Erratum: “A novel perfused Bloch‐McConnell simulator for analyzing the accuracy of dynamic hyperpolarized MRS” [Med. Phys. V43, 854‐864(2016)]

[https://doi.org/10.1118/1.4939877]

In the version of this article initially published,1 Eqs. 7 and 8 are incorrect. The correct equations are:

$$\begin{array}{cc}\hfill \frac{d\stackrel{------\rightharpoonup }{M_{P_{ev}}}}{dt}=\mathit{\gamma }(\stackrel{----\rightharpoonup }{M_{P_{ev}}}\times \stackrel{\rightharpoonup }{B})-\left(\stackrel{---\rightharpoonup }{{\mathrm{R}}_{\mathrm{P}}}+{\mathrm{k}}_{\mathrm{pl}}+\frac{{\mathrm{k}}_{\mathrm{ve}}}{{\mathrm{v}}_{\mathrm{e}}}\right)\stackrel{----\rightharpoonup }{{\mathrm{M}}_{{\mathrm{P}}_{\mathrm{ev}}}}+\frac{{\mathrm{k}}_{\mathrm{ve}}}{{\mathrm{v}}_{\mathrm{e}}}\stackrel{----\rightharpoonup }{{\mathrm{M}}_{{\mathrm{P}}_{\mathrm{v}}}}& \\ \hfill \frac{d\stackrel{------\rightharpoonup }{M_{L_{ev}}}}{dt}=\mathit{\gamma }(\stackrel{----\rightharpoonup }{M_{L_{ev}}}\times \stackrel{\rightharpoonup }{B})-\stackrel{-----\rightharpoonup }{{\mathrm{R}}_{\mathrm{L}}}\stackrel{----\rightharpoonup }{{\mathrm{M}}_{{\mathrm{L}}_{\mathrm{ev}}}}+{\mathrm{k}}_{\mathrm{pl}}\stackrel{----\rightharpoonup }{{\mathrm{M}}_{{\mathrm{P}}_{\mathrm{ev}}}}& \\ \hfill \stackrel{----\rightharpoonup }{M_{P_v}}=\mathrm{\Gamma }(t)\end{array}$$ (7)

$$\begin{array}{c}\hfill \frac{dPyr(t)}{dt}=-\left(\frac{1}{T_{1,Pyr}}+\frac{1-\text{cos}\mathit{\theta }}{TR}\right)Pyr(t)-\widehat{{\mathrm{k}}_{\mathrm{pl}}}Pyr(t)\\ \hfill \frac{dLac(t)}{dt}=-\left(\frac{1}{T_{1,Lac}}+\frac{1-\text{cos}\mathit{\theta }}{TR}\right)Lac(t)+\widehat{{\mathrm{k}}_{\mathrm{pl}}}Pyr(t)\end{array}$$ (8)

These corrections are typographical and have no impact on any other equations, results, or conclusion in the article