Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Journal of Computational and Applied Mathematics
Algorithm 856: APPSPACK 4.0: asynchronous parallel pattern search for derivative-free optimization
ACM Transactions on Mathematical Software (TOMS)
A coupled finite element model of tumor growth and vascularization
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Finite element modeling of brain tumor mass-effect from 3d medical images
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
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It is important to predict the tumor growth so that appropriate treatment can be planned especially in the early stage. In this paper, we propose a finite element method (FEM) based 3D tumor growth prediction system using longitudinal kidney tumor images. To the best of our knowledge, this is the first kidney tumor growth prediction system. The kidney tissues are classified into three types: renal cortex, renal medulla and renal pelvis. The reaction-diffusion model is applied as the tumor growth model. Different diffusion properties are considered in the model: the diffusion for renal medulla is considered as anisotropic, while those of renal cortex and renal pelvis are considered as isotropic. The FEM is employed to simulate the diffusion model. Automated estimation of the model parameters is performed via optimization of an objective function reflecting overlap accuracy, which is optimized in parallel via HOPSPACK (hybrid optimization parallel search). An exponential curve fitting based on the non-linear least squares method is used for multi-time point model parameters prediction. The proposed method was tested on the seven time points longitudinal kidney tumor CT studies from two patients with five tumors. The experimental results showed the feasibility and efficacy of the proposed method.