Growth induced curve dynamics for filamentary micro-organisms

Alain Goriely; György Károlyi; Michael Tabor

doi:10.1007/s00285-005-0328-4

Growth induced curve dynamics for filamentary micro-organisms

Alain Goriely, György Károlyi, Michael Tabor

Applied Mathematics

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

11 Scopus citations

Abstract

The growth of filamentary micro-organisms is described in terms of the geometry of evolving planar curves in which the dynamics is determined by an underlying growth process. Steadily propagating tip shapes in two and three dimensions are found that are consistent with experimentally observed growth sequences.

Original language	English (US)
Pages (from-to)	355-366
Number of pages	12
Journal	Journal of mathematical biology
Volume	51
Issue number	3
DOIs	https://doi.org/10.1007/s00285-005-0328-4
State	Published - Sep 2005

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/s00285-005-0328-4

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title = "Growth induced curve dynamics for filamentary micro-organisms",

abstract = "The growth of filamentary micro-organisms is described in terms of the geometry of evolving planar curves in which the dynamics is determined by an underlying growth process. Steadily propagating tip shapes in two and three dimensions are found that are consistent with experimentally observed growth sequences.",

author = "Alain Goriely and Gy{\"o}rgy K{\'a}rolyi and Michael Tabor",

year = "2005",

month = sep,

doi = "10.1007/s00285-005-0328-4",

language = "English (US)",

volume = "51",

pages = "355--366",

journal = "Journal of mathematical biology",

issn = "0303-6812",

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T1 - Growth induced curve dynamics for filamentary micro-organisms

AU - Goriely, Alain

AU - Károlyi, György

AU - Tabor, Michael

PY - 2005/9

Y1 - 2005/9

N2 - The growth of filamentary micro-organisms is described in terms of the geometry of evolving planar curves in which the dynamics is determined by an underlying growth process. Steadily propagating tip shapes in two and three dimensions are found that are consistent with experimentally observed growth sequences.

AB - The growth of filamentary micro-organisms is described in terms of the geometry of evolving planar curves in which the dynamics is determined by an underlying growth process. Steadily propagating tip shapes in two and three dimensions are found that are consistent with experimentally observed growth sequences.

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AN - SCOPUS:24344481368

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SP - 355

EP - 366

JO - Journal of mathematical biology

JF - Journal of mathematical biology

IS - 3

ER -

Growth induced curve dynamics for filamentary micro-organisms

Abstract

ASJC Scopus subject areas

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