滤泡性甲状腺癌调控因子的数学建模

M. Hidirova, Adhamjon Akramovich Hasanov
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引用次数: 0

摘要

本文致力于分析使用甲状腺活动的数学建模方法进行的研究工作。本文简要回顾了甲状腺动力学数学建模的各种方法。大多数作者都指出了甲状腺动力学的数学模型。在数学模型的基础上,采用龙格-库塔法建立了甲状腺细胞调节因子的数学模型和计算机模型。基于计算机模型的实验,分析了甲状腺细胞调节机制的动力学特征。对甲状腺滤泡细胞调节机制的数学模型方程进行定性和定量研究,发现甲状腺滤泡细胞数量存在稳态模式、持续稳定的自振荡行为、不规则功能(混沌)和突发性破坏性变化(“黑洞”)的影响。不规则振动和“黑洞”可以通过不受控制的繁殖和甲状腺滤泡细胞的急剧破坏性变化来识别。参数肖像,它清楚地突出了模型方程的齐次解的区域细胞调节机制社区的甲状腺卵泡,被提出。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical Modeling of the Regulatorika of Follicular Thyroid Carcinoma
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.
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