Collabortive Research: Mathematical optimization for targeted macro-molecules delivery to the brain

协作研究：靶向大分子输送到大脑的数学优化芝加哥大学Richard Penno CBET-0730043这项研究的目标是研究一种新的计算方法，使用先进的医学成像技术来测量大脑几何形状和组织属性，预测注入的治疗性大分子在人脑中的分布。特别是，组织的不均质性和药物在三维人脑中各向异性分布的影响将被纳入其中。将计算用于药物靶向的最佳导管位置，以减少毒性并提高治疗效果。受体的基因组图谱可以结合到所提出的数学模型中，以确定药物活性的空间分布。这项研究将由一个由两名生化工程师、一名神经外科医生和一名核磁共振物理学家组成的跨学科研究小组进行。智力优势：拟议的在人脑中三维传输药物的方法将(I)结合医学成像和严格的数学分析的最新进展，(Ii)创建表示大脑的非均匀和各向异性属性的数学公式，以及(Iii)考虑到输液导管放置的影响。更广泛的影响：这项研究将把现有的医学成像技术与新的数学建模和科学计算方法相结合。创建人脑计算网格和大脑传输现象的符号代码的进展将通过万维网共享，以吸引人们对这一主题的关注，并创建一个日益增长的科学社区。由于PI通过NSF教师研究经验网站(RET)致力于高中数学和科学教育，以及他通过本科生研究(REU)指导接触少数族裔和代表性不足的群体，预计将产生巨大的教育影响。

Collaborative Research: Mathematical optimization for targeted macro-molecules delivery to the brainRichard PennUniversity of ChicagoCBET-0730043The goal of this research is to study a new computational approach to predict the distribution of infused therapeutic macromolecules in the human brain using advanced medical imaging techniques to measure brain geometry and tissue properties. In particular, the impact of tissue inhomogeneity and anisotropic drug distribution in the three-dimensional human brain will be incorporated. Optimal catheter placement for drug targeting will be computed to reduce toxicity and improve the effectiveness of treatments. Genome maps of receptors can be incorporated into the proposed mathematical model for determining the spatial distribution of the drug activity. This research will be carried out by an interdisciplinary research team composed of two biochemical engineers, a neurosurgeon, and an MRI physicist. Intellectual Merits: The proposed approach of three dimensional transport drug deliveries in the human brain will (i) bring together recent advancements in medical imaging and rigorous mathematical analysis, (ii) create mathematical formulations for the representation of the inhomogeneous and anisotropic properties of the brain, and (iii) account for the effect of infusion catheter placement. Broader Impacts: This research will integrate existing medical imaging technology with new mathematical modeling and scientific computing methods. The progress of creating computational grids of the human brain and symbolic codes for cerebral transport phenomena will be shared via the world-wide web to attract attention to the subject and create a growing scientific community. A large educational impact is expected because of the PI's commitment to high school math and science education via the NSF site for research experiences for teachers (RET), as well as his outreach to minorities and underrepresented groups through undergraduate research (REU) mentorship.