Electric field generated by axial longitudinal vibration modes of microtubule

Cifra, Michal; Pokorný, Jiřı́; Havelka, Daniel; Kučera, Ondřej

doi:10.1016/j.biosystems.2010.02.007

Cited by 124 publications

(88 citation statements)

References 62 publications

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“…Also, they represent a network for motor proteins. These proteins move with a velocity of 0:1 À 2μm=s [2] carrying a certain cargo such as mitochondrion.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Models of Microtubules

Zdravković¹

2018

Complexity in Biological and Physical Systems - Bifurcations, Solitons and Fractals

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Microtubules are the major part of the cytoskeleton. They are involved in nuclear and cell division and serve as a network for motor proteins. The first model that describes nonlinear dynamics of microtubules was introduced in 1993. Three nonlinear models are described in this chapter. They are longitudinal U-model, representing an improved version of the first model, radial φ-model and new general model. Also, two mathematical procedures are explained. These are continuum and semi-discrete approximations. Continuum approximation yields to either kink-type or bell-type solitons, while semidiscrete one predicts localized modulated waves moving along microtubules. Some possible improvements and suggestions for future research are discussed.

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“…Also, they represent a network for motor proteins. These proteins move with a velocity of 0:1 À 2μm=s [2] carrying a certain cargo such as mitochondrion.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Models of Microtubules

Zdravković¹

2018

Complexity in Biological and Physical Systems - Bifurcations, Solitons and Fractals

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“…Microtubules, as the major filaments of the cytoskeleton, are known as a source of vibrations in the living cell and generate cellular activities in a wide range of frequencies [1]. These activities are connected to biological processes inside the cell and have fundamental role in cell physiology and participate in controlling the organization of living matter [2].…”

Section: Introductionmentioning

confidence: 99%

“…There exist three possible sources of energy to excite and sustain microtubule vibrations in living cells [1]: (1) Energy produced during hydrolysis of guanosine triphosphate (GTP) and delivered to microtubules; (2) Energy transferred from movement of motor proteins and their interaction with microtubules; (3) Energy released from mitochondria, which may be the most significant energy source for excitations of microtubule vibrations.…”

Section: Introductionmentioning

confidence: 99%

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Coupled oscillations of a protein microtubule immersed in cytoplasm: an orthotropic elastic shell modeling

Daneshmand

Amabili

2012

J Biol Phys

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Revealing vibration characteristics of sub-cellular structural components such as membranes and microtubules has a principal role in obtaining a deeper understanding of their biological functions. Nevertheless, limitations and challenges in biological experiments at this scale necessitates the use of mathematical and computational models as an alternative solution. As one of the three major cytoskeletal filaments, microtubules are highly anisotropic structures built from tubulin heterodimers. They are hollow cylindrical shells with a ∼ 25 nm outer diameter and are tens of microns long. In this study, a mechanical model including the effects of the viscous cytosol and surrounding filaments is developed for predicting the coupled oscillations of a single microtubule immersed in cytoplasm. The first-order shear deformation shell theory for orthotropic materials is used to model the microtubule, whereas the motion of the cytosol is analyzed by considering the Stokes flow. The viscous cytosol and the microtubule are coupled through the continuity condition across the microtubule-cytosol interface. The stress and velocity fields in the cytosol induced by vibrating microtubule are analytically determined. Finally, the influences of the dynamic viscosity of the cytosol, filament network elasticity, microtubule shear modulus, and circumferential wave-number on longitudinal, radial, and torsional modes of microtubule vibration are elucidated.

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“…Such argumentation is, however, too simplistic. Considering, for instance, a molecule with a dipole moment p = 10 −27 Cm, which is roughly the dipole moment of the tubulin protein [10], in the radiofrequency electric field of the intensity of about E = 10 6 V/m, which is realistic to expect on a nanometer scale around electrically polar vibrating molecules [11][12][13], we get interaction energy comparable to thermal energy per degree of freedom 2 , pE ≈ kT . In order to promote a deeper discussion about physical possibility of electromagnetic interactions in biosystems on radio wavelengths, we try to clarify here what structures on which spatial scale can be involved in such interactions.…”

mentioning

confidence: 97%

Radiofrequency and microwave interactions between biomolecular systems

Kučera

Cifra

2015

J Biol Phys

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The knowledge of mechanisms underlying interactions between biological systems, be they biomacromolecules or living cells, is crucial for understanding physiology, as well as for possible prevention, diagnostics and therapy of pathological states. Apart from known chemical and direct contact electrical signaling pathways, electromagnetic phenomena were proposed by some authors to mediate non-chemical interactions on both intracellular and intercellular levels. Here, we discuss perspectives in the research of nanoscale electromagnetic interactions between biosystems on radiofrequency and microwave wavelengths. Based on our analysis, the main perspectives are in (i) the micro and nanoscale characterization of both passive and active radiofrequency properties of biomacromolecules and cells, (ii) experimental determination of viscous damping of biomacromolecule structural vibrations and (iii) detailed analysis of energetic circumstances of electromagnetic interactions between oscillating polar biomacromolecules. Current cutting-edge nanotechnology and computational techniques start to enable such studies so we can expect new interesting insights into electromagnetic aspects of molecular biophysics of cell signaling.

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Electric field generated by axial longitudinal vibration modes of microtubule

Cited by 124 publications

References 62 publications

Mechanical Models of Microtubules

Mechanical Models of Microtubules

Coupled oscillations of a protein microtubule immersed in cytoplasm: an orthotropic elastic shell modeling

Radiofrequency and microwave interactions between biomolecular systems

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