

Cao

2017

J Nonlinear Sci

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Many biological and chemical systems could be modeled by a population of oscillators coupled indirectly via a dynamical environment. Essentially, the environment by which the individual elements communicate is heterogeneous. Nevertheless, most of previous works considered the homogeneous case only. Here, we investigated the dynamical behaviors in a population of spatially distributed chaotic oscillators immersed in a heterogeneous environment. Various dynamical synchronization states such as oscillation death, phase synchronization, and complete synchronized oscillation as well as their transitions were found. More importantly, we uncovered a non-traditional quorum sensing transition: increasing the density would first lead to collective oscillation from oscillation quench, but further increasing the population density would lead to degeneration from complete synchronization to phase synchronization or even from phase synchronization to desynchronization. The underlying mechanism of this finding was attributed to the dual roles played by the population density. Further more, by treating the indirectly coupled systems effectively to the system with directly local coupling, we applied the master stability function approach to predict the occurrence of the complete synchronized oscillation, which were in agreement with the direct numerical simulations of the full system. The possible candidates of the experimental realization on our model was also discussed.

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Metabolic Synchronization by Traveling Waves in Yeast Cell Layers

Cited by 28 publications

References 21 publications

Spiral wave chimeras in locally coupled oscillator systems

Spiral wave chimeras in locally coupled oscillator systems

Kinetics of the urea–urease clock reaction with urease immobilized in hydrogel beads

Quorum Sensing in Populations of Spatially Extended Chaotic Oscillators Coupled Indirectly via a Heterogeneous Environment

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