Dynamical Regulation in Physiological Systems

许多生理现象表现出复杂的波动。这种可变性可以是 个体的健康，如心率、睡眠-觉醒周期波动或平滑肌的情况 胃肠道的收缩近年来，结合实验研究， 生理系统与生理动力学的理论模型提供了新的洞察机制负责一些心脏和血液疾病。进行适当的实验需要 为了获得足够详细的数据以便与理论观测结果进行比较，必须非常小心和精确 这反过来又提出了新的理论（建模）方法。 对于以下系统，我们将开发数学模型， 表示，该表示足够简化，以允许将系统作为 整体，但足够复杂，可以包含生理学的所有基本组成部分。 1)循环血细胞的调节是一个复杂的生化系统。我们研究 主要调节蛋白促红细胞生成素（EPO）的影响，在反馈机制中保持红细胞（携带氧气到所有组织和器官）的数量在适当的水平;我们还探讨了这些细胞与主要控制其他类型的循环血细胞（主要是血小板，这是负责预防出血）的调节系统的相互作用。 2)世界卫生组织（世卫组织）将新出现的人畜共患疾病定义为“新近发现或新近演变的，或以前发生过但发病率增加或地理、宿主或病媒范围扩大”的从动物传播给人的疾病。随着参与这些疾病传播的一些物种的栖息地发生变化，人们对了解其传播机制重新产生了兴趣。我们将研究这种蚊媒疾病登革热（DF）的数学模型，试图了解不同DF菌株的多次暴露的动力学。

Many physiological phenomena show complex fluctuations. This variability can be an index of the health of the individual, as in the case of the heart rate, fluctuations in sleep-wake cycle or smooth muscle contractions in the gastro-intestinal track. In recent years, research combining experimental studies of physiological systems with theoretical models of physiological dynamics has provided new insight into the mechanisms responsible for some cardiac and hematological disorders. Carrying out the appropriate experiments requires great care and precision in order to obtain data sufficiently detailed to be compared with theoretical observations which in turn suggest new theoretical (modeling) approaches. For the following systems, we will be developing mathematical models thriving for a representation that is simplified enough to allow for significant understanding of the system as a whole, yet is complex enough to incorporate all the fundamental components of the physiology. 1) The regulation of the circulating blood cells is a complex biochemical system. We study the influence of the main regulatory protein, erythropoietin (EPO), in the feedback mechanism maintaining the number of red blood cells (which carry oxygen to all tissues and organs) at an appropriate level; we also explore the interactions of these cells with systems predominantly controlling the regulation of the other types of circulating blood cells (mainly platelets, which are responsible for the prevention of bleeding). 2) Emerging zoonotic diseases are defined by the World Health Organization (WHO) as diseases transmitted from animals to men "that are newly recognized or newly evolved, or that have occurred previously but show an increase in incidence or expansion in geographical, host or vector range". With modifications in the habitat of a number of species involved in the transmission of these diseases, there is renewed interest in understanding their propagation mechanisms. We shall investigate mathematical models for such a mosquito-borne disease, Dengue Fever (DF), trying to understand the dynamics of multiple expositions to different strains of DF.