Hysteresis, oscillations, and pattern formation in realistic immobilized enzyme systems
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Publication:1139523
DOI10.1007/BF00276413zbMath0433.92014OpenAlexW2019644450WikidataQ41453994 ScholiaQ41453994MaRDI QIDQ1139523
G. Joly, M. C. Duban, J. P. Kernevez, Barry Bunow, Daniel L. Thomas
Publication date: 1979
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00276413
Stability in context of PDEs (35B35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Bifurcations in context of PDEs (35B32) Physiological, cellular and medical topics (92Cxx)
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Examples of non-degenerate and degenerate cuspidal loops in planar systems ⋮ Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network ⋮ \(L^\infty\)-energy method for a parabolic system with convection and hysteresis effect ⋮ MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL ⋮ A non-linear analysis for spatial structure in a reaction-diffusion model ⋮ Remark on an application of a sufficient condition for non-uniqueness to a model in immobilized enzyme systems ⋮ 𝐿^{∞}-Energy method and its applications to nonlinear partial differential equations ⋮ Hysteresis modeling for calcium-mediated ciliary beat frequency in airway epithelial cells ⋮ Existence of alternate steady states in a phosphorous cycling model ⋮ An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems ⋮ Simulation of chemical oscillations in membranes ⋮ A higher-order compact ADI method with monotone iterative procedure for systems of reaction-diffusion equations ⋮ A uniqueness theorem for two-point boundary value problems ⋮ Nonlinear dynamics of the distributed biochemical systems functioning in the dissipative structure formation mode ⋮ S-shaped bifurcation curves in ecosystems ⋮ Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions ⋮ Isolating patterns in open reaction-diffusion systems ⋮ Higher-order compact finite difference method for systems of reaction-diffusion equations ⋮ Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods ⋮ S-shaped bifurcation curves ⋮ Localised spatial structures in the Thomas model ⋮ \(S\) -shaped bifurcation diagrams in exterior domains ⋮ Almost periodic plane wave solutions for reaction diffusion equations ⋮ Apparition de motifs géométriques dans une membrane enzymatique
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