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Reaction kinetics in intracellular environments with macromolecular crowding: simulations and rate laws
Authors:Schnell S  Turner T E
Institution:

a Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles’, Oxford OX1 3LB, UK

b Christ Church, Oxford OX1 1DP, UK

c Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24-29 St Giles’, Oxford OX1 3LB, UK

Abstract:We review recent evidence illustrating the fundamental difference between cytoplasmic and test tube biochemical kinetics and thermodynamics, and showing the breakdown of the law of mass action and power-law approximation in in vivo conditions. Simulations of biochemical reactions in non-homogeneous media show that as a result of anomalous diffusion and mixing of the biochemical species, reactions follow a fractal-like kinetics. Consequently, the conventional equations for biochemical pathways fail to describe the reactions in in vivo conditions. We present a modification to fractal-like kinetics following the Zipf–Mandelbrot distribution which will enable the modelling and analysis of biochemical reactions occurring in crowded intracellular environments.
Keywords:Macromolecular crowding  Intracellular environment  Reaction rate  Fractal-like kinetics  Enzymatic reactions
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