Difference between revisions of "Resources:Quantum-like modeling in biology with open quantum systems and instruments"

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 The standard mathematical methods were originally developed to
-serve classical physics. The real analysis served as the mathematical
+serve classical physics. The real analysis served as the mathematical basis of Newtonian mechanics (Newton, 1687) (and later Hamiltonian formalism); classical statistical mechanics stimulated the measure-theoretic approach to probability theory, formalized in Kolmogorov’s
-basis of Newtonian mechanics (Newton, 1687) (and later Hamiltonian formalism); classical statistical mechanics stimulated the measure-theoretic approach to probability theory, formalized in Kolmogorov’s
+axiomatics (Kolmogorov, 1933). However, behavior of biological systems differ essentially from behavior of mechanical systems, say rigid bodies, gas molecules, or fluids. Therefore, although the ‘‘classical mathematics’’ still plays the crucial role in biological modeling, it seems that it cannot fully describe the rich complexity of biosystems
-axiomatics (Kolmogorov, 1933). However, behavior of biological systems differ essentially from behavior of mechanical systems, say rigid
-bodies, gas molecules, or fluids. Therefore, although the ‘‘classical
-mathematics’’ still plays the crucial role in biological modeling, it
-seems that it cannot fully describe the rich complexity of biosystems
 and peculiarities of their behavior — as compared with mechanical
 systems. New mathematical methods for modeling biosystems are on

Resources:Quantum-like modeling in biology with open quantum systems and instruments (view source)