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. 2017 Jan 26;12(1):e0170936. doi: 10.1371/journal.pone.0170936

Table 2. Model Parameters used in the model outlined in Fig 2 and simulated in Fig 3.

Reaction kon[a] koff kcat KD or KM Note
E+S = ES 1e7 3680 368 μM [b]
ES-> E+P 25.5 [b]
B+G = BG 1e7 0.4 40 nM [c]
BG+G = BGG 1e7 6 0.6 μM [d]
BGG-> BG+E 0.1 [d]
G+F = GF 1e7 60 6.0 μM [e]
F+BG = FBG 1e7 60 6.0 μM [e]
GF+BG = GFBG 1e7 2.5 0.25 μM [f]
G+FGB = GFBG 1e7 2.5 0.25 μM [f]
GFBG->E+FBG 1.8 [g]
E+F = EF 1e7 5 5 μM [h]
B+E = BE 1e8 0.01 0.1 nM [i]
F+BE = FBE 1e7 60 6.0 μM [e]
G+FBE = GFBE 1e7 0.5 50 nM [j]
GF+BE = GFBE 1e7 0.5 50 nM [j]
GFBE->E+FBE 1.8 [k]
BE+G = BEG 1e7 3 0.3 μM [l]
BEG->BE+E 1e7 0.1 [l]

Abbreviations used are: plasmin (E), S-2251 (S), pNA (P), SK (B), Pgn (B), Fgn (F).

[a] association rate constants approximated to 107 M-1s-1 at 37°C. Values for SK•Pgn complex formation in line kon values of around 106 M-1s-1 from Biacore measurements at 25°C in [5, 36] and higher estimates for SK•Pm formation in [13].

[b] See Table 1

[c] 40 nM KD is within the range in [5] or 6 nM from [13].

[d] Derived from fitting of Michaelis Menten curves without Fgn, SK•Pgn + Pgn KM = 0.6 μM, kcat = 0.05, This is lower than Boxrud and Bock [14] by ~ 7 fold for rSK-H46A as expected since rSK-M1GAS will be less effective without Fgn (KM was 0.27 μM and kcat 0.31 for Lys-Pgn in [14]). For reaction of SK•Pm we reduced KM by half to 0.3 μM, kept kcat same, so modest increase in activity similar to 1.5 fold improvement in [35].

[e] Upper limits of KD for Fgn Lys-Pgn binding 8.3 μM [37], or an estimate of 0.23 μM from [38].

[f] Starting estimate from Michaelis-Menten fits (as in [c]) at each Fgn concentration. Table 1 suggests Fgn can affect KM and kcat, but fits indicate more change to Vmax (and kcat) (see [e]).

[g] The kcat for this reaction accounts for most stimulation by Fgn. To achieve 30 fold stimulation of rate by Fgn kcat increased from 0.1 [d] to 1.8 s-1 (additional stimulation from small improvement in KM to 0.25 from 0.6 μM).

[h] Initial estimate based on based on value in [39], but that assumed simple competitive inhibition, which is not the case as seen in Table 1.

[i] This binding of Pm to SK for SK•Pm, tighter than KD for SK•Pgn, similar to biacore data around 0.5 nM for a number of complexes in [5] or 0.3 nM in [13] and is explained in part by increased kon e.g. [13].

[j] Increase in efficiency of SK•Pm over SK•Pgn due to KM only, in line with Table 1, which is improved from 0.6 μM to 50 nM i.e. 12-fold. This difference important for degree of curvature required to match shapes of curves in Fig 3.

[k] There is no change in kcat, 1.8 s-1, only change in KM for SK•Pm vs SK•Pgn.

[l] Small improvement without Fgn of SK•Pm vs SK•Pgn activity is due to decrease in KM (from 0.6 to 0.3 μM), in line with Table 1 data.