Interspike interval distribution for a continuous-time random walk model of neurons in the diffusion limit

2018 ◽  
Author(s):  
S. Paekivi ◽  
R. Mankin ◽  
A. Rekker
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Interspike Interval ◽  
Continuous Time Random Walk ◽  
Random Walk Model ◽  
Diffusion Limit ◽  
Interspike Interval Distribution ◽  
Interval Distribution

Quartile histogram assessment of glioma malignancy using high b ‐value diffusion MRI with a continuous‐time random‐walk model

2021 ◽  
Vol 34 (4) ◽  
Author(s):  
M. Muge Karaman ◽  
Jiaxuan Zhang ◽  
Karen L. Xie ◽  
Wenzhen Zhu ◽  
Xiaohong Joe Zhou
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Diffusion Mri ◽  
B Value ◽  
Continuous Time Random Walk ◽  
Random Walk Model ◽  
High B Value

CONTINUOUS TIME RANDOM WALK AND TIME FRACTIONAL DIFFUSION: A NUMERICAL COMPARISON BETWEEN THE FUNDAMENTAL SOLUTIONS

2005 ◽  
Vol 05 (02) ◽  
pp. L291-L297 ◽  
Author(s):  
FRANCESCO MAINARDI ◽  
ALESSANDRO VIVOLI ◽  
RUDOLF GORENFLO
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Fundamental Solutions ◽  
Fractional Diffusion ◽  
Continuous Time Random Walk ◽  
Diffusion Limit ◽  
Numerical Comparison ◽  
Time Fractional Diffusion Equation ◽  
Quality Of Approximation

We consider the basic models for anomalous transport provided by the integral equation for continuous time random walk (CTRW) and by the time fractional diffusion equation to which the previous equation is known to reduce in the diffusion limit. We compare the corresponding fundamental solutions of these equations, in order to investigate numerically the increasing quality of approximation with advancing time.

Continuous-time random-walk model for superionic conductors

1989 ◽  
Vol 39 (11) ◽  
pp. 6010-6015 ◽  
Author(s):  
Carlos B. Briozzo ◽  
Carlos E. Budde ◽  
Manuel O. Cáceres
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Continuous Time Random Walk ◽  
Random Walk Model ◽  
Superionic Conductors
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