Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma

Mohiniso Baxromovna Hidirova; Adhamjon Akramovich Hasanov

doi:doi:10.11648/j.se.20190703.13

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Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma

Mohiniso Baxromovna Hidirova, Adhamjon Akramovich Hasanov

Published in Software Engineering (Volume 7, Issue 3)

Received: 8 July 2019 Accepted: 19 August 2019 Published: 3 September 2019

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Abstract

This article is devoted to the analysis of research work conducted using methods of mathematical modeling of the activity of the thyroid gland. The article gives a brief review of various methods of mathematical modeling of the dynamics of the thyroid gland. Most authors have indicated a mathematical modeling of the dynamics of the thyroid gland. Mathematical modeling of regulator of regulation of thyroid gland cells and computer model using Runge-Kutta method on the basis of mathematical model. Based on experimental experiments using a computer model, characteristic regimes of the dynamics of the regulatory mechanisms of the thyroid gland cells were analyzed. Qualitative and quantitative study of equations of mathematical models of cellular regulatory mechanisms community of a follicle of the thyroid gland showed the presence of a steady state modes sustainable, stable self-oscillating behavior, irregular functioning (chaos) and the effect of sudden destructive changes ("black hole") in the number of cells in the follicle of the thyroid gland. Irregular vibrations and a “black hole” can be identified by uncontrolled reproduction and a sharp destructive change in thyroid follicle cells. Parametric portrait, which clearly highlights areas of homogeneous solutions of the model equations cellular regulatory mechanisms community of a follicle of the thyroid gland, was presented.

Published in	Software Engineering (Volume 7, Issue 3)
DOI	10.11648/j.se.20190703.13
Page(s)	63-67
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Regulatorika, Mathematical and Computer Models, Functional-Differential Equations, Time Delay, Functional Unit of Cellular Communities, Follicle, Chaos, Black Hole

References

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[2]	Saratchandran P., Carson E. R., Reeve E. (1976). An improved mathematical model of human thyroid hormone regulation. Journal of Clinical Endocrinology. 5: 473-483.
[3]	Švitra D., Jančys E. (1986). Mathematical theory of the thyroid functioning mechanism. Lietuvos Matematikos Rinkinys. 26 (3): 560-573.
[4]	Kolesov V. V., Roziev R. A., Matusevich E. S., Stavinsky B. C. (2002). Mathematical modeling of radioiodine activity in the thyroid gland. Medical radiology and radiation safety. 3: 51-58.
[5]	Donskaya O. G., Nedorezov L. V. (1993). Mathematical models of iodine balance in the body. Autometry. RAS (Siberian Branch) 22-26.
[6]	Giulia S. (2006). Modeling the Thyroid Geometry. Mathematics Department. Bologna University. Piazza Porta S. Donato 5. I-40127 Bologna. Italy. Avignon.
[7]	Kolpak E. P., Balykina Yu. E., Kotina E. D., Zhukova I. V. (2014). Mathematical model of thyroid gland abnormalities. Young Scientist Monthly Scientific Journal. 2 (61): 19-24.
[8]	Kubarko A. I., Yamashita S. (1998). Thyroid. Fundamental aspects. Minsk Medical Institute. Medical School. University of Nagasaki. Minsk - Nagasaki. 376.
[9]	Saidalieva M. (2004). Modeling the regulatory mechanisms of cellular communities of multicellular organisms. Mathematical modeling. 16 (10): 67-80.
[10]	Bellman R., Cook K. (1967). Differential-difference equations. M.: Mir. 548.
[11]	Saidalieva M., Hasanov A. A. (2012). Modeling the mechanisms of regulating the cells of the follicle of the thyroid gland. Problems of informatics and energy. Tashkent. 1: 35-41.

