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Mathematical modeling of dendrite growth in an Al–Ge alloy with convective flow [PDF]
Mathematical Methods in the Applied Sciences, 2021 A theory of stable dendrite growth in an undercooled binary melt is developed for the case of intense convection. Conductive heat and mass transfer boundary conditions are replaced by convective conditions, where the flux of heat (or solute) is proportional to the temperature or concentration difference between the surface of the dendrite and far from ...
Liubov V. Toropova +3 more
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Mathematical study of a nonlinear neuron model with active dendrites
AIMS Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Cavarretta, Giovanni Naldi
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Transactions of the Iron and Steel Institute of Japan, 1988 An exact solution and an approximate solution have been derived for the columnar dendrite model proposed by Ohnaka, 8) in which a solidification rate, equilibrium distribution coefficient and diffusion coefficient in solid are assumed to be constant throughout the solidification.
S. Kobayashi
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A mathematical model of potential spreading along neuron dendrites of cerebellar granule cells
Applied Mathematics and Computation, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Comincioli +4 more
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Phenomenological model of superconducting optoelectronic loop neurons
Physical Review Research, 2023 Superconducting optoelectronic loop neurons are a class of circuits potentially conducive to networks for large-scale artificial cognition. These circuits employ superconducting components including single-photon detectors, Josephson junctions, and ...
Jeffrey M. Shainline +2 more
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Mathematical Modeling and Analysis of Spatial Neuron Dynamics: Dendritic Integration and Beyond [PDF]
Communications on Pure and Applied Mathematics, 2021 Neurons compute by integrating spatiotemporal excitatory (E) and inhibitory (I) synaptic inputs received from the dendrites. The investigation of dendritic integration is crucial for understanding neuronal information processing. Yet quantitative rules of dendritic integration and their mathematical modeling remain to be fully elucidated. Here neuronal
Li, Songting +2 more
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Gain Control With A-Type Potassium Current: IA As A Switch Between Divisive And Subtractive Inhibition [PDF]
, 2018 Neurons process and convey information by transforming barrages of synaptic inputs into spiking activity. Synaptic inhibition typically suppresses the output firing activity of a neuron, and is commonly classified as having a subtractive or divisive ...
Goldwyn, Joshua H. +3 more
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The dendritic tree a mathematical integrator
Frontiers in Bioscience, 2017 Neurons in the primary visual cortex (V1) are sensitive to simple features of the visual scene such as contrast, spatial frequency or orientations. In higher mammals, they are organized into columns of orientation-preference, whereas such organization is absent in rodents.
Lyes, Bachatene, Vishal, Bharmauria
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