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数学节拍

The Beat of Math
课程网址: https://videolectures.net/8ecm2021_quarteroni_beat_math/  
主讲教师: Alfio Quarteroni
开课单位: 8ECM会议
开课时间: 2021-07-06
课程语种: 英语
中文简介:
基于第一性原理的数学模型被设计用于描述人体循环系统中的血液运动,以及模拟心脏中发生的电、机械和流体动力学过程之间的相互作用。这是一个必须解决多物理和多尺度过程的经典环境。必须设计适当的非线性微分方程(常微分方程和偏微分方程)系统和有效的数值策略,以便分析心脏功能和功能障碍,以及模拟、控制和优化治疗和手术。本演示将讨论其中的一些问题和一些临床感兴趣的代表性应用。鸣谢:本次演讲中介绍的工作是iHEART项目的一部分,该项目已获得欧洲研究委员会(ERC)根据欧盟地平线2020研究和创新计划(拨款协议编号740132)提供的资金
课程简介: Mathematical models based on first principles are devised for the description of the blood motion in the human circulatory system, as well as for the simulation of the interaction between electrical, mechanical, and fluiddynamical processes occurring in the heart. This is a classical environment where multi-physics and multi-scale processes have to be addressed. Appropriate systems of nonlinear differential equations (either ordinary and partial) and efficient numerical strategies must be devised to allow for the analysis of both heart function and dysfunction, and the simulation, control, and optimization of therapy and surgery. This presentation will address some of these issues and a few representative applications of clinical interest. Acknowledgment: The work presented in this talk is part of the project iHEART that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No 740132)
关 键 词: 数学模型; 数学节拍; 流体动力学
课程来源: 视频讲座网
数据采集: 2024-05-28:liyq
最后编审: 2024-05-28:liyq
阅读次数: 4