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PreprintCC BY-NC-ND 4.0arXiv

Double-well potentials and crucial estimations in nonlinear dynamics of microtubules

  • Rama Gupta
  • Nicolina Pop
  • Dragana Ranković
  • Slobodan Zdravković
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Abstract

In the present work, we study the two-component model of microtubules, the basic components of the eukaryotic cytoskeleton. We introduce a couple of estimations, which tremendously simplified the model. The paper is devoted to tangential oscillations of dimers, but we explain that the model can explain the radial oscillations as well. Finally, we study the stability of all solutions of differential equations, describing the dynamics of the microtubules.

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Cite

BibTeXRIS
BibTeX
@misc{gupta2026doublewell,
  title = {{Double-well potentials and crucial estimations in nonlinear dynamics of microtubules}},
  author = {Rama Gupta and Nicolina Pop and Dragana Ranković and Slobodan Zdravković},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10910},
  eprint = {2609.10910},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10910},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Double-well potentials and crucial estimations in nonlinear dynamics of microtubules
AU  - Rama Gupta
AU  - Nicolina Pop
AU  - Dragana Ranković
AU  - Slobodan Zdravković
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10910
UR  - https://arxiv.org/abs/2609.10910
AB  - In the present work, we study the two-component model of microtubules, the basic components of the eukaryotic cytoskeleton. We introduce a couple of estimations, which tremendously simplified the model. The paper is devoted to tangential oscillations of dimers, but we explain that the model can explain the radial oscillations as well. Finally, we study the stability of all solutions of differential equations, describing the dynamics of the microtubules.
ER  -