## 3 Results
### Comparative Study of Modulation in Fibers with and Without APPJ Treatment
\begin{table}
\begin{tabular}{c c c c c c c c} \hline
**ID** & \begin{tabular}{c} **DMF** \\ **(\(\mu\)m)** \\ \end{tabular} & \begin{tabular}{c} **TMED** \\ **(\%)** \\ \end{tabular} & \begin{tabular}{c} **NMED** \\ **(\%)** \\ \end{tabular} & \begin{tabular}{c} **FMED** \\ **(\%)** \\ \end{tabular} & \begin{tabular}{c} **(\%)** \\ \end{tabular} & \begin{tabular}{c} **DMED** \\ **(\%)** \\ \end{tabular} & \
\begin{tabular}{c} **CMED** \\ **(\%)** \\ \end{tabular} &
\begin{tabular}{c} **SMED** \\ **(\%)** \\ \end{tabular} \\ \hline LM0 & 24.94 \(\pm\) 0.75 \({}^{\text{ab}}\) & 99.13 \(\pm\) 0.23 \({}^{\text{bc}}\) & 0.87 \(\pm\) 0.23 \({}^{\text{a}}\) & 0.17 \(\pm\) 0.11 \({}^{\text{a}}\) & 0.04 \(\pm\) 0.06 \({}^{\text{a}}\) & 0.59 \(\pm\) 0.27 \({}^{\text{a}}\) & 0.09 \(\pm\) 0.12 \({}^{\text{ab}}\) \\ \hline LB & 24.12 \(\pm\) 0.55 \({}^{\text{a}}\) & 98.59 \(\pm\) 0.18 \({}^{\text{bc}}\) & 1.41 \(\pm\) 0.18 \({}^{\text{ab}}\) & 0.51 \(\pm\) 0.03 \({}^{\text{bcd}}\) & 0.01 \(\pm\) 0.00 \({}^{\text{a}}\) & 0.69 \(\pm\) 0.06 \({}^{\text{ab}}\) & 0.22 \(\pm\) 0.08 \({}^{\text{ab}}\) \\ \hline LP5 & 26.33 \(\pm\) 0.60 \({}^{\text{c}}\) & 98.49 \(\pm\) 0.64 \({}^{\text{bc}}\) & 1.51 \(\pm\) 0.70 \({}^{\text{ab}}\) & 0.52 \(\pm\) 0.22 \({}^{\text{bcd}}\) & 0.19 \(\pm\) 0.12 \({}^{\text{a}}\) & 0.76 \(\pm\) 0.39 \({}^{\text{ab}}\) & 0.05 \(\pm\) 0.07 \({}^{\text{a}}\) \\ \hline LP10 & 26.12 \(\pm\) 0.91 \({}^{\text{bc}}\) & 97.34 \(\pm\) 1.09 \({}^{\text{a}}\) & 2.64 \(\pm\) 1.04 \({}^{\text{ad}}\) & 0.71 \(\pm\) 0.18 \({}^{\text{de}}\) & 0.11 \(\pm\) 0.06 \({}^{\text{a}}\) & 1.28 \(\pm\) 0.57 \({}^{\text{bc}}\) & 0.53 \(\pm\) 0.34 \({}^{\text{c}}\) \\ \hline LP15 & 28.20 \(\pm\) 0.61 \({}^{\text{d}}\) & 97.31 \(\pm\) 0.16 \({}^{\text{a}}\) & 2.69 \(\pm\) 0.16 \({}^{\text{d}}\) & 0.83 \(\pm\) 0.05 \({}^{\text{e}}\) & 0.13 \(\pm\) 0.18 \({}^{\text{a}}\) & 1.48 \(\pm\) 0.02 \({}^{\text{c}}\) & 0.26 \(\pm\) 0.01 \({}^{\text{ab}}\) \\ \hline \end{tabular}
\end{table} 
Table 3: Mean fiber diameter \(\pm\) SD in wool fibers dyed with cochineal and evaluation of the percentage of medullation by medulla type. percentage (TMED) (\(-0.87\)), indicating that a larger mean diameter is associated with lower total medullulation. TMED also showed a strong negative correlation with FMED (\(-0.94\)), discontinuous medulla (DMED) (\(-0.43\)), and CMED (\(-0.97\)), suggesting that higher total medullulation reduces the proportion of fibers with fragmented, discontinuous, and continuous medulla. In contrast, FMED had a strong positive correlation with DMED (0.47), CMED (0.9), and SMED (0.61), implying that a higher proportion of fibers with a fragmented medulla also increases those with discontinuous, continuous, and strongly medullulated fibers. DMED has strong positive correlations with CMED (0.42) and SMED (\(-0.055\)), indicating that a higher percentage of fibers with discontinuous medulla is associated with an increase in continuous and strongly medullulated fibers. Finally, CMED had a strong positive correlation with SMED (0.68), suggesting that a higher proportion of fibers with a continuous medulla also increased the proportion of strongly medullulated fibers.