PMPC Modified PAMAM Dendrimer Enhances Brain Tumor‐Targeted Drug Delivery

2021 ◽  
pp. 2000392
Author(s):  
Jiamin Ban ◽  
Sidi Li ◽  
Qi Zhan ◽  
Xuepin Li ◽  
Huike Xing ◽  
...  
2017 ◽  
Vol 10 (04) ◽  
pp. 1750056 ◽  
Author(s):  
Aziz Belmiloudi

In this paper, we present a mathematical model that describes tumor-normal cells interaction dynamics focusing on role of drugs in treatment of brain tumors. The goal is to predict distribution and necessary quantity of drugs delivered in drug-therapy by using optimal control framework. The model describes interactions of tumor and normal cells using a system of reactions–diffusion equations involving the drug concentration, tumor cells and normal tissues. The control estimates simultaneously blood perfusion rate, reabsorption rate of drug and drug dosage administered, which affect the effects of brain tumor chemotherapy. First, we develop mathematical framework which models the competition between tumor and normal cells under chemotherapy constraints. Then, existence, uniqueness and regularity of solution of state equations are proved as well as stability results. Afterwards, optimal control problems are formulated in order to minimize the drug delivery and tumor cell burden in different situations. We show existence and uniqueness of optimal solution, and we derive necessary conditions for optimality. Finally, to solve numerically optimal control and optimization problems, we propose and investigate an adjoint multiple-relaxation-time lattice Boltzmann method for a general nonlinear coupled anisotropic convection–diffusion system (which includes the developed model for brain tumor targeted drug delivery system).


ACS Omega ◽  
2018 ◽  
Vol 3 (4) ◽  
pp. 3717-3736 ◽  
Author(s):  
Tao Wang ◽  
Yaozhong Zhang ◽  
Longfei Wei ◽  
Yuhan G. Teng ◽  
Tadashi Honda ◽  
...  

2017 ◽  
Vol 9 (31) ◽  
pp. 25672-25682 ◽  
Author(s):  
Danni Ran ◽  
Jiani Mao ◽  
Changyou Zhan ◽  
Cao Xie ◽  
Huitong Ruan ◽  
...  

2016 ◽  
Vol 44 (1) ◽  
pp. 41-51 ◽  
Author(s):  
Amir Barzegar Behrooz ◽  
Fatemeh Nabavizadeh ◽  
Jamal Adiban ◽  
Mehdi Shafiee Ardestani ◽  
Rouhollah Vahabpour ◽  
...  

2014 ◽  
Vol 4 (3) ◽  
pp. 193-201 ◽  
Author(s):  
Xiaoli Wei ◽  
Xishan Chen ◽  
Man Ying ◽  
Weiyue Lu

2011 ◽  
Vol 25 (S1) ◽  
Author(s):  
Hyung Joon Cho ◽  
Somin Lee ◽  
Shuping Dong ◽  
Maren Roman ◽  
Yong Woo Lee

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