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Dissipation and amplification management in an electrical model of microtubules: Hybrid behavior network |
| Sedric Ndoungalah1, Guy Roger Deffo2,†, Arnaud Djine1, and Serge Bruno Yamgoué3 |
1 Department of Physics, Faculty of Science, University of Bamenda, P. O. Box 39 Bamenda, Cameroon;
2 Research Unit of Automation and Applied Computers(UR-AIA), Department of Electrical Engineering, IUT-FV of Bandjoun, University of Dschang, BP 134, Bandjoun, Cameroon;
3 Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P. O. Box 39 Bamenda, Cameroon |
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Abstract The control of dissipation and amplification of solitary waves in an electrical model of a microtubule is demonstrated. This model consists of a shunt nonlinear resistance-capacitance (J(V)-C(V)) circuit and a series resistance-inductance (R-L) circuit. Through linear dispersion analysis, two features of the network are found, that is, low bandpass and bandpass filter characteristics. The effects of the conductance's parameter λ on the linear dispersion curve are also analyzed. It appears that an increase of λ induces a decrease (an increase) of the width of the bandpass filter for positive (negative) values of λ. By applying the reductive perturbation method, we derive the equation governing the dynamics of the modulated waves in the system. This equation is the well-known nonlinear Schrödinger equation extended by a linear term proportional to a hybrid parameter σ, i.e., a dissipation or amplification coefficient. Based on this parameter, we successfully demonstrate the hybrid behavior (dissipation and amplification) of the system. The exact and approximate solitary wave solutions of the obtained equation are derived, and the effects of the coefficient σ on the characteristic parameters of these waves are investigated. Using the analytical solutions found, we show numerically that the waves that are propagated throughout the system can be dissipated, amplified, or remain stable depending on the network parameters. These results are not only in agreement with the analytical predictions, but also with the existing experimental results in the literature.
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Received: 06 January 2023
Revised: 22 February 2023
Accepted manuscript online: 15 March 2023
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PACS:
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05.45.Yv
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(Solitons)
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05.45.-a
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(Nonlinear dynamics and chaos)
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63.20.Pw
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(Localized modes)
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Corresponding Authors:
Guy Roger Deffo
E-mail: guyrdeffo@yahoo.fr
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Cite this article:
Sedric Ndoungalah, Guy Roger Deffo, Arnaud Djine, and Serge Bruno Yamgoué Dissipation and amplification management in an electrical model of microtubules: Hybrid behavior network 2023 Chin. Phys. B 32 110505
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[1] Hie B L, Yang K K and Kim P S 2022 Cell Systems 13 274
