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Effects of Gaussian thermal fluctuations on the thermodynamic of microtubules in Landau-Ginzburg-Wilson model
Institution:1. Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science,University of Dschang, P.O. Box 479 Dschang, Cameroon;2. Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67 Dschang, Cameroon;1. Department of Mathematics, Faculty of Basic Sciences University of Wah, Wah Cantt, Pakistan;2. Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Pakistan;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China;1. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam;2. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam;1. Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;3. Department of Mathematics, Faculty of Science and Technology, Shendi University Sudan;4. Department of Mathematics, Faculty of Science of Monastir, Monastir University Monastir, 5019, Tunisia;6. Department of Mathematics, Faculty of Humanities and Social Sciences, Istanbul Ticaret University, 34445, Istanbul, Turkey;7. Basic Sciences Research Unit, Jouf University, Al-Qurayyat, Saudi Arabia
Abstract:This paper investigates microtubule thermodynamic properties dependence on gaussian thermal fluctuations using the Landau-Ginzburg-Wilson model. After solving the self-consistent equation for thermal fluctuations, we observed its increasing behavior as a function of temperature for different dimensionality 1, 2 and 3. Thermodynamic properties such as Shannon entropy, thermodynamic entropy, heat capacity and chemical potential have been computed. We found out that under thermal fluctuations, heat capacity and chemical potential exhibit negative values that can refer to the coexistence of first and second order phase transitions during MT dynamic instability. We also found that thermodynamic properties are highly affected at low temperatures. Moreover, thermodynamic entropy locally displays the conversion of the heat into work through the negentropy. We analyzed the behavior of the polarization according to fluctuations and found that thermal fluctuations modulate the polarization and depolarization of tubulin dimers which is very important in information processing in microtubules.
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