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Plonka A. Recent Developments in Dispersive Kinetics. PROGRESS IN REACTION KINETICS AND MECHANISM 2019. [DOI: 10.3184/007967400103165137] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
In general, chemical reactions proceeding on time scales comparable to, or shorter than, those of internal rearrangements in a reaction system renewing the environment of the reactants (mixing), are dispersive. For dispersive kinetics, as for dispersive transport and dispersive relaxation, many time scales coexist. The rate coefficients for dispersive processes depend on time. For a time-dependent specific reaction rate, using the concept of energy profile along the reaction path, one finds the potential energy barrier separating reactants from products to evolve in time during the course of reaction. The evolution of the energy barrier during the course of reaction is described in terms of energy distribution functions related directly to the distribution function of logarithms of lifetimes calculable from kinetic equations with a time-dependent specific reaction rate. This phenomenological approach is compared with that in which the kinetic equations with time-dependent specific reaction rates are interpreted in terms of the superposition of classical reaction patterns. Special attention is paid to renor-malization of rate coefficients following from the stochastic theory of renewals (structural relaxation) in the reaction system. This phenomenological approach to kinetics is taken as a convenient basis to present a number of comprehensive models of dispersive kinetics developed in the 1990s and to discuss some recently published experimental data to show what one derives directly from experimental data and what the detailed mechanistic models have to account for to be acceptable.
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Affiliation(s)
- Andrzej Plonka
- Institute of Applied Radiation Chemistry, Wroblewskiego 15, 93-590 Lodz, Poland
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Zhang P, Ahn SW, Straub JE. “Strange Kinetics” in the Temperature Dependence of Methionine Ligand Rebinding Dynamics in Cytochrome c. J Phys Chem B 2013; 117:7190-202. [DOI: 10.1021/jp400481m] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Ping Zhang
- Department of Chemistry, Boston University, Boston, Massachusetts 02215, United States
| | - Steven Wooseok Ahn
- Department of Chemistry, Boston University, Boston, Massachusetts 02215, United States
| | - John E. Straub
- Department of Chemistry, Boston University, Boston, Massachusetts 02215, United States
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Zhang P, Małolepsza E, Straub JE. Dynamics of Methionine Ligand Rebinding in Cytochrome c. J Phys Chem B 2012; 116:6980-90. [DOI: 10.1021/jp300783j] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ping Zhang
- Department
of Chemistry, Boston University, Boston,
Massachusetts 02215, United States
| | - Edyta Małolepsza
- Department
of Chemistry, Boston University, Boston,
Massachusetts 02215, United States
| | - John E. Straub
- Department
of Chemistry, Boston University, Boston,
Massachusetts 02215, United States
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Morris AJ, Stromberg JR, Meyer GJ. Dynamics and Equilibrium of Heme Axial Ligation in Mesoporous Nanocrystalline TiO2 Thin Films. Inorg Chem 2009; 49:29-37. [DOI: 10.1021/ic9008015] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Amanda J. Morris
- Departments of Chemistry and Materials Science and Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218
| | - Jonathan R. Stromberg
- Departments of Chemistry and Materials Science and Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218
| | - Gerald J. Meyer
- Departments of Chemistry and Materials Science and Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218
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5
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Berlin Y, Burin A, Friedrich J, Köhler J. Spectroscopy of proteins at low temperature. Part I: Experiments with molecular ensembles. Phys Life Rev 2006. [DOI: 10.1016/j.plrev.2006.09.001] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Berlin YA, Burin AL, Siebbeles LDA, Ratner MA. Conformationally Gated Rate Processes in Biological Macromolecules. J Phys Chem A 2001. [DOI: 10.1021/jp004436c] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yuri A. Berlin
- Department of Chemistry, Center for Nanofabrication and Molecular Self-Assembly and Materials Research Center, Northwestern University, 2145 N Sheridan Road, Evanston, Illinois 60208-3113, and IRI, Radiation Chemistry Department, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands
| | - Alexander L. Burin
- Department of Chemistry, Center for Nanofabrication and Molecular Self-Assembly and Materials Research Center, Northwestern University, 2145 N Sheridan Road, Evanston, Illinois 60208-3113, and IRI, Radiation Chemistry Department, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands
| | - Laurens D. A. Siebbeles
- Department of Chemistry, Center for Nanofabrication and Molecular Self-Assembly and Materials Research Center, Northwestern University, 2145 N Sheridan Road, Evanston, Illinois 60208-3113, and IRI, Radiation Chemistry Department, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands
| | - Mark A. Ratner
- Department of Chemistry, Center for Nanofabrication and Molecular Self-Assembly and Materials Research Center, Northwestern University, 2145 N Sheridan Road, Evanston, Illinois 60208-3113, and IRI, Radiation Chemistry Department, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands
