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

2016 ◽  
pp. 55-75
Author(s):  
A. Iomin
Keyword(s):  
Random Walk ◽  
Brain Cancer ◽  
Continuous Time ◽  
Continuous Time Random Walk ◽  
And Migration

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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