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With strong numerical and computational focus, this book serves as an essential resource on the methods for functional neuroimaging analysis, diffusion weighted image analysis, and longitudinal VBM analysis. It includes four MRI image modalities analysis methods. The first covers the PWI methods, which is the basis for understanding cerebral flow in human brain. The second part, the books core, covers fMRI methods in three specific domains: first level analysis, second level analysis, and effective connectivity study. The third part covers the analysis of Diffusion weighted image, i.e. DTI, QBI and DSI image analysis. Finally, the book covers (longitudinal) VBM methods and its application to Alzheimers disease study.
Chapter 1: MRI perfusion weighted imaging analysis
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1.1????? Perfusion imaging. 2
1.1.1?????? Indicator-dilution theory for DSC-MRI 3
1.1.2?????? MTT and CBV calculation. 5
1.1.3?????? DSC-MRI time series analysis. 7
1.2????? Gamma-variate fitting. 9
1.2.1?????? Linear regression method for Gamma-variate fitting. 10
1.2.2?????? Nonlinear regression method for Gamma-variate fitting. 11
1.2.3?????? Baseline elimination for gamma-variate fitting. 15
1.2.4?????? Linear method and nonlinear method for gamma-variate fitting. 18
1.3????? AIF selection. 18
1.3.1?????? Robust method for AIF determination. 19
1.3.2?????? Deconvolution calculation and residual function estimation. 21
1.3.3?????? SVD method for deconvolution. 22
1.3.4?????? L2 norm regularization for PWI study. 24
1.3.5?????? Piecewise linear method for ridge regression parameter estimation. 25
1.3.6?????? CBF, MTT, CBV, arrive time, and T-max maps. 29
1.4????? Dispersil,
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