Abstract
Nowadays, the physical analogy in biology has become a desirable research domain for academics. Here, we discussed many exciting features regarding the biological system that could help us to understand the underlying mechanism inside it. This manuscript focuses on the soliton/Bloch wave concept along with the periodic active protein polarized dendrite. The velocity of the existent soliton wave is identified by considering the transmission line model of protein polarized dendrite as a dielectric waveguide. This paper aims to understand and explore the mechanisms of biological rhythms and the role of neural oscillations and synchrony in information processing.
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References
J H Byrne and S G Schultz Introduction to Membrane Transport and Biolectricity. (New York) 232 (1988)
S F Gilbert and S Sarkar Embracing Complexity: Organicism for the 21st Century (Developmental dynamics) 219(1) 1(2000)
J E Lugo, R Doti, R Agarwal, K Ray, and J Faubert Adv. Sci. Eng. Med. 7(1) 62 (2015)
C Kittel Crystal Structure. Introduction to Solid State Physics (Wiley), 8th ed, p 3 (2005)
D W Prather Photonic Crystals, Theory, Applications, and Fabrication (Wiley) (2009)
M I Hussein A Math. Phys. Eng. Sci. 2825 (2009)
J D Joannopoulos, SG Johnson, JN Winn, and RD Meade Photonic Crystals: Molding the Flow of Light (Princeton university press) (2011)
J P Vigneron and P Simonis Phys. B Condens. Matter 407(20) 4032–4036 (2012)
H Onslow. Nature 106 181 (1920)
Z Jian, Y Xindi, L Yizhou, H Xinhua, X Chun, W Xingjun, L Xiaohan, and F Rongtang Proceedings of the National Academy of Science 100(22) 12576 (2003)
PC Bressloff & JD Cowan Physica D: Nonlinear Phenomena 173(3) 226 (2002)
D L Sekulic, M. V. Sataric, M. B. Zivanov, J. S. Bajic Elektronika ir Elektrotechnika 121(5) 53 (2012)
A C Scott, CF Y F hu, D W McLaughlin Proceedings of the IEEE 61(10) 1443 (1973)
D Li and J Zhao Chin. Phys. Lett 26 5 (2009)
J Mozziconacci, L Sandblad, M Wachsmuth, D Brunner, and E Karsenti PLoS ONE 3(11) e3821 (2008)
D Chrétien, SD Fuller, and E Karsenti J. Cell Biol. 129(5) 1311 (1995)
R Pizzi, G Strini, S Fiorentini, V Pappalardo and M Pregnolato Evidences of new biophysical properties of microtubules (In: Artificial Neural Networks) ch 20, ISBN: 978-1-61761-553-5 (2010).
S Hamer off and R Penrose, J. Consciouss. Stud. 2 98 (1995)
M Jibu, S Hagan, S Hameroff, K Pribram and K. Yasue Biosystems 32 195 (1994)
S. Hameroff, R. Penrose Physics of Life Reviews 11(1) 39 (2013)
Z G Ma John Journal of Natural and Social Philosophy 13(2) (2017)
W Malfiet Am. J. Phys. 60 650 (1992)
P Sachdev Non Linear Diffusion Equation (Cambridge) p. 9 (1987)
E Infeld and G. Rowlands Non-Linear Waves, Solitons and Chaos (Cambridge) p. 1 (1990)
G Eilenberger Solitons (springer, berlin) p. 140 (1993)
P Drazin, R. Johnson Solitons: an Introduction (Cambridge) p. 20 (1989)
G Whitham Linear and Non linear Waves (Wiley, New York) p. 577 (1974)
E Başar Dialogues Clin Neurosci 15(3) 291 (2013)
R Bódizs, T Kis, AS Lázár, L Havrán, P Rigó, Z Clemens, P Halász J. Sleep Res. 14(3) 285 (2005)
LV Moran and LE Hong Schizophrenia Bull. 37(4) 659(2011)
K Ray, R Agarwal, LA Cacha, &RR Poznanski Protein polarization induced bloch waves in axonal fibres (11th International Conference on Vibration Problems) (Lisbon, Portugal) p. 9 (2013)
