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Pattern formation and morphogenesis: A reaction-diffusion model
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf00276349openalex-snapshot
A bifurcation analysis of pattern formation in a diffusion governed morphogenetic field
inferredcites →https://doi.org/10.1007/bf00279849openalex-snapshot
On the existence of oscillatory solutions in negative feedback cellular control processes
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/bf02459519openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions
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/10.1016/0022-5193(68)90189-6openalex-snapshot
Mathematics of cellular control processes I. Negative feedback to one gene
inferredcites →https://doi.org/10.1016/0022-5193(70)90141-4openalex-snapshot
The occurrence and the significance of limit cycle behavior in controlled biochemical systems
inferredcites →https://doi.org/10.1016/0022-5193(71)90154-8openalex-snapshot
Instability and dynamic pattern in cellular networks
inferredcites →https://doi.org/10.1016/0022-5193(72)90004-5openalex-snapshot
Morphogenesis and chemical dissipative structures
inferredcites →https://doi.org/10.1016/0022-5193(72)90157-9openalex-snapshot
Co-operative components, spatial localization and oscillatory cellular dynamics
inferredcites →https://doi.org/10.1016/0022-5193(77)90080-7openalex-snapshot
The diffusive Lotka-Volterra oscillating system
inferredcites →https://doi.org/10.1016/0022-5193(77)90216-8openalex-snapshot
Thresholds in development
inferredcites →https://doi.org/10.1016/0025-5564(75)90043-7openalex-snapshot
Biochemical oscillators—a search procedure
inferredcites →https://doi.org/10.1016/0025-5564(75)90059-0openalex-snapshot
A theoretical investigation of a large class of biochemical oscillators
inferredcites →https://doi.org/10.1016/0025-5564(79)90023-3openalex-snapshot
Lectures on nonlinear differential-equation models in biology
inferredcites →https://doi.org/10.1016/0065-2571(65)90067-1openalex-snapshot
Oscillatory behavior in enzymatic control processes
inferredcites →https://doi.org/10.1016/b978-0-12-543105-7.50008-7openalex-snapshot
The Dynamics of Feedback Control Circuits in Biochemical Pathways
inferredcites →https://doi.org/10.1016/c2013-0-07493-2openalex-snapshot
Progress in Theoretical Biology
inferredcites →https://doi.org/10.1016/s0022-5193(69)80016-0openalex-snapshot
Positional information and the spatial pattern of cellular differentiation
inferredcites →https://doi.org/10.1016/s0022-5193(75)80099-3openalex-snapshot
Negative ionic cross diffusion coefficients in electrolytic solutions
inferredcites →https://doi.org/10.1063/1.1668896openalex-snapshot
Symmetry Breaking Instabilities in Dissipative Systems. II
inferredcites →https://doi.org/10.1063/1.1681869openalex-snapshot
Limit cycle oscillations in compartmental chemical systems
inferredcites →https://doi.org/10.1073/pnas.71.7.2748openalex-snapshot
Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis
inferredcites →https://doi.org/10.1093/oxfordjournals.jbchem.a127669openalex-snapshot
Absorption Spectrum of Flavin Mononucleotide Semiquinone
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1137/0130015openalex-snapshot
Bifurcation of Localized Disturbances in a Model Biochemical Reaction
inferredcites →https://doi.org/10.1137/0132032openalex-snapshot
A Model Biochemical Reaction Exhibiting Secondary Bifurcation
inferredcites →https://doi.org/10.1242/jcs.15.2.321openalex-snapshot
Applications of a theory of biological pattern formation based on lateral inhibition
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.
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Dynamic Systems Theories
inferred← citeshttps://doi.org/10.1007/s11837-016-1909-yopenalex-snapshot
Stability of Interfacial Phase Growth in a Slab with Convective Boundary Conditions
inferred← citeshttps://doi.org/10.1016/0270-0255(87)90651-8openalex-snapshot
Pattern generation and morphogenesis — a bifurcation analysis
inferred← citeshttps://doi.org/10.1016/0303-2647(92)90026-uopenalex-snapshot
Formation of a regular dissipative structure: a bifurcation and non-linear analysis
inferred← citeshttps://doi.org/10.1016/0303-2647(93)90079-ropenalex-snapshot
Turing structure during embryogenesis
inferred← citeshttps://doi.org/10.1016/0307-904x(89)90203-5openalex-snapshot
Oscillations in a multiple-loop negative-feedback control network model for transcription and translation during embryogenesis
inferred← citeshttps://doi.org/10.1016/0893-9659(92)90055-eopenalex-snapshot
Morphogenetic prepattern during embryonic development—a nonlinear analysis
inferred← citeshttps://doi.org/10.1016/0895-7177(93)90094-fopenalex-snapshot
Order and disorder in biological systems through negative cross-diffusion of mitotic inhibitor—a mathematical model
inferred← citeshttps://doi.org/10.1016/j.apm.2022.10.043openalex-snapshot
A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues
inferred← citeshttps://doi.org/10.1016/j.physleta.2007.04.114openalex-snapshot
Cross-diffusion in the Templator model of chemical self-replication
inferred← citeshttps://doi.org/10.1016/s0895-7177(96)00178-1openalex-snapshot
Effect of preassigned gradient on pattern formation and morphogenesis during embryogenesis
inferred← citeshttps://doi.org/10.1016/s0960-0779(02)00648-3openalex-snapshot
Cross-diffusional effect in a telegraph reaction diffusion Lotka–Volterra two competitive system
inferred← citeshttps://doi.org/10.1023/a:1005764514684openalex-snapshot
Effect of Cross-Diffusion on Pattern Formation – a Nonlinear Analysis
inferred← citeshttps://doi.org/10.1038/s41598-025-32911-0openalex-snapshot
Exploring potential of Turing pattern classification through convolution maps
inferred← citeshttps://doi.org/10.1080/00207728808964070openalex-snapshot
Model for the epigenetic mechanism during embryogenesis: a study of oscillations in a multiple-loop biochemical control network
inferred← citeshttps://doi.org/10.1109/rcembs.1995.532186openalex-snapshot
Concept of imposed gradient on embryonic development
inferred← citeshttps://doi.org/10.48550/arxiv.2101.00681openalex-snapshot
A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion problems
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