100 years after Smoluchowski: Stochastic processes in cell biology

D. Holcman, Z. Schuss

Research output: Contribution to journalReview articlepeer-review

Abstract

100 years after Smoluchowski introduced his approach to stochastic processes, they are now at the basis of mathematical and physical modeling in cellular biology: they are used for example to analyse and to extract features from a large number (tens of thousands) of single molecular trajectories or to study the diffusive motion of molecules, proteins or receptors. Stochastic modeling is a new step in large data analysis that serves extracting cell biology concepts. We review here Smoluchowski's approach to stochastic processes and provide several applications for coarse-graining diffusion, studying polymer models for understanding nuclear organization and finally, we discuss the stochastic jump dynamics of telomeres across cell division and stochastic gene regulation.

Original languageEnglish
Article number093002
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number9
DOIs
StatePublished - 25 Jan 2017

Keywords

  • barrow escape
  • biophysics
  • first passage time
  • polymer looping
  • stochastic processes
  • stochatic gene activation
  • telomere modeling

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