Multiscale Models in the Biomechanics of Plant Growth

Jensen, Oliver E.; Fozard, John A.

doi:10.1152/physiol.00030.2014

Cited by 33 publications

(39 citation statements)

References 80 publications

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“…Since it is extremely difficult to examine complex interdependent processes occurring at multiple spatio-temporal scales, mathematical modeling can be used as a complementary tool with which to disentangle component processes and investigate how their coupling may lead to emergent patterns at a systems level (Hamant et al, 2008;Band and King, 2012;Jensen and Fozard, 2015). To be practical, a multiscale model should generate well-constrained predictions despite significant parameter uncertainty (Gutenkunst et al, 2007;Hofhuis et al, 2016).…”

Section: Integrating Models From Different Levels Of Organizationmentioning

confidence: 99%

Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

2017

Frontiers Research Topics

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The geometries and topologies of leaves, flowers, roots, shoots, and their arrangements have fascinated plant biologists and mathematicians alike. As such, plant morphology is inherently mathematical in that it describes plant form and architecture with geometrical and topological techniques. Gaining an understanding of how to modify plant morphology, through molecular biology and breeding, aided by a mathematical perspective, is critical to improving agriculture, and the monitoring of ecosystems is vital to modeling a future with fewer natural resources. In this white paper, we begin with an overview in quantifying the form of plants and mathematical models of patterning in plants. We then explore the fundamental challenges that remain unanswered concerning plant morphology, from the barriers preventing the prediction of phenotype from genotype to modeling the movement of leaves in air streams. We end with a discussion concerning the education of plant morphology synthesizing biological and mathematical approaches and ways to facilitate research advances through outreach, cross-disciplinary training, and open science. Unleashing the potential of geometric and topological approaches in the plant sciences promises to transform our understanding of both plants and mathematics.

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Section: Integrating Models From Different Levels Of Organizationmentioning

confidence: 99%

Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

2017

Frontiers Research Topics

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“…Software solutions such as MorphoGraphX are being used to understand the actions driving and guiding this anisotropy at the tissue and cellular scale (Bassel et al ., ). The attraction of these approaches is the ability to feed time‐series data of cell size and shape into mathematical models that estimate the physical forces on the tissue (Hamant et al ., ; Sampathkumar et al ., , reviewed by Ali et al ., ; Sampathkumar et al ., ; Jensen & Fozard, )…”

Section: Generic Software Environments Versus Bespoke Toolsmentioning

confidence: 99%

“…But if you shave off a very thin piece from this board, parallel to the plain of it, you will cut all the pores transversly, and they will appear almost as they are express'd in the Figure A' Software solutions such as MorphoGraphX are being used to understand the actions driving and guiding this anisotropy at the tissue and cellular scale (Bassel et al, 2014). The attraction of these approaches is the ability to feed time-series data of cell size and shape into mathematical models that estimate the physical forces on the tissue (Hamant et al, 2008;Sampathkumar et al, 2014b, reviewed by Ali et al, 2014Sampathkumar et al, 2014a;Jensen & Fozard, 2015)…”

Section: Generic Software Environments Versus Bespoke Toolsmentioning

confidence: 99%

Making microscopy count: quantitative light microscopy of dynamic processes in living plants

Fricker

Moger

Littlejohn

et al. 2016

Journal of Microscopy

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Summary Cell theory has officially reached 350 years of age as the first use of the word ‘cell’ in a biological context can be traced to a description of plant material by Robert Hooke in his historic publication ‘Micrographia: or some physiological definitions of minute bodies’. The 2015 Royal Microscopical Society Botanical Microscopy meeting was a celebration of the streams of investigation initiated by Hooke to understand at the subcellular scale how plant cell function and form arises. Much of the work presented, and Honorary Fellowships awarded, reflected the advanced application of bioimaging informatics to extract quantitative data from micrographs that reveal dynamic molecular processes driving cell growth and physiology. The field has progressed from collecting many pixels in multiple modes to associating these measurements with objects or features that are meaningful biologically. The additional complexity involves object identification that draws on a different type of expertise from computer science and statistics that is often impenetrable to biologists. There are many useful tools and approaches being developed, but we now need more interdisciplinary exchange to use them effectively. In this review we show how this quiet revolution has provided tools available to any personal computer user. We also discuss the oft‐neglected issue of quantifying algorithm robustness and the exciting possibilities offered through the integration of physiological information generated by biosensors with object detection and tracking.

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“…Due to the impact of cell wall anisotropy on plant tissue biomechanics and the importance of multiscale modelling of plant biomechanics (Baskin 2005; Baskin and Jensen 2013; Jensen and Fozard 2015), knowing the orientation of the microfibrils in each part of the plant cell walls and the qualitative and quantitative impact of the microfibrils orientation and distribution on the mechanical properties of cell walls and tissues is essential.…”

Section: Introductionmentioning

confidence: 99%

The Impact of Microfibril Orientations on the Biomechanics of Plant Cell Walls and Tissues

Ptashnyk

Seguin

2016

Bull Math Biol

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The microscopic structure and anisotropy of plant cell walls greatly influence the mechanical properties, morphogenesis, and growth of plant cells and tissues. The microscopic structure and properties of cell walls are determined by the orientation and mechanical properties of the cellulose microfibrils and the mechanical properties of the cell wall matrix. Viewing the shape of a plant cell as a square prism with the axis aligning with the primary direction of expansion and growth, the orientation of the microfibrils within the side walls, i.e. the parts of the cell walls on the sides of the cells, is known. However, not much is known about their orientation at the upper and lower ends of the cell. Here we investigate the impact of the orientation of cellulose microfibrils within the upper and lower parts of the plant cell walls by solving the equations of linear elasticity numerically. Three different scenarios for the orientation of the microfibrils are considered. We also distinguish between the microstructure in the side walls given by microfibrils perpendicular to the main direction of the expansion and the situation where the microfibrils are rotated through the wall thickness. The macroscopic elastic properties of the cell wall are obtained using homogenization theory from the microscopic description of the elastic properties of the cell wall microfibrils and wall matrix. It is found that the orientation of the microfibrils in the upper and lower parts of the cell walls affects the expansion of the cell in the lateral directions and is particularly important in the case of forces acting on plant cell walls and tissues.

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Multiscale Models in the Biomechanics of Plant Growth

Cited by 33 publications

References 80 publications

Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

Making microscopy count: quantitative light microscopy of dynamic processes in living plants

The Impact of Microfibril Orientations on the Biomechanics of Plant Cell Walls and Tissues

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