The next meeting of the seminar of the
Mathematical Modeling and Numerical Analysis Department 
will be held on January 30, 2025, at 2:00 pm in Zoom. 

A talk on:

Some mathematical aspects of simulation modeling of physiological processes in plants

will be delivered by Dr. Alex Topaj (Bureau Hyperborea Ltd).

Abstract: The contribution presents the author’s experience of using mathematical methods to describe plant physiology processes in applied crop models. In contrast to the simplified data-based empirical approach, the mechanistic description of plant vital processes in theory allows us to obtain new knowledge and to develop the universal crop models with parameters having physical meaning. Such explanatory models, in addition to the traditional cause-and-effect method (the flow-balance approach, leading to systems of differential or difference equations), can also successfully apply the alternative mathematical apparatus. The following examples of such use will be briefly presented:
1) Organogenesis and phenological development of cereals. Dry matter distribution in the «shoot-root-ear» system as an optimal control problem of dynamic resource allocation.
2) Stomatal Regulation. The functional balance between photosynthesis and transpiration under water stress.
3) Biological nitrogen fixation of legumes. The interaction of active intellectual agents (plant and rhizobia) as an evolutionary game.