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Area of Science:

  • Theoretical physics
  • Biophysics
  • Statistical mechanics

Background:

  • Complex biological systems often involve directed transport by molecular motors.
  • Understanding particle transport on heterogeneous and anisotropic networks is crucial for cellular processes.

Purpose of the Study:

  • To develop a theoretical framework for studying self-propelled particle transport on complex structures.
  • To identify key parameters influencing persistent motion and anomalous diffusion.
  • To explore different dynamical regimes and their control.

Main Methods:

  • Development of a general master equation formalism.
  • Analysis of persistent motion of individual random walkers.
  • Investigation of motor processivity, network anisotropy, and heterogeneity.

Main Results:

  • Identification of distinct dynamical regimes of anomalous motion.
  • Demonstration that crossover times and diffusion coefficients can be significantly increased by several orders of magnitude.
  • Establishment of the interplay between stepping strategy and walker persistency as a source of anomalous diffusion.

Conclusions:

  • Motor processivity and network properties are critical determinants of transport efficiency.
  • Biologically relevant parameter ranges allow for substantial control over transport dynamics.
  • Anomalous diffusion arises from the combined effects of particle dynamics and complex network architecture.