A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons

doi:10.1088/1674-1056/28/4/048701

中国物理B ›› 2019, Vol. 28 ›› Issue (4): 48701-048701.doi: 10.1088/1674-1056/28/4/048701

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons

Zuoxian Xiang(向左鲜), Chuanxiang Tang(唐传祥), Lixin Yan(颜立新)

Department of Engineering Physics, Tsinghua University, Beijing 100084, China

收稿日期:2018-11-19 修回日期:2018-12-03 出版日期:2019-04-05 发布日期:2019-04-05
通讯作者: Chuanxiang Tang E-mail:tang.xuh@tsinghua.edu.cn

A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons

Zuoxian Xiang(向左鲜), Chuanxiang Tang(唐传祥), Lixin Yan(颜立新)

Department of Engineering Physics, Tsinghua University, Beijing 100084, China

Received:2018-11-19 Revised:2018-12-03 Online:2019-04-05 Published:2019-04-05
Contact: Chuanxiang Tang E-mail:tang.xuh@tsinghua.edu.cn

摘要/Abstract

摘要：

Microtubules (MTs) are part of the cellular cytoskeleton and they play a role in many activities, such as cell division and maintenance of cell shape. In recent years, MTs have been thought to be involved in storing and processing information. Several models have been developed to describe the information-processing ability of MTs. In these models, MTs are considered as a device that can transmit quantum information. However, MTs are affected by the “wet and warm” cellular environment, thus it is essential to calculate the decoherence time. Many researchers have attempted to calculate this parameter but the values that have been obtained vary markedly. Previous studies considered the cellular environment as a distant ion; however, this treatment is somewhat simplified. In this study, we develop a model to determine the decoherence time in neuronal MTs while considering the interaction effects of the neuronal fluid environment. The neuronal environment is considered as a plasmon reservoir. The coupling between MTs and neuronal environment occurs due to the interaction between dipoles and plasmon. The interaction Hamiltonian is derived by using the second quantization method, and the coupling coefficient is calculated. Finally, the decoherence time scale is estimated according to the interaction Hamiltonian. In this paper, the time scale of decoherence in MTs is approximately 1 fs-100 fs. This model may be used as a reference in other decoherence processes in biological tissues.

关键词: consciousness, microtubules, quantum decoherence

Abstract:

Key words: consciousness, microtubules, quantum decoherence

中图分类号: (General theory and mathematical aspects)

87.10.-e

87.10.Vg (Biological information)

向左鲜, 唐传祥, 颜立新. A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons[J]. 中国物理B, 2019, 28(4): 48701-048701.

Zuoxian Xiang(向左鲜), Chuanxiang Tang(唐传祥), Lixin Yan(颜立新). A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons[J]. Chin. Phys. B, 2019, 28(4): 48701-048701.

