Kinetic study of the heterogeneous photocatalysis of porous nanocrystalline TiO2 assemblies using a continuous random walk simulation

2014 ◽  
Vol 16 (40) ◽  
pp. 22343-22351 ◽  
Author(s):  
Baoshun Liu ◽  
Xiujian Zhao
Keyword(s):  
Monte Carlo ◽  
Random Walk ◽  
Kinetic Study ◽  
Continuous Time ◽  
Heterogeneous Photocatalysis ◽  
Continuous Time Random Walk ◽  
Nanocrystalline Tio2 ◽  
Continuous Random Walk ◽  
Random Walk Simulation ◽  
Kinetics Of

The Monte Carlo continuous time random walk method was used to study the photocatalytic kinetics of nanocrystalline TiO2 materials in this research.

Continuous Time Random Walk and Migration–Proliferation Dichotomy of Brain Cancer

2015 ◽  
Vol 10 (01) ◽  
pp. 37-57 ◽  
Author(s):  
A. Iomin
Keyword(s):  
Random Walk ◽  
Brain Cancer ◽  
Continuous Time ◽  
Continuous Time Random Walk ◽  
Suggested Model ◽  
Cell Dynamics ◽  
Fractional Kinetics ◽  
And Migration ◽  
Kinetics Of

A theory of fractional kinetics of glial cancer cells is presented. A role of the migration-proliferation dichotomy in the fractional cancer cell dynamics in the outer-invasive zone is discussed and explained in the framework of a continuous time random walk. The main suggested model is based on a construction of a 3D comb model, where the migration-proliferation dichotomy becomes naturally apparent and the outer-invasive zone of glioma cancer is considered as a fractal composite with a fractal dimension Dfr< 3.

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

Multiscale Modeling of Carbonate Acidizing Using Continuous Time Random Walk Approach

2017 ◽  
Author(s):  
Kang Kang ◽  
Elsayed Abdelfatah ◽  
Maysam Pournik ◽  
Bor Jier Shiau ◽  
Jeffrey Harwell
Keyword(s):  
Random Walk ◽  
Multiscale Modeling ◽  
Continuous Time ◽  
Continuous Time Random Walk ◽  
Carbonate Acidizing
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