Localization of energy in tubulin system using numerical analysis
Department of Physics, Theivanai Ammal College for Women (Autonomous), 605602, Villupuram, Tamilnadu, India
Accepted: 13 June 2022
Published online: 30 June 2022
We planned to study the mechanism of modulational instability (MI) to explore the spread of energy deeply into the neighboring lattice points in the nonlinear dynamics of microtubulin (MT) lattices. Microtubules (MTs) are the most rigid members of the cellular cytoskeleton, despite the presence of many proteinaceous filaments. Many important cellular processes, like intracellular transport, metabolism, and cell division, depend on how microtubules move. Self-assembling microtubules (MTs) stochastically alternate between stages of growth and shrinking during dynamic instability. The presence of two unique states of MT subunits, guanosine triphosphate (GTP)- and guanosine diphosphate (GDP)-bound tubulin dimers, which have differing structural characteristics, drives this process. The analytical result of MI has been shown by new types of bubble-like solitonic structures. Also, we investigate the nature of the formation of different wave patterns that may arise by the MI process in MT lattices. In this research article, we invoke the energy localization through solitons in microtubulin (MT) lattices under the influence of an electric field and viscosity because it plays a significant role, such as the mechanical vibrations in MTs can generate an electric field in the form of solitons which propagate along the MT serving as a signalling pathway in cells. The bubble-like solitons in tubulin lattices can be viewed as a bit of information whose propagation can be theoretically controlled by an electric field and viscosity. Further, the numerical analysis reveals long-lived excitations developed using molecular dynamics simulations.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022