NSF/CBMS Regional Conference in the Mathematical Sciences -- Mathematical Methods of Computed Tomography

该奖项将支持NSF/CMBS区域会议，该会议将于2012年夏天在德克萨斯大学阿灵顿分校举行，主题是计算机断层扫描的数学方法。主讲嘉宾是德州农工大学的Peter Kuchment教授。该奖项将支持30名处于职业生涯不同阶段的参与者。用于医学成像的计算机断层扫描技术旨在恢复各种重要组织参数的内部分布，如密度、含水量、氧合、血红蛋白含量、电导率、光学性质和机械性质。这些参数被医生用来诊断许多类型的病症。会议将探讨计算机断层扫描这一正在积极发展的重要领域的数学技术、结果和开放问题，旨在鼓励成熟的和更年轻的数学家开始在这一领域进行研究。演讲者将讨论经典的断层扫描方式，如x射线计算机断层扫描、单光子发射计算机断层扫描、正电子发射断层扫描、磁共振成像、电阻抗断层扫描、超声断层扫描和光学断层扫描，以及目前正在开发的新型混合方法，如热声和光声断层扫描、磁共振电阻抗断层扫描、声电断层扫描、声光断层扫描、还有磁共振弹性成像。

This award will support an NSF/CMBS regional conference to be held at the University of Texas at Arlington in the summer of 2012 on the topic of mathematical methods of computed tomography. The principal speaker will be Professor Peter Kuchment from Texas A&M University. This award will support 30 participants at different stages of their careers. Computed tomography techniques used for medical imaging aim to recover the internal distribution of various important tissue parameters such as density, water content, oxygenation, hemoglobin content, electrical conductivity, optical properties, and mechanical properties. These are parameters are used by medical practitioners for diagnosis of many types of conditions.The conference will survey mathematical techniques, results, and open problems in the actively developing and important field of computed tomography, aiming to encourage both established and more junior mathematicians to begin research in this field. The speaker will address both classical tomographic modalities, such as x-ray computed tomography, single photon emission computed tomography, positron emission tomography, magnetic resonance imaging, electrical impedance tomography, ultrasound tomography, and optical tomography, and novel hybrid methods currently being developed, such as thermoacoustic and photoacoustic tomography, magnetic resonance electrical impedance tomography, acousto-electric tomography, acousto-optical tomography, and magnetic resonance elastography.