A mechanical model for biological pattern formation: A nonlinear bifurcation analysis

A mechanical model for biological pattern formation: A nonlinear bifurcation analysis

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We present a mechanical model for cell aggregation in embryonic development. The model is based on the large traction forces exerted by fibroblast cells which deform the extracellular matrix (ECM) on which they move. It is shown that the subsequent changes in the cell environment can combine to prod...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Maini, P, Murray, J, Oster, G
Fformat:	Llyfr
Cyhoeddwyd:	Springer-Verlag 1985

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A MECHANICAL MODEL FOR BIOLOGICAL PATTERN-FORMATION - A NONLINEAR BIFURCATION-ANALYSIS
gan: Maini, P, et al.
Cyhoeddwyd: (1985)

Biological pattern formation on two-dimensional domains: A nonlinear bifurcation analysis
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1997)

Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1997)

A NONLINEAR-ANALYSIS OF A MECHANICAL MODEL FOR BIOLOGICAL PATTERN-FORMATION
gan: Maini, P, et al.
Cyhoeddwyd: (1988)

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation
gan: Maini, P, et al.
Cyhoeddwyd: (1991)

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation
gan: Maini, P, et al.
Cyhoeddwyd: (1991)

A nonlinear analysis of a mechanical model for pattern formation
gan: Maini, P, et al.
Cyhoeddwyd: (1988)

Nonlinear pattern selection in a mechanical model for morphogenesis
gan: Perelson, A, et al.
Cyhoeddwyd: (1986)

Nonlinear pattern selection in a mechanical model for morphogenesis.
gan: Perelson, A, et al.
Cyhoeddwyd: (1986)

Tracking bifurcating solutions of a model biological pattern generator
gan: Winters, K, et al.
Cyhoeddwyd: (1991)

Tracking bifurcating solutions of a model biological pattern generator
gan: Winters, K, et al.
Cyhoeddwyd: (1990)

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation.
gan: Maini, P, et al.
Cyhoeddwyd: (1991)

An analysis of one- and two-dimensional patterns in a mechanical model for morphogenesis
gan: Maini, P, et al.
Cyhoeddwyd: (1986)

Bifurcating spatial patterns in a cell-chemotaxis model
gan: Maini, P, et al.
Cyhoeddwyd: (1993)

BIFURCATING SPATIAL PATTERNS ARISING FROM TRAVELING WAVES IN A TISSUE INTERACTION-MODEL
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

Bifurcating spatial patterns arising from travelling waves in a tissue interaction model
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

PATTERN-FORMATION MECHANISMS - A COMPARISON OF REACTION-DIFFUSION AND MECHANOCHEMICAL MODELS
gan: Murray, J, et al.
Cyhoeddwyd: (1989)

Pattern formation mechanisms - a comparison of reaction diffusion and mechanochemical models
gan: Murray, J, et al.
Cyhoeddwyd: (1989)

Hierarchical models for spatial pattern formation in biology
gan: Maini, P
Cyhoeddwyd: (1995)

Hierarchical models for spatial pattern formation in biology
gan: Maini, P
Cyhoeddwyd: (1995)

Applications of mathematical modelling to biological pattern formation,
gan: Maini, P
Cyhoeddwyd: (2001)

Mathematical models for biological pattern formation, In On Growth and Form
gan: Maini, P
Cyhoeddwyd: (1999)

Foreword, Cellular Automaton Modeling of Biological Pattern Formation
gan: Maini, P
Cyhoeddwyd: (2005)

Reaction-diffusion models for biological pattern formation
gan: Crampin, E, et al.
Cyhoeddwyd: (2001)

Forces and pattern in limb morphogenesis
gan: Oster, G, et al.
Cyhoeddwyd: (1984)

Pattern formation in tissue interaction models
gan: Murray, J, et al.
Cyhoeddwyd: (1994)

Sequential pattern formation in a model for skin morphogenesis.
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1992)

Sequential pattern formation in a model for skin morphogenesis
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1992)

Using mathematical models to help understand biological pattern formation
gan: Maini, P
Cyhoeddwyd: (2004)

Using mathematical models to help understand biological pattern formation.
gan: Maini, P
Cyhoeddwyd: (2004)

Modelling biological pattern formation: The role of domain growth
gan: Crampin, E, et al.
Cyhoeddwyd: (2001)

Analysis of Stability and Bifurcation in Nonlinear Mechanics with Dissipation
gan: Claude Stolz
Cyhoeddwyd: (2011-01-01)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
gan: Satnoianu, R, et al.
Cyhoeddwyd: (2001)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
gan: Satnoianu, R, et al.
Cyhoeddwyd: (2001)

Travelling waves in a tissue interaction model for skin pattern formation
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

Travelling waves in a tissue interaction model for skin pattern formation.
gan: Cruywagen, G, et al.
Cyhoeddwyd: (1994)

The impact of Turing's work on pattern formation in biology
gan: Maini, P
Cyhoeddwyd: (2004)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
gan: Satnoianu, R, et al.
Cyhoeddwyd: (2001)

Bifurcation study and pattern formation analysis of a nonlinear dynamical system for chaotic behavior in traveling wave solution
gan: Adil Jhangeer, et al.
Cyhoeddwyd: (2022-06-01)

Turing's model for biological pattern formation and the robustness problem.
gan: Maini, P, et al.
Cyhoeddwyd: (2012)