Sergey Nikolaev

A model study of the role of proteins CLV1, CLV2, CLV3, and WUS in regulation of the structure of the shoot apical meristem

In order to elucidate the role of proteins CLV1, CLV2, CLV3, and WUS in the mechanism underlying the maintenance of compartmental structure (spatial arrangement of the zones of biosynthesis of marker proteins) of the shoot apical meristem, a model of such mechanism was developed. Computational experiments led to biologically plausible solutions only when synthesis of substance W in a space between the organizing center and meristem apex was limited by the mechanism based on interaction of CLV3 with membrane receptor CLV1/CLV2 and lower boundary of the zone of W synthesis was determined by isoline of the corresponding threshold level of substance Y concentration. The model of the “reaction-diffusion” type formalizing the role proteins CLV1/CLV2, CLV3, and WUS can describe the basis of the mechanism underlying regulation of the compartmental structure of the shoot apical meristem and positioning of the organizing center in a certain site of the cell ensemble of such meristem.

Model of structuring the stem cell niche in shoot apical meristem of Arabidopsis thaliana.

Author(s): Nikolaev, SV; Zubairova, US; Penenko, AV; Mjolsness, ED; Shapiro, BE; Kolchanov, NA

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

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

Understanding the principles and mechanisms of cell growth coordination in plant tissue remains an outstanding challenge for modern developmental biology. Cell-based modeling is a widely used technique for studying the geometric and topological features of plant tissue morphology during growth. We developed a quasi-one-dimensional model of unidirectional growth of a tissue layer in a linear leaf blade that takes cell autonomous growth mode into account. The model allows for fitting of the visible cell length using the experimental cell length distribution along the longitudinal axis of a wheat leaf epidermis. Additionally, it describes changes in turgor and osmotic pressures for each cell in the growing tissue. Our numerical experiments show that the pressures in the cell change over the cell cycle, and in symplastically growing tissue, they vary from cell to cell and strongly depend on the leaf growing zone to which the cells belong. Therefore, we believe that the mechanical signals generated by pressures are important to consider in simulations of tissue growth as possible targets for molecular genetic regulators of individual cell growth.