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 …

The calcium-binding protein parvalbumin modulates the firing 1 properties of the reticular thalamic nucleus bursting neurons

L Albéri, A Lintas, R Kretz… - Journal of …, 2013 - journals.physiology.org
The reticular thalamic nucleus (RTN) of the mouse is characterized by an overwhelming
majority of GABAergic neurons receiving afferences from both the thalamus and the cerebral …

On the inverse first-passage-time problem for a Wiener process

C Zucca, L Sacerdote - The Annals of Applied Probability, 2009 - JSTOR
The inverse first-passage problem for a Wiener process (W_t)_t\geq0 seeks to determine a
function b: R_+→R such that τ=inft>0|W_t≧b(t) has a given law. In this paper two methods …

The Gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model

P Lansky, L Sacerdote, C Zucca - Biological cybernetics, 2016 - Springer
Statistical properties of spike trains as well as other neurophysiological data suggest a
number of mathematical models of neurons. These models range from entirely descriptive …

The effects of background noise on a biophysical model of olfactory bulb mitral cells

M Craft, C Ly - Bulletin of Mathematical Biology, 2022 - Springer
The spiking activity of mitral cells (MC) in the olfactory bulb is a key attribute in olfactory
sensory information processing to downstream cortical areas. A more detailed …

The Inverse First Passage time method for a two dimensional Ornstein Uhlenbeck process with neuronal application

A Civallero, C Zucca - arXiv preprint arXiv:1903.04927, 2019 - arxiv.org
The Inverse First Passage time problem seeks to determine the boundary corresponding to
a given stochastic process and a fixed first passage time distribution. Here, we determine the …

[PDF][PDF] Contributions to First Passage Time Problems of Brownian Motion

OF Hallmann - 2023 - macau.uni-kiel.de
Contributions to First Passage Time Problems of Brownian Motion Page 1 Contributions to
First Passage Time Problems of Brownian Motion Dissertation zur Erlangung des …

Discharge properties of neurons recorded in the parvalbumin-positive (PV1) nucleus of the rat lateral hypothalamus

A Lintas - Neuroscience letters, 2014 - Elsevier
This study reports for the first time the extracellular activity recorded, in anesthetized rats,
from cells located in an identified cluster of parvalbumin (PV)-positive neurons of the lateral …

Linear programming and the inverse method of images

P Zipkin - Annals of Operations Research, 2013 - Springer
The inverse method of images is a relatively easy way to find approximate solutions to first-
passage time problems. We extend the method in several ways: We use a linear program …

Role of Inhibition and Spiking Variability in Ortho-and Retronasal Olfactory Processing

MF Craft - 2022 - scholarscompass.vcu.edu
Odor perception is the impetus for important animal behaviors, most pertinently for feeding,
but also for mating and communication. There are two predominate modes of odor …