The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Geometry-controlled kinetics
Open accessAbstract
It has long been appreciated that the transport properties of molecules can control reaction kinetics. This effect can be characterized by the time it takes a diffusing molecule to reach a target-the first-passage time (FPT). Determining the FPT distribution in realistic confined geometries has until now, however, seemed intractable. Here, we calculate this FPT distribution analytically and show that transport processes as varied as regular diffusion, anomalous diffusion, and diffusion in disordered media and fractals, fall into the same universality classes. Beyond the theoretical aspect, this result changes our views on standard reaction kinetics and we introduce the concept of 'geometry-controlled kinetics'. More precisely, we argue that geometry-and in particular the initial distance between reactants in 'compact' systems-can become a key parameter. These findings could help explain the crucial role that the spatial organization of genes has in transcription kinetics, and more generally the impact of geometry on diffusion-limited reactions.
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Cites
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Metzler, R., & Klafter, J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00070-3 · Cited by 9,026
Self-citationAnomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162
Montroll, E. W., & Weiss, G. H. (1965) · Journal of Mathematical Physics · doi:10.1063/1.1704269 · Cited by 2,788
A Guide to First-Passage Processes
Redner, S. (2001) · Cambridge University Press eBooks · doi:10.1017/cbo9780511606014 · Cited by 2,346
Zhou, H.-X., Rivas, G., & Minton, A. P. (2008) · Annual Review of Biophysics · doi:10.1146/annurev.biophys.37.032807.125817 · Cited by 2,149
Macromolecular Crowding: Biochemical, Biophysical, and Physiological Consequences
Zimmerman, S. B., & Minton, A. P. (1993) · Annual Review of Biophysics and Biomolecular Structure · doi:10.1146/annurev.bb.22.060193.000331 · Cited by 1,513
Diffusion and Reactions in Fractals and Disordered Systems
ben-Avraham, D., & Havlin, S. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511605826 · Cited by 1,369
Probing Transcription Factor Dynamics at the Single-Molecule Level in a Living Cell
Elf, J., Li, G.-W., & Xie, X. S. (2007) · Science · doi:10.1126/science.1141967 · Cited by 1,084
Shlesinger, M. F., Zaslavsky, G. M., & Klafter, J. (1993) · Nature · doi:10.1038/363031a0 · Cited by 1,051
Self-citationKopelman, R. (1988) · Science · doi:10.1126/science.241.4873.1620 · Cited by 948
Metadata
- Authors
- Bénichou, O., Chevalier, C., Klafter, J., Meyer, B., & Voituriez, R.
- Venue
- Nature Chemistry
- Published
- 2010-04-18
- Volume
- 2
- Issue
- 6
- Pages
- 472-477
- ISSN
- 1755-4330 (ISSN-L)
- 1755-4349
- OpenAlex
- W2055401277
- Cited by
- 351
- References
- 29
- FWCI
- 8.62
- Type
- journal article
- Language
- en
- Open access
- green
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