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It is important to note that, inherently, biological pathways and their networks are nonlinear systems and, as such, their behavior cannot be described with a simple linear relationships between all components.
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A large class of natural phenomena with time evolution behaviors cannot be described by the classical Brownian motion.
As for the magnetic response of X− in QDs, we observe an anomalous diamagnetic behavior, which cannot be described by the conventional quadratic energy shift with the applied B. Such anomalous behaviors for X− can be attributed to the apparent change in the electron wave function extent after photon emission due to the strong Coulomb attraction by the hole in its initial state.
It is often the case that the quantum chaology literature uses a broader notion of chaos as behavior that "cannot be described as a superposition of independent one-dimensional motions" (Ponomarenko, et al. 2008, p. 357); in other words, a form of inseparability.
In addition, our findings confirm previously developed concept according to that diffusion in ionic liquids disobeys the Stokes Einstein equation and the transport behavior in ionic liquids cannot be described in terms of "classical" model of diffusion.
Notice that the temporal behavior of the PL cannot be described by a simple exponential decay function (see the semi-logarithmic scale of Figure 2) and is typically fitted to a stretched exponential decay function [54, 55].
A distributed load control reveals that the overall behavior of the architectured material cannot be described within the realm of Cauchy elasticity.
Thus, the dynamic behavior of a genetic network cannot be described if it is perturbed by mutations (e.g. tumors) or external factors (e.g. chemicals).
In this study, we demonstrate that medaka CYP3A catalysis exhibits unusual kinetic behaviors consistent with allosteric interaction which cannot be described by hyperbolic kinetic models.
We have introduced the issue of computational (or algorithmic) irreducibility when we explained the philosophical consequence of a universality proof for an automaton, namely that, although a system follows definite underlying laws, "its overall behavior can still have aspects that fundamentally cannot be described by reasonable laws" (Wolfram 2002, p. 750).
Torture cannot be described.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com