Interdisciplinary Grants in the Mathematical Sciences

这笔赠款将为杰罗姆·斯帕尼尔教授和孔荣博士提供沉浸式体验，他们将在世界上最重要的生物医学光学机构之一，加州大学欧文分校（UCI）的贝克曼激光研究所和医疗诊所（BLIMC）工作。 BLIMC研究计划的一个主要目标是了解光如何在异质组织中传播。 这种理解对于使用激光作为有效的非侵入性诊断和治疗工具至关重要。 一小群数学科学家在UCI的沉浸，在那里有机会获得一个精心设计的培训计划，准备在光医学工作的物理科学家，将加深对基本生物学问题的理解，并提供精确的定量比较蒙特卡洛为基础的计算机算法与临床测量。 后者是发展实时成像技术的关键，这种技术是基于激光探针的使用，用于癌症的非侵入性、早期检测和治疗。加速培养生物学和医学领域的数学科学家骨干队伍，这对应用数学家和生物医学科学家之间的有效合作至关重要; B.为组织光学新兴领域的数学家和科学家的额外培训培育丰富的平台; c.增强重要的多学科研究计划，旨在在临床环境中使用手持式激光探针对异质组织进行实时成像; d.通过在生物医学和应用数学文献中发表文章，以及在数学家和生物医学科学家参加的会议上进行口头报告，传播新的、重要的数学和计算方法，用于检测和治疗疾病。今年的密切互动之后，两所大学将继续合作，旨在实质性地提高它们在量化组织中光学异质性方面的联合能力。 该IGMS项目由MPS多学科活动办公室（OMA）和数学科学部（DMS）共同支持。

This grant will provide an immersion experience for Prof. Jerome Spanier and Dr. Rong Kong at one of the premier Biomedical Optics institutions in the world, the Beckman Laser Institute and Medical Clinic (BLIMC) at the University of California at Irvine (UCI). A major thrust of the research program at BLIMC is to understand how light propagates in heterogeneous tissue. This understanding is essential to the use of the laser as an effective non-invasive diagnostic and therapeutic tool. The immersion of a small group of mathematical scientists at UCI, where there is access to an elaborate training program that prepares physical scientists for work in photomedicine, will deepen understanding of basic biological questions and provide accurate quantitative comparisons of Monte Carlo-based computer algorithms with clinical measurements. The latter is key to the development of real-time imaging techniques for non-invasive, early detection andtreatment of cancer, based on the use of laser probes.Benefits to be derived from the grant experience include: a. acceleration of the education of a cadre of mathematical scientists in the biology and medicine essential to an effective collaboration between appliedmathematicians and biomedical scientists; b. cultivation of a rich platform for additional training of mathematicians and scientists in the emerging field of tissue optics; c. enhancement of an important multidisciplinary research program aimed at real-time imaging of heterogeneous tissue using hand heldlaser probes in clinical settings; d. dissemination of new, important mathematical and computational methods for detection and treatment of disease through publications in the biomedical and applied mathematics literature and oral presentations at conferences attended by both mathematicians and biomedical scientists.This year of intense interaction will be followed by an ongoing collaboration between the two universities aimed at substantively improving their joint capability to quantify optical heterogeneities in tissues. This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).