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Transport phenomena in complex systems (part 1).

Dmitri V Alexandrov1, Andrey Yu Zubarev1

  • 1Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 19, 2021
PubMed
Summary
This summary is machine-generated.

This research explores transport phenomena in complex systems, including biological tissues and porous media. It highlights applications in medical therapies like cancer treatment and cardiovascular interventions.

Keywords:
biophysical systemscomplex systemspattern formationphase transformationssoft mattertransport phenomena

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Area of Science:

  • Complex systems
  • Transport phenomena
  • Multiphysics

Background:

  • Transport phenomena are crucial in diverse complex systems, from porous media to biological tissues.
  • Understanding heat and mass transfer, fluid dynamics, and electromagnetic propagation is essential.

Purpose of the Study:

  • To present theoretical, computational, and experimental studies on transport phenomena in complex systems.
  • To focus on anomalous, relaxation, and nonlinear transport, including external field and noise effects.
  • To explore applications in biological systems and advanced medical therapies.

Main Methods:

  • Computational modeling
  • Statistical physics and hydrodynamics
  • Nonlinear dynamics
  • Experimental methods

Main Results:

  • Investigated transport in porous/composite media, reacting systems, and biological tissues.
  • Analyzed hemodynamics in blood vessels and magneto-induced heat in tissues.
  • Developed scientific foundations for cancer and cardiovascular therapies.

Conclusions:

  • Complex systems exhibit diverse transport phenomena with significant implications.
  • Advanced computational and experimental methods are key to understanding these processes.
  • This work provides a basis for novel therapeutic strategies in medicine.