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Biomedical subjects

Jacques Dumais

Publications and source records attributed to Jacques Dumais.

5 recordsLinked to original sources

An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth.

Plant cell morphogenesis depends critically on two processes: the deposition of new wall material at the cell surface and the mechanical deformation of this material by the stresses resulting from the cell's turgor pressure. We developed a model of plant cell morphogenesis that is a first attempt at integrating these two processes. The model is based on the theories of thin shells and anisotropic viscoplasticity. It includes three sets of equations that give the connection between wall stresses, wall strains and cell geometry. We present an algorithm to solve these equations numerically. Application of this simulation approach to the morphogenesis of tip-growing cells illustrates how the viscoplastic properties of the cell wall affect the shape of the cell at steady state. The same simulation approach was also used to reproduce morphogenetic transients such as the initiation of tip growth and other non-steady changes in cell shape. Finally, we show that the mechanical anisotropy built into the model is required to account for observed patterns of wall expansion in plant cells.

Anisotropy↗

How the Venus flytrap snaps.

The rapid closure of the Venus flytrap (Dionaea muscipula) leaf in about 100 ms is one of the fastest movements in the plant kingdom. This led Darwin to describe the plant as "one of the most wonderful in the world". The trap closure is initiated by the mechanical stimulation of trigger hairs. Previous studies have focused on the biochemical response of the trigger hairs to stimuli and quantified the propagation of action potentials in the leaves. Here we complement these studies by considering the post-stimulation mechanical aspects of Venus flytrap closure. Using high-speed video imaging, non-invasive microscopy techniques and a simple theoretical model, we show that the fast closure of the trap results from a snap-buckling instability, the onset of which is controlled actively by the plant. Our study identifies an ingenious solution to scaling up movements in non-muscular engines and provides a general framework for understanding nastic motion in plants.

Biomechanical Phenomena↗

The mechanics of surface expansion anisotropy in Medicago truncatula root hairs.

Wall expansion in tip-growing cells shows variations according to position and direction. In Medicago truncatula root hairs, wall expansion exhibits a strong meridional gradient with a maximum near the pole of the cell. Root hair cells also show a striking expansion anisotropy, i.e. over most of the dome surface the rate of circumferential wall expansion exceeds the rate of meridional expansion. Concomitant measurements of expansion rates and wall stresses reveal that the extensibility of the cell wall must vary abruptly along the meridian of the cell to maintain the gradient of wall expansion. To determine the mechanical basis of expansion anisotropy, we compared measurements of wall expansion with expansion patterns predicted from wall structural models that were either fully isotropic, transversely isotropic, or fully anisotropic. Our results indicate that a model based on a transversely isotropic wall structure can provide a good fit of the data although a fully anisotropic model offers the best fit overall. We discuss how such mechanical properties could be controlled at the microstructural level.

Anisotropy↗

Growth and morphogenesis at the vegetative shoot apex of Anagallis arvensis L.

A non-destructive replica method and a 3-D reconstruction algorithm are used to analyse the geometry and expansion of the shoot apex surface. Surface expansion in the central zone of the apex is slow and nearly isotropic while surface expansion in the peripheral zone is more intense and more anisotropic. Within the peripheral zone, the expansion rate, expansion anisotropy, and the direction of maximal expansion vary according to the age of adjacent leaf primordia. For each plastochron, this pattern of expansion is rotated around the apex by the Fibonacci angle. Early leaf primordium development is divided into four stages: bulging, lateral expansion, separation, and bending. These stages differ in their geometry and expansion pattern. At the bulging stage, the site of primordium initiation shows an intensified expansion that is nearly isotropic. The following stages develop sharp meridional gradients of expansion rates and anisotropy. The adaxial primordium boundary inferred from the surface curvature is shifting until the separation stage, when a crease develops between the primordium and the apex dome. The cells forming the crease, i.e. the future leaf axil, expand along the axil and contract across it. Thus they are arrested in this unique position.

Algorithms↗

Analysis of surface growth in shoot apices.

A salient feature of shoot meristem growth is the maintenance of distinct anatomical and morphological features despite a continuous flux of cells. To investigate how meristem organization is self-perpetuated, we developed a protocol for the analysis of meristem growth in 3-D. Our protocol uses a non-destructive replica method to follow the pattern of cell expansion and cell divisions on the meristem surface over several days. Algorithms to reconstruct the meristem surface and compute its curvature and rate of extension were implemented. We applied this approach to the shoot apical meristem of Anagallis arvensis and showed that a subcellular resolution of extension rates can be achieved. This is the first detailed quantitative analysis of meristem geometry and surface expansion in 3-D. This new approach will be useful to connect cellular activities such as cell expansion, cell division, and differential gene expression with overall meristem morphogenesis.

Algorithms↗