Probabilistic Firing of Neurons Considered as a First Passage Problem

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Spiking Neurons and the First Passage Problem

We derive a model of a neuron's interspike interval probability density through analysis of the first passage problem. The fit of our expression to retinal ganglion cell laboratory data extracts three physiologically relevant parameters, with which our model yields input-output features that conform to laboratory results. Preliminary analysis suggests that under common circumstances, local circ...

متن کامل

Analysis of an Inverse First Passage Problem from Risk Management

We study the following “inverse first passage time” problem. Given a diffusion process Xt and a probability distribution q on [0,∞), does there exist a boundary b(t) such that q(t) = P[τ ≤ t], where τ is the first hitting time of Xt to the time dependent level b(t). A free boundary problem for a parabolic partial differential operator is associated with the inverse first passage time problem. W...

متن کامل

The Inverse First-passage Problem and Optimal Stopping

Given a survival distribution on the positive half-axis and a Brownian motion, a solution of the inverse first-passage problem consists of a boundary so that the first passage time over the boundary has the given distribution. We show that the solution of the inverse firstpassage problem coincides with the solution of a related optimal stopping problem. Consequently, methods from optimal stoppi...

متن کامل

On the First-passage Time Problem: Cumulant Approach

The First-Passage Time (FPT) problems have numerous practical applications in fields that go from engineering and physics to finance and biology among many others. For the case of Markov gamma processes, this paper develops a methodology that combines the first Pontryagin equation approach and the cumulant analysis in order to obtain FPT statistics. For investigation about the structure of the ...

متن کامل

First Passage Time Problem for Biased Continuous-time Random Walks

We study the first passage time (FPT) problem for biased continuous time random walks. Using the recently formulated framework of fractional Fokker-Planck equations, we obtain the Laplace transform of the FPT density function when the bias is constant. When the bias depends linearly on the position, the full FPT density function is derived in terms of Hermite polynomials and generalized Mittag-...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Biophysical Journal

سال: 1966

ISSN: 0006-3495

DOI: 10.1016/s0006-3495(66)86668-7