动态血液病的动力学机制及其治疗方案研究

动态血液病是指造血系统稳定性丧失导致血细胞数量大幅振荡的一类疾病，该类疾病患者血细胞数量的振荡模式通常十分复杂。本项目通过造血系统动力学模型对四类重要动态血液病的发病机制及治疗方案进行统一研究。为此，本项目首先研究定量刻画复杂振荡特征的方法，建立各类动态血液病振荡模式的识别准则，从而区分振荡的不同来源和产生机制。在此基础上，研究不同血细胞系间的相互作用，将四类动态血液病统一研究，尽可能完整地给出每种参数异常可能导致的动态血液病类型。最后，通过具有多稳态的造血系统动力学模型，研究消除动态血液病血细胞数量振荡的治疗方案。本项目是对四类动态血液病的全面刻画，能加深对造血系统动力学的认识。研究中注重临床数据和动力学分析的结合，能够为进一步的临床研究奠定理论基础。本项目中振荡解特征的刻画和识别需要综合多种数学工具，对数学研究也有推动作用，且其结果可以应用于其他生物振荡系统。

Dynamic hematological diseases are characterized by oscillations in the number of one or all of the circulating blood cells. They are caused by the disorder of hematopoiesis system. The oscillatory patterns are usually complicated in many cases of dynamic hematological diseases. This project systematically studies the dynamical mechanism and therapeutic strategies of four main dynamic hematological diseases. To this end, this project will investigate firstly the methods for precise characteristics of complicated oscillatory solutions and establish the criterion for identification and classification of dynamic hematological diseases. The characterization will also provide a method to identify the origins of dynamic hematological diseases. Based on the characterization of oscillations, this project consolidates the four types of dynamic hematological diseases. This project aims to obtain a list of the possible responses upon variations in each parameter. Finally, this project will also study the therapeutic strategies towards elimination of oscillation given the existence of multistability in the hematological systems. This project aims to a systematic understanding of the four main dynamical hematological diseases with emphasis on the combination of clinical data and mathematical modeling. This project will prompt the understanding of hematopoiesis dynamics as well as provide theoretical evidence for clinical applications. In addition, this project will study the quantitative characterization and identification of complex oscillations with several mathematical methods, which also prompts the progress of mathematics and raises mathematical problems. This method will be applicable in other oscillatory biological systems.