Chaos
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Unpinning of a spiral wave anchored around a circular obstacle by an external wave train: Common aspects of a chemical reaction and cardiomyocyte tissue
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Masanobu Tanaka, Akihiro Isomura, Marcel Horning, Hiroyuki Kitahata, Konstantin Agladze et al. It is well known that spiral waves are often stabilized by anchoring to a local heterogeneity (pinning) and that such pinned waves are rather difficult to eliminate. In the present report, we show that pinned spiral waves can be eliminated through collision with a wave train arriving from the outer ... [Chaos 19, 043114 (2009)] published Thu Nov 19, 2009. (Source: Chaos)
Source: Chaos - November 20, 2009 Category: Physics Source Type: journals
Synchronization in coupled time-delayed systems with parameter mismatch and noise perturbation
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Yongzheng Sun and Jiong Ruan In this paper, a design of coupling and effective sufficient condition for stable complete synchronization and antisynchronization of a class of coupled time-delayed systems with parameter mismatch and noise perturbation are established. Based on the LaSalle-type invariance principle for stochastic ... [Chaos 19, 043113 (2009)] published Wed Nov 11, 2009. (Source: Chaos)
Source: Chaos - November 12, 2009 Category: Physics Source Type: journals
Chaoticity of the blood cell production system
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We present a structured model of stem cells given by a partial differential equation. This equation generates a semiflow acting on the set of densities. We show that this semiflow possesses an invariant exact measure positive on open sets. From this it follows that the system is chaotic, i.e., it ha ... [Chaos 19, 043112 (2009)] published Fri Nov 6, 2009. (Source: Chaos)
Source: Chaos - November 7, 2009 Category: Physics Source Type: journals
Bifurcation and chaos in spin-valve pillars in a periodic applied magnetic field
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S. Murugesh and M. Lakshmanan We study the bifurcation and chaos scenario of the macromagnetization vector in a homogeneous nanoscale-ferromagnetic thin film of the type used in spin-valve pillars. The underlying dynamics is described by a generalized LandauLifshitzGilbert (LLG) equation. The LLG equation has an especially appea ... [Chaos 19, 043111 (2009)] published Tue Nov 3, 2009. (Source: Chaos)
Source: Chaos - November 4, 2009 Category: Physics Source Type: journals
Erratum: A partial synchronization theorem [Chaos 18, 037107 (2008)]
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Alexander Yu. Pogromsky This erratum corrects a mistake previously published by the author [A. Y. Pogromsky, Chaos 18, 037107 (2008)]. ... [Chaos 19, 049901 (2009)] published Tue Nov 3, 2009. (Source: Chaos)
Source: Chaos - November 4, 2009 Category: Physics Source Type: journals
Accurate noise projection for reduced stochastic epidemic models
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Eric Forgoston, Lora Billings, and Ira B. Schwartz We consider a stochastic susceptible-exposed-infected-recovered (SEIR) epidemiological model. Through the use of a normal form coordinate transform, we are able to analytically derive the stochastic center manifold along with the associated, reduced set of stochastic evolution equations. The transfo ... [Chaos 19, 043110 (2009)] published Thu Oct 29, 2009. (Source: Chaos)
Source: Chaos - October 30, 2009 Category: Physics Source Type: journals
Introduction: Sixth Annual Gallery of Nonlinear Images (Pittsburgh, Pennsylvania, 2009)
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Predrag Cvitanovic, Karen E. Daniels, Arshad Kudrolli, Wolfgang Losert, and Sidney Redner Abstract not available. [Chaos 19, 041101 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Force network ensemble for the triangular lattice: A tale of tiles
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Brian P. Tighe, Adrianne R. T. van Eerd, and Thijs J. H. Vlugt Abstract not available. [Chaos 19, 041107 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
X-ray computerized tomography scan of crumpled aluminum sheet
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Anne Dominique Cambou and Narayanan Menon Abstract not available. [Chaos 19, 041109 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
The adventures of Dicty, the Dictyostelium cell
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Meghan Driscoll, Rael Kopace, Linjie Li, Colin McCann, John Watts et al. Abstract not available. [Chaos 19, 041110 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Visualization of communities in networks
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Amanda L. Traud, Christina Frost, Peter J. Mucha, and Mason A. Porter Abstract not available. [Chaos 19, 041104 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Fixed points, stable manifolds, weather regimes, and their predictability
