Dynamical Regulation in Physiological Systems

许多生理现象表现出复杂的波动。这种变异性可以是个体健康的指标，如心率、睡眠-觉醒周期的波动或胃肠道的平滑肌收缩。近年来，生理系统的实验研究与生理动力学的理论模型相结合的研究为一些心脏和血液疾病的机制提供了新的见解。进行适当的实验需要非常小心和精确，以便获得足够详细的数据，与理论观察进行比较，从而提出新的理论。（建模）方法。对于以下系统，我们将开发数学模型，这些模型非常适合于简化到足以让人们对整个系统有深刻的理解的演示，然而它的复杂程度足以包含生理学的所有基本成分。1）循环血细胞的调节是一个复杂的生化系统。我们研究了主要调节蛋白促红细胞生成素（EPO）在维持红细胞数量的反馈机制中的影响（将氧气输送到所有组织和器官）;我们还探索了这些细胞与主要控制其他类型循环血细胞调节的系统的相互作用（主要是血小板，负责防止出血）。2）新发人畜共患病被世界卫生组织（WHO）定义为"新认识或新进化的，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 thehealth of the individual, as in the case of the heart rate, fluctuations in sleep-wake cycle or smooth musclecontractions in the gastro-intestinal track. In recent years, research combining experimental studies ofphysiological 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 requiresgreat care and precision in order to obtain data sufficiently detailed to be compared with theoretical observationswhich in turn suggest new theoretical (modeling) approaches.For the following systems, we will be developing mathematical models thriving for arepresentation that is simplified enough to allow for significant understanding of the system as awhole, 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 theinfluence 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.