ALGEBRAIC MODELLING IN BIOLOGY, CHEMISTRY, PHYSICS

The purpose of our study is to conduct modelling of experiments aimed at studying physical, chemical or biological processes.


We consider experiment modelling related to the study of the properties of a certain process and the determination of its final results in terms of the experimental environment. We also consider backward modelling when the final results (properties of a physical entity, which is a substance or process) are specified and when finding the initial parameters and the corresponding actions leading to these properties is necessary. For example, it can be the task of modelling the radiation therapy process, when the energy of the proton beam, the length of its trajectory and the necessary characteristics of the irradiated substance are specified. In this case, modelling the processes of the interacting protons with matter, the depth at which the Bragg peak will be reached and other factors is possible. Backward modelling, in turn, will enable the identification of the required values of the beam energy, the angle and/or duration of irradiation to reach the Bragg peak at a given depth.


The implementation of this task requires formalisation or the formal presentation of the subject area knowledge within which the experiment is conducted. Knowledge formalisation can be carried out at any level of abstraction — at the level of the atomic structure of substances and quantum–mechanical interactions, at the level of the molecular structure of substances, taking into account their intermolecular interactions, at the level of interacting substances and at the level of biological objects. The appropriate level of abstraction should be chosen according to the purpose of the experiment and in consideration of the impact on the results from the lowest level of abstraction.

DEMO:

Description of the technology on the example of proton therapy:

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