Introduction to Focus Issue: Intracellular Ca2+ Dynamics—A Change of Modeling Paradigm?

Falcke, Martin

doi:10.1063/1.3234259

Cited by 11 publications

(10 citation statements)

References 27 publications

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“…This interpretation of the factors that shape the observed distribution can be tested with simulations of some of the stochastic models of intracellular Ca signals reported in the literature (see e.g. [33] and references therein). They can also be tested experimentally.…”

Section: Discussionmentioning

confidence: 91%

“…It is currently clear that stochastic effects are not only relevant for local release events but are a fundamental aspect of the Ca dynamics for the full range of observed signals, including waves [29] – [32] . More information on stochastic models of Ca signals can be found in a recent focus issue on the subject [33] . Simulations of these stochastic dynamic models could be used to probe the main findings of the present paper.…”

Section: Introductionmentioning

confidence: 99%

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Intra-Cluster Percolation of Calcium Signals

Solovey

Dawson

2010

PLoS ONE

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Calcium signals are involved in a large variety of physiological processes. Their versatility relies on the diversity of spatio-temporal behaviors that the calcium concentration can display. Calcium entry through inositol 1,4,5-trisphosphate (IP) receptors (IPR's) is a key component that participates in both local signals such as “puffs” and in global waves. IPR's are usually organized in clusters on the membrane of the endoplasmic reticulum and their spatial distribution has important effects on the resulting signal. Recent high resolution observations [1] of Ca puffs offer a window to study intra-cluster organization. The experiments give the distribution of the number of IPR's that open during each puff without much processing. Here we present a simple model with which we interpret the experimental distribution in terms of two stochastic processes: IP binding and unbinding and Ca-mediated inter-channel coupling. Depending on the parameters of the system, the distribution may be dominated by one or the other process. The transition between both extreme cases is similar to a percolation process. We show how, from an analysis of the experimental distribution, information can be obtained on the relative weight of the two processes. The largest distance over which Ca-mediated coupling acts and the density of IP-bound IPR's of the cluster can also be estimated. The approach allows us to infer properties of the interactions among the channels of the cluster from statistical information on their emergent collective behavior.

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Section: Discussionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Intra-Cluster Percolation of Calcium Signals

Solovey

Dawson

2010

PLoS ONE

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“…The dynamic behavior can be stimulated by inositol 1,4,5-trisphosphate (InsP 3 ), and is pH and potassium dependent, showing many similarities to other internal storage compartments involved in Ca 2+ release and uptake [29]. At the cellular level, Ca 2+ oscillations are also observed in both space and time, and the relationship between these dynamic properties, signaling and coupled biochemical pathways, is the subject of both experimental and theoretical study [2, 30–34]. At the cellular level, Ca 2+ dynamics have been evaluated using deterministic, stochastic, and chaotic models [30].…”

Section: Introductionmentioning

confidence: 99%

“…At the cellular level, Ca 2+ oscillations are also observed in both space and time, and the relationship between these dynamic properties, signaling and coupled biochemical pathways, is the subject of both experimental and theoretical study [2, 30–34]. At the cellular level, Ca 2+ dynamics have been evaluated using deterministic, stochastic, and chaotic models [30]. …”

Section: Introductionmentioning

confidence: 99%

Observations of calcium dynamics in cortical secretory vesicles

et al. 2012

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SUMMARY Calcium (Ca2+) dynamics were evaluated in fluorescently labeled sea urchin secretory vesicles using confocal microscopy. 71% of the vesicles examined exhibited one or more transient increases in the fluorescence signal that was damped in time. The detection of transient increases in signal was dependent upon the affinity of the fluorescence indicator; the free Ca2+ concentration in the secretory vesicles was estimated to be in the range of ~10 – 100 μM. Non-linear stochastic analysis revealed the presence of extra variance in the Ca2+ dependent fluorescence signal. This noise process increased linearly with the amplitude of the Ca2+ signal. Both the magnitude and spatial properties of this noise process were dependent upon the activity of vesicle p-type (Cav2.1) Ca2+ channels. Blocking the p-type Ca2+ channels with ω-agatoxin decreased signal variance, and altered the spatial noise pattern within the vesicle. These fluorescence signal properties are consistent with vesicle Ca2+ dynamics and not simply due to obvious physical properties such as gross movement artifacts or pH driven changes in Ca2+ indicator fluorescence. The results suggest that the free Ca2+ content of cortical secretory vesicles is dynamic; this property may modulate the exocytotic fusion process.

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“…Martin Falcke group 13 14 25 26 27 28 29 30 31 32 33 34 35 has done much research about ICO. They have studied a discrete stochastic model for calcium dynamics in living cells 25 , spatial and temporal structures in intracellular Ca 2+ dynamics caused by fuctuations 26 , and key characteristics of Ca 2+ puffs in deterministic and stochastic frameworks 30 .…”

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confidence: 99%

Role of time delay on intracellular calcium dynamics driven by non-Gaussian noises

Duan

Zeng

2016

Sci Rep

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Effect of time delay (τ) on intracellular calcium dynamics with non-Gaussian noises in transmission processes of intracellular Ca2+ is studied by means of second-order stochastic Runge-Kutta type algorithm. By simulating and analyzing time series, normalized autocorrelation function, and characteristic correlation time of cytosolic and calcium store’s Ca2+ concentration, the results exhibit: (i) intracellular calcium dynamics’s time coherence disappears and stability strengthens as τ → 0.1s; (ii) for the case of τ < 0.1s, the normalized autocorrelation functions of cytosolic and calcium store’s Ca2+ concentration show damped motion when τ is very short, but they trend to a level line as τ → 0.1s, and for the case of τ > 0.1s, they show different variation as τ increases, the former changes from underdamped motion to a level line, but the latter changes from damped motion to underdamped motion; and (iii) at the moderate value of time delay, reverse resonance occurs both in cytosol and calcium store.

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Introduction to Focus Issue: Intracellular Ca2+ Dynamics—A Change of Modeling Paradigm?

Cited by 11 publications

References 27 publications

Intra-Cluster Percolation of Calcium Signals

Intra-Cluster Percolation of Calcium Signals

Observations of calcium dynamics in cortical secretory vesicles

Role of time delay on intracellular calcium dynamics driven by non-Gaussian noises

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