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Frequency-associated transition from single-cell asynchronous motion to monotonic growth.

ABSTRACT: This paper presents a Fourier analysis of the Ortega equation that examines the growth dynamics of plants, specifically the pollen tubes or non-meristematic zones of elongating coleoptiles. A frequency-induced transition from highly nonlinear (periodical) growth-like the one observed in pollen tubes-to monotonically ascending and asymptotically saturated (sigmoid-like) growth, which is anticipated within the framework of a 'two-fluid model', is shown. A dynamic phase diagram is calculated and presented in the form of a live video clip.

SUBMITTER: Lipowczan M

PROVIDER: S-EPMC5696300 | biostudies-literature | 2017 Dec

REPOSITORIES: biostudies-literature

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Frequency-associated transition from single-cell asynchronous motion to monotonic growth.

Lipowczan Marcin M Pietruszka Mariusz M

Journal of biological physics 20170912 4

This paper presents a Fourier analysis of the Ortega equation that examines the growth dynamics of plants, specifically the pollen tubes or non-meristematic zones of elongating coleoptiles. A frequency-induced transition from highly nonlinear (periodical) growth-like the one observed in pollen tubes-to monotonically ascending and asymptotically saturated (sigmoid-like) growth, which is anticipated within the framework of a 'two-fluid model', is shown. A dynamic phase diagram is calculated and pr ...[more]

PMID: 28900825

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