Shear viscosity of two-state enzyme solutions. 2020

Yuto Hosaka, and Shigeyuki Komura, and David Andelman
Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University, Tokyo 192-0397, Japan.

We discuss the shear viscosity of a Newtonian solution of catalytic enzymes and substrate molecules. The enzyme is modeled as a two-state dimer consisting of two spherical domains connected with an elastic spring. The enzymatic conformational dynamics is induced by the substrate binding and such a process is represented by an additional elastic spring. Employing the Boltzmann distribution weighted by the waiting times of enzymatic species in each catalytic cycle, we obtain the shear viscosity of dilute enzyme solutions as a function of substrate concentration and its physical properties. The substrate affinity distinguishes between fast and slow enzymes, and the corresponding viscosity expressions are obtained. Furthermore, we connect the obtained viscosity with the diffusion coefficient of a tracer particle in enzyme solutions.

UI MeSH Term Description Entries
D007700 Kinetics The rate dynamics in chemical or physical systems.
D004798 Enzymes Biological molecules that possess catalytic activity. They may occur naturally or be synthetically created. Enzymes are usually proteins, however CATALYTIC RNA and CATALYTIC DNA molecules have also been identified. Biocatalyst,Enzyme,Biocatalysts
D014783 Viscosity The resistance that a gaseous or liquid system offers to flow when it is subjected to shear stress. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Viscosities
D055162 Biocatalysis The facilitation of biochemical reactions with the aid of naturally occurring catalysts such as ENZYMES.
D055503 Protein Multimerization The assembly of the QUATERNARY PROTEIN STRUCTURE of multimeric proteins (MULTIPROTEIN COMPLEXES) from their composite PROTEIN SUBUNITS. Protein Dimerization,Protein Heteromultimerizaton,Protein Multimer Assembly,Protein Trimerization,Assembly, Protein Multimer,Dimerization, Protein,Heteromultimerizaton, Protein,Heteromultimerizatons, Protein,Multimer Assembly, Protein,Multimerization, Protein,Trimerization, Protein
D020836 Protein Structure, Quaternary The characteristic 3-dimensional shape and arrangement of multimeric proteins (aggregates of more than one polypeptide chain). Quaternary Protein Structure,Protein Structures, Quaternary,Quaternary Protein Structures
D033081 Shear Strength The internal resistance of a material to moving some parts of it parallel to a fixed plane, in contrast to stretching (TENSILE STRENGTH) or compression (COMPRESSIVE STRENGTH). Ionic crystals are brittle because, when subjected to shear, ions of the same charge are brought next to each other, which causes repulsion. Strength, Shear

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