TY - GEN
T1 - Optimal control treatment analysis for the predator-prey chemotherapy model
AU - Abdulrashid, Ismail
AU - Ghazzai, Hakim
AU - Han, Xiaoying
AU - Massoud, Yehia
N1 - Generated from Scopus record by KAUST IRTS on 2022-09-13
PY - 2019/12/1
Y1 - 2019/12/1
N2 - In this paper, we investigate a nonautonomous model of chemotherapy cancer treatment with time-dependent infusion concentration of the chemotherapy agent. A predator-prey type model is adopted to describe the interactions between the chemotherapy agent and cells, in which the chemotherapy agent is modeled as the prey being consumed by both cancer and normal cells, thereby affecting the population of both. We derive an optimal control for this model and provide necessary conditions for continuous application of chemotherapy treatment. Finally, we provide selected numerical results and find out that with the same amount of chemotherapy drug infused at the beginning of the treatment, normal cell population continually increase over time, while the tumor cell population is quickly driven to zero. An interesting aspect of this work indicates that for large volume of tumor, our numerical result shows that continuous treatment needs to be carried out in order to combat the tumor.
AB - In this paper, we investigate a nonautonomous model of chemotherapy cancer treatment with time-dependent infusion concentration of the chemotherapy agent. A predator-prey type model is adopted to describe the interactions between the chemotherapy agent and cells, in which the chemotherapy agent is modeled as the prey being consumed by both cancer and normal cells, thereby affecting the population of both. We derive an optimal control for this model and provide necessary conditions for continuous application of chemotherapy treatment. Finally, we provide selected numerical results and find out that with the same amount of chemotherapy drug infused at the beginning of the treatment, normal cell population continually increase over time, while the tumor cell population is quickly driven to zero. An interesting aspect of this work indicates that for large volume of tumor, our numerical result shows that continuous treatment needs to be carried out in order to combat the tumor.
UR - https://ieeexplore.ieee.org/document/9021837/
UR - http://www.scopus.com/inward/record.url?scp=85082100277&partnerID=8YFLogxK
U2 - 10.1109/ICM48031.2019.9021837
DO - 10.1109/ICM48031.2019.9021837
M3 - Conference contribution
SN - 9781728140582
SP - 296
EP - 299
BT - Proceedings of the International Conference on Microelectronics, ICM
PB - Institute of Electrical and Electronics Engineers Inc.
ER -
