Continuous-time random walk diffusion MRI facilitates assessment of Ki-67 expression in endometrial cancer: a comparative study with diffusion kurtosis imaging [PDF]
BMC CancerObjectives This study aimed to evaluate the performance of continuous-time random walk (CTRW), diffusion kurtosis imaging (DKI), and diffusion-weighted imaging (DWI) in predicting the proliferative state of endometrial cancer (EC). Methods A cohort of 81
Wangyi Liu +8 more
doaj +2 more sources
From quenched disorder to continuous time random walk [PDF]
Physical Review E, 2017 This work focuses on quantitative representation of transport in systems with quenched disorder. Explicit mapping of the quenched trap model to continuous time random walk is presented. Linear temporal transformation: $t\to t/Λ^{1/α}$ for transient process on translationally invariant lattice, in the sub-diffusive regime, is sufficient for asymptotic ...
Stanislav Burov
exaly +4 more sources
Histogram analysis of continuous-time random walk and restrictive spectrum imaging for identifying hepatocellular carcinoma and intrahepatic cholangiocarcinoma [PDF]
Frontiers in OncologyBackgroundTo compare the ability and potential additional value of various diffusion models, including continuous-time random walk (CTRW), restrictive spectrum imaging (RSI), and diffusion-weighted imaging (DWI), as well as their associated histograms ...
Bo Dai +12 more
doaj +2 more sources
Continuous-time random walks and Lévy walks with stochastic resetting
Physical Review Research, 2020 Intermittent stochastic processes appear in a wide field, such as chemistry, biology, ecology, and computer science. This paper builds up the theory of intermittent continuous-time random walk (CTRW) and Lévy walk, in which the particles are ...
Tian Zhou, Pengbo Xu, Weihua Deng
doaj +3 more sources
On multiple-particle continuous-time random walks [PDF]
Journal of Applied Mathematics, 2004 Scaling limits of continuous-time random walks are used in physics to model anomalous diffusion in which particles spread at a different rate than the classical Brownian motion.
Peter Becker-Kern +1 more
doaj +4 more sources
Random walk with barycentric self-interaction [PDF]
, 2010 We study the asymptotic behaviour of a $d$-dimensional self-interacting random walk $X_n$ ($n = 1,2,...$) which is repelled or attracted by the centre of mass $G_n = n^{-1} \sum_{i=1}^n X_i$ of its previous trajectory. The walk's trajectory $(X_1,...,X_n)
Volkov, S. +13 more
core +4 more sources
Characterization of prostatic cancer lesion and gleason grade using a continuous-time random-walk diffusion model at high b-values. [PDF]
Front OncolSheng Y +9 more
europepmc +2 more sources
Large deviations in continuous-time random walks [PDF]
Physical Review E, 2021 We discuss large deviation properties of continuous-time random walks (CTRW) and present a general expression for the large deviation rate in CTRW in terms of the corresponding rates for the distributions of steps' lengths and waiting times. In the case of Gaussian distribution of steps' lengths the general expression reduces to a sequence of two ...
Adrian Pacheco-Pozo, Igor M. Sokolov
openaire +3 more sources
Evanescent continuous-time random walks [PDF]
Physical Review E, 2013 We study how an evanescence process affects the number of distinct sites visited by a continuous time random walker in one dimension. We distinguish two very different cases, namely, when evanescence can only occur concurrently with a jump, and when evanescence can occur at any time.
Abad, E. +2 more
openaire +3 more sources
Heterogeneous continuous-time random walks [PDF]
Physical Review E, 2018 11 pages, 5 ...
Grebenkov, Denis S., Tupikina, Liubov
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