Different optimization strategies for the optimal control of tumor growth
Published on: 10th December, 2019
OCLC Number/Unique Identifier: 8495685425
In this article different numerical techniques for solving optimal control problems is introduced, the aim of this paper is to achieve the best accuracy for the Optimal Control Problem (OCP) which has the objective of minimizing the size of tumor cells by the end of the treatment. An important aspect is considered, which is, the optimal concentrations of drugs that not affect the patient’s health significantly. To study the behavior of tumor growth, a mathematical model is used to simulate the dynamic behavior of tumors since it is difficult to prototype dynamic behavior of the tumor. A tumor-immune model with four components, namely, tumor cells, active cytotoxic T-cells (CTLs), helper T-cells, and a chemotherapeutic drug is used. Two general categories of optimal control methods which are indirect methods and direct ones based on nonlinear programming solvers and interior point algorithms are compared. Within the direct optimal control techniques, we review three different solutions techniques namely (i) multiple shooting methods, (ii) trapezoidal direct collocation method, (iii) Hermit- Simpson’s collocation method and within the indirect methods we review the Pontryagin’s Maximum principle with both collocation method and the backward forward sweep method. Results show that the direct methods achieved better control than indirect methods.
Search by University/Institution
Enter your University/Institution to find colleagues at HSPI.
Ensuring author's satisfaction with
- Friendly and hassle-free publication process
- Less production time of articles
- Constructive peer-review
- Enhancing journal reputation
- Regular feedback system
- Quick response to authors' queries
Most Viewed Keywords
- Hafnium
- Professional multidisciplinary team members
- High-grade endometrial stromal sarcoma
- Asthma
- Nursing theories
- Khat
- Potentilla fulgens
- Fungicide
- Preterm birth
- Vitamin D deficiency
- Monkeypox
- Portal vein thrombosis
- Cardiovascular system
- Anxiety
- Cognitive distraction
- Markov chains
- MTHFR
- Coronary artery
- Breastfeeding
- Aneurysm
Search Articles by Country
Get all latest articles in all Heighten Science Publications Inc journals by country.
Testmonials
I want to thank you for our collaboration. You were fast and effective with a positive spirit of teamwork. I am truly excited from our collaboration. You were like always fast, efficient and accurate...
Aikaterini Solomou
I very much appreciate the humanitarian services provided in my stead by this journal/publisher. It exhibits total absence of editorial impertinence. As an Author, I have been guided to have a fruitf...
Chrysanthus Chukwuma
In my opinion, you provide a very fast and practical service.
Ahmet Eroglu
I wanna to thank clinical journal of nursing care and practice for its effort to review and publish my manuscript. This is reputable journal. Thank you!
Wollo University, Ethiopia
Atsedemariam Andualem
Your service is excellent. Processing and editing were very fast. I hope to publish more of my works in your journal.
Ausraful Islam
Thanks you and your colleague for the great help for our publication. You always provide prompt responses and high quality of service. I am so happy to have you working with me. Thanks again!
Diana (Ding) Dai
To the editorial team at HSPI and the Journal of Clinical Nephrology: Thank you so much for your hard work and collaboration in bringing our article to life. Your staff was responsive, flexible, and ...
Alejandro Munoz
Your service is very good and fast reply, Also your service understand our situation and support us to publication our articles.
Palestine College of Nursing, Khan Younis, Gaza St...
Ayman M Abu Mustafa
We appreciate the fact that you decided to give us full waiver for the applicable charges and approve the final version. You did an excellent job preparing the PDF version. Of course we will consider ...
Anna Dionysopoulou
In 2017, I submitted a manuscript to the journal Archives of Biotechnology and Biomedicine belonging to Heighten Science Publications Corporation. Within one week I already received the response from ...
University of Tubingen, Germany
Yvonne Mast
