A generalized parametric response mapping method for analysis of multi‐parametric imaging: A feasibility study with application to glioblastoma
Authors: Lausch Anthony , Yeung Timothy Pok‐Chi , Chen Jeff , Law Elton , Wang Yong , Urbini Benedetta , Donelli Filippo , Manco Luigi , Fainardi Enrico , Lee Ting‐Yim , Wong Eugene 
Published: September 2017

PurposeParametric response map (PRM) analysis of functional imaging has been shown to be an effective tool for early prediction of cancer treatment outcomes and may also be well‐suited toward guiding personalized adaptive radiotherapy (RT) strategies such as sub‐volume boosting. However, the PRM method was primarily designed for analysis of longitudinally acquired pairs of single‐parameter image data. The purpose of this study was to demonstrate the feasibility of a generalized parametric response map analysis framework, which enables analysis of multi‐parametric data while maintaining the key advantages of the original PRM method.MethodsMRI‐derived apparent diffusion coefficient (ADC) and relative cerebral blood volume (rCBV) maps acquired at 1 and 3‐months post‐RT for 19 patients with high‐grade glioma were used to demonstrate the algorithm. Images were first co‐registered and then standardized using normal tissue image intensity values. Tumor voxels were then plotted in a four‐dimensional Cartesian space with coordinate values equal to a voxel's image intensity in each of the image volumes and an origin defined as the multi‐parametric mean of normal tissue image intensity values. Voxel positions were orthogonally projected onto a line defined by the origin and a pre‐determined response vector. The voxels are subsequently classified as positive, negative or nil, according to whether projected positions along the response vector exceeded a threshold distance from the origin. The response vector was selected by identifying the direction in which the standard deviation of tumor image intensity values was maximally different between responding and non‐responding patients within a training dataset. Voxel classifications were visualized via familiar three‐class response maps and then the fraction of tumor voxels associated with each of the classes was investigated for predictive utility analogous to the original PRM method. Independent PRM and MPRM analyses of the contrast‐enhancing lesion (CEL) and a 1 cm shell of surrounding peri‐tumoral tissue were performed. Prediction using tumor volume metrics was also investigated. Leave‐one‐out cross validation (LOOCV) was used in combination with permutation testing to assess preliminary predictive efficacy and estimate statistically robust P‐values. The predictive endpoint was overall survival (OS) greater than or equal to the median OS of 18.2 months.ResultsSingle‐parameter PRM and multi‐parametric response maps (MPRMs) were generated for each patient and used to predict OS via the LOOCV. Tumor volume metrics (P ≥ 0.071 ± 0.01) and single‐parameter PRM analyses (P ≥ 0.170 ± 0.01) were not found to be predictive of OS within this study. MPRM analysis of the peri‐tumoral region but not the CEL was found to be predictive of OS with a classification sensitivity, specificity and accuracy of 80%, 100%, and 89%, respectively (P = 0.001 ± 0.01).ConclusionsThe feasibility of a generalized MPRM analysis framework was demonstrated with improved prediction of overall survival compared to the original single‐parameter method when applied to a glioblastoma dataset. The proposed algorithm takes the spatial heterogeneity in multi‐parametric response into consideration and enables visualization. MPRM analysis of peri‐tumoral regions was shown to have predictive potential supporting further investigation of a larger glioblastoma dataset.