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Approximation necrotic volume from area of cross sections
Author(s)
Hiransakolwong, Nualsawat
Chitsakul, Pakkinee
Date Issued
May 1, 2006
Type
Article
Abstract
Osteosarcoma is the most common primary malignant bone tumor (bone cancer) in children and adolescents. Doctors currently treat Osteosarcoma patients by combining a biopsy and Chemotherapy. After a patient has undergone Chemotherapy, doctors do a biopsy to establish the ratio of necrotic (dead tissue) to cancer cells in the bone. Based on these results, the decision for treatment is made. The current method is to compute the ratio by finding an average of the cross sections. This method is prone to error if the surfaces of cross sections have so different values. We do not know the real volumes of dead tissue and cancer cells therefore we create 3D graphic bone models within any shape used in simulation for the bone biopsy and then the ground truth (the ratio of volumes of dead tissue to cancer cells for each model) is known. Many Interpolation methods and Romberg integration method are used in simulations to predict the dead tissue and cancer cell volumes from known areas on cuts (cross sections). The ratio between these two volumes is then computed. Experiments show interpolation methods and Romberg integration method are more accurate results than the current method used. The Cubic Spline Interpolation is the best method among the other interpolation methods and Romberg integration method. Experiments show that the error in the current method with its ground truth is in a range of between zero and 47 percent. From experiments, the Cubic Spline Interpolation method gives more accurate results than the current method used. The error of the proposed (the Cubic Spline Interpolation) method with its ground truth is less than 10 percent.
Citation
Wseas Transactions on Computers, 5(5), 955-962, 2006