A computational model of the effect of symplastic growth on cell mechanics in a linear leaf blade

Abstract

The epidermis of a linear leaf, as in Poaceae, is established by parallel files of cells originating from the leaf base. Their feature is symplastic growth where neighboring cell walls adhere and do not slide along each other. We developed a simple mechanical cell-based model for symplastic growth of linear leaf blade. The challenge is to determine what restrictions on cell size symplastic growth creates compared to the free growing cells. We assume an unidirectional growing cell ensemble starting from a meristem-like layer of generative cells and then generating parallel cell rows from every cell of the initial layer. Each cell is characterized by its growth function, and growth of the whole leaf blade is accompanied by mutual adjustment between all the cells. Cells divide once they have reached a threshold area. A mathematical model and its implementation are proposed for computational simulation of 1D symplastic growth of tissues. The question analyzed is how a cell grows in a plant tissue if there is a mechanism for regulating the growth of an isolated growing cell and the behavior of the cell wall matter is elastoplastic. The results of the simulation of linear leaf blade growth are compared to those for a free-growing cell population.

Mechanical Behavior of Cells within a Cell-Based Model of Wheat Leaf Growth

“…In our model, anisotropy in the 2D cell pattern arises due to its quasi-one-dimensional representation (see Section 2.3 of Methods) and does not require additional constrains on the movement of vertices. We model cells rather than cell walls in the formalism of “glued” DL-systems (Zubairova et al, 2015). In this framework, the cells segments are stacked into the cell files and neighboring cell files are glued into the leaf blade.…”

“…The model is an extension of our previous work (Zubairova et al, 2015), which takes the difference between cell growth and division rates in different parts of the leaf growth zone into account. By taking the geometrical characteristics of tissue into account, we constructed the model state variables so that we could explicitly express turgor and osmotic pressures in the cells.…”

Introductory note for BGRS\SB-2014 special issue

“…6 The paper by Petr Ponomarenko and Mikhail Ponomarenko \Sequence-based prediction of transcription up-regulation by auxin in plants" 7 describes nucleotide sequence analysis in genome scale in plants. The topic of plant development modeling continues in the paper \A computational model of the e®ect of symplastic growth on cell mechanics in a linear leaf blade" 8 by Ulyana Zubairova et al The paper by Irina M. Larina \Permanent proteins in the urine of healthy humans during the MARS-500 experiment" 9 presents application of bioinformatics to medical problems in unique proteomics experiment.…”