Calculate MZ(0−), the steady-state magnetization value just before the RF pulses.

In this problem, we answer the question: What is the tip angle that maximizes MR signal intensity for a pulse sequence with given TR and TE values? Solve this problem for given T1, T2, and T∗ 2 values. Assume that the magnetization is in the steady-state condition, that is, the magnetization is a periodic function of time with a period of TR. Also assume that the transverse magnetization completely dephases before each RF pulse, that is, Mxy(0) = 0.

(a) Calculate MZ(0), the steady-state magnetization value just before the RF pulses.

(b) Calculate Mxy(TE), the signal level in the steady-state condition.

(c) Calculate the optimum tip angle.

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Explain why attenuation is not a big problem in PET.

Consider a 2-D object consisting of two triangle compartments, as shown in Figure P9.4. Suppose a solution containing a 511 KeV gamma ray emitting radionuclide with concentration f = 0.5….

Give the mean and the variance of the reconstructed image, mean[ˆ f(x, y)] and var[ˆ f(x, y)].

Ignoring the inverse square law and attenuation, an approximate reconstruction for SPECT imaging is given by where c˜() =  {||W()} and W() is a rectangular windowing filter that cuts off at = 0…..

Find the numerical responses in each to an event in crystal C(4, 6).

Suppose a PET detector comprises four square PMTs (arranged as a 2 by 2 matrix) and a single BGO crystal with slits made in such a way that it is….