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Lanoiselée Y, Moutal N, Grebenkov DS. Diffusion-limited reactions in dynamic heterogeneous media. Nat Commun. 2018;9(1):4398doi: 10.1038/s41467-018-06610-6.
Lanoiselée, Y., Moutal, N., & Grebenkov, D. S. (2018). Diffusion-limited reactions in dynamic heterogeneous media. Nature communications, 9(1), 4398. https://doi.org/10.1038/s41467-018-06610-6
Lanoiselée, Yann, et al. "Diffusion-limited reactions in dynamic heterogeneous media." Nature communications vol. 9,1 (2018): 4398. doi: https://doi.org/10.1038/s41467-018-06610-6
Lanoiselée Y, Moutal N, Grebenkov DS. Diffusion-limited reactions in dynamic heterogeneous media. Nat Commun. 2018 Oct 23;9(1):4398. doi: 10.1038/s41467-018-06610-6. PMID: 30353010; PMCID: PMC6199324.
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Nat Commun. 2018 Oct 23;9(1):4398. doi: 10.1038/s41467-018-06610-6.

Diffusion-limited reactions in dynamic heterogeneous media.

Nature communications

Yann Lanoiselée, Nicolas Moutal, Denis S Grebenkov

Affiliations

  1. Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS-Ecole Polytechnique, University Paris-Saclay, 91128, Palaiseau, France.
  2. Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS-Ecole Polytechnique, University Paris-Saclay, 91128, Palaiseau, France. [email protected].

PMID: 30353010 PMCID: PMC6199324 DOI: 10.1038/s41467-018-06610-6

Abstract

Most biochemical reactions in living cells rely on diffusive search for target molecules or regions in a heterogeneous overcrowded cytoplasmic medium. Rapid rearrangements of the medium constantly change the effective diffusivity felt locally by a diffusing particle and thus impact the distribution of the first-passage time to a reaction event. Here, we investigate the effect of these dynamic spatiotemporal heterogeneities onto diffusion-limited reactions. We describe a general mathematical framework to translate many results for ordinary homogeneous Brownian motion to heterogeneous diffusion. In particular, we derive the probability density of the first-passage time to a reaction event and show how the dynamic disorder broadens the distribution and increases the likelihood of both short and long trajectories to reactive targets. While the disorder slows down reaction kinetics on average, its dynamic character is beneficial for a faster search and realization of an individual reaction event triggered by a single molecule.

References

  1. Phys Rev Lett. 2005 Nov 11;95(20):200602 - PubMed
  2. Phys Chem Chem Phys. 2014 Nov 28;16(44):24128-64 - PubMed
  3. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jan;91(1):012123 - PubMed
  4. Phys Rev Lett. 2014 Aug 29;113(9):098302 - PubMed
  5. Phys Rev Lett. 1990 May 21;64(21):2503-2506 - PubMed
  6. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jan;71(1 Pt 1):012101 - PubMed
  7. Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 1):041116 - PubMed
  8. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Feb;81(2 Pt 1):021128 - PubMed
  9. Phys Chem Chem Phys. 2018 Jun 20;20(24):16393-16401 - PubMed
  10. Phys Rev X. 2017 Jan-Mar;7(1): - PubMed
  11. J Phys Chem B. 2016 Apr 28;120(16):3988-92 - PubMed
  12. Curr Opin Cell Biol. 2013 Feb;25(1):107-15 - PubMed
  13. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Nov;76(5 Pt 1):051114 - PubMed
  14. J Phys Chem B. 2016 Sep 1;120(34):9215-22 - PubMed
  15. Nat Commun. 2016 May 26;7:11701 - PubMed
  16. Proc Natl Acad Sci U S A. 2009 Sep 8;106(36):15160-4 - PubMed
  17. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Nov;72(5 Pt 2):056133 - PubMed
  18. Proc Natl Acad Sci U S A. 2008 Jul 22;105(29):10011-6 - PubMed
  19. Phys Rev A. 1990 Oct 15;42(8):4503-4518 - PubMed
  20. J Chem Phys. 2010 Jan 21;132(3):034104 - PubMed
  21. Rep Prog Phys. 2013 Jul;76(7):074601 - PubMed
  22. Phys Rev E. 2018 Jan;97(1-1):012148 - PubMed
  23. Phys Rev E. 2017 Mar;95(3-1):032135 - PubMed
  24. Phys Rev A. 1991 Jan 15;43(2):948-952 - PubMed
  25. Phys Rev Lett. 2015 Dec 11;115(24):240601 - PubMed
  26. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042137 - PubMed
  27. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 1):011107 - PubMed
  28. Rep Prog Phys. 2013 Apr;76(4):046602 - PubMed
  29. Phys Rev A Gen Phys. 1989 Aug 15;40(4):2082-2087 - PubMed
  30. Nat Chem. 2010 Jun;2(6):472-7 - PubMed
  31. Elife. 2016 Nov 01;5: - PubMed
  32. Phys Rev Lett. 2006 May 12;96(18):180601 - PubMed
  33. Sci Rep. 2016 Feb 08;6:20349 - PubMed
  34. Science. 2006 Mar 17;311(5767):1600-3 - PubMed
  35. Eur Phys J E Soft Matter. 2012 Jul;35(7):63 - PubMed
  36. Phys Rev Lett. 2016 Dec 23;117(26):260201 - PubMed
  37. Nat Mater. 2012 May 22;11(6):481-5 - PubMed
  38. Phys Rev A. 1990 Apr 15;41(8):4562-4565 - PubMed
  39. Biophys J. 2004 Nov;87(5):3518-24 - PubMed
  40. Phys Rev E. 2018 Jan;97(1-1):012137 - PubMed
  41. Nature. 2011 Jul 20;475(7356):308-15 - PubMed
  42. Phys Chem Chem Phys. 2015 Jan 21;17(3):1847-58 - PubMed
  43. PLoS Comput Biol. 2010 Mar 05;6(3):e1000694 - PubMed
  44. Phys Chem Chem Phys. 2017 Jan 25;19(4):2723-2739 - PubMed
  45. Soft Matter. 2016 Oct 19;12(41):8554-8563 - PubMed

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