ArticleOpen biology2019
Volumetric finite-element modelling of biological growth.
Article in Open biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed, 24 citations in OpenAlex.
- Deciphering the interplay between biology and physics with a finite element method-implemented vertex organoid model: A tool for the mechanical analysis of cell behavior on a spherical organoid shell.PLoS computational biology · 2025Article
- Growth regulation bringing modularity to morphogenesis of complex three-dimensional exoskeletons.Proceedings. Biological sciences · 2024Article
- Cell wall dynamics: novel tools and research questions.Journal of experimental botany · 2023Review
- Computer models of cell polarity establishment in plants.Plant physiology · 2023Review
- Diversification of ranunculaceous petals in shape supports a generalized model for plant lateral organ morphogenesis and evolution.Science advances · 2023Article
- Intelligent resolution: Integrating Cryo-EM with AI-driven multi-resolution simulations to observe the severe acute respiratory syndrome coronavirus-2 replication-transcription machinery in action.The international journal of high performance computing applications · 2022Article
- Using positional information to provide context for biological image analysis with MorphoGraphX 2.0.eLife · 2022Article
- Tools for computational analysis of moving boundary problems in cellular mechanobiology.Wiley interdisciplinary reviews. Systems biology and medicine · 2020Review
- The morphology, molecular development and ecological function of pseudonectaries on Nigella damascena (Ranunculaceae) petals.Nature communications · 2020Article
- Shaping of a three-dimensional carnivorous trap through modulation of a planar growth mechanism.PLoS biology · 2019Article
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
Differential growth is the driver of tissue morphogenesis in plants, and also plays a fundamental role in animal development. Although the contributions of growth to shape change have been captured through modelling tissue sheets or isotropic volumes, a framework for modelling both isotropic and anisotropic volumetric growth in three dimensions over large changes in size and shape has been lacking. Here, we describe an approach based on finite-element modelling of continuous volumetric structures, and apply it to a range of forms and growth patterns, providing mathematical validation for examples that admit analytic solution. We show that a major difference between sheet and bulk tissues is that the growth of bulk tissue is more constrained, reducing the possibility of tissue conflict resolution through deformations such as buckling. Tissue sheets or cylinders may be generated from bulk shapes through anisotropic specified growth, oriented by a polarity field. A second polarity field, orthogonal to the first, allows sheets with varying lengths and widths to be generated, as illustrated by the wide range of leaf shapes observed in nature. The framework we describe thus provides a key tool for developing hypotheses for plant morphogenesis and is also applicable to other tissues that deform through differential growth or contraction.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.