LarsonLab / MRI-education-resources

Resources for learning the principles of magnetic resonance imaging (MRI)
https://larsonlab.github.io/MRI-education-resources
MIT License
103 stars 27 forks source link

Inclusion of E1 term, in Diagonal Matrix for Matrix form of Bloch Equation Solution #18

Closed snawarhussain closed 10 months ago

snawarhussain commented 11 months ago

I was going through the section on the Bloch equations and noticed that the diagonal matrix in the relaxation In the solution, the A matrix is given as is given as: $$diag[exp(-t / T2), exp(-t / T2), 1]$$ However, based on the mathematical formulation written on the next line for $$M_z = M_0 \exp(-t / T_1) + M_0 (1 - \exp(- t / T_1)) $$ shouldn't the diagonal matrix be: $$diag[exp(-t / T2), exp(-t / T2), exp(-t / T1)]$$

agentmess commented 10 months ago

Thank you for catching this! It is now corrected