TY  - JOUR
AU  - Justin, Mibaile
AU  - Zdravković, Slobodan
AU  - Hubert, Malwe Boudoue
AU  - Betchewe, Gambo
AU  - Doka, Serge Yamigno
AU  - Kofane, Timoleon Crepin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9610
AB  - A new nonlinear phenomenon has been studied theoretically on one of the main cytoskeletal element of eukaryotic cells, namely chaos in microtubules vibrations. The general model of microtubules is used to draw phase portraits and Lyapunov spectra. The examination of numerical results reveals that the velocity of the chaotic wave could be the physical parameter that governs chaos. The energy released after the hydrolysation of guanosine triphosphate is converted to active turbulence leading to chaos. The high values of the Lyapunov exponents give hints that there are strong dissipations yielding in the lessening of the velocity of chaotic wave propagation in the microtubules. Moreover, the role of chaos in information processing has been established in microtubules. The energy coming from hydrolysis of guanosine triphosphate stimulates the tubulin leading it to probe its environment and collect information. The net sum of Lyapunov exponents is found to be positive in this stage of the process. Also, the collected information is compressed with a negative sum of Lyapunov exponents. Eventually, the compressibility rate has been estimated to be η=67.2%, and 1.11 bit is lost. © 2020 Elsevier B.V.
T2  - Biosystems
T1  - Chaotic vibration of microtubules and biological information processing
VL  - 198
SP  - 104230
DO  - 10.1016/j.biosystems.2020.104230
ER  - 

@article{
author = "Justin, Mibaile and Zdravković, Slobodan and Hubert, Malwe Boudoue and Betchewe, Gambo and Doka, Serge Yamigno and Kofane, Timoleon Crepin",
year = "2020",
abstract = "A new nonlinear phenomenon has been studied theoretically on one of the main cytoskeletal element of eukaryotic cells, namely chaos in microtubules vibrations. The general model of microtubules is used to draw phase portraits and Lyapunov spectra. The examination of numerical results reveals that the velocity of the chaotic wave could be the physical parameter that governs chaos. The energy released after the hydrolysation of guanosine triphosphate is converted to active turbulence leading to chaos. The high values of the Lyapunov exponents give hints that there are strong dissipations yielding in the lessening of the velocity of chaotic wave propagation in the microtubules. Moreover, the role of chaos in information processing has been established in microtubules. The energy coming from hydrolysis of guanosine triphosphate stimulates the tubulin leading it to probe its environment and collect information. The net sum of Lyapunov exponents is found to be positive in this stage of the process. Also, the collected information is compressed with a negative sum of Lyapunov exponents. Eventually, the compressibility rate has been estimated to be η=67.2%, and 1.11 bit is lost. © 2020 Elsevier B.V.",
journal = "Biosystems",
title = "Chaotic vibration of microtubules and biological information processing",
volume = "198",
pages = "104230",
doi = "10.1016/j.biosystems.2020.104230"
}

Justin, M., Zdravković, S., Hubert, M. B., Betchewe, G., Doka, S. Y.,& Kofane, T. C.. (2020). Chaotic vibration of microtubules and biological information processing. in Biosystems, 198, 104230.
https://doi.org/10.1016/j.biosystems.2020.104230

Justin M, Zdravković S, Hubert MB, Betchewe G, Doka SY, Kofane TC. Chaotic vibration of microtubules and biological information processing. in Biosystems. 2020;198:104230.
doi:10.1016/j.biosystems.2020.104230 .

Justin, Mibaile, Zdravković, Slobodan, Hubert, Malwe Boudoue, Betchewe, Gambo, Doka, Serge Yamigno, Kofane, Timoleon Crepin, "Chaotic vibration of microtubules and biological information processing" in Biosystems, 198 (2020):104230,
https://doi.org/10.1016/j.biosystems.2020.104230 . .