Modeling of the Primary Plant Cell Wall in the Context of Plant Development

Geitmann, Anja; Dyson, Rosemary

doi:10.1007/978-1-4614-7881-2_8-1

Cited by 5 publications

(3 citation statements)

References 43 publications

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“…Finally, numerous other mathematical approaches have been used to model selected aspects of cell wall mechanics and growth (reviewed in Geitmann and Ortega, 2009 ; Geitmann and Dyson, 2014 ; Smithers et al, 2019 ). They are often based on continuum mechanics or partial differential equations describing biochemical or biophysical processes, where individual polymers are not represented but their collective behaviors are abstracted to a higher level.…”

Section: Cell Wall Models: Relating Structure To Mechanics and Polyme...mentioning

confidence: 99%

Building an extensible cell wall

Cosgrove

2022

Plant Physiology

121

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This article recounts, from my perspective of four decades in this field, evolving paradigms of primary cell wall structure and the mechanism of surface enlargement of growing cell walls. Updates of the structures, physical interactions, and roles of cellulose, xyloglucan, and pectins are presented. This leads to an example of how a conceptual depiction of wall structure can be translated into an explicit quantitative model based on molecular dynamics methods. Comparison of the model’s mechanical behavior with experimental results provides insights into the molecular basis of complex mechanical behaviors of primary cell wall and uncovers the dominant role of cellulose–cellulose interactions in forming a strong yet extensible network.

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Section: Cell Wall Models: Relating Structure To Mechanics and Polyme...mentioning

confidence: 99%

Building an extensible cell wall

Cosgrove

2022

Plant Physiology

121

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“…Existing reviews which examine the principles of plant growth mechanics include Geitmann and Dyson (2013), Geitmann and Ortega (2009), Prusinkiewicz (2004) and Bruce (2003). Chebli and Geitmann (2007) review specifically the mechanics of pollen tube growth.…”

Section: Introductionmentioning

confidence: 99%

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

Smithers

Luo

Dyson

2019

Journal of Experimental Botany

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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.

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“…The most established way to model the mechanics of plant development is in terms of continuum mechanics [22][23][24][25][26]. The application of continuous mechanical models has resulted in important insights, for example the demonstration that mechanical signals together with auxin patterning synergystically regulate plant shoot morphogenesis [15,27].…”

Section: Introductionmentioning

confidence: 99%

Discrete Mechanical Growth Model for Plant Tissue

Weise

Tusscher

2018

Preprint

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We present a discrete mechanical model to study plant development. The method is built up of mass points, springs and hinges mimicking the plant cell wall's microstructure. To model plastic growth the resting lengths of springs are adjusted; when springs exceed a threshold length, new mass points, springs and hinges, are added. We formulate a stiffness tensor for the springs and hinges as a function of the fourth rank tensor of elasticity and the geometry of the mesh. This allows us to approximate the material law as a generalized orthotropic Hooke's law, and control material properties during growth. The material properties of the model are illustrated in numerical simulations for finite strain and plastic growth. To solve the equations of motion of mass points we assume elastostatics and use Verlet integration. The method is demonstrated in simulations when anisotropic growth causes emergent residual strain fields in cell walls and a bending of tissue. The method can be used in multilevel models to study plant development, for example by coupling it to models for cytoskeletal, hormonal and gene regulatory processes.

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Modeling of the Primary Plant Cell Wall in the Context of Plant Development

Cited by 5 publications

References 43 publications

Building an extensible cell wall

Building an extensible cell wall

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

Discrete Mechanical Growth Model for Plant Tissue

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