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APA Style

Mohiniso Baxromovna Hidirova, Adhamjon Akramovich Hasanov. (2019). Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma. Software Engineering, 7(3), 63-67. https://doi.org/10.11648/j.se.20190703.13

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Mohiniso Baxromovna Hidirova; Adhamjon Akramovich Hasanov. Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma. Softw. Eng. 2019, 7(3), 63-67. doi: 10.11648/j.se.20190703.13

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AMA Style

Mohiniso Baxromovna Hidirova, Adhamjon Akramovich Hasanov. Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma. Softw Eng. 2019;7(3):63-67. doi: 10.11648/j.se.20190703.13

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@article{10.11648/j.se.20190703.13,
  author = {Mohiniso Baxromovna Hidirova and Adhamjon Akramovich Hasanov},
  title = {Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma},
  journal = {Software Engineering},
  volume = {7},
  number = {3},
  pages = {63-67},
  doi = {10.11648/j.se.20190703.13},
  url = {https://doi.org/10.11648/j.se.20190703.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.se.20190703.13},
  abstract = {This article is devoted to the analysis of research work conducted using methods of mathematical modeling of the activity of the thyroid gland. The article gives a brief review of various methods of mathematical modeling of the dynamics of the thyroid gland. Most authors have indicated a mathematical modeling of the dynamics of the thyroid gland. Mathematical modeling of regulator of regulation of thyroid gland cells and computer model using Runge-Kutta method on the basis of mathematical model. Based on experimental experiments using a computer model, characteristic regimes of the dynamics of the regulatory mechanisms of the thyroid gland cells were analyzed. Qualitative and quantitative study of equations of mathematical models of cellular regulatory mechanisms community of a follicle of the thyroid gland showed the presence of a steady state modes sustainable, stable self-oscillating behavior, irregular functioning (chaos) and the effect of sudden destructive changes ("black hole") in the number of cells in the follicle of the thyroid gland. Irregular vibrations and a “black hole” can be identified by uncontrolled reproduction and a sharp destructive change in thyroid follicle cells. Parametric portrait, which clearly highlights areas of homogeneous solutions of the model equations cellular regulatory mechanisms community of a follicle of the thyroid gland, was presented.},
 year = {2019}
}

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TY  - JOUR
T1  - Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma
AU  - Mohiniso Baxromovna Hidirova
AU  - Adhamjon Akramovich Hasanov
Y1  - 2019/09/03
PY  - 2019
N1  - https://doi.org/10.11648/j.se.20190703.13
DO  - 10.11648/j.se.20190703.13
T2  - Software Engineering
JF  - Software Engineering
JO  - Software Engineering
SP  - 63
EP  - 67
PB  - Science Publishing Group
SN  - 2376-8037
UR  - https://doi.org/10.11648/j.se.20190703.13
AB  - This article is devoted to the analysis of research work conducted using methods of mathematical modeling of the activity of the thyroid gland. The article gives a brief review of various methods of mathematical modeling of the dynamics of the thyroid gland. Most authors have indicated a mathematical modeling of the dynamics of the thyroid gland. Mathematical modeling of regulator of regulation of thyroid gland cells and computer model using Runge-Kutta method on the basis of mathematical model. Based on experimental experiments using a computer model, characteristic regimes of the dynamics of the regulatory mechanisms of the thyroid gland cells were analyzed. Qualitative and quantitative study of equations of mathematical models of cellular regulatory mechanisms community of a follicle of the thyroid gland showed the presence of a steady state modes sustainable, stable self-oscillating behavior, irregular functioning (chaos) and the effect of sudden destructive changes ("black hole") in the number of cells in the follicle of the thyroid gland. Irregular vibrations and a “black hole” can be identified by uncontrolled reproduction and a sharp destructive change in thyroid follicle cells. Parametric portrait, which clearly highlights areas of homogeneous solutions of the model equations cellular regulatory mechanisms community of a follicle of the thyroid gland, was presented.
VL  - 7
IS  - 3
ER  -

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Author Information

Mohiniso Baxromovna Hidirova

Scientific and Innovation Center of Information and Communication Technologies, Tashkent University of Information Technologies Named After Muhammad Al-Khwarizmi, Tashkent, Uzbekistan
Adhamjon Akramovich Hasanov

