scholarly journals Evaluating the Effect of Tissue Anisotropy on Brain Tumor Growth Using a Mechanically Coupled Reaction–Diffusion Model

2019 ◽  
pp. 37-48 ◽  
Author(s):  
Daniel Abler ◽  
Russell C. Rockne ◽  
Philippe Büchler
Keyword(s):  
Brain Tumor ◽  
Tumor Growth ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Tissue Anisotropy ◽  
Coupled Reaction

Optimal Chemotherapy for Brain Tumor Growth in a Reaction-Diffusion Model

2021 ◽  
Vol 81 (3) ◽  
pp. 1077-1097
Author(s):  
Mohsen Yousefnezhad ◽  
Chiu-Yen Kao ◽  
Seyyed Abbas Mohammadi
Keyword(s):  
Brain Tumor ◽  
Tumor Growth ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model

scholarly journals A mechanically coupled reaction–diffusion model for predicting the response of breast tumors to neoadjuvant chemotherapy

2013 ◽  
Vol 58 (17) ◽  
pp. 5851-5866 ◽  
Author(s):  
Jared A Weis ◽  
Michael I Miga ◽  
Lori R Arlinghaus ◽  
Xia Li ◽  
A Bapsi Chakravarthy ◽  
...  
Keyword(s):  
Neoadjuvant Chemotherapy ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Breast Tumors ◽  
Reaction Diffusion Model ◽  
Coupled Reaction

scholarly journals A DCE-MRI Driven 3-D Reaction-Diffusion Model of Solid Tumor Growth

2018 ◽  
Vol 37 (3) ◽  
pp. 724-732 ◽  
Author(s):  
Thais Roque ◽  
Laurent Risser ◽  
Veerle Kersemans ◽  
Sean Smart ◽  
Danny Allen ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Diffusion Model ◽  
Solid Tumor ◽  
Reaction Diffusion ◽  
Solid Tumor Growth ◽  
Dce Mri ◽  
Reaction Diffusion Model

scholarly journals Numerical solution of a coupled reaction-diffusion model using barycentric interpolation collocation method

2020 ◽  
Vol 24 (4) ◽  
pp. 2561-2567
Author(s):  
Yu Zhang ◽  
Wei Zhang ◽  
Chenhui Zhao ◽  
Yulan Wang
Keyword(s):  
Approximate Solution ◽  
Numerical Solution ◽  
Collocation Method ◽  
Diffusion Model ◽  
Numerical Experiments ◽  
Reaction Diffusion ◽  
Barycentric Interpolation ◽  
Reaction Diffusion Model ◽  
Linear Reaction ◽  
Coupled Reaction

In thermal science, chemical and mechanics, the non-linear reaction-diffusion model is very important, and an approximate solution with high precision is always needed. In this article, the barycentric interpolation collocation method is proposed for this purpose. Numerical experiments show that the proposed approach is highly reliable.

A mechanically coupled reaction diffusion model of breast tumor response during neoadjuvant chemotherapy

2013 ◽  
Author(s):  
Jared A. Weis ◽  
Michael I. Miga ◽  
Xia Li ◽  
Lori R. Arlinghaus ◽  
A. Bapsi Chakravarthy ◽  
...  
Keyword(s):  
Neoadjuvant Chemotherapy ◽  
Diffusion Model ◽  
Breast Tumor ◽  
Tumor Response ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Coupled Reaction
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