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Bruno Deremble, Fabio D'Andrea, and Michael Ghil In a simple, one-layer atmospheric model, we study the links between low-frequency variability and the model's fixed points in phase space. The model dynamics is characterized by the coexistence of multiple weather regimes. To investigate the transitions from one regime to another, we focus on the i ... [Chaos 19, 043109 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Homogenous dislocation nucleation
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Asad Hasan and Craig E. Maloney Abstract not available. [Chaos 19, 041112 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Superlattice patterns in forced thermal convection
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G. Seiden, S. Weiss, and E. Bodenschatz Abstract not available. [Chaos 19, 041102 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Unstable Kolmogorov flow in granular matter
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Klaus Roeller, Jurgen Vollmer, and Stephan Herminghaus Abstract not available. [Chaos 19, 041106 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
VORO++: A three-dimensional Voronoi cell library in C++
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Chris H. Rycroft Abstract not available. [Chaos 19, 041111 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
The mayonnaise droplet
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D. Terwagne, N. Mack, S. Dorbolo, T. Gilet, J.-Y. Raty et al. Abstract not available. [Chaos 19, 041105 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Rupture and clustering in granular streams
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John R. Royer, Loreto Oyarte, Matthias E. Mobius, and Heinrich M. Jaeger Abstract not available. [Chaos 19, 041103 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Generating ensembles of two-dimensional granular configurations
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James G. Puckett, Frederic Lechenault, and Karen E. Daniels Abstract not available. [Chaos 19, 041108 (2009)] published Tue Oct 27, 2009. (Source: Chaos)
Source: Chaos - October 28, 2009 Category: Physics Source Type: journals
Transport properties in nontwist area-preserving maps
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J. D. Szezech, Jr., I. L. Caldas, S. R. Lopes, R. L. Viana, and P. J. Morrison Nontwist systems, common in the dynamical descriptions of fluids and plasmas, possess a shearless curve with a concomitant transport barrier that eliminates or reduces chaotic transport, even after its breakdown. In order to investigate the transport properties of nontwist systems, we analyze the ba ... [Chaos 19, 043108 (2009)] published Fri Oct 23, 2009. (Source: Chaos)
Source: Chaos - October 24, 2009 Category: Physics Source Type: journals
The impact of risk-averse operation on the likelihood of extreme events in a simple model of infrastructure
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B. A. Carreras, D. E. Newman, Ian Dobson, and Matthew Zeidenberg A simple dynamic model of agent operation of an infrastructure system is presented. This system evolves over a long time scale by a daily increase in consumer demand that raises the overall load on the system and an engineering response to failures that involves upgrading of the components. The syst ... [Chaos 19, 043107 (2009)] published Tue Oct 20, 2009. (Source: Chaos)
Source: Chaos - October 21, 2009 Category: Physics Source Type: journals
The compass rose pattern in electricity prices
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Jonathan A. Batten and Mahmoud Hamada The compass rose pattern is known to appear in the phase portraits, or scatter diagrams, of the high-frequency returns of financial series. We first show that this pattern is also present in the returns of spot electricity prices. Early researchers investigating these phenomena hoped that these patt ... [Chaos 19, 043106 (2009)] published Fri Oct 16, 2009. (Source: Chaos)
Source: Chaos - October 17, 2009 Category: Physics Source Type: journals
Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action
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Seth A. Marvel, Renato E. Mirollo, and Steven H. Strogatz Systems of N identical phase oscillators with global sinusoidal coupling are known to display low-dimensional dynamics. Although this phenomenon was first observed about 20 years ago, its underlying cause has remained a puzzle. Here we expose the structure working behind the scenes of these systems ... [Chaos 19, 043104 (2009)] published Thu Oct 15, 2009. (Source: Chaos)
Source: Chaos - October 16, 2009 Category: Physics Source Type: journals
Two routes to the one-dimensional discrete nonpolynomial Schrodinger equation
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G. Gligoric, A. Maluckov, L. Salasnich, B. A. Malomed, and Lj. Hadzievski The BoseEinstein condensate (BEC), confined in a combination of the cigar-shaped trap and axial optical lattice, is studied in the framework of two models described by two versions of the one-dimensional (1D) discrete nonpolynomial Schrodinger equation (NPSE). Both models are derived from the three- ... [Chaos 19, 043105 (2009)] published Thu Oct 15, 2009. (Source: Chaos)
