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Mathematical Modeling with Two-Step Mixed Chemotherapy on Tumor Growth and Its Treatment in Three Different Stages under Depression Effect

J. Singh1

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.3 , pp.33-40, Jun-2021


Online published on Jun 30, 2021


Copyright © J. Singh . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: J. Singh, “Mathematical Modeling with Two-Step Mixed Chemotherapy on Tumor Growth and Its Treatment in Three Different Stages under Depression Effect,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.8, Issue.3, pp.33-40, 2021.

MLA Style Citation: J. Singh "Mathematical Modeling with Two-Step Mixed Chemotherapy on Tumor Growth and Its Treatment in Three Different Stages under Depression Effect." International Journal of Scientific Research in Mathematical and Statistical Sciences 8.3 (2021): 33-40.

APA Style Citation: J. Singh, (2021). Mathematical Modeling with Two-Step Mixed Chemotherapy on Tumor Growth and Its Treatment in Three Different Stages under Depression Effect. International Journal of Scientific Research in Mathematical and Statistical Sciences, 8(3), 33-40.

BibTex Style Citation:
@article{Singh_2021,
author = {J. Singh},
title = {Mathematical Modeling with Two-Step Mixed Chemotherapy on Tumor Growth and Its Treatment in Three Different Stages under Depression Effect},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2021},
volume = {8},
Issue = {3},
month = {6},
year = {2021},
issn = {2347-2693},
pages = {33-40},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2411},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2411
TI - Mathematical Modeling with Two-Step Mixed Chemotherapy on Tumor Growth and Its Treatment in Three Different Stages under Depression Effect
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - J. Singh
PY - 2021
DA - 2021/06/30
PB - IJCSE, Indore, INDIA
SP - 33-40
IS - 3
VL - 8
SN - 2347-2693
ER -

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Abstract :
Doctors and experts have developed different many methods, medicines, surgery, therapies, etc, and used all effective parameters for the treatment of tumor growth. No one has paid attention to the depression parameter to date and has not included its effect in its mathematical model. We have presented all the effective parameters by a mathematical model incorporating the depression parameter in our mathematical model. The effect of depression increases the number of tumor cells and reduces immune capacity. Considering depression as an important role in tumor growth, its effects have been presented in three different stages. Each stage includes its effects and treatment. Different mathematical models are conferred for each stage and resolved by governing equations. This type of difficult, complex, serious, dangerous and challenging problem has been given a unique and effective solution using all effective parameters. We are confident that this model will act as an aid in solving problems in the treatment of cancer patients and guide them for future research

Key-Words / Index Term :
Tumor growth, Dynamic Systems, Governing Equations

References :
[1]. S. N. Azzawi, and F. A. Shihab, “Solution of modified Kuznetsov model with mixed therapy”, Global journal of pure and applied mathematics, Vol.13, pp. 6269-6288, 2017.
[2]. Z. Liu, and C. Yang, “A mathematical model of cancer treatment by radiotherapy”, Computational and Mathematical Methods in Medicine, pp. 1-12, 2014.
[3]. V. Viossat, and R. Noble, “The logic of containing tumours”, Bio Rxiv, pp. 1-11, 2020.
[4]. S. Hoxha, “Path- wise uniqueness, convergence of approximated solutions for a stochastic model of tumor growth with colored noise”, International journal of mathematical analysis, Vol.14, pp. 61-76, 2020.
[5]. D. S. Rodrigues, P. F. A. Mancera, T. Carvalho, and L. F. Goncalves, “A mathematical model for chemoimmonotherapy of chronic lymphocytic leukemia”, Quantitative biology > tissues and organs, Vol.2, pp. 1-19, 2018.
[6]. Szabo, and M. H. Roeland, “Cellular potts modeling of tumor growth, tumor invasion, and tumor evolution”, Frontiers in oncology, Vol. 87, pp.1-12, 2013.
[7]. J. Singh, “Mathematical modeling with mixed chemotherapy on tumor cells in two different stages under depression effect”, International journal of statistics and applied mathematics, Vol.6, pp.242-248, 2021.
[8]. G. Tanaka, Y. Hirata, S. L. Goldenberg, N. Bruchovsky, and K. Aihara, “Mathematical modeling of prostate cancer growth and its application to hormone therapy”, Philosophical transactions of the royal society a, Vol.368, pp.5029-5044, 2010.
[9]. Y. Kim, D. Lee, J. Lee, S. Lee, and S. Lawler, “Role of tumor – associated Neutrophils in regulation of tumor growth in lung cancer development: A mathematical model”, Plos one, pp. 1-40, 2019.
[10]. L. Pang, L. Shen, and Z. Zhao, “Mathematical
modelingand analysis of the tumor treatment regimens with pulsed immunotherapy and chemotherapy”, Computational and Mathematical Methods in Medicine, pp. 1-12, 2016.
[11]. H. Namazi, V. V. Kulish, and A. Wong, “Mathematical modeling and prediction of the effect of chemotherapy on cancer cells”, scientific reports, pp. 1-8, 2015.

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