Namangan Engineering-Construction Institute, Namangan, Uzbekistan

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Plain Text BibTeX RIS

APA Style

Mohiniso Baxromovna Hidirova, Adhamjon Akramovich Hasanov. (2019). Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma. Software Engineering, 7(3), 63-67. https://doi.org/10.11648/j.se.20190703.13

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ACS Style

Mohiniso Baxromovna Hidirova; Adhamjon Akramovich Hasanov. Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma. Softw. Eng. 2019, 7(3), 63-67. doi: 10.11648/j.se.20190703.13

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AMA Style

Mohiniso Baxromovna Hidirova, Adhamjon Akramovich Hasanov. Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma. Softw Eng. 2019;7(3):63-67. doi: 10.11648/j.se.20190703.13

Copy | Download

@article{10.11648/j.se.20190703.13,
  author = {Mohiniso Baxromovna Hidirova and Adhamjon Akramovich Hasanov},
  title = {Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma},
  journal = {Software Engineering},
  volume = {7},
  number = {3},
  pages = {63-67},
  doi = {10.11648/j.se.20190703.13},
  url = {https://doi.org/10.11648/j.se.20190703.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.se.20190703.13},
  abstract = {This article is devoted to the analysis of research work conducted using methods of mathematical modeling of the activity of the thyroid gland. The article gives a brief review of various methods of mathematical modeling of the dynamics of the thyroid gland. Most authors have indicated a mathematical modeling of the dynamics of the thyroid gland. Mathematical modeling of regulator of regulation of thyroid gland cells and computer model using Runge-Kutta method on the basis of mathematical model. Based on experimental experiments using a computer model, characteristic regimes of the dynamics of the regulatory mechanisms of the thyroid gland cells were analyzed. Qualitative and quantitative study of equations of mathematical models of cellular regulatory mechanisms community of a follicle of the thyroid gland showed the presence of a steady state modes sustainable, stable self-oscillating behavior, irregular functioning (chaos) and the effect of sudden destructive changes ("black hole") in the number of cells in the follicle of the thyroid gland. Irregular vibrations and a “black hole” can be identified by uncontrolled reproduction and a sharp destructive change in thyroid follicle cells. Parametric portrait, which clearly highlights areas of homogeneous solutions of the model equations cellular regulatory mechanisms community of a follicle of the thyroid gland, was presented.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma
AU  - Mohiniso Baxromovna Hidirova
AU  - Adhamjon Akramovich Hasanov
Y1  - 2019/09/03
PY  - 2019
N1  - https://doi.org/10.11648/j.se.20190703.13
DO  - 10.11648/j.se.20190703.13
T2  - Software Engineering
JF  - Software Engineering
JO  - Software Engineering
SP  - 63
EP  - 67
PB  - Science Publishing Group
SN  - 2376-8037
UR  - https://doi.org/10.11648/j.se.20190703.13
AB  - This article is devoted to the analysis of research work conducted using methods of mathematical modeling of the activity of the thyroid gland. The article gives a brief review of various methods of mathematical modeling of the dynamics of the thyroid gland. Most authors have indicated a mathematical modeling of the dynamics of the thyroid gland. Mathematical modeling of regulator of regulation of thyroid gland cells and computer model using Runge-Kutta method on the basis of mathematical model. Based on experimental experiments using a computer model, characteristic regimes of the dynamics of the regulatory mechanisms of the thyroid gland cells were analyzed. Qualitative and quantitative study of equations of mathematical models of cellular regulatory mechanisms community of a follicle of the thyroid gland showed the presence of a steady state modes sustainable, stable self-oscillating behavior, irregular functioning (chaos) and the effect of sudden destructive changes ("black hole") in the number of cells in the follicle of the thyroid gland. Irregular vibrations and a “black hole” can be identified by uncontrolled reproduction and a sharp destructive change in thyroid follicle cells. Parametric portrait, which clearly highlights areas of homogeneous solutions of the model equations cellular regulatory mechanisms community of a follicle of the thyroid gland, was presented.
VL  - 7
IS  - 3
ER  -

Copy | Download