The well-known bottleneck of systems pharmacology, i. e., systems biology applied to pharmacology, refers to the model parameters determination from experimentally measured datasets. This paper represents the development of our earlier studies devoted to inverse (ill-posed) problems of model parameters identification. The key feature of this research is the introduction of control (or periodic forcing by an input signal being a drug intake) of the nonlinear model of drug-induced enzyme production in the form of a system of ordinary differential equations. First, we tested the model features under periodic dosing, and subsequently, we provided an innovative method for a parameter estimation based on the periodic dosing response measurement. A numerical example approved the satisfactory behavior of the proposed algorithm.
Chaos can be defined on bounded-state behaviour that is not equilibrium solution or a periodic solution or a quasiperiodic solution. The article is focused on analysis of dynamic properties of controlled drive systems and also on bifurcation of steady states and possible occurrence of chaotic behaviour. The purpose of this article is to provide an elementary introduction to the subject of chaos in the electromechanical drive systems. In this article, we explore chaotic solutions of maps and continuous time systems. The attractor associated with chaotic motion in state space is not a simple geometrical object like a finite number of points, a closed curve or a torus. Chaotic attractor is complex geometrical object that posses fractal dimensions. and Obsahuje seznam literatury
Let $S$ be topological semigroup, we consider an appropriate semigroup compactification $\widehat{S}$ of $S$. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of $\widehat{S}$, which arise as equivalence classes of some closed left congruence, and the minimal flow characterized by the left congruence. A particular topology is defined on a maximal group and it is shown that a closed subgroup under this topology is precisely the intersection of an equivalence class with the maximal group for some left congruence on $\widehat{S}$.
Chaos is present in many aspect of life. It is very difficult to detect and control chaotic behavior in nonlinear engineering dynamical systems. This contribution deals about some devices for generation of chaotic signals, for example about Chua's circuit, chaos module and analog chaotic oscillators. and Obsahuje seznam literatury