Effects on dendritically located H‐current on synaptic integration: a mathematical model
The h‐current (I h ) is a cation current that improves cell excitability in three interrelated ways: it helps to determine the resting potential and firing frequency; it reduces the amplitude and duration of hyperpolarizing inputs; and it generates rhythmic cell activity when coupled to other
Francisco Mariano Arencibia‐Albite +2 more
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A lattice-Boltzmann (LB) scheme, based on the Bhatnagar-Gross-Krook (BGK) collision rules is developed for a phase-field model of alloy solidification in order to simulate the growth of dendrites.
Cartalade, Alain +2 more
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Paper folding, Riemann surfaces, and convergence of pseudo-Anosov sequences
A method is presented for constructing closed surfaces out of Euclidean polygons with infinitely many segment identifications along the boundary. The metric on the quotient is identified.
Ahlfors +10 more
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Local synaptic signaling enhances the stochastic transport of\ud motor-driven cargo in neurons [PDF]
The tug-of-war model of motor-driven cargo transport is formulated as an intermittent trapping process. An immobile trap, representing the cellular machinery that sequesters a motor-driven cargo for eventual use, is located somewhere within a microtubule
Bressloff, P. C., Newby, J. M.
core
Finite-velocity diffusion on a comb
A Cattaneo equation for a comb structure is considered. We present a rigorous analysis of the obtained fractional diffusion equation, and corresponding solutions for the probability distribution function are obtained in the form of the Fox $H$-function ...
Iomin, Alexander, Sandev, Trifce
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Dendritic spines in the visual cortex of the mouse: Introduction to a mathematical model
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Valverde, Facundo, Ruiz-Marcos, Antonio
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Dendrites, Topological Graphs, and 2-Dominance [PDF]
For each positive ordinal α, the reflexive and transitive binary relation of α-dominance between compacta was first defined in our paper [Mapping properties of co-existentially closed continua, Houston J.
Bankston, Paul
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A preliminary mathematical model of skin dendritic cell trafficking and induction of T cell immunity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erickson, Amy H. Lin +7 more
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How do neurons operate on sparse distributed representations? A mathematical theory of sparsity, neurons and active dendrites [PDF]
Subutai Ahmad, Jeff Hawkins
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A mathematical model of dendritic microstructures in nickel-based superalloys
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Wang , Wei, Wang , Wei
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