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ISSN 2522-9028 (Print)
ISSN 2522-9036 (Online)
DOI: https://doi.org/10.15407/fz

Fiziologichnyi Zhurnal

is a scientific journal issued by the

Bogomoletz Institute of Physiology
National Academy of Sciences of Ukraine

Editor-in-chief: V.F. Sagach

The journal was founded in 1955 as
1955 – 1977 "Fiziolohichnyi zhurnal" (ISSN 0015 – 3311)
1978 – 1993 "Fiziologicheskii zhurnal" (ISSN 0201 – 8489)
1994 – 2016 "Fiziolohichnyi zhurnal" (ISSN 0201 – 8489)
2017 – "Fiziolohichnyi zhurnal" (ISSN 2522-9028)

Fiziol. Zh. 2010; 56(1): 143-148

A HOPPING MODEL FOR ONE-DIMENSIONAL DIFFUSION OF NANOPARTICLES AND MOTOR PROTEINS ALONG MICROTUBULES

S. Gaidar, M. Chashchyn

  1. Taras Shevchenko National University of Kyiv, Ukraine
  2. Institute of Molecular Biology and Genetics NAS of Ukraine, Ukraine
DOI: https://doi.org/10.15407/fz56.01.143

Abstract

One-dimensional diffusion is a mechanism for positively charged structures (e.g. nanoparticles, DNA bound proteins, motor proteins) to translocate along a single molecule of negatively charged linear polyelectrolyte such as microtubules or DNA. Kinesins and dynein are motor proteins that move cargoes (e.g. vesicles, organelles, chromosomes, virus particles) through the eukaryotic cell cytoplasm along microtubules. Myosin is actin based motor protein that also capable of diffusion on microtubules, significantly enhancing the processive run length of kinesin when both motors are present on the same cargo. Defective transport of cell components by motor proteins is implicated in such diseases as Alzheimer’s disease, polycystic kidney disease, neuropathy of CharcotMarie Tooth, neuroblastomas, neurofibromatosis, rheumatoid arthritis, hypertrophic cardiomyopathy and deafness. However, little is known about the precise mechanism of motor proteins movement along the microtubules. The phenomenon of onedimensional diffusive motion along microtubules is presumed to underlay this mechanism. In this paper, a similar phenomenon described for DNA binding proteins is reviewed. Based on kinesin-like nanoparticles as an experimental model, a theoretical model for one-dimensional diffusive motion of kinesins along microtubules is proposed. The motion is explained by the hopping process: combination of one-dimensional (sliding) and three-dimensional (hops) diffusions. Non-linear dependence of kinesin and nanoparticle diffusion constant on ionic strength is proposed to be underlain by polyampholyte structure of microtubules.

Keywords: Kinesin, motor proteins, microtubules, diffusion, nanoparticles.

Full text: (PDF, in Ukrainian)

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