Effect of Gradient Magnetic Fields on Molecular Diffusion Through Cell Membranes: A Theoretical and Numerical Study

3rd International Conference on Chemo and BioInformatics, Kragujevac, September 25-26. 2025. (pp. 424-427) 

 

AUTOR(I) / AUTHOR(S): M. S. Kovačević, D. Tosi, M. Ivanović, V. Marković, R. Dragnić, Lj. Kuzmanović, M. Milojković

 

Download Full Pdf   

DOI:  10.46793/ICCBIKG25.424K

SAŽETAK / ABSTRACT:

The diffusion of biologically active molecules is a fundamental and ubiquitous process that governs numerous mechanisms and defines the characteristic time scales of essential cellular activities. In this work, we investigate how a strong static magnetic field (MF) influences the diffusion behaviour of both paramagnetic and diamagnetic species within a human cell. We first describe the influence of a homogeneous static magnetic field on molecular diffusion, and subsequently, for the first time, derive an analytical expression that includes the effects of a non- uniform magnetic field. Both equations were solved numerically, revealing that the influence of magnetic field non-uniformity becomes significant only in the presence of high gradinet magnetic fields. In contrast, for weak gradient magnetic fields, their effect on the diffusion of biologically active molecules is smaller, yet it cannot be neglected compared to a homogeneous field.

KLJUČNE REČI / KEYWORDS:

electromagnetic field, molecular diffusion, diffusion equatin

PROJEKAT / ACKNOWLEDGEMENT:

LITERATURA / REFERENCES:

  • M. Waskaas, Short-Term Effects of Magnetic Fields on Diffusion in Stirred and Unstirred Paramagnetic Solutions, J. Phys. Chem. 97 (1993) 6470–6476.
  • Y. Kinouchi, S. Tanimoto, T. Ushita, K. Sato, H. Yamaguchi, H. Miyamoto, Effects of Static Magnetic Fields on Diffusion in Solutions, Bioelectromagnetics 9 (1988) 159–166.
  • Z. Xin, K. Yarema, A. Xu, Impact of Static Magnetic Fields (Smfs) on Cells. In Biological Effects of Static Magnetic Fields, Springer: Singapore, (2017) 81–131.
  • J. Miyakoshi, Effects of Static Magnetic Fields at the Cellular Level, Prog. Biophys. Mol. Biol. 87 (2005) 213–223.
  • H. Hideki, T. Nakahara, Q. Zhang, S. Yonei, J. Miyakoshi, Static Magnetic Field with a Strong Magnetic Field Gradient (47.7 T/M) Induces C-Jun Expression in Hl-60 Cells, Vitr. Cell. Dev. Biol.- Anim. 39 (2003) 348–352.
  • X. F. Tian, D. M. Wang, S. Feng, L. Zhang, X. M. Ji, Z. Wang, Q.Y. Lu, C.Y. Xi, L. Pi, X. Zhang, Effects of 3.5–23.0 T Static Magnetic Fields on Mice: A Safety Study, Neuroimage 199 (2019) 273– 280.
  • V. Zablotskii, O. Lunov, S. Kubinova, T. Polyakova, E. Sykova, and A. Dejneka, Effects of high-gradient magnetic fields on living cell machinery, J. Phys. D: Appl. Phys. 49 (2016) 493003 (23pp).
  • V. Zablotskii, T. Polyakova and A. Dejneka, Effects of High Magnetic Fields on the Diffusion of Biologically Active Molecules, Cells 11, 81, (2022) 1-13.