Applications of mathematical modelling to biological pattern formation,

Applications of mathematical modelling to biological pattern formation,

The formation of spatiotemporal patterning in biology has intrigued experimentalists and theoreticians for many generations. Here we present a brief review of some mathematical models for pattern formation and then focus on three models which use the phenomenon of chemotaxis to generate pattern.

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Maini, P
Formáid:	Journal article
Foilsithe / Cruthaithe:	2001

Míreanna comhchosúla

Mathematical models for biological pattern formation, In On Growth and Form
de réir: Maini, P
Foilsithe / Cruthaithe: (1999)

Using mathematical models to help understand biological pattern formation
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Using mathematical models to help understand biological pattern formation.
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Foilsithe / Cruthaithe: (2004)

Mathematical modelling in the life sciences: Applications in pattern formation and wound healing
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Foilsithe / Cruthaithe: (2000)

Hierarchical models for spatial pattern formation in biology
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Foilsithe / Cruthaithe: (1995)

Hierarchical models for spatial pattern formation in biology
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Foilsithe / Cruthaithe: (1995)

Mathematical models for biological pattern formulation /
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Foilsithe / Cruthaithe: (2001)

Foreword, Cellular Automaton Modeling of Biological Pattern Formation
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Reaction-diffusion models for biological pattern formation
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Modelling biological pattern formation: The role of domain growth
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Mathematical models in morphogenesis, In Mathematics Inspired by Biology
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Foilsithe / Cruthaithe: (1999)

The impact of Turing's work on pattern formation in biology
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Foilsithe / Cruthaithe: (2004)

Turing's model for biological pattern formation and the robustness problem.
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Foilsithe / Cruthaithe: (2012)

A NONLINEAR-ANALYSIS OF A MECHANICAL MODEL FOR BIOLOGICAL PATTERN-FORMATION
de réir: Maini, P, et al.
Foilsithe / Cruthaithe: (1988)

Turing's model for biological pattern formation and the robustness problem
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Foilsithe / Cruthaithe: (2012)

Spatial pattern formation in chemical and biological systems
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Foilsithe / Cruthaithe: (1997)

Spatial pattern formation in chemical and biological systems
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Foilsithe / Cruthaithe: (1997)

Mathematical models for somite formation
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Foilsithe / Cruthaithe: (2007)

Mathematical models for somite formation.
de réir: Baker, R, et al.
Foilsithe / Cruthaithe: (2008)

Mathematical models for somite formation
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Foilsithe / Cruthaithe: (2007)

A MECHANICAL MODEL FOR BIOLOGICAL PATTERN-FORMATION - A NONLINEAR BIFURCATION-ANALYSIS
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A mechanical model for biological pattern formation: A nonlinear bifurcation analysis
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Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology.
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Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology
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Foilsithe / Cruthaithe: (2002)

Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology
de réir: Schnell, S, et al.
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Bulletin of Mathematical Biology: Editorial
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Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation
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Foilsithe / Cruthaithe: (1991)

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation
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Foilsithe / Cruthaithe: (1991)

Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling.
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Foilsithe / Cruthaithe: (1996)

Pattern formation by lateral inhibition with feedback: a mathematical model of Delta-Notch intercellular signalling
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Data-driven discovery and parameter estimation of mathematical models in biological pattern formation.
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The moving grid finite element method applied to biological problems, In Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models
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Biological pattern formation on two-dimensional domains: A nonlinear bifurcation analysis
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Rethinking models of pattern formation in somitogenesis
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Foilsithe / Cruthaithe: (2015)

Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies.
de réir: Baker, R, et al.
Foilsithe / Cruthaithe: (2009)

Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies
de réir: Baker, R, et al.
Foilsithe / Cruthaithe: (2009)

Pattern formation in tissue interaction models
de réir: Murray, J, et al.
Foilsithe / Cruthaithe: (1994)

Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis
de réir: Cruywagen, G, et al.
Foilsithe / Cruthaithe: (1997)

Pattern formation and wound healing
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Foilsithe / Cruthaithe: (2002)

Wound healing in the corneal epithelium: biological mechanisms and mathematical models
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