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First passage time approach to diffusion controlled reactions
Abstract
Association reactions involving diffusion in one, two, and three-dimensional finite domains governed by Smoluchowski-type equations (e.g., interchain reaction of macromolecules, ligand binding to receptors, repressor–operator association of DNA strand) are shown to be often well described by first-order kinetics and characterized by an average reaction (passage) time τ. An inhomogeneous differential equation is derived which, for problems with high symmetry, yields τ by simple quadrature without taking recourse to detailed cumbersome time-dependent solutions of the original Smoluchowski equation. The cases of diffusion and nondiffusion controlled processes are included in the treatment. For reaction processes involving free diffusion and intramolecular chain motion, the validity of the passage time approximation is analyzed.
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Cites
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197
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Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
The protein folding ‘speed limit’
Kubelka, J., Hofrichter, J., & Eaton, W. A. (2004) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2004.01.013 · Cited by 830
Protein folding studied by single-molecule FRET
Schuler, B., & Eaton, W. A. (2008) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2007.12.003 · Cited by 697
Amplification and kinetics of the activation steps in phototransduction
Pugh, E. N., & Lamb, T. D. (1993) · Biochimica et Biophysica Acta (BBA) - Bioenergetics · doi:10.1016/0005-2728(93)90038-h · Cited by 648
Properties of lipid microdomains in a muscle cell membrane visualized by single molecule microscopy
Schütz, G. J., Kada, G., Pastushenko, V. P., & Schindler, H. (2000) · The EMBO Journal · doi:10.1093/emboj/19.5.892 · Cited by 577
Metadata
- Authors
- Szabo, A., Schulten, K., & Schulten, Z.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1980-04-15
- Volume
- 72
- Issue
- 8
- Pages
- 4350-4357
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1976660933
- Cited by
- 779
- References
- 1
- FWCI
- 4.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- Szabo, A., Schulten, K., & Schulten, Z. (1980). First passage time approach to diffusion controlled reactions. The Journal of Chemical Physics. https://doi.org/10.1063/1.439715
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