Inhomogeneous Field Magnetic Resonance Imaging

他目前是宾夕法尼亚大学数学系的教授。他提议花一年的时间访问宾夕法尼亚大学医院放射科的磁共振研究小组，Felix Wehrli博士已经同意担任他的东道主。在那里，他将学习与磁共振成像相关的主题，并获得使用成像设备的经验。他的研究方向是确定利用非均匀背景场和非线性梯度场进行磁共振成像的实际可行性。这个问题的最初部分涉及对麦克斯韦方程组的某些特殊解的分析。下一步是研究一类积分变换的实际可逆性，这些积分变换是标准傅里叶变换的摄动。希望这将导致磁体的设计，其磁场虽然不均匀，但仍然可以用于磁共振成像。最终目标是构建一个可工作的原型。如果非均匀场成像被证明是可行的，它可以降低成像设备的成本，增加该技术的灵活性和适用性。该IGMS项目由MPS多学科活动办公室（OMA）和数学科学司（DMS）联合支持。

Dr. Epstein is presently a professor in the Mathematics department at the University of Pennsylvania. He proposes to spend a year visiting the magnetic resonance research group in the Radiology Department of the Hospital of the University of Pennsylvania, where Dr. Felix Wehrli has agreed to be his host. While there he will study topics related to magnetic resonance imaging and gain hands on experience with imaging apparatus. His study will be directed toward determining the practical feasibility of magnetic resonance imaging using an inhomogeneous background field and non-linear gradient fields. The initial part of this problem involves the analysis of certain special solutions of Maxwell's equations. The next step is to study the practical invertibility of a class of integral transforms which are perturbations of the standard Fourier transform. Hopefully this will lead up to designs for magnets whose fields, though inhomogeneous, can still be used for magnetic resonance imaging. The ultimate goal is to build a working prototype. If inhomogeneous field imaging should prove feasible it could reduce the cost of the imaging apparatus and increase the flexibility and applicability of this technology. This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).