Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape

DOI10.1007/BF02458883zbMath0642.92002WikidataQ52579742 ScholiaQ52579742MaRDI QIDQ1101361

B. George

Publication date: 1988

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

electric potentialnonlinear equationsymmetry breakingspectrum analysisdissipative structureCharaintracellular diffusion fluxmulticellular system of cylindrical shapenumerical calculations of proton concentrationperiodic band patterns of ion concentration

Mathematics Subject Classification ID

Biophysics (92C05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (5)

Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape ⋮ Formation of band-type electric patterns in Characean cells ⋮ A mathematical model of the P-glycoprotein pump as a mediator of multidrug resistance ⋮ The asymptotic transectional/circumferential homogeneity of the solutions of reaction-diffusion systems in/on cylinder-like domains ⋮ Bifurcation characteristics and spatial patterns in an integro- differential equation

Cites Work

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• Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape
• Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations
• Reaction-diffusion equation describing morphogenesis. I: Waveform stability of stationary wave solutions in a one dimensional model
• Turing's theory in morphogenesis
• Synergetics. An introduction. Nonequilibrium phase transitions and self- organization in physics, chemistry and biology. 2nd enl. ed
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Fluctuations from the Nonequilibrium Steady State

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