Results 11 to 20 of about 347,242 (278)

Directed Continuous-Time Random Walk with memory [PDF]

The European Physical Journal B, 2018
We propose a new Directed Continuous-Time Random Walk (CTRW) model with memory. As CTRW trajectory consists of spatial jumps preceded by waiting times, in Directed CTRW, we consider the case with only positive spatial jumps.
Gubiec, Tomasz, Klamut, Jarosław
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Assessment of pathological grade and variants of bladder cancer with a continuous-time random-walk diffusion model [PDF]

Frontiers in Oncology
PurposeTo evaluate the efficacy of high b-value diffusion-weighted imaging (DWI) with a continuous-time random-walk (CTRW) diffusion model in determining the pathological grade and variant histology (VH) of bladder cancer (BCa).MethodsA total of 81 ...
Wei Wang, Jingyun Wu, Qi Shen, Wei Li, Ke Xue, Yuxin Yang, Jianxing Qiu   +6 more
doaj   +2 more sources

Continuous-time random walk diffusion MRI facilitates assessment of Ki-67 expression in endometrial cancer: a comparative study with diffusion kurtosis imaging [PDF]

BMC Cancer
Objectives 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, Jipeng Ren, Zhong Li, Wenling Liu, Shuaina Wang, Yiwen Ba, Baiyan Jiang, Dongming Han, Ruifang Yan   +8 more
doaj   +2 more sources

A continuous time random walk model for financial distributions [PDF]

Physical Review E, 2002
We apply the formalism of the continuous time random walk to the study of financial data. The entire distribution of prices can be obtained once two auxiliary densities are known.
A.H. Gandjbakhche, A.M. Berezhkovskii, B. Berkowitz, B. Mandelbrot, C.J.G. Evertsz, E. Gudowska-Nowak, E.W. Montroll, F. Mainardi, G.H. Weiss, G.H. Weiss, George H. Weiss, H. Scher, J. Masoliver, Jaume Masoliver, M. Boguna, M.F.M. Osborne, M.G. Kendall, Miquel Montero, P. Gopikrishnan, R. Balescu, R. Kutner, R. Kutner, R.N. Mantegna, V. Plerou   +23 more
core   +6 more sources

Integro-differential diffusion equation for continuous time random walk [PDF]

Physical Review E, 2010
In this paper we present an integro-differential diffusion equation for continuous time random walk that is valid for a generic waiting time probability density function.
A. Carpinteri, A. Erdelyi, H. Risken, K. G. Wang, Kwok Sau Fa, R. Kubo   +5 more
core   +3 more sources

Histogram analysis of continuous-time random walk and restrictive spectrum imaging for identifying hepatocellular carcinoma and intrahepatic cholangiocarcinoma [PDF]

Frontiers in Oncology
BackgroundTo 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, Yihang Zhou, Lei Shen, Hanhan Li, Ting Fang, Jiayin Pan, Yan Wang, Wei Mao, Xiaopeng Song, Fengshan Yan, Meiyun Wang, Meiyun Wang, Meiyun Wang   +12 more
doaj   +2 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, Hans-Peter Scheffler   +1 more
doaj   +4 more sources

State‐switching continuous‐time correlated random walks [PDF]

Methods in Ecology and Evolution, 2019
Abstract Continuous‐time models have been developed to capture features of animal movement across temporal scales. In particular, one popular model is the continuous‐time correlated random walk, in which the velocity of an animal is formulated as an Ornstein–Uhlenbeck process, to capture the autocorrelation in the speed and direction of its movement.
Michelot, T., Blackwell, P.G.
openaire   +8 more sources

Continuous time random walk and parametric subordination in fractional diffusion

Chaos, Solitons and Fractals, 2007
The well-scaled transition to the diffusion limit in the framework of the theory of continuous-time random walk (CTRW)is presented starting from its representation as an infinite series that points out the subordinated character of the CTRW itself.
Alessandro Vivoli, Baeumer, Balescu, Barkai, Barkai, Barkai, Bochner, Bochner, Cox, Feller, Francesco Mainardi, Gel`fand, Gorenflo, Gorenflo, Gorenflo, Gorenflo, Grigolini, Hilfer, Hilfer, Hilfer, Janicki, Janicki, Kilbas, Kotulski, Mainardi, Mainardi, Mainardi, Mainardi, Mannella, Meerschaert, Meerschaert, Metzler, Metzler, Metzler, Montroll, Montroll, Montroll, Montroll, Piryatinska, Podlubny, Rudolf Gorenflo, Saichev, Samko, Sato, Scalas, Scalas, Scalas, Shlesinger, Sokolov, Sokolov, Sokolov, Sokolov, Sokolov, Sokolov, Stanislavski, Stanislavsky, Uchaikin, Uchaikin, Weiss, West, Wyss, Zaslavsky, Zaslavsky   +62 more
core   +6 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: $t\to t/ ^{1/ }$ for transient process on translationally invariant lattice, in the sub-diffusive regime, is sufficient for asymptotic
Stanislav Burov
openaire   +5 more sources