Titlebook: Stochastic Chemical Reaction Systems in Biology; Hong Qian,Hao Ge Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusi

名次后缀

很像弓]

Defense

Mesoscopic Thermodynamics of Markov ProcessesIn the present chapter, we will follow Boltzmann’s spirit and mathematically introduce the notion of entropy into stochastic dynamics as represented by Markov processes.

丛林

Emergent Macroscopic Chemical ThermodynamicsCompared with the macroscopic chemical thermodynamics we have touched upon in Sections 2.2 and 2.5, J. W. Gibbs’ equilibrium statistical mechanics is a much more widely known contribution to the theoretical science, in which he first formulated the . and discussed a variational principle for equilibrium.

nitroglycerin

Phase Transition and Mesoscopic Nonlinear BistabilityThe phenomenon of ., in a nutshell, is associated with a bistable, nonlinear stochastic dynamical system The system undergoes a change via a saddlenode bifurcation with . as t → ∞, followed by the stochasticity (noise, fluctuations) tending to zero.

浮雕

Classic Enzyme Kinetics—The Michaelis–Menten and Briggs–Haldane TheoriesMany chemical reactions inside a cell are very slow if the reactants are simply mixed alone as a multicomponent aqueous solution in a test tube.

enfeeble

Single-Molecule Enzymology and Driven Biochemical Kinetics with ChemostatThe new millennium has witnessed a resurgence of interest in the theory of enzyme kinetics due to several developments in biochemical research: The foremost was the systems approach to cell biology, which demands quantitative representations of cellular enzymatic reactions in terms of Michaelis–Menten (MM)-like kinetics.

Dorsal

Stochastic Linear Reaction Kinetic SystemsIn Chapter 10, we discussed the single-molecular enzyme kinetics, which consists of a set of unimolecular, or pseudo first-order reactions representing conformational transitions of an individual enzyme molecule.

Interlocking

Kinetics of the Central Dogma of Molecular Cell BiologyIn a living cell, there is usually only one copy of a particular gene. The genetic information encoded in DNA needs to be “expressed” in terms of biochemically functioning proteins and enzymes, and their numbers, as well as their locations, inside a cell matter.

蜡烛