Table 1 Model functions and parameters
From: Three stepwise pH progressions in stratum corneum for homeostatic maintenance of the skin
Symbols | Explanation | Units |
|---|---|---|
\({pH}(x)\) | pH at height x (Fig. 6a) | - |
\({a}_{{{{{{\rm{KLK}}}}}}}\left({pH}(x)\right)\) | Relative catalytic activity of KLKs at each pH (\({pH}(x)\)) to that at an optimal pH of 7.8 | - |
\({a}_{{{{{{\rm{meso}}}}}}}\left({pH}(x)\right)\) | Relative catalytic activity of mesotrypsin at each pH (\({pH}(x)\)) to that at an optimal pH of 7.8 | - |
\({C}_{{{{{{\rm{meso}}}}}}}\) | Concentration of mesotrypsin in the SC | M |
\({C}_{{{{{{\rm{pKLK}}}}}}}^{{{{{{\rm{SG}}}}}}/{{{{{\rm{SC}}}}}}}\) | Concentration of pro-KLKs at x = 0 (SG/SC boundary) | M |
\({C}_{{{{{{\rm{LEKTI}}}}}}}^{{{{{{\rm{SG}}}}}}/{{{{{\rm{SC}}}}}}}\) | Concentration of LEKTI at x = 0 (SG/SC boundary) | M |
\({k}_{{{{{{\rm{auto}}}}}}}\) | Rate constant of pro-KLK autoactivation | M-1s-1 |
\({k}_{{{{{{\rm{meso}}}}}}}\) | Rate constant of pro-KLK activation via mesotrypsin | M-1s-1 |
\({k}_{{{{{{\rm{a}}}}}}}\left({pH}(x)\right)\) | Association rate constant of KLK and LEKTI to the KLK–LEKTI complex | M-1s-1 |
\({k}_{{{{{{\rm{d}}}}}}}\left({pH}(x)\right)\) | Dissociation rate constant of the KLK–LEKTI complex to KLK and LEKTI | s-1 |
\({k}_{{{{{\rm{deg}}}}}}\) | Elimination rate constant of LEKTI via mesotrypsin | M-1s-1 |
\(v\) | Transit rate of pro-KLKs, KLKs, LEKTI, and the KLK–LEKTI complex from x = 0 (SG/SC boundary) to x = 1 (SC surface) | s-1 |
