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Multiscale modeling of stochastic dynamics processes with MBN Explorer.

Ilia A Solov'yov1,2,3, Gennady Sushko4, Ida Friis5

  • 1Department of Physics, Carl von Ossietzky University, Oldenburg, Germany.

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|June 16, 2022
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Stochastic dynamics, using Monte Carlo simulations in MBN Explorer, models complex physical, chemical, and biological processes. This approach enables diverse applications, from protein diffusion to nanoparticle deposition and chemical reactions.

Keywords:
MBN Explorerdiffusionmultiscale methodsrandom walkstochastic dynamics

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Area of Science:

  • Computational Physics
  • Chemical Dynamics
  • Biophysics

Background:

  • Complex systems often exhibit probabilistic behavior, requiring stochastic dynamics for accurate modeling.
  • Simulating these dynamics across various scales is crucial for understanding physical, chemical, and biological phenomena.

Purpose of the Study:

  • To introduce the concept of stochastic dynamics and its implementation within the MBN Explorer software.
  • To demonstrate the versatility of MBN Explorer for simulating diverse stochastic processes.

Main Methods:

  • Utilizes the Monte Carlo approach for simulating stochastic dynamics.
  • Implements stochastic dynamics simulations in the MBN Explorer program.

Main Results:

  • Successfully modeled protein diffusion towards anchor points on cell membranes.
  • Simulated nanoparticle deposition, resulting in fractal structures.
  • Modeled oscillations in autocatalytic chemical reactions.

Conclusions:

  • MBN Explorer provides a robust platform for stochastic dynamics simulations.
  • The implemented methods are applicable to a wide range of complex systems across disciplines.