# Cardiac Diffusion Tensor Biomarkers of Chronic Infarction Based on In Vivo Data
## 3 Results
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{4}{c}{**FA**} & \multicolumn{3}{c}{**MD**} \\ \hline \multirow{2}{*}{**Sub**} & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Border vs.**} & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Border vs.**} & \multicolumn{2}{c}{**Infarct vs.**} \\  & \multicolumn{2}{c}{**Border**} & \multicolumn{2}{c}{**Remote**} & \multicolumn{2}{c}{**Remote**} & \multicolumn{2}{c}{**Border**} & \multicolumn{2}{c}{**Remote**} & \multicolumn{2}{c}{**Remote**} \\ \hline S1 & \(-18.4\%\), \(p<0.01\) & \(-24.0\%\), \(p<0.01\) & \(-38.0\%\), \(p<0.01\) & \(14.6\%\), \(p<0.01\) & \(21.3\%\), \(p<0.01\) & \(39.0\%\), \(p<0.01\) \\ S2 & \(-6.5\%\), \(p=0.25\) & \(-2.7\%\), \(p<0.01\) & \(-9.0\%\), \(p<0.01\) & \(7.0\%\), \(p<0.01\) & \(7.0\%\), \(p<0.02\) & \(5.4\%\), \(p<0.01\) & \(12.8\%\), \(p<0.01\) \\ S3 & \(-11.8\%\), \(p<0.01\) & \(-11.1\%\), \(p<0.01\) & \(-21.6\%\), \(p<0.01\) & \(15.0\%\), \(p<0.01\) & \(4.6\%\), \(p<0.01\) & \(20.3\%\), \(p<0.01\) \\ S4 & \(-9.5\%\), \(p<0.01\) & \(-5.7\%\), \(p=0.1\) & \(-14.6\%\), \(p=0.02\) & \(7.3\%\), \(p<0.01\) & \(2.9\%\), \(p<0.01\) & \(10.3\%\), \(p<0.01\) \\ S5 & \(-10.2\%\), \(p<0.01\) & \(8.3\%\), \(p<0.01\) & \(-2.7\%\), \(p<0.01\) & \(7.1\%\), \(p<0.01\) & \(6.0\%\), \(p<0.01\) & \(13.5\%\), \(p<0.01\) \\ \hline \multicolumn{4}{c}{**e\({}_{1}\)**} & \multicolumn{3}{c}{**e\({}_{2}\)**} \\ \cline{2-9}  & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Border vs.**} & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Border vs.**} & \multicolumn{2}{c}{**Infarct vs.**} \\  & \multicolumn{2}{c}{**Border**} & \multicolumn{2}{c}{**Remote**} & \multicolumn{2}{c}{**Remote**} & \multicolumn{2}{c}{**Border**} & \multicolumn{2}{c}{**Remote**} & \multicolumn{2}{c}{**Remote**} \\ \hline S1 & \(9.2\%\), \(p<0.01\) & \(14.1\%\), \(p<0.01\) & \(24.6\%\), \(p<0.01\) & \(15.3\%\), \(p<0.01\) & \(25.8\%\), \(p<0.01\) & \(45.0\%\), \(p<0.01\) \\ S2 & \(3.7\%\), \(p=0.22\) & \(3.2\%\), \(p<0.01\) & \(7.0\%\), \(p<0.01\) & \(13.7\%\), \(p<0.01\) & \(6.9\%\), \(p<0.01\) & \(21.5\%\), \(p<0.01\) \\ S3 & \(7.8\%\), \(p<0.01\) & \(3.5\%\), \(p<0.01\) & \(11.6\%\), \(p<0.01\) & \(16.2\%\), \(p<0.01\) & \(8.5\%\), \(p<0.01\) & \(26.1\%\), \(p<0.01\) \\ S4 & \(7.1\%\), \(p<0.01\) & \(-0.8\%\), \(p<0.01\) & \(6.2\%\), \(p<0.01\) & \(8.4\%\), \(p<0.01\) & \(4.5\%\), \(p<0.01\) & \(13.2\%\), \(p<0.01\) \\ S5 & \(4.1\%\), \(p<0.01\) & \(7.8\%\), \(p<0.01\) & \(12.2\%\), \(p<0.01\) & \(6.7\%\), \(p<0.01\) & \(6.7\%\), \(p<0.01\) & \(13.8\%\), \(p<0.01\) \\ \hline \multicolumn{4}{c}{**e\({}_{3}\)**} & \multicolumn{3}{c}{**RD**} \\ \cline{2-9}  & \multicolumn{2}{c}{**Infarct vs.**} & \multicolumn{2}{c}{**Border vs.**} & \multicolumn{2}{c}{**Infarct vs.**} & \multicolsimulated as a function of ECV show that MD, e\({}_{1}\), and RD increase with respect to ECV, while FA decreases. Furthermore, as ECV increases, the simulated percentage increase in RD is larger than the increase in e\({}_{1}\). Figure 7 compares in vivo and ex vivo FA, MD, e\({}_{1}\), e\({}_{2}\), e\({}_{3}\), and RD values. Mappings are reported for a representative slice and boxplots were used to quantitatively compare the diffusion quantities computed using in vivo and ex vivo data across all subjects. The in vivo versus ex vivo boxplot comparisons are based on the subject-wise median values for FA, MD, e\({}_{1}\), e\({}_{2}\), e\({}_{3}\), and RD. Figure 6: MD, FA, e\({}_{1}\), and RD as a function of simulated ECV for 45 cellular structures and 5 diffusion distributions (225 cases in total). These results are obtained from diffusion simulations with 20,000 water molecules and a timestep \(\Delta\)t = 10 \(\upmu\)s. Cellular structures with similar ECV (\(\pm\)0.05) are clustered together and median values of each cluster are connected to better visualize the overall trend of MD, FA, e\({}_{1}\), and RD with increasing ECV.