One Year at BIO5: The Mathematical Modeling of Vascular Systems, Angiogenesis, and Tumour Growth

具有应用数学和力学背景的PI将花一年时间沉浸在亚利桑那大学BIO5研究所的多学科环境中，学习和研究血管系统和肿瘤生长的建模。这一目标将通过与Tim Secomb博士(生理学系)、Jay Hoying博士(生物医学工程项目)和Robert Gatenby博士(放射科)的密切互动和合作来实现，他们的专业知识涵盖从临床研究、细胞、分子和基因组分析到建模的所有相关科学水平。此外，主持人都曾与彼此和数学家进行过事先的合作。在深入研究血管网络、血管生成和肿瘤生长的生物学的同时，还将开展具体的研究项目，包括(I)非圆柱形几何形状的血管壁的力学及其在分支和血管生成中的应用，(Ii)微环境酸中毒中癌前肿瘤细胞的物理发展和分布。此外，PI将为试验组提供他在基因芯片数据分析方面的专业知识。两名应用数学研究生(Rebecca Vandiver和Mark Robertson-Tessi)也将参与该项目，并继续他们在软组织生长和力学方面的博士工作。这笔赠款将促进PI的研究事业，并为学生提供新的教育机会，这些机会将通过生物数学研讨会和通过在生物数学领域寻求培训补助金来寻求资金。这个IGMS项目由MPS多学科活动办公室(OMA)和数学科学部(DMS)联合支持。

The PI whose background is in applied mathematics and mechanics will spend one year immersed in the multidisciplinary environment of the BIO5 institute at the University of Arizona to learn and work on the modeling of the vascular system and tumour growth. This goal will be achieved through close interaction and collaboration with a Drs. Tim SECOMB, (department of physiology), Jay HOYING (biomedical engineering program), and Robert GATENBY (department of radiology) whose combine expertise span all relevant scientific levels from clinical studies, cellular, molecular, and genomic analyses to modeling. Also, the hosts all had prior collaborations with each other and mathematicians. In parallel to in-depth studies of the biology of vascular network, angiogenesis, and tumour growth, specific research projects will be undertaken including (i) the mechanics of vessels walls in non cylindrical geometry with application to branching and vasculogenesis, (ii) the physical development and distribution of pre-malignant tumour cells in microenvironmental acidosis. Furthermore, the PI will lend his expertise in data analysis of cDNA microarray to the experimental group. Two graduate students in Applied Mathematics (Rebecca Vandiver and Mark Robertson-Tessi) will also work on the project and pursue their doctoral work on growth and mechanics of soft-tissues. The grant will enhance the PI research career, as well as open new educational opportunities for students that will be achieve through the biomathematics seminar and pursuing funding through training grants in the area of biomathematics.This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).