2001
DOI: 10.1016/s0378-4371(01)00399-5
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Information transport by sine-Gordon solitons in microtubules

Abstract: We study the problem of information propagation in brain microtubules. After considering the propagation of electromagnetic waves in a fluid of permanent electric dipoles, the problem reduces to the sine-Gordon wave equation in one space and one time dimensions. The problem of propagation of information is thus set.Comment: 3 page

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Cited by 26 publications
(14 citation statements)
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“…Since we do not have any practical means to either measure the spin variable s , or account for its dynamical details, we assume its quantum average as suggested by Abdalla et al (2001). Such an average is easily obtained due to the simple description of s in terms of the Pauli matrices, leading to a result expressed in terms of the exponential of the field θ , defined by:…”
Section: Coherent Photon Emission Pulse Modesmentioning
confidence: 99%
“…Since we do not have any practical means to either measure the spin variable s , or account for its dynamical details, we assume its quantum average as suggested by Abdalla et al (2001). Such an average is easily obtained due to the simple description of s in terms of the Pauli matrices, leading to a result expressed in terms of the exponential of the field θ , defined by:…”
Section: Coherent Photon Emission Pulse Modesmentioning
confidence: 99%
“…The standing breather swinging at certain tubulin tail (or breather formed by 2-3 coupled swinging tubulin tails) could catalyze microtubule attachment proteins (MAP) and promote or inhibit the action of kinesin-proteins involved in the microtubule dynamics. 82) Another interesting result of the work of Abdalla et al 81) is the fact that the frequency parameters, which showed up in the model, are compatible with the size of microtubules of brain structures and with the transition period observed for the so called conformational changes of the tubulin dimer protein (namely 1-100 GHz).…”
Section: The Word Soliton Emanates From John Scott Russell's Observatmentioning
confidence: 81%
“…Such interaction occurs with the dipole moments of the molecules in the brain microtubules. 79) Abdalla et al 81) studied the problem of information propagation in the brain microtubules, considering propagation of electromagnetic waves in a fluid of permanent electric dipoles. The problem reduces to sine-Gordon wave equation in one space and one time dimension.…”
Section: The Word Soliton Emanates From John Scott Russell's Observatmentioning
confidence: 99%
“…For the case of sine-Gordon solitons, the information transport has been investigated by Abdalla et al [21].…”
Section: Quantum Information In the Mt Wallsmentioning
confidence: 99%