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Supersymmetric methods in the traveling variable: inside neurons and at the brain scale
HARET CODRATIAN ROSU
OCTAVIO CORNEJO PEREZ
JAIME ENRIQUE PEREZ TERRAZAS
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1142/9789812779953_0010
Biophysics
Complex Systems
Quantum Information
Soliton excitation
Nonlinear Wave Equation
Brain Dynamics
"We apply the mathematical technique of factorization of differential operators to two different problems. First we review our results related to the supersymmetry of the Montroll kinks moving onto the microtubule walls as well as mentioning the sine-Gordon model for the microtubule nonlinear excitations. Second, we find analytic expressions for a class of one-parameter solutions of a sort of diffusion equation of Bessel type that is obtained by supersymmetry from the homogeneous form of a simple damped wave equation derived in the works of P.A. Robinson and collaborators for the corticothalamic system. We also present a possible interpretation of the diffusion equation in the brain context."
World Scientific Publishing Company
2008
Capítulo de libro
Inglés
Público en general
H. C. Rosu, O. Cornejo-Pérez, and J. E. Pérez-Terrazas (2008) Supersymmetric Methods in the Traveling Variable: Inside Neurons and at the Brain Scale. Physics of Emergence and Organization: pp. 253-265.
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
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Aparece en las colecciones: Publicaciones Científicas Nanociencias y Materiales

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