Computational Problems in Biomedical Engineering

为图像处理和其他生物医学应用设计成功的数值方法需要对潜在问题和所需解决方案以及用于数据收集和计算环境的仪器有透彻的了解。该提案寻求支持PI在凯斯西储大学生物医学工程系度过他的休假年和部分暑假。J. Duerk和D. Wilson将在他逗留期间担任PI的东道主。在CWRU的生物医学环境中全职学习一年，将使PI有机会加强和拓宽他的图像处理知识，并从工程角度看待该领域。他还将获得各种生物医学工程应用的重要见解，其解决方案在计算上具有挑战性。PI在大规模计算的数值方法方面的专业知识以及最近在图像恢复方面的应用将使他能够从一开始就与托管部门的教职员工和学生进行互动，从而使他能够利用所有学习机会。预计这种相互作用将发展成为一种坚实而富有成果的合作，为新的医疗应用开发更好的数值方法，例如，用于侵入性较小的癌症治疗的介入性核磁共振成像。新的知识和技能将大大拓宽PI的专业知识，并将为他未来的研究开辟新的途径。回到既没有工程学院也没有医学院的母校后，他将通过指导硕士生和博士生的工作，设计新的跨学科课程，并举办一系列讲座和研讨会，来传播他在医学成像和工程学方面的新知识。回到他的部门后，PI将能够-在研究生和本科生的数值分析和科学计算课程中引入生物医学工程的应用-为博士和硕士论文分配生物医学工程中出现的计算问题，可能与CWRU生物医学工程系的成员合作。这将产生学生感兴趣和有吸引力的论文题目，并使学生在就业市场上更具吸引力-组织关于生物医学工程计算问题的研讨会，如果有兴趣，则开发“生物医学工程计算问题”课程-作为他的部门和CWRU生物医学工程系之间的联络人。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。

The design of successful numerical methods for image processing and other biomedical applications require a thorough understanding of the underlying problems and of the desired solutions, as well as of the instrumentation for data collection and the computational environment. This proposal seeks support for the PI to spend his sabbatical year, and part of the summers attached to it at the Biomedical Engineering department at Case Western Reserve University. J. Duerk and D. Wilson will serve as hosts to the PI during his stay. A year of full time immersion in the biomedical environment at CWRU will give the PI an opportunity to strengthen and broaden his image processing knowledge and to view the field from the engineering perspective. He will also acquire significant insight in various biomedical engineering applications whose solution is computationally challenging. The PI's expertise on numerical methods for large-scale computations and the recent applications to the restoration of images will make it possible to begin interacting with faculty and students in the hosting department from the start, thus allowing him to take advantage of all learning opportunities. It is envisioned that this interaction will develop into a solid and fruitful cooperation on the development of better numerical methods for novel medical applications, e.g., interventional MRI for a new less invasive cancer treatment. The new knowledge and skills will significantly broaden the PI's expertise and will open new avenues for his future research. Upon returning to his home institution, where there is neither an engineering school nor a medical school, he will divulge his new knowledge of medical imaging and of the engineering perspective on it by directing the work of Masters and PhD students, designing new, interdisciplinary courses and giving a series of lectures and seminars. Upon return to his department the PI will be able to -introduce applications from biomedical enginee ring in graduate and undergraduate courses on numerical analysis and scientific computing -assign computational problems arising in biomedical engineering for Ph.D. and Masters theses, possibly in collaboration with members of the Department for Biomedical Engineering at CWRU. This should yield thesis topics that students would find interesting and attractive, as well as make the students more attractive on the job market -organize seminars on computational problems in biomedical engineering, and if there is interest, develop courses on "Computational Problems in Biomedical Engineering" -serve as liaison between his department and the Department of Biomedical Engineering at CWRU. This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).