Time series analysis method of nuclear magnetic resonance for brain functions based on constrained optimization
A time series analysis, nuclear magnetic resonance technology, applied in the fields of medical science, sensors, diagnostic recording/measurement, etc., to achieve the effect of flexible expansion of the method
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[0037] 1. Estimate the hemodynamic function of a single pixel
[0038] Selected time series such as figure 2 . There are 13 stimuli and 91 time points.
[0039] We first estimate the hemodynamic function of the pixel, the result is: [3.26 5.38 0.50 -3.92 -3.96 -4.46 -2.57]
[0040] 2. Estimate the hemodynamic function of different stimuli
[0041] Using the hemodynamic function of the pixel estimated in the first step and constrained optimization (see equation (2)), we can obtain the hemodynamic function of each stimulus (see image 3 ).
[0042] 3. Statistical hypothesis testing
[0043] method
[0044] By comparison, the F statistic of the method of the present invention is 18.53, while the statistic of the traditional deconvolution method is 16.94. It can be seen that this method is superior to the traditional deconvolution method.
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