Abstract #0013

Quantitative Transport Mapping (QTM): Inverse Solution to a Voxelized Equation of Mass Flux of Contrast Agent in a Porous Tissue Model

Qihao Zhang¹, Liangdong Zhou², John Morgan³, Thanh D Nguyen⁴, Pascal Spincemaille³, and Yi Wang²

¹Biomedical Engineeering, Cornell University, New York, NY, United States, ²Weill Cornell Medicine, New York, NY, United States, ³Radiology, Weill Cornell Medicine, New York, NY, United States, ⁴Weill Cornell Medicine College, New York, NY, United States

We purpose to calculate a tracer velocity field by solving the inverse problem of a voxelized transport equation for time resolved 3D (4D) dynamic contrast enhanced (DCE) data, which is termed as quantitative transport mapping (QTM). Using a porous medium model, the 4D imaging data is connected to the voxel-averaged transport equation of mass flux. The transport inverse problem is solved to estimate velocity and pseudo tortuosity. QTM provides the advantage of high accuracy in numerical validation and automated procession without manual input for in vivo DCE brain tumor data, compared to the traditional Kety’s method of perfusion quantification.

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