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Ogrodnik A, Hartwich G, Lossau H, Michel-Beyerle M. Dispersive charge separation and conformational cooling of P+HA− in reaction centers of Rb. sphaeroides R26: a spontaneous emission study. Chem Phys 1999. [DOI: 10.1016/s0301-0104(99)00037-3] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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8
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Quantum motion of particles along one-dimensional pathways with static and dynamic energy disorder. Chem Phys 1998. [DOI: 10.1016/s0301-0104(98)00311-5] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Kurzyński M. A synthetic picture of intramolecular dynamics of proteins. Towards a contemporary statistical theory of biochemical processes. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 1998; 69:23-82. [PMID: 9670774 DOI: 10.1016/s0079-6107(97)00033-3] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
An increasing body of experimental evidence indicates the slow character of internal dynamics of native proteins. The important consequence of this is that theories of chemical reactions, used hitherto, appear inadequate for description of most biochemical reactions. Construction of a contemporary, truly advanced statistical theory of biochemical processes will need simple but realistic models of microscopic dynamics of biomolecules. In this review, intended to be a contribution towards this direction, three topics are considered. First, an intentionally simplified picture of dynamics of native proteins which emerges from recent investigations is presented. Fast vibrational modes of motion, of periods varying from 10(-14) to 10(-11) s, are contrasted with purely stochastic conformational transitions. Significant evidence is adduced that the relaxation time spectrum of the latter spreads in the whole range from 10(-11) to 10(5) s or longer, and up to 10(-7) s it is practically quasi-continuous. Next, the essential ideas of the theory of reaction rates based on stochastic models of intramolecular dynamics are outlined. Special attention is paid to reactions involving molecules in the initial conformational substrates confirmed to the transition state, which is realized in actual experimental situations. And finally, the two best experimentally justified classes of models of conformational transition dynamics, symbolically referred to as "protein glass" and "protein machine", are described and applied to the interpretation of a few simple biochemical processes, perhaps the most important result reported is the demonstration of the possibility of predominance of the short initial condition-dependent stage of protein involved reactions over the main stage described by the standard kinetics. This initial stage, and not the latter, is expected to be responsible for the coupling of component reactions in the complete enzymatic cycles as well as more complex processes of biological free energy transduction.
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Affiliation(s)
- M Kurzyński
- Institute of Physics, A. Mickiewicz University, Poznań, Poland
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Energy relaxation during thermally activated diffusion along one-dimensional chains with site disorder. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00530-2] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Berlin YA, Siebbeles LD, Zharikov AA. Thermally activated diffusion along one-dimensional chains with energetic disorder: analysis of computer simulation data. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)00848-8] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Berlin YA, Burin AL, Fischer SF. Phenomenological model for reaction kinetics coupled to a relaxing environment. Chem Phys 1997. [DOI: 10.1016/s0301-0104(97)00120-1] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Berlin YA, Burin AL. Hierarchically constrained dynamics of the configurational coordinate for rate processes in complex systems. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)00101-2] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Diffusion in one-dimensional disordered systems: analytical study verified by Monte Carlo simulations. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(96)01479-0] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Dyre JC, Schroder TB. Effective one-dimensionality of universal ac hopping conduction in the extreme disorder limit. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:14884-14887. [PMID: 9985527 DOI: 10.1103/physrevb.54.14884] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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18
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Berlin YA. Irreversible random transition theory as applied to rate processes in condensed media: Transient effects of constrained configuration rearrangements in complex systems. Chem Phys 1996. [DOI: 10.1016/s0301-0104(96)00220-0] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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20
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Condition for fractional-power viscosity dependence of the average rate constant of solution reactions influenced by slow solvent fluctuations. Chem Phys 1996. [DOI: 10.1016/s0301-0104(96)00168-1] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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