Journal of Mathematics in Industry (Aug 2024)

Transient motion classification and segment analysis of diffusive trajectories of G proteins and coupled-receptors in a living cell

  • Aleksander A. Stanislavsky,
  • Aleksander Weron

DOI
https://doi.org/10.1186/s13362-024-00151-y
Journal volume & issue
Vol. 14, no. 1
pp. 1 – 12

Abstract

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Abstract The molecular movement in single particle tracking (SPT) experiments shows a crucial role of diffusion in many biological processes such as signaling, cellular organization, transport mechanisms, and more. The SPT analysis detects not only classical Brownian motion but diffusion with other features. These include directed diffusion and confined motion. The behavior remains a challenging problem for several reasons. Due to the action of many physical processes, random trajectories of cellular molecules are segmented in different diffusive modes. Often their study requires sophisticated algorithms for the analysis of statistical properties. In this paper we consider the segment analysis for trajectories of G proteins and coupled-receptors in living cells. Their movement is often transient and switches among free diffusion, confined diffusion, directed diffusion, and immobility. Moreover, the confined segments can have both Gaussian and non-Gaussian statistics. The types of alternation of diffusive modes along the trajectories of G proteins and coupled-receptors are analyzed.

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