Source: Chaos - October 16, 2009 Category: Physics Source Type: journals
Permutations and time series analysis
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Jose S. Canovas and Antonio Guillamon The main aim of this paper is to show how the use of permutations can be useful in the study of time series analysis. In particular, we introduce a test for checking the independence of a time series which is based on the number of admissible permutations on it. The main improvement in our tests is ... [Chaos 19, 043103 (2009)] published Tue Oct 13, 2009. (Source: Chaos)
Source: Chaos - October 14, 2009 Category: Physics Source Type: journals
Chaos and crises in a model for cooperative hunting: A symbolic dynamics approach
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Jorge Duarte, Cristina Januario, Nuno Martins, and Josep Sardanyes In this work we investigate the population dynamics of cooperative hunting extending the McCann and Yodzis model for a three-species food chain system with a predator, a prey, and a resource species. The new model considers that a given fraction sigma of predators cooperates in prey's hunting, while ... [Chaos 19, 043102 (2009)] published Mon Oct 12, 2009. (Source: Chaos)
Source: Chaos - October 13, 2009 Category: Physics Source Type: journals
Discrete instability in the DNA double helix
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Conrad Bertrand Tabi, Alidou Mohamadou, and Timoleon Crepin Kofane Modulational instability (MI) is explored in the framework of the base-rotor model of DNA dynamics. We show, in fact, that the helicoidal coupling introduced in the spin model of DNA reduces the system to a modified discrete sine-Gordon (sG) equation. The MI criterion is thus modified and displays i ... [Chaos 19, 043101 (2009)] published Mon Oct 5, 2009. (Source: Chaos)
Source: Chaos - October 6, 2009 Category: Physics Source Type: journals
Simultaneous border-collision and period-doubling bifurcations
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D. J. W. Simpson and J. D. Meiss We unfold the codimension-two simultaneous occurrence of a border-collision bifurcation and a period-doubling bifurcation for a general piecewise-smooth, continuous map. We find that with sufficient nondegeneracy conditions, a locus of period-doubling bifurcations emanates nontangentially from a loc ... [Chaos 19, 033146 (2009)] published Wed Sep 30, 2009. (Source: Chaos)
Source: Chaos - October 1, 2009 Category: Physics Source Type: journals
Harmonics and intermodulation in subthreshold FitzHughNagumo neuron
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Wenjie Si, Jiang Wang, K. M. Tsang, and W. L. Chan Intermodulation and harmonics are important in frequency analysis of nonlinear systems. In neuron research, most investigations are taken in studying synchronization between the external stimuli and the output of neuron, but harmonics and intermodulation are often ignored. In this paper, harmonics a ... [Chaos 19, 033144 (2009)] published Mon Sep 28, 2009. (Source: Chaos)
Source: Chaos - September 29, 2009 Category: Physics Source Type: journals
Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrodinger equation
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Hilla Yanay, Lev Khaykovich, and Boris A. Malomed We consider splitting and stabilization of second-order solitons (2-soliton breathers) in a model based on the nonlinear Schrodinger equation, which includes a small quintic term, and weak resonant nonlinearity management (NLM), i.e., time-periodic modulation of the cubic coefficient, at the frequen ... [Chaos 19, 033145 (2009)] published Mon Sep 28, 2009. (Source: Chaos)
Source: Chaos - September 29, 2009 Category: Physics Source Type: journals
Synchronization regimes in conjugate coupled chaotic oscillators
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Rajat Karnatak, Ram Ramaswamy, and Awadhesh Prasad Nonlinear oscillators that are mutually coupled via dissimilar (or conjugate) variables display distinct regimes of synchronous behavior. In identical chaotic oscillators diffusively coupled in this manner, complete synchronization occurs only by chaos suppression when the coupled subsystems drive e ... [Chaos 19, 033143 (2009)] published Thu Sep 24, 2009. (Source: Chaos)
Source: Chaos - September 25, 2009 Category: Physics Source Type: journals
Fermi acceleration and scaling properties of a time dependent oval billiard
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Edson D. Leonel, Diego F. M. Oliveira, and Alexander Loskutov We consider the phenomenon of Fermi acceleration for a classical particle inside an area with a closed boundary of oval shape. The boundary is considered to be periodically time varying and collisions of the particle with the boundary are assumed to be elastic. It is shown that the breathing geometr ... [Chaos 19, 033142 (2009)] published Wed Sep 23, 2009. (Source: Chaos)
Source: Chaos - September 24, 2009 Category: Physics Source Type: journals
Introduction to Focus Issue: Intracellular Ca Dynamics A Change of Modeling Paradigm?
