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A bifurcation analysis of pattern formation in a diffusion governed morphogenetic field

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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/bf00289234openalex-snapshot
A theory of biological pattern formation
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/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/bfb0060079openalex-snapshot
Topics in Stability and Bifurcation Theory
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/10.1038/225420a0openalex-snapshot
Diffusion in Embryogenesis
inferredcites →https://doi.org/10.1242/jcs.15.2.321openalex-snapshot
Applications of a theory of biological pattern formation based on lateral inhibition

What points at this work

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

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Spatial patterns for an interaction-diffusion equation in morphogenesis
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Temporal organization in a morphogenetic field
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Physik der biologischen Gestaltbildung
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An hypothesis: Phosphorylation fields as the source of positional information and cell differentiation—(cAMP, ATP) as the universal morphogenetic turing couple
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Chapter 10 Spatio-Temporal Organization During the Early Stages of Development
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Effect of preassigned gradient on pattern formation and morphogenesis during embryogenesis
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Effect of Cross-Diffusion on Pattern Formation – a Nonlinear Analysis
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Turing bifurcation in nonlinear competition models with delay
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Some physical, mathematical and evolutionary aspects of biological pattern formation
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DIFFUSION‐DRIVEN INSTABILITY IN THE GIERER‐MEINHARDT MODEL OF MORPHOGENESIS
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Differential Diffusivity of Nodal and Lefty Underlies a Reaction-Diffusion Patterning System
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Pattern Generation in Space and Aspect
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Compartmental-Reaction Diffusion Framework for Microscale Dynamics of Extracellular Serotonin in Brain Tissue
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Turing-like mechanism in a stochastic reaction-diffusion model recreates three dimensional vascular patterning of plant stems
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The Hydra model - a model for what?
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Hybrid asymptotic-numerical analysis of pattern formation problems
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Pattern Formation in a Bistable lonic Reaction-Difffusion System
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Stability of bifurcating solutions of the Gierer-Meinhardt systems
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Size-Regulated Symmetry Breaking in Reaction-Diffusion Models of Developmental Transitions
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Moving Finite Element Simulations for Reaction-Diffusion Systems
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