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

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 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.

scholarly journals Predicting the Response of Breast Cancer to Neoadjuvant Therapy Using a Mechanically Coupled Reaction–Diffusion Model

2015 ◽  
Vol 75 (22) ◽  
pp. 4697-4707 ◽  
Author(s):  
Jared A. Weis ◽  
Michael I. Miga ◽  
Lori R. Arlinghaus ◽  
Xia Li ◽  
Vandana Abramson ◽  
...  
Keyword(s):  
Breast Cancer ◽  
Neoadjuvant Therapy ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Coupled Reaction

scholarly journals Mechanically Coupled Reaction-Diffusion Model to Predict Glioma Growth: Methodological Details

2018 ◽  
pp. 225-241 ◽  
Author(s):  
David A. Hormuth ◽  
Stephanie L. Eldridge ◽  
Jared A. Weis ◽  
Michael I. Miga ◽  
Thomas E. Yankeelov
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Glioma Growth ◽  
Coupled Reaction

scholarly journals Enhancement of combustion by drift in a coupled reaction-diffusion model

2006 ◽  
Vol 4 (1) ◽  
pp. 213-225
Author(s):  
David Andrzejewski ◽  
Erick Butzlaff ◽  
Alexander Kiselev ◽  
Lam Raga A. Markely
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Coupled Reaction
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