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Martin Falcke Intracellular Ca concentration dynamics have been perceived as a prototypical deterministic intracellular reaction-diffusion system in biophysics for many years. Recent experimental findings challenge that view and suggest them to be fluctuation driven. That renders this system interesting for nonli ... [Chaos 19, 037101 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Spatiotemporal characteristics of calcium dynamics in astrocytes
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Minchul Kang and Hans G. Othmer Although Ca waves in networks of astrocytes in vivo are well documented, propagation in vivo is much more complex than in culture, and there is no consensus concerning the dominant roles of intercellular and extracellular messengers [inositol 1,4,5trisphosphate (IP) and adenosine-5-triphosphate (ATP ... [Chaos 19, 037116 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Reduction of calcium release site models via fast/slow analysis and iterative aggregation/disaggregation
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Yan Hao, Peter Kemper, and Gregory D. Smith Mathematical models of calcium release sites derived from Markov chain models of intracellular calcium channels exhibit collective gating reminiscent of the experimentally observed phenomenon of calcium puffs and sparks. Such models often take the form of stochastic automata networks in which the tr ... [Chaos 19, 037107 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
A simple sequential-binding model for calcium puffs
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D. Swaminathan, G. Ullah, and P. Jung Calcium puffs describe the transient release of Ca ions into the cytosol, through small clusters of 1,4,5-inositol triphosphate (IP) receptors, present on internal stores such as the endoplasmic reticulum. Statistical properties of puffs, such as puff amplitudes and durations, have been well charact ... [Chaos 19, 037109 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Spatiotemporal intracellular calcium dynamics during cardiac alternans
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Juan G. Restrepo and Alain Karma Cellular calcium transient alternans are beat-to-beat alternations in the peak cytosolic calcium concentration exhibited by cardiac cells during rapid electrical stimulation or under pathological conditions. Calcium transient alternans promote action potential duration alternans, which have been lin ... [Chaos 19, 037115 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Investigating the effects of molecular crowding on Ca diffusion using a particle-based simulation model
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Ronny Straube and Douglas Ridgway Calcium ions (Ca) are an important second messenger in eucaryotic cells. They are involved in numerous physiological processes which are triggered by calcium signals in the form of local release events, temporal oscillations, or reaction-diffusion waves. The diffusive spread of calcium signals in th ... [Chaos 19, 037110 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Inositol trisphosphate receptor and ion channel models based on single-channel data
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Elan Gin, Larry E. Wagner, David I. Yule, and James Sneyd The inositol trisphosphate receptor (IPR) plays an important role in controlling the dynamics of intracellular Ca. Single-channel patch-clamp recordings are a typical way to study these receptors as well as other ion channels. Methods for analyzing and using this type of data have been developed to ... [Chaos 19, 037104 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine
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Matjaz Perc, Marjan Rupnik, Marko Gosak, and Marko Marhl Calcium ions play an important role in both intra- and intercellular signaling. In pancreatic acinar cells intracellular Ca regulates exocytotic secretion and fluid secretion. In this paper we study the typical experimental traces of Ca responses in pancreatic acinar cells obtained in response to th ... [Chaos 19, 037113 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Transition of spiral calcium waves between multiple stable patterns can be triggered by a single calcium spark in a fire-diffuse-fire model
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Ai-Hui Tang (唐爱辉) and Shi-Qiang Wang (王世强) Spiral patterns have been found in various nonequilibrium systems. The Ca-induced Ca release system in single cardiac cells is unique for highly discrete reaction elements, each giving rise to a Ca spark upon excitation. We imaged the spiral Ca waves in isolated cardiac cells and numerically studied ... [Chaos 19, 037114 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
What can we learn from the irregularity of Ca oscillations?
