[A mathematical model for variations in the functional state of a living organism under external regular load]
Related Experiment Video
Updated: Sep 29, 2026

The Use of Chemostats in Microbial Systems Biology
Published on: October 14, 2013
1Kaliningrad State Technical University, Sovetskii pr. 1, Kaliningrad, 236000 Russia.
Abstract:
On the basis of the nonlinear model of the overdamped Duffing oscillator, the adaptation of the living organism to regular external loads (constant and periodical) was studied. It was shown that this model describes the stages of strain and resistance. In the resistance stage, a superadaptation phase may be observed, which exceeds by functional shift its asymptotic volume. This stage has a threshold character with respect to load. It was shown that the theoretical results coincide with the experimental data obtained under periodical loads. The conclusion about the existence of optimal load frequency, which leads to a maximum heating of the organism. The differences between the responses of organisms with strong and weak immunities to the harmonic actions were analyzed.
Related Concept Videos
Modeling with Differential Equations
Exponential Equations for Modeling Growth
Mechanistic Models: Compartment Models in Individual and Population Analysis
Non-equilibrium in the Cell
Pharmacokinetic Models: Comparison and Selection Criterion
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
