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. 2011 May 25;6(5):e19895. doi: 10.1371/journal.pone.0019895

Figure 5. Bifurcations for Model 1 with different parameters.

Figure 5

Calculated for Inline graphic pair of feedback strength Inline graphic and Inline graphic. KLK production rate is higher at the bottom right corner. (Top) Bifurcation patterns with colours corresponding to those in Fig. 4A. Stronger KLK activation results in more severe symptoms of irreversible bistability. (Middle) Inflammation threshold Inline graphic for bistability patterns; Inline graphic for monostability patterns. (Bottom) Range of bistability Inline graphic for reversible bistability; Inline graphic for other patterns. The inflammation is more persistent (Inline graphic is larger) with stronger KLK activation. A: Comparison for HC, AD-LEKTI, and AD-pH. AD conditions exhibit smaller Inline graphic and more severe symptoms than HC. B: Comparison for different degradation rates for KLK5 and KLK5* in HC with Inline graphic (nominal), Inline graphic and Inline graphic. Slower KLK5 degradation (smaller Inline graphic) results in the stronger KLK activity and shows similar effects as in AD-pH condition leading to more irreversible bistability patterns and lower threshold values. C: Comparison for different degradation rates for PAR2 and PAR2* in HC with Inline graphic (nominal) and Inline graphic. Slower PAR2 degradation (smaller Inline graphic) results in the stronger inflammation and shows similar effects as in AD-LEKTI condition leading to more irreversible bistability patterns and little changes in threshold values.