[2] Sirbu B, Couch F and Cortez D 2012 Nat. Protoc. 7 594
[3] Priel A, Tuszynski J A and Woolf N J 2010 J. Biol. Phys. 36 3
[4] Tuszynski J A, Brown J A, et al. 2005 Math. Comput. Model. 41 1055
[5] Havelka D, Cifra M, et al. 2011 J. Theor. Biol. 286 31
[6] Kucera O and Havelka D 2012 BioSystems 109 346
[7] Priel A, Ramos A J, Tuszynski J A and Cantiello H F 2006 Biophys. J. 90 4639
[8] Minoura I and Muto E 2006 Biophys. J. 90 3739
[9] Freedman H, Rezania V, Priel A, et al. 2010 Phys. Rev. E 81 051912
[10] Havelka D, Cifra M and Kucera O 2014 Appl. Phys. Lett. 104 243702
[11] Zdravkovic S, Bugay A N, Aru G F and Maluckov A 2014 Chaos 24 023139
[12] Zdravkovic S, Sataric M V, Maluckov A and Balaz B 2014 Appl. Math. Comput. 237 227
[13] Tuszynski J A, Portet S, Luxford J M and Cantiello H F 2004 Biophys. J. 86 1890
[14] Priel A and Tuszynski J A 2008 Europhys. Lett. 83 68004
[15] Ilic D I, Sataric M V and Ralevic N 2009 Chin. Phys. Lett. 26 073101
[16] Sataric M V, Ilic D I, et al. 2009 Eur. Biophys. J. 38 637
[17] Sataric M V, Sekulic D and Zivanov M 2010 J. Comput. Theor. Nanosci. 7 2281
[18] Sekulic D L, Sataric B M, Tuszynski J A and Sataric M V 2011 Eur. Phys. J. E 34 49
[19] Sataric M V, Sekulica D L, Sataric B M and Zdravkovic S 1015 Prog. Biophys. Mol. Biol. 119 162
[20] Ndjomatchoua F T, Tchawoua C, et al. 2016 Chaos 26 053111
[21] Ghomsi P G, Berinyoh J T T and Kakmeni F M M 2018 Chaos 28 023106
[22] Ndzana F II and Mohamadou A 2019 Chaos 29 013116
[23] Mvogo A, Ndzana F II and Kofane T C 2019 Wave Motion 84 46
[24] Priel A, Ramos A J, Tuszynski J A and Cantiello H F 2008 J. Biol Phys. 34 475
[25] Deffo G R, Yamgoué S B and Pelap F B 2021 Chaos Soliton Fract. 152 111397
[26] Deffo G R, Yamgoué S B and Pelap F B 2018 Phys. Rev. E 98 062201
[27] Essimbi B Z and Jäger D 2005 Current Applied Physics 5 567
[28] Jaeger D, Kalinowski D, et al. 2007 Microw. Opt. Technol. Lett. 49 2907
[29] Fonkoua S A T, Ngounou S M, Deffo G R, et al. 2020 Chin. Phys. B 29 030501
[30] Pelab F B, Kofané T C, Flytzanis N and Remoissenet M 2001 J. Phys. Soc. Jpn 70 2568
[31] Kengne E, Lakhssassi A and Liu M M 2015 Phys. Rev. E 91 062915
[32] Kengne E 2021 Eur. Phys. J. Plus 136 266
[33] Okaly J B, Ndzana II F, Woulaché R L and Kofané TC 2019 Eur. Phys. J. Plus 134 598
[34] Giannini J A and Joseph R I 1990 IEEE J. Quantum Electron 26 2109
[35] Marquié R, Bilbault J M and Remoissenet M 1995 Physica D 87 371
[36] Demiray H 2003 Appl. Math. Comput. 145 179
[37] Wen X Y and Yan Z 2018 J. Math. Phys. 59 073511
[38] Wen X Y, Yan Z and Malomed B A 2016 Chaos 26 123110
[39] Kengne E and Lakhssassi A 2022 Chaos Soliton Fract. 160 112239
[40] Wen X Y and Yan Z 2015 Chaos 25 123115
[41] Cui W N, Zhu Y Y and Li H X 2010 Chin. Phys. Lett. 27 114101
[42] Xu Q and Qiang T 2009 Chin. Phys. Lett. 26 070501
[43] Xu Q and Qiang T 2010 Chin. Phys. Lett. 27 020505
[44] Xu Q and Qiang T 2009 Chin. Phys. Lett. 26 040501
[45] Huang L F, Li Y L, Ni M Y, et al. 2009 Acta Phys. Sin. 58 306 (in Chinese)
[46] Xie Z D, Xia C, et al. 2019 Chin. Phys. B 28 077501
[47] Xiang Z, Tang C and Yan L 2019 Chin. Phys. B 28 048701
[48] Yamgoué, Deffo G R, Tala-Tebue E and Pelap F B 2018 Chin. Phys. B 27 126303
[49] Yamgoué, Deffo G R, Tala-Tebue E and Pelap F B 2018 Chin. Phys. B 27 096301
[50] Su W, Xie J, Wu T, et al. 2018 Chin. Phys. B 27 097501 |
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