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Mathematical Modelling of Kinetics and Pharmacokinetics of Microbial Processes In Vivo (Theoretical Consideration and Engineering Aspects)

Due to the complexity of microbial processes developing in infected macro-organisms the different approaches to their prevention and study are usually applied. Mathematical models can be an efficient tool for the study of process relationships. In this work, the mathematical model (defined system of a series of differential equations) convenient for a simultaneous study of pharmacokinetics and kinetics of possible microbial process events in infected body of hypothetical live organism, thought to be a mammalian of assigned relevant properties applicable for studies of possible events in the real human body, was developed. Computer simulations were applied to evaluate the convenience of the model in explaining the process relationships. In the model, infected organism pharmacokinetics, microbial growth, enclave formation, death and autolysis kinetics, organism immunity development, changes of organism body viability and non-viability, microbial production of toxic substances, pharmacokinetic substance effects on microbial cells and organism tissue were taken into account in developing the corresponding mathematical model. Results of computer simulations suggest that the developed model could be successfully applied in explaining a series of events in real live organisms expressing the properties analogous to those of hypothetical live macro-organism.

Microbial processes in vivo, Kinetics, Pharmacokinetics and mathematical modelling

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