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Oscillatory biochemical signals and mechanical forces must coordinate robustly during development, yet the principles governing their mutual coupling remain poorly understood. In syncytial embryos and cell-free extracts, mitotic waves…

Biological Physics · Physics 2026-01-12 Lara Koehler , Elissavet Sandaltzopoulou , Frank Jülicher , Jan Brugués

Spirals are common in Nature: the snail's shell and the ordering of seeds in the sunflower are amongst the most widely-known occurrences. While these are static, dynamic spirals can also be observed in excitable systems such as heart…

Dynamical Systems · Mathematics 2007-05-23 Patrick Boily

Spiral waves are self-repeating waves that can form in excitable media, propagating outward from their center in a spiral pattern. Spiral waves have been observed in different natural phenomena and have been linked to medical conditions…

Cellular Automata and Lattice Gases · Physics 2020-08-11 Vincent Vangelista , Karl Amjad-Ali , Minhyeok Kwon , Paulo H. Acioli

Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been identified in the neocortex of turtles, rats, and humans,…

Propagating spiral waves have been discovered in various chemical, biological and physical systems. Spiral waves in multicellular organisms are often associated with essential living functions. Although certain eukaryotic microorganisms…

Biological Physics · Physics 2024-06-04 Shiqi Liu , Ye Li , Yuhao Wang , Yilin Wu

The structure of spiral waves is investigated in super-excitable reaction-diffusion systems where the local dynamics exhibits multi-looped phase space trajectories. It is shown that such systems support stable spiral waves with broken…

chao-dyn · Physics 2015-06-24 Andrei Goryachev , Raymond Kapral

Nuclei import and export proteins, including cell cycle regulators. These import-export processes are modulated periodically by the cell cycle, for example due to the periodic assembly and breakdown of the nuclear envelope. As such,…

Biological Physics · Physics 2021-06-30 Felix E. Nolet , Lendert Gelens

We study the drift of spiral waves in a simple model of heterogeneous excitable medium, having gradients in local excitability or cellular coupling. For the first time, we report the anomalous drift of spiral waves towards regions having…

Pattern Formation and Solitons · Physics 2010-11-16 S. Sridhar , Sitabhra Sinha , Alexander. V. Panfilov

Many multicellular communities propagate signals in a directed manner via excitable waves. Cell-to-cell heterogeneity is a ubiquitous feature of multicellular communities, but the effects of heterogeneity on wave propagation are still…

Biological Physics · Physics 2020-04-22 Xiaoling Zhai , Joseph W. Larkin , Gürol M. Süel , Andrew Mugler

Abnormal electrical activity from the boundaries of ischemic cardiac tissue is recognized as one of the major causes in generation of ischemia-reperfusion arrhythmias. Here we present theoretical analysis of the waves of electrical activity…

Tissues and Organs · Quantitative Biology 2015-05-19 Vadim N. Biktashev , Irina V. Biktasheva , Narine A. Sarvazyan

It is shown, by means of numerical simulations, that intercellular spiral waves of calcium can be initiated in a network of coupled cells as a result of a de-synchronization between Ca2+ oscillations in two domains. No artificial…

Molecular Networks · Quantitative Biology 2010-10-14 Wilfred D. Kepseu , Paul Woafo , H. Sakaguchi

Spiral waves of excitation in cardiac tissue are associated with life-threatening cardiac arrhythmias. It is, therefore, important to study the electrophysiological factors that affect the dynamics of these spiral waves. By using an…

Biological Physics · Physics 2021-08-17 Mahesh Kumar Mulimani , Soling Zimik , Rahul Pandit

We aim to understand the formation of abnormal waves of activity from myocardial regions with diminished cell-to-cell coupling. In route to this goal, we studied the behavior of a heterogeneous myocyte network in which a sharp coupling…

Tissues and Organs · Quantitative Biology 2009-11-13 V. N. Biktashev , A. Arutunyan , N. A. Sarvazyan

Excitable media are systems which are at rest in the absence of external input but which respond to a sufficiently strong stimulus by sending a wave of "excitation" across the medium. Examples include cardiac and cortical tissue, and in…

Quantitative Methods · Quantitative Biology 2021-01-01 S. P. Hastings , M. M Sussman

Spiral waves are ubiquitous in two-dimensional systems of chemical or biological oscillators coupled locally by diffusion. At the center of such spirals is a phase singularity, a topological defect where the oscillator amplitude drops to…

Pattern Formation and Solitons · Physics 2010-03-16 Erik A. Martens , Carlo R. Laing , Steven H. Strogatz

Spiral waves are considered to be one of the potential mechanisms that maintains complex arrhythmias such as atrial and ventricular fibrillation. The aim of the present study was to quantify the complex dynamics of spiral waves as the…

Pattern Formation and Solitons · Physics 2018-07-03 Daniel Sohn , Konstantinos N. Aronis , Hiroshi Ashikaga

Re-entrant spiral waves are observed in many different situations in nature, perhaps most importantly in excitable electrophysiological tissue where they are believed to be responsible for pathological conditions such as cardiac…

Dynamical Systems · Mathematics 2016-06-16 Petko Kitanov , Victor G. LeBlanc

Spiral waves are striking self-organized coherent structures that organize spatio-temporal dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual approach to various properties of spiral waves. Rather…

Pattern Formation and Solitons · Physics 2021-02-09 Björn Sandstede , Arnd Scheel

The discovery of the phase space spirals in the Solar neighborhood in Gaia Data Release 2 has prompted various attempts to understand their origin. A source of bending waves, which has been neglected as a cause of the phase spiral, is…

Astrophysics of Galaxies · Physics 2026-04-09 Shuyu Wang , Anthony G. A. Brown , Victor P. Debattista , Tigran Khachaturyants

Coordination of cytoplasmic flows on large scales in space and time are at the root of many cellular processes, including growth, migration or division. These flows are driven by organized contractions of the actomyosin cortex. In order to…

Adaptation and Self-Organizing Systems · Physics 2022-07-29 Busson Valentin , Saiseau Raphaël , Durand Marc
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