Modelling Kinetics in Intestinal Compartment of Human Body as a Function of Applied Probiotics

Abstract

Modelling Kinetics in Intestinal Compartment of Human Body as a Function of Applied Probiotics Antibiotic treatments of human body microbial infections are frequently accompanied with a series of side effects which require adequate actions. This work refers to mathematical modelling of process states in a human body appearing during infection, its treatment with antibiotics and consequent application of probiotics. A mathematical model composed of 28 differential equations is being applied to describe a) pharmacokinetics of antibiotic transfer and action, human body viability changes, probiotics transit and changes in intestinal microbiota, b) kinetics of pathogenic microbial infection and infected organism immunity development, and c) intestinal tumor growth kinetics. Computer simulation has been applied to test the adequacy of applied mathematical model. Results of computer simulations expressed graphically and in tables, confirm the model adequacy for explaining process events connected with human body infections and consequent antibiotics and probiotics treatments.