A mathematical model for pattern formation in biological systems

G. Catalano; J. C. Eilbeck; A. Monroy; E. Parisi

A mathematical model for pattern formation in biological systems

G. Catalano, J. C. Eilbeck, A. Monroy, E. Parisi

Research output: Contribution to journal › Article › peer-review

Abstract

A system of reaction-diffusion equations with applications in biological problems is presented and studied theoretically and numerically. Solutions demonstrating the following types of behaviour have been obtained: (i) time constant, spatially inhomogeneous, (ii) time periodic, spatially homogeneous, and (iii) time periodic, travelling wave-like. Some applications in embryological problems are discussed. © 1981.

Original language	English
Pages (from-to)	439-456
Number of pages	18
Journal	Physica D: Nonlinear Phenomena
Volume	3
Issue number	3
Publication status	Published - Aug 1981

Cite this

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title = "A mathematical model for pattern formation in biological systems",

abstract = "A system of reaction-diffusion equations with applications in biological problems is presented and studied theoretically and numerically. Solutions demonstrating the following types of behaviour have been obtained: (i) time constant, spatially inhomogeneous, (ii) time periodic, spatially homogeneous, and (iii) time periodic, travelling wave-like. Some applications in embryological problems are discussed. {\textcopyright} 1981.",

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T1 - A mathematical model for pattern formation in biological systems

AU - Catalano, G.

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AU - Parisi, E.

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N2 - A system of reaction-diffusion equations with applications in biological problems is presented and studied theoretically and numerically. Solutions demonstrating the following types of behaviour have been obtained: (i) time constant, spatially inhomogeneous, (ii) time periodic, spatially homogeneous, and (iii) time periodic, travelling wave-like. Some applications in embryological problems are discussed. © 1981.

AB - A system of reaction-diffusion equations with applications in biological problems is presented and studied theoretically and numerically. Solutions demonstrating the following types of behaviour have been obtained: (i) time constant, spatially inhomogeneous, (ii) time periodic, spatially homogeneous, and (iii) time periodic, travelling wave-like. Some applications in embryological problems are discussed. © 1981.

UR - https://www.scopus.com/pages/publications/0347501202

M3 - Article

SN - 0167-2789

VL - 3

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EP - 456

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3

ER -

A mathematical model for pattern formation in biological systems

Abstract

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