Results 1 to 10 of about 2,025,105 (168)
Dendrite Net with Acceleration Module for Faster Nonlinear Mapping and System Identification [PDF]
Mathematics, 2020 Nonlinear mapping is an essential and common demand in online systems, such as sensor systems and mobile phones. Accelerating nonlinear mapping will directly speed up online systems.
Gang Liu +5 more
semanticscholar +1 more source
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
doaj +1 more source
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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Moving Boundary Problems for Quasi-Steady Conduction Limited Melting [PDF]
SIAM Journal on Applied Mathematics, 2019 The problem of melting a crystal dendrite is modelled as a quasi-steady Stefan problem. By employing the Baiocchi transform, asymptotic results are derived in the limit that the crystal melts completely, extending previous results that hold for a special
Liam C. Morrow +3 more
semanticscholar +1 more source
ChatGPT: A revolutionary tool for teaching and learning mathematics
Eurasia Journal of Mathematics, Science and Technology Education, 2023 This study aims to examine the perspectives of various stakeholders, such as students and educators, on the use of artificial intelligence in teaching mathematics, specifically after the launch of ChatGPT.
Yousef Wardat +3 more
semanticscholar +1 more source
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
openaire +3 more sources
Partial Reset in Pulse-Coupled Oscillators [PDF]
SIAM Journal on Applied Mathematics, 2008 Pulse-coupled threshold units serve as paradigmatic models for a wide range of complex systems. When the state variable of a unit crosses a threshold, the unit sends a pulse that is received by other units, thereby mediating the interactions. At the same
Christoph Kirst, M. Timme
semanticscholar +1 more source
A brain-wave equation incorporating axo-dendritic connectivity [PDF]
, 2020 We introduce an integral model of a two-dimensional neural field that includes a third dimension representing space along a dendritic tree that can incorporate realistic patterns of axo-dendritic connectivity.
Avitabile, Daniele +5 more
core +5 more sources
Topological entropy of transitive dendrite maps [PDF]
, 2012 We show that every dendrite satisfying the condition that no subtree of it contains all free arcs admits a transitive, even exactly Devaney chaotic map with arbitrarily small entropy. This gives a partial answer to a question of Baldwin from 2001.Comment:
Špitalský, Vladimír
core +1 more source
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
openaire +2 more sources