的幂律形式作为建模工具的内分泌系统

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建模一个激素系统需要大量的简化假设。通常,聚合过程的最终概念模型整合了一系列不符合一个酶催化反应。在这种情况下,它是可讨论的使用模型基于经典生化动力学速率定律只在特定条件下是有效的。幂律形式主义提供了另一种框架,在这种情况下建立一个数学模型。由此产生的模型是一组常微分方程的特殊结构,允许有效的符号和数值分析系统的属性。在这些方程,底层速率定律每个组件的过程是由一个幂律的精确表示实际速率定律在操作点。这些方程的特殊形式允许的范围广泛的动力学特性,在不改变基本的幂律形式。此外,它的参数有直接的解释明显kinetic-orders和速率常数。这特别有助于将定量和定性信息的过程中模型定义。这是特别有用,当详细的动力学信息关于系统的组件不可用。 In this paper we show the utility of the power-law approach in this context by deriving an illustrative model of a complex physiological system: the hypothalamus-anterior pituitary-thyroid network. First, we derive a conceptual model that incorporates the key features of this system. Then, we derive an S-system model, one of the preferred variants within the power-law formalism, and we show its utility in exploring the system properties. The model qualitatively reproduces the response of normal, hyperthyroid, and hypothyroid patients to a clinical test involving a thyrotropin releasing hormone injection. Finally, we illustrate the utility of this modeling strategy for studying the system's response to different dynamic patterns of regulatory signals, and for exploring how altered dynamic patterns of stimulatory signals can cause pathological states.

计算和数学方法在医学

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