K Wang, W J Rappel, and H Levine Physical biology1(1) 27 (2004)
W Hereman and M Takaoka J. Phys. A: Math Gen. 23, 4805 (1990)
A. Dold and B. Eckmann Backlund Transformations” Lecture Notes in Mathematics (Springer, Berlin) vol. 515, p. 10 (1974)
F Varela, J P Lachaux, E Rodriguez, and J Martinerie Nat. Rev. Neurosci. 2 229 (2001)
E Basar, C Basar-Eroˇglu, S Karakas, and M. Schürmann Int. J. Psychophysiol. 35 95 (2000)
W Klimesch, M Doppelmayr, T H Pachinger, and B. Ripper Neurosci. Lett. 238 9 (1997)
W Klimesch Brain. Res. Rev. 29 169 (1999)
K A Lindsay, J R Rosenberg, and G Tucker Prog. Biophys. And Molec. Biol. 85 71 (2004)
R R Poznanski Phys. Rev. E 81 021902 (2010)
L A Cacha and R R Poznanski J. Integr. Neurosci. 10 423 (2011)
D Aur and M S Jog Neuroelectrodynamics: Understanding the Brain Language (IOS Press, The Netherlands) (2010)
R J Douglas and M K Cliford IEEE MTT-S Digest. 3 1831 (2004)
E Afshari and A Hajimiri IEEE J. Solid-State Circuits 40 3 (2005)
A M Dikande and G A Bartholomew Phys. Rev. E. 80 041904 (2009)
R R Poznanski, L A Cacha, J. Ali, P P. Yupapin, S H Salleh, A. Bandyopadhya PLOS (2017). https://doi.org/10.1371/journal.pone.0183677
R R Poznanski and L A Cacha J. Integr. Neurosci 11 417 (2012)
R R Poznanski, L A Cacha, Y M S Al-Wesabi, J Ali, M. Bahadoran, P P. Yupapin,and Y. Yunus Scientific Reports7 2746 (2017)
Kogelink, G., Theory of Dielectric Waveguide https://pdfs.semanticscholar.org/72d9/87b71d4f470bc6b8cfdb145f54c252ff230b.pdf
A Mershin, AA Kolomenski, HA Schuessler, DV Nanopoulos Biosystems 77 73 (2004)
S R Hameroff Neuro-Quantol. 5(1) 1 (2007)
J L Powell, B Crasemann Quant. Mech. (1961)
C. Kittel Introduction to Solid State Physics (Wiley, New York) (1996)
J Binney and D Skinner The Physics of Quantum Mechanics (Cappella Archive) revised printings (2009, 2010, 2011).
M Ali, Y Pham Quantum Tunneling (SRJC PHYS43) (Springer) (2014)
F Trixler Curr. Organic Chem. 17 1758 (2013)
Sigrid and Sigurd, Band theory of solids: March 24 (2010)
M L Smith PNAS 103(14) 5626 (2006)
A N Burkitt Biol. Cybern. 95(1) 1 (2006)
J Feng, P. Zhang Phys. Rev. E, Statistic. Phys. Plasmas Fluids Relat. Interdisciplinary Topics 63(5) (2001)
J M Stroud Inf. Theory Psychol. 174 (1956)
C T Tart Personal Communication and Information Gathered from Buddha-1 newsnet. (1995)
K Ray and M K Roy A theoretical basis for brain waves with implications for a large scale integration required for cognitive process (IEEE Computer Society) p 436 (2010)
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The authors express sincere thanks to Prof. S L Kothari, Vice President, ASTIF, AUR for his support and encouragement.
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KR and AB designed research; PS performed research. All authors wrote the paper.
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Singh, P., Lugo, J.E., Faubert, J. et al. Bloch wave concept: transmission line model based on protein polarized dendrites treated as dielectric waveguide resonator. Indian J Phys 95, 815–822 (2021). https://doi.org/10.1007/s12648-020-01761-z
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DOI: https://doi.org/10.1007/s12648-020-01761-z