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Genevieve Dupont and Laurent Combettes In most cells, Ca increases in response to external stimulation are organized in the form of oscillations and waves that sometimes propagate from one cell to another. Numerous experimental and theoretical studies reveal that this spatiotemporal organization contains a non-negligible level of stochas ... [Chaos 19, 037112 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Targeting and clustering of IP receptors: Key determinants of spatially organized Ca signals
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Colin W. Taylor, Taufiq-Ur-Rahman, and Evangelia Pantazaka Inositol 1,4,5-trisphosphate receptors (IPR) are intracellular Ca channels that are almost ubiquitously expressed in animal cells. The spatiotemporal complexity of the Ca signals evoked by IPR underlies their versatility in cellular signaling. Here we review the mechanisms that contribute to the sub ... [Chaos 19, 037102 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
A model-based method for estimating Ca release fluxes from linescan images in Xenopus oocytes
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Irina Baran and Anca Popescu We propose a model-based method of interpreting linescan images observed in Xenopus oocytes with the use of Oregon Green-1 as a fluorescent dye. We use a detailed modeling formalism based on numerical simulations that incorporate physical barriers for local diffusion, and, by assuming a Gaussian dis ... [Chaos 19, 037106 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
From puffs to global Ca signals: How molecular properties shape global signals
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Alexander Skupin and Martin Falcke The universality of Ca as second messenger in living cells is achieved by a rich spectrum of spatiotemporal cellular concentration dynamics. Ca release from internal storage compartments plays a key role in shaping cytosolic Ca signals. Deciphering this signaling mechanism is essential for a deeper ... [Chaos 19, 037111 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
An investigation of models of the IPR channel in Xenopus oocyte
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J. W. Shuai, D. P. Yang, J. E. Pearson, and S. Rudiger We consider different models of inositol 1,4,5-trisphosphate (IP) receptor (IPR) channels in order to fit nuclear membrane patch clamp data of the stationary open probability, mean open time, and mean close time of channels in the Xenopus oocyte. Our results indicate that rather than to treat the te ... [Chaos 19, 037105 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Localization and socialization: Experimental insights into the functional architecture of IP receptors
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Luis Diambra and Jonathan S. Marchant Inositol 1,4,5-trisphosphate (IP)-evoked Ca signals display great spatiotemporal malleability. This malleability depends on diversity in both the cellular organization and in situ functionality of IP receptors (IPRs) that regulate Ca release from the endoplasmic reticulum (ER). Recent experimental d ... [Chaos 19, 037103 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Toward a predictive model of Ca puffs
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R. Thul, K. Thurley, and M. Falcke We investigate the key characteristics of Ca puffs in deterministic and stochastic frameworks that all incorporate the cellular morphology of IP receptor channel clusters. In the first step, we numerically study the Ca liberation in a three-dimensional representation of a cluster environment with re ... [Chaos 19, 037108 (2009)] published Fri Sep 18, 2009. (Source: Chaos)
Source: Chaos - September 19, 2009 Category: Physics Source Type: journals
Complex network from time series based on phase space reconstruction
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Zhongke Gao and Ningde Jin We propose in this paper a reliable method for constructing complex networks from a time series with each vector point of the reconstructed phase space represented by a single node and edge determined by the phase space distance. Through investigating an extensive range of network topology statistic ... [Chaos 19, 033137 (2009)] published Thu Sep 17, 2009. (Source: Chaos)
Source: Chaos - September 18, 2009 Category: Physics Source Type: journals
The characteristics of four ratcheting states in cellular flames
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M. Gorman, M. el-Hamdi, and B. Pearson A premixed flat flame on a circular porous plug burner can form patterns of one or two concentric rings of cells in which brighter, hotter regions are separated by darker, cooler cusps and folds. Dynamic states are found at parameter values that are interleaved between those of the ordered states. R ... [Chaos 19, 033140 (2009)] published Thu Sep 17, 2009. (Source: Chaos)
Source: Chaos - September 18, 2009 Category: Physics Source Type: journals
