Stochastic integrate and fire models: a review on mathematical methods and their applications
L Sacerdote, MT Giraudo - … models: with applications to neuronal modeling, 2013 - Springer
Mathematical models are an important tool for neuroscientists. During the last 30 years
many papers have appeared on single neuron description and specifically on stochastic …
many papers have appeared on single neuron description and specifically on stochastic …
Computational neuroscience: Mathematical and statistical perspectives
Mathematical and statistical models have played important roles in neuroscience, especially
by describing the electrical activity of neurons recorded individually, or collectively across …
by describing the electrical activity of neurons recorded individually, or collectively across …
Geometric capture and escape of a microswimmer colliding with an obstacle
Motivated by recent experiments, we consider the hydrodynamic capture of a microswimmer
near a stationary spherical obstacle. Simulations of model equations show that a swimmer …
near a stationary spherical obstacle. Simulations of model equations show that a swimmer …
Made-to-order spiking neuron model equipped with a multi-timescale adaptive threshold
Information is transmitted in the brain through various kinds of neurons that respond
differently to the same signal. Full characteristics including cognitive functions of the brain …
differently to the same signal. Full characteristics including cognitive functions of the brain …
The Morris–Lecar neuron model embeds a leaky integrate-and-fire model
We show that the stochastic Morris–Lecar neuron, in a neighborhood of its stable point, can
be approximated by a two-dimensional Ornstein–Uhlenbeck (OU) modulation of a constant …
be approximated by a two-dimensional Ornstein–Uhlenbeck (OU) modulation of a constant …
Expediting Feller process with stochastic resetting
S Ray - Physical Review E, 2022 - APS
We explore the effect of stochastic resetting on the first-passage properties of the Feller
process. The Feller process can be envisioned as space-dependent diffusion, with diffusion …
process. The Feller process can be envisioned as space-dependent diffusion, with diffusion …
[HTML][HTML] The neuromorphic computing for biointegrated electronics
SJ Yoon, JT Park, YK Lee - Soft Science, 2024 - oaepublish.com
This review investigates the transformative potential of neuromorphic computing in
advancing biointegrated electronics, with a particular emphasis on applications in medical …
advancing biointegrated electronics, with a particular emphasis on applications in medical …
Synapses with short-term plasticity are optimal estimators of presynaptic membrane potentials
The trajectory of the somatic membrane potential of a cortical neuron exactly reflects the
computations performed on its afferent inputs. However, the spikes of such a neuron are a …
computations performed on its afferent inputs. However, the spikes of such a neuron are a …
Motoneuron membrane potentials follow a time inhomogeneous jump diffusion process
Stochastic leaky integrate-and-fire models are popular due to their simplicity and statistical
tractability. They have been widely applied to gain understanding of the underlying …
tractability. They have been widely applied to gain understanding of the underlying …
Fractional Ornstein-Uhlenbeck process with stochastic forcing, and its applications
We consider a fractional Ornstein-Uhlenbeck process involving a stochastic forcing term in
the drift, as a solution of a linear stochastic differential equation driven by a fractional …
the drift, as a solution of a linear stochastic differential equation driven by a fractional …