Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma

Mohiniso Baxromovna Hidirova,Adhamjon Akramovich Hasanov

doi: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.

Highlights

IntroductionThe thyroid gland is one of the main endocrine glands, synthesizing a number of hormones (thyroxin, triiodothyronine), necessary for maintaining the homeostasis of the body
The thyroid gland is one of the main endocrine glands, synthesizing a number of hormones, necessary for maintaining the homeostasis of the body
One of the most important tasks in medicine is the study of the regularities of the regulatory mechanisms of the thyroid gland follicles using mathematical and computer simulation methods

Summary

Introduction

The thyroid gland is one of the main endocrine glands, synthesizing a number of hormones (thyroxin, triiodothyronine), necessary for maintaining the homeostasis of the body. The incidence of thyroid disease is 8% of the adult population of the globe and it increases annually. According to the World Health Organization (WHO), among endocrine disorders, diseases of the thyroid gland rank second after diabetes. More than 665 million people in the world have endemic goiter or suffer from other thyroid pathologies; 1.5 billion people are at risk of developing iodine deficiency diseases. According to statistics, the increase in the number of thyroid diseases in the world is 5% per year [1]. One of the most important tasks in medicine is the study of the regularities of the regulatory mechanisms of the thyroid gland follicles using mathematical and computer simulation methods

Materials and Methods

Results and Discussions

Conclusions