标题： 干细胞时空动力学的统计和数学建模 显示英文标题

标题： Statistical and mathematical modeling of spatiotemporal dynamics of stem cells

摘要： 统计和数学建模对于描述、解释、比较和预测复杂生物系统的功能至关重要，包括骨髓环境中造血干细胞和祖细胞的组织。目前高分辨率和活细胞成像数据的广泛应用为研究这些细胞在其干细胞生态位中的时空动态提供了前所未有的机会，从而更深入地了解异常以及未受干扰的正常造血过程。然而，这需要对细胞的空间和时间行为及其与微环境的相互作用进行仔细的定量统计分析。此外，这种量化是构建假设驱动的数学模型的前提，这些模型可以通过生成可以直接与实验观察进行比较的时空动态来提供机制性解释。在此，我们简要概述了用于分析细胞空间分布、细胞运动性、细胞形状和细胞系谱的统计方法。我们还描述了基于细胞的建模形式，这些形式允许研究人员根据一组假设机制模拟多细胞系统中的涌现行为。总之，这些方法为造血干细胞和祖细胞的时空行为的分析和合成研究提供了一个定量的工作流程。 显示英文摘要

摘要： Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment. The current prominence of high-resolution and live-cell imaging data provides an unprecedented opportunity to study the spatiotemporal dynamics of these cells within their stem cell niche and learn more about aberrant, but also unperturbed, normal hematopoiesis. However, this requires careful quantitative statistical analysis of the spatial and temporal behavior of cells and the interaction with their microenvironment. Moreover, such quantification is a prerequisite for the construction of hypothesis-driven mathematical models that can provide mechanistic explanations by generating spatiotemporal dynamics that can be directly compared to experimental observations. Here, we provide a brief overview of statistical methods in analyzing spatial distribution of cells, cell motility, cell shapes and cellular genealogies. We also describe cell- based modeling formalisms that allow researchers to simulate emergent behavior in a multicellular system based on a set of hypothesized mechanisms. Together, these methods provide a quantitative workflow for the analytic and synthetic study of the spatiotemporal behavior of hematopoietic stem and progenitor cells.