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4 papers
New understanding of steady states in biological systems
K. A. Khadartsevaa,
O. E. Filatova a Tula State University, Tula, Russian Federation
Abstract:
Within the existing theory of dynamic systems, steady states of any dynamic system are described as
$dx/dt=0$, for the state vector of the system
$x=x(t)=(x_{1}, x_{2},{\dots}, x_{m})^{T}$ in the
$m$-dimensional state phase space. From the stochastic point of view, the preservation of the statistical distribution function
$f(x)$ or its properties (statistical mathematical expectation
$<x>$, statistical variance
$Dx^*$, the spectral density of the signal, autocorrelation, etc.) within certain (statistical) assumptions is sufficient for the system to remain unchanged. However, in the living nature any parameters
$x_{i}(t)$ of the entire state vector
$x(t)$ of the biosystem show continuous, chaotic motion in the state phase space. There are no statistical stability in
$x_{i}(t)$ samples, which is called the Eskov–Zinchenko effect. We introduce the concept of a pseudoattractor similar to the Heisenberg uncertainty principle and define two types of uncertainties: 1
${}^{st}$ and 2
${}^{nd}$. As a result, we inverse the concepts: what in physics (and biomedicine) is now considered to be a steady state is kinematics (the motion of
$x(t)$ in the state phase space), and the motion of biosystems is (for them) a steady state.
Keywords:
standard, steady state, Eskov–Zinchenko effect.
DOI:
10.51790/2712-9942-2022-3-3-10