Mathematical principles and models of plant growth mechanics: from cell wall dynamics to tissue morphogenesis

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Mathematical principles and models of plant growth mechanics : from cell wall dynamics to tissue morphogenesis. / Smithers, Euan; Luo, Jingxi; Dyson, Rosemary.

In: Journal of Experimental Botany, Vol. 70, No. 14, 01.07.2019, p. 3587–3600.

Research output: Contribution to journalReview articlepeer-review

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@article{bb083f9a2d7b408286ab7ba1ee1ee7c1,
title = "Mathematical principles and models of plant growth mechanics: from cell wall dynamics to tissue morphogenesis",
abstract = "Plant growth research produces a catalogue of complex open questions. We argue that plant growth is a highly mechanical process, and that mathematics gives an underlying framework with which to probe its fundamental unrevealed mechanisms. This review serves to illustrate the biological insights afforded by mathematical modelling and demonstrate the breadth of mathematically-rich problems available within plant sciences, thereby promoting a mutual appreciation across the disciplines. On the one hand, we explain the general mathematical principles behind mechanical growth models; on the other, we describe how modelling addresses specific problems in microscale cell wall mechanics, tip growth, morphogenesis and stress feedback. We conclude by identifying possible future directions for both biologists and mathematicians, including as-yet unanswered questions within various topics, stressing that interdisciplinary collaboration is vital for tackling the challenge of understanding plant growth mechanics.",
keywords = "growth, mechanics, microtubules, modelling, morphogenesis, pollen tubes, shoot apical meristem",
author = "Euan Smithers and Jingxi Luo and Rosemary Dyson",
year = "2019",
month = jul,
day = "1",
doi = "10.1093/jxb/erz253",
language = "English",
volume = "70",
pages = "3587–3600",
journal = "Journal of Experimental Botany",
issn = "0022-0957",
publisher = "Oxford University Press",
number = "14",

}

RIS

TY - JOUR

T1 - Mathematical principles and models of plant growth mechanics

T2 - from cell wall dynamics to tissue morphogenesis

AU - Smithers, Euan

AU - Luo, Jingxi

AU - Dyson, Rosemary

PY - 2019/7/1

Y1 - 2019/7/1

N2 - Plant growth research produces a catalogue of complex open questions. We argue that plant growth is a highly mechanical process, and that mathematics gives an underlying framework with which to probe its fundamental unrevealed mechanisms. This review serves to illustrate the biological insights afforded by mathematical modelling and demonstrate the breadth of mathematically-rich problems available within plant sciences, thereby promoting a mutual appreciation across the disciplines. On the one hand, we explain the general mathematical principles behind mechanical growth models; on the other, we describe how modelling addresses specific problems in microscale cell wall mechanics, tip growth, morphogenesis and stress feedback. We conclude by identifying possible future directions for both biologists and mathematicians, including as-yet unanswered questions within various topics, stressing that interdisciplinary collaboration is vital for tackling the challenge of understanding plant growth mechanics.

AB - Plant growth research produces a catalogue of complex open questions. We argue that plant growth is a highly mechanical process, and that mathematics gives an underlying framework with which to probe its fundamental unrevealed mechanisms. This review serves to illustrate the biological insights afforded by mathematical modelling and demonstrate the breadth of mathematically-rich problems available within plant sciences, thereby promoting a mutual appreciation across the disciplines. On the one hand, we explain the general mathematical principles behind mechanical growth models; on the other, we describe how modelling addresses specific problems in microscale cell wall mechanics, tip growth, morphogenesis and stress feedback. We conclude by identifying possible future directions for both biologists and mathematicians, including as-yet unanswered questions within various topics, stressing that interdisciplinary collaboration is vital for tackling the challenge of understanding plant growth mechanics.

KW - growth

KW - mechanics

KW - microtubules

KW - modelling

KW - morphogenesis

KW - pollen tubes

KW - shoot apical meristem

U2 - 10.1093/jxb/erz253

DO - 10.1093/jxb/erz253

M3 - Review article

VL - 70

SP - 3587

EP - 3600

JO - Journal of Experimental Botany

JF - Journal of Experimental Botany

SN - 0022-0957

IS - 14

ER -