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A collocation approach to the numerical calculation of simple gradients in reaction-diffusion systems

https://doi.org/10.1007/bf00276504
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/jobm.19800200923openalex-snapshot
H. Haken, Synergetics. An Introduction. Nonequilibrium Phase Transitions and Self‐Organization in Physics, Chemistry, and Biology (2nd Edition). XI + 355 S., 152 Abb. Berlin—Heidelberg—New York 1978. Springer‐Verlag. DM 66,00
inferredcites →https://doi.org/10.1002/jobm.19810211028openalex-snapshot
A. T. Winfree, The Geometry of Biological Time (Biomathematics, Vol.8). 530 S., 290 Abb. Berlin‐Heidelberg‐New‐York 1980. Springer‐Verlag. DM 59,50
inferredcites →https://doi.org/10.1007/978-0-387-30440-3_534openalex-snapshot
Synergetics, Introduction to
inferredcites →https://doi.org/10.1007/978-3-642-93111-6openalex-snapshot
Mathematical Aspects of Reacting and Diffusing Systems
inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00275727openalex-snapshot
Spatial patterns for an interaction-diffusion equation in morphogenesis
inferredcites →https://doi.org/10.1007/bf00289234openalex-snapshot
A theory of biological pattern formation
inferredcites →https://doi.org/10.1007/bf01832840openalex-snapshot
Pattern formation in morphogenesis
inferredcites →https://doi.org/10.1007/bf02459421openalex-snapshot
Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations
inferredcites →https://doi.org/10.1007/bf02459527openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations
inferredcites →https://doi.org/10.1007/bf02459528openalex-snapshot
Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields
inferredcites →https://doi.org/10.1007/bf02462997openalex-snapshot
Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis
inferredcites →https://doi.org/10.1016/0021-9991(80)90005-4openalex-snapshot
Spectral methods for problems in complex geometries
inferredcites →https://doi.org/10.1016/0021-9991(80)90006-6openalex-snapshot
Spectral methods for multi-dimensional diffusion problems
inferredcites →https://doi.org/10.1016/0167-2789(81)90032-4openalex-snapshot
A mathematical model for pattern formation in biological systems
inferredcites →https://doi.org/10.1063/1.1668896openalex-snapshot
Symmetry Breaking Instabilities in Dissipative Systems. II
inferredcites →https://doi.org/10.1063/1.1841255openalex-snapshot
On Symmetry-Breaking Instabilities in Dissipative Systems
inferredcites →https://doi.org/10.1063/1.437067openalex-snapshot
Bifurcation analysis of nonlinear reaction–diffusion systems: Dissipative structures in a sphere
inferredcites →https://doi.org/10.1063/1.439761openalex-snapshot
Dissipative structures in reaction–diffusion systems: Numerical determination of bifurcations in the sphere
inferredcites →https://doi.org/10.1073/pnas.70.11.3255openalex-snapshot
Patterns of Spatiotemporal Organization in an Allosteric Enzyme Model
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1098/rstb.1981.0155openalex-snapshot
On pattern formation mechanisms for lepidopteran wing patterns and mammalian coat markings
inferredcites →https://doi.org/10.1111/j.1432-1033.1968.tb00175.xopenalex-snapshot
Self‐Oscillations in Glycolysis 1. A Simple Kinetic Model
inferredcites →https://doi.org/10.1119/1.1933765openalex-snapshot
Methods of Theoretical Physics
inferredcites →https://doi.org/10.2307/2530271openalex-snapshot
Lectures on Nonlinear Differential-Equation Models in Biology

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-0348-5681-2_12openalex-snapshot
Bi-periodicity in an isothermal autocatalytic reaction-diffusion system
inferred← citeshttps://doi.org/10.1007/978-3-0348-7241-6_6openalex-snapshot
Numerical Studies of Bifurcation in Reaction-Diffusion Models Using Pseudo-Spectral and Path-Following Methods
inferred← citeshttps://doi.org/10.1007/978-94-009-0659-4_3openalex-snapshot
Understanding Steady-State Bifurcation Diagrams for a Model Reaction-Diffusion System
inferred← citeshttps://doi.org/10.1007/978-94-009-2975-3_39openalex-snapshot
Numerical Studies of Symmetry-Breaking Bifurcations in Reaction-Diffusion Systems
inferred← citeshttps://doi.org/10.1007/bf00178771openalex-snapshot
Implicit-explicit methods for reaction-diffusion problems in pattern formation
inferred← citeshttps://doi.org/10.1007/bf00178779openalex-snapshot
Superposition of modes in a caricature of a model for morphogenesis
inferred← citeshttps://doi.org/10.1016/0167-2789(86)90162-4openalex-snapshot
Nonlinear dynamics in driven, damped sine-Gordon systems
inferred← citeshttps://doi.org/10.1016/0377-0427(84)90005-0openalex-snapshot
Bifurcation studies in reaction-diffusion II
inferred← citeshttps://doi.org/10.1016/0377-0427(84)90029-3openalex-snapshot
Bifurcation studies in reaction-diffusion
inferred← citeshttps://doi.org/10.1016/0377-0427(86)90227-xopenalex-snapshot
A comparison of basis functions for the pseudo-spectral method for a model reaction-diffusion problem
inferred← citeshttps://doi.org/10.1016/0377-0427(89)90155-6openalex-snapshot
Bi-periodicity in an isothermal autocatalytic reaction-diffusion system
inferred← citeshttps://doi.org/10.1016/j.apnum.2023.04.021openalex-snapshot
A Chebyshev multidomain adaptive mesh method for reaction-diffusion equations
inferred← citeshttps://doi.org/10.1016/j.matcom.2009.01.001openalex-snapshot
Pseudospectral method of solution of the Fitzhugh–Nagumo equation
inferred← citeshttps://doi.org/10.1016/s0006-3495(86)83715-8openalex-snapshot
A model study of intracellular oxygen gradients in a myoglobin-containing skeletal muscle fiber
inferred← citeshttps://doi.org/10.1063/5.0302095openalex-snapshot
Numerical study of the effect of the relative mobilities of chemical components on the non-solvent induced phase separation process for membrane elaboration
inferred← citeshttps://doi.org/10.1142/s1793962318500253openalex-snapshot
Chebyshev multidomain pseudospectral method to solve cardiac wave equations with rotational anisotropy
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