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Pattern formation in morphogenesis
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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/sapm19785911openalex-snapshot
Activators and Inhibitors in Pattern Formation
inferredcites →https://doi.org/10.1007/978-0-387-30440-3_534openalex-snapshot
Synergetics, Introduction to
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/bf00289234openalex-snapshot
A theory of biological pattern formation
inferredcites →https://doi.org/10.1007/bf01313213openalex-snapshot
Statistical physics of bifurcation, spatial structures, and fluctuations of chemical reactions
inferredcites →https://doi.org/10.1007/bf01375622openalex-snapshot
Frequency shifts of laser modes in solid state and gaseous systems
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/bf02462997openalex-snapshot
Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis
inferredcites →https://doi.org/10.1007/bfb0060079openalex-snapshot
Topics in Stability and Bifurcation Theory
inferredcites →https://doi.org/10.1007/bfb0087456openalex-snapshot
Group Theoretic Methods in Bifurcation Theory
inferredcites →https://doi.org/10.1016/0012-1606(78)90177-xopenalex-snapshot
The pattern of cell division in the early development of the sea urchin, Paracentrotus lividus
inferredcites →https://doi.org/10.1016/0022-5193(81)90334-9openalex-snapshot
A Pre-pattern formation mechanism for animal coat markings
inferredcites →https://doi.org/10.1016/0079-6107(82)90019-0openalex-snapshot
Generation of biological patterns and form: Some physical, mathematical, and logical aspects
inferredcites →https://doi.org/10.1016/0092-8674(78)90114-9openalex-snapshot
Inhomogeneous distribution of egg RNA sequences in the early embryo
inferredcites →https://doi.org/10.1016/0301-0104(80)87003-0openalex-snapshot
Secondary bifurcations in spherical reaction-diffusion systems
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/10.1063/1.1664849openalex-snapshot
Perturbation Theory of Nonlinear Boundary-Value Problems
inferredcites →https://doi.org/10.1090/s0002-9904-1970-12461-2openalex-snapshot
A simple nonlinear dynamic stability problem
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1103/revmodphys.47.67openalex-snapshot
Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems
inferredcites →https://doi.org/10.1137/0120062openalex-snapshot
Transient Behavior of Unstable Nonlinear Systems with Applications to the Bénard and Taylor Problems
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/10.1137/0140003openalex-snapshot
Branching from Closely Spaced Eigenvalues with Application to a Model Biochemical Reaction
inferredcites →https://doi.org/10.1137/1013063openalex-snapshot
Branching of Solutions of Nonlinear Equations
inferredcites →https://doi.org/10.1201/b17176-10openalex-snapshot
ANGULAR MOMENTUM IN QUANTUM MECHANICS
inferredcites →https://doi.org/10.1242/dev.29.1.27openalex-snapshot
Isolation and characterization of a low-molecular-weight substance activating head and bud formation in hydra
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/10.1515/jnet.1978.3.2.63openalex-snapshot
Nonlinear Reaction-Diffusion on a Sphere: a Simple Autocatalytic Model with Michaelis-Menten (First-Order Hinshelwood-Langmuir) Saturation Law
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-319-08019-2_36openalex-snapshot
Metric-Driven Grammars and Morphogenesis (Extended Abstract)
inferred← citeshttps://doi.org/10.1007/978-3-319-99070-5_7openalex-snapshot
Modeling Plant Tissue Growth and Cell Division
inferred← citeshttps://doi.org/10.1007/978-3-642-76877-4_2openalex-snapshot
Synergetics – Can It Help Physiology
inferred← citeshttps://doi.org/10.1007/978-3-642-96775-7_10openalex-snapshot
Anwendungen in der Biologie
inferred← citeshttps://doi.org/10.1007/978-3-662-10186-5_10openalex-snapshot
Anwendungen in der Biologie
inferred← citeshttps://doi.org/10.1007/bf00276372openalex-snapshot
Regulation of differentiation in a population of cells interacting through a common pool
inferred← citeshttps://doi.org/10.1007/bf00276504openalex-snapshot
A collocation approach to the numerical calculation of simple gradients in reaction-diffusion systems
inferred← citeshttps://doi.org/10.1007/bf00285343openalex-snapshot
Temporal organization in a morphogenetic field
inferred← citeshttps://doi.org/10.1007/bf02458442openalex-snapshot
Wavelength selection mechanism in the Gierer-Meinhardt model
inferred← citeshttps://doi.org/10.1007/bf02460024openalex-snapshot
Pattern formation and morphogenesis: A reaction-diffusion model
inferred← citeshttps://doi.org/10.1007/bf02931295openalex-snapshot
Quantitative analysis of streptococcal exoprotein flow to the host receptor — Exact basis for therapy of tumors and alzheimer’s disease
inferred← citeshttps://doi.org/10.1007/s00441-014-2043-1openalex-snapshot
Evolving gene regulatory networks into cellular networks guiding adaptive behavior: an outline how single cells could have evolved into a centralized neurosensory system
inferred← citeshttps://doi.org/10.1007/s10910-009-9597-2openalex-snapshot
Hopf bifurcation and multiple limit cycles in bio-chemical reaction of the morphogenesis process
inferred← citeshttps://doi.org/10.1016/0022-0396(86)90119-1openalex-snapshot
Point-condensation for a reaction-diffusion system
inferred← citeshttps://doi.org/10.1016/0022-5193(83)90401-0openalex-snapshot
A pre-pattern formation mechanism for the spiral-type patterns of the sunflower head
inferred← citeshttps://doi.org/10.1016/0025-5564(85)90075-6openalex-snapshot
Mathematical analysis of an activation-inhibition system in a discrete field
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(84)90012-1openalex-snapshot
A four-variable model for the pattern-forming mechanism in Hydra
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/j.biosystems.2013.01.003openalex-snapshot
Randomness in self-organized phenomena. A case study: Retinal angiogenesis
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2006.07.004openalex-snapshot
Limit cycles in morphogenesis
inferred← citeshttps://doi.org/10.1023/a:1005764514684openalex-snapshot
Effect of Cross-Diffusion on Pattern Formation – a Nonlinear Analysis
inferred← citeshttps://doi.org/10.1080/00018732.2013.771509openalex-snapshot
Emergent complexity of the cytoskeleton: from single filaments to tissue
inferred← citeshttps://doi.org/10.1103/revmodphys.66.1481openalex-snapshot
Biological pattern formation: from basic mechanisms to complex structures
inferred← citeshttps://doi.org/10.1111/j.1939-7445.1998.tb00304.xopenalex-snapshot
DIFFUSION‐DRIVEN INSTABILITY IN THE GIERER‐MEINHARDT MODEL OF MORPHOGENESIS
inferred← citeshttps://doi.org/10.3934/cpaa.2022013openalex-snapshot
Analysis and asymptotic reduction of a bulk-surface reaction-diffusion model of Gierer-Meinhardt type
inferred← citeshttps://doi.org/10.4172/2324-9110.s1-002openalex-snapshot
Endogenous Voltage Potentials and the Microenvironment: Bioelectric Signals that Reveal, Induce and Normalize Cancer
inferred← citeshttps://doi.org/10.48550/arxiv.2010.04426openalex-snapshot
Analysis and numerical treatment of bulk-surface reaction-diffusion models of Gierer-Meinhardt type
inferred← citeshttps://doi.org/10.5772/59150openalex-snapshot
Mechanisms of Cell Regeneration — From Differentiation to Maintenance of Cell Phenotype
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