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.

ग्रंथसूची विवरण
मुख्य लेखक:	Maini, P
स्वरूप:	Journal article
प्रकाशित:	2001

समान संसाधन

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

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

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

Mathematical modelling in the life sciences: Applications in pattern formation and wound healing
द्वारा: Maini, P
प्रकाशित: (2000)

Hierarchical models for spatial pattern formation in biology
द्वारा: Maini, P
प्रकाशित: (1995)

Hierarchical models for spatial pattern formation in biology
द्वारा: Maini, P
प्रकाशित: (1995)

Mathematical models for biological pattern formulation /
द्वारा: Maini, Philip K., और अन्य
प्रकाशित: (2001)

Foreword, Cellular Automaton Modeling of Biological Pattern Formation
द्वारा: Maini, P
प्रकाशित: (2005)

Reaction-diffusion models for biological pattern formation
द्वारा: Crampin, E, और अन्य
प्रकाशित: (2001)

Modelling biological pattern formation: The role of domain growth
द्वारा: Crampin, E, और अन्य
प्रकाशित: (2001)

Mathematical models in morphogenesis, In Mathematics Inspired by Biology
द्वारा: Maini, P
प्रकाशित: (1999)

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

Turing's model for biological pattern formation and the robustness problem.
द्वारा: Maini, P, और अन्य
प्रकाशित: (2012)

A NONLINEAR-ANALYSIS OF A MECHANICAL MODEL FOR BIOLOGICAL PATTERN-FORMATION
द्वारा: Maini, P, और अन्य
प्रकाशित: (1988)

Turing's model for biological pattern formation and the robustness problem
द्वारा: Maini, P, और अन्य
प्रकाशित: (2012)

Spatial pattern formation in chemical and biological systems
द्वारा: Maini, P, और अन्य
प्रकाशित: (1997)

Spatial pattern formation in chemical and biological systems
द्वारा: Maini, P, और अन्य
प्रकाशित: (1997)

Mathematical models for somite formation
द्वारा: Baker, R, और अन्य
प्रकाशित: (2007)

Mathematical models for somite formation.
द्वारा: Baker, R, और अन्य
प्रकाशित: (2008)

Mathematical models for somite formation
द्वारा: Baker, R, और अन्य
प्रकाशित: (2007)

A MECHANICAL MODEL FOR BIOLOGICAL PATTERN-FORMATION - A NONLINEAR BIFURCATION-ANALYSIS
द्वारा: Maini, P, और अन्य
प्रकाशित: (1985)

A mechanical model for biological pattern formation: A nonlinear bifurcation analysis
द्वारा: Maini, P, और अन्य
प्रकाशित: (1985)

Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology.
द्वारा: Schnell, S, और अन्य
प्रकाशित: (2002)

Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology
द्वारा: Schnell, S, और अन्य
प्रकाशित: (2002)

Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology
द्वारा: Schnell, S, और अन्य
प्रकाशित: (2002)

Bulletin of Mathematical Biology: Editorial
द्वारा: Maini, P
प्रकाशित: (2006)

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation
द्वारा: Maini, P, और अन्य
प्रकाशित: (1991)

Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation
द्वारा: Maini, P, और अन्य
प्रकाशित: (1991)

Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling.
द्वारा: Collier, JR, और अन्य
प्रकाशित: (1996)

Pattern formation by lateral inhibition with feedback: a mathematical model of Delta-Notch intercellular signalling
द्वारा: Collier, J, और अन्य
प्रकाशित: (1996)

Data-driven discovery and parameter estimation of mathematical models in biological pattern formation.
द्वारा: Hidekazu Hishinuma, और अन्य
प्रकाशित: (2025-01-01)

The moving grid finite element method applied to biological problems, In Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models
द्वारा: Madzvamuse, A, और अन्य
प्रकाशित: (2003)

Rethinking models of pattern formation in somitogenesis
द्वारा: Maini, P, और अन्य
प्रकाशित: (2015)

Biological pattern formation on two-dimensional domains: A nonlinear bifurcation analysis
द्वारा: Cruywagen, G, और अन्य
प्रकाशित: (1997)

Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies.
द्वारा: Baker, R, और अन्य
प्रकाशित: (2009)

Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies
द्वारा: Baker, R, और अन्य
प्रकाशित: (2009)

Pattern formation in tissue interaction models
द्वारा: Murray, J, और अन्य
प्रकाशित: (1994)

Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis
द्वारा: Cruywagen, G, और अन्य
प्रकाशित: (1997)

Wound healing in the corneal epithelium: biological mechanisms and mathematical models
द्वारा: Gaffney, E, और अन्य
प्रकाशित: (1997)

Bulletin of mathematical biology-facts, figures and comparisons.
द्वारा: Maini, P, और अन्य
प्रकाशित: (2004)