参考文献 41

[1]	Turin L 1996 Chem. Senses 21 773 doi: 10.1093/chemse/21.6.773
[2]	Franco M I and Siddiqi O 2011 Proc. Natl. Acad. Sci. USA 108 3797 doi: 10.1073/pnas.1012293108
[3]	Ritz T, Adem S and Schulten K 2000 Biophys. J. 78 707 doi: 10.1016/S0006-3495(00)76629-X
[4]	Hiscock H G, Worster S, Kattnig D R, Steers C, Jin Y, Manolopoulos D E, Mouritsen H and Hore P J 2016 Proc. Natl. Acad. Sci. USA 113 201600341
[5]	Gregory S E, Tessa R C, Elizabeth L R, Tae-Kyu A, Tomás M, Yuan-Chung C, Robert E B and Graham R F 2007 Nature 446 782 doi: 10.1038/nature05678
[6]	Romero E, Augulis R, Novoderezhkin V I, Ferretti M, Thieme J, Zigmantas D and Van Grondelle R 2014 Nat. Phys. 10 676 doi: 10.1038/nphys3017
[7]	Levi F, Mostarda S, Rao F and Mintert F 2015 Rep. Prog. Phys. 78 082001 doi: 10.1088/0034-4885/78/8/082001
[8]	Novelli F, Nazir A, Richards G H, Roozbeh A, Wilk K E, Curmi P M and Davis J A 2015 J. Phys. Chem. Lett. 6 4573 doi: 10.1021/acs.jpclett.5b02058
[9]	Sarovar M, Ishizaki A, Fleming G and Whaley B 2010 Nat. Phys. 3 462
[10]	Marletto C, Coles D, Farrow T and Vedral V 2018 J. Phys. Commun. 2 101001 doi: 10.1088/2399-6528/aae224
[11]	Mesquita M V, Vasconcellos À R, Luzzi R and Mascarenhas S 2005 Int. J. Quantum Chem. 102 1116 doi: 10.1002/qua.20424
[12]	Jackendoff R 1987 Consciousness and the Computational Mind (Cambridge: The MIT Press) pp. 275-280
[13]	Tononi G, Boly M, Massimini M and Koch C 2016 Nat. Rev. Neurosci. 17 450 doi: 10.1038/nrn.2016.44
[14]	Crick F and Koch C 2003 Nat. Neurosci. 6 119 doi: 10.1038/nn0203-119
[15]	Edelman G M 2003 Proc. Natl. Acad. Sci. USA 100 5520 doi: 10.1073/pnas.0931349100
[16]	Jahn R G and Dunne B J 2007 Found. Phys. 3 306
[17]	Mershin A, Sanabria H, Miller J H, Nawarathna D, Skoulakis E M, Mavromatos N E, Kolomenskii A A, Schuessler H A, Luduena R F and Nanopoulos D V 2006 The Emerging Physics of Consciousness (Berlin: Springer) pp. 95-170
[18]	Hameroff S and Penrose R 2014 Phys. Life Rev. 11 39 doi: 10.1016/j.plrev.2013.08.002
[19]	Hameroff S and Penrose R 2014 Phys. Life Rev. 11 94 doi: 10.1016/j.plrev.2013.11.013
[20]	Hameroff S R and Penrose R 2017 Biophysics of Consciousness: A Foundational Approach (Singapore: World Scientific) pp. 517-599
[21]	Craddock T J A and Tuszynski J A 2010 J. Biol. Phys. 36 53 doi: 10.1007/s10867-009-9158-8
[22]	Craddock T J, Priel A and Tuszynski J A 2014 J. Integr. Neurosci. 13 293 doi: 10.1142/S0219635214400019
[23]	Fisher M 2015 Ann. Phys. 61 593
[24]	Hameroff S R 2007 Cogn. Sci. 31 1035 doi: 10.1080/03640210701704004
[25]	Mavromatos N E, Mershin A and Nanopoulos D V 2002 Int. J. Mod. Phys. B 16 3623 doi: 10.1142/S0217979202011512
[26]	Mavromatos N 1999 Bioelectrochemistry Bioenergetics 48 273 doi: 10.1016/S0302-4598(99)00015-X
[27]	Tegmark M 2000 Phys. Rev. E 61 4194 doi: 10.1103/PhysRevE.61.4194
[28]	Hagan S, Hameroff S R and Tuszyński J A 2002 Phys. Rev. E 65 061901 doi: 10.1103/PhysRevE.65.061901
[29]	Nelson P 2007 Biological Physics (New York: WH Freeman) p. 416
[30]	Priel A, Tuszynski J A and Woolf N J 2005 Eur. Biophys. J. Biophys. Lett. 35 40 doi: 10.1007/s00249-005-0003-0
[31]	Privman V and Tolkunov D 2005 Quantum Information and Computation Ⅲ (Bellingham: The International Society for Optics and Photonics), pp. 187-195
[32]	Tolkunov D, Privman V and Aravind P K 2005 Phy. Rev. A 71 060308 doi: 10.1103/PhysRevA.71.060308
[33]	Craddock T J, Friesen D, Mane J, Hameroff S and Tuszynski J A 2014 J. R. Soc. Interface 11 20140677 doi: 10.1098/rsif.2014.0677
[34]	Chen Y, Okur H I, Gomopoulos N, Macias-Romero C, Cremer P S, Petersen P B, Tocci G, Wilkins D M, Liang C and Ceriotti M 2016 Sci. Adv. 2 e1501891
[35]	Fröhlich H 1968 Int. J. Quantum Chem. 2 641 doi: 10.1002/qua.560020505
[36]	Wu T M and Austin S J 1981 J. Biol. Phys. 9 97 doi: 10.1007/BF01987286
[37]	Bohm D and Pines D 1953 Phy. Rev. 92 609 doi: 10.1103/PhysRev.92.609
[38]	Yin C C and Biophysics D O 2018 Chin. Phys. B 27 058703 doi: 10.1088/1674-1056/27/5/058703
[39]	Zheng C J, Jia T Q, Zhao H, Xia Y J, Zhang S A and Sun Z R 2018 Chin. Phys. B 27 057802 doi: 10.1088/1674-1056/27/5/057802
[40]	Wade C G, Šibalić N, de Melo N R, Kondo J M, Adams C S and Weatherill K J 2017 Nat. Photon. 11 40 doi: 10.1038/nphoton.2016.214
[41]	Trocha P, Karpov M, Ganin D, Pfeiffer M H, Kordts A, Wolf S, Krockenberger J, Marin-Palomo P, Weimann C and Randel S 2018 Science 359 887 doi: 10.1126/science.aao3924

A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons

A primary model of decoherence in neuronal microtubules based on the interaction Hamiltonian between microtubules and plasmon in neurons

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 41

相关文章 7

Metrics

本文评价

推荐阅读 0

[1]	赵文垒, 揭泉林. Quantum to classical transition induced by a classically small influence[J]. 中国物理B, 2020, 29(8): 80302-080302.
[2]	杨光, 廉保旺, 聂敏, 金娇. Bidirectional multi-qubit quantum teleportation in noisy channel aided with weak measurement[J]. 中国物理B, 2017, 26(4): 40305-040305.
[3]	杨光, 廉保旺, 聂敏. Decoherence suppression for three-qubit W-like state using weak measurement and iteration method[J]. 中国物理B, 2016, 25(8): 80310-080310.
[4]	韩伟, 江克侠, 张英杰, 夏云杰. Quantum speed limits for Bell-diagonal states[J]. 中国物理B, 2015, 24(12): 120304-120304.
[5]	L. Kavitha, A. Muniyappan, S. Zdravković, M. V. Satarić, A. Marlewski, S. Dhamayanthi, D. Gopi. Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes[J]. 中国物理B, 2014, 23(9): 98703-098703.
[6]	Slobodan Zeković, Annamalai Muniyappan, Slobodan Zdravković, Louis Kavitha. Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules[J]. 中国物理B, 2014, 23(2): 20504-020504.
[7]	张英杰, 杨秀芹, 韩伟, 夏云杰. Comparison of entanglement trapping among different photonic band gap models[J]. 中国物理B, 2013, 22(9): 90307-090307.