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. Author manuscript; available in PMC: 2019 Apr 24.
Published in final edited form as: ACS Nano. 2018 Mar 21;12(4):3804–3815. doi: 10.1021/acsnano.8b01016

Table 1.

Rate and equilibrium constants calculated by multivariate data fitting.

Constant DL-1-SO3 LD-1-SO3 DD-1-SO3

Kgs (mM−1) 1.31×101 2.19×101 4.52×101

cat (mM·min−1) 2.63×10−2 2.78×10−1 6.38×10−3
KM (mM) 20.3 31.1 6.58
ζ 0.96 1.13 1.98

kin (min−1) 5.06×10−2 5.06×10−2 5.06×10−2
kout (min−1) 0.79×10−2 0.79×10−2 0.79×10−2
δM 0.83 0. 83 0. 83
δC 15.7 15.7 15.7

kk0 (min−1) 2.11×10−3 2.97×10−3 6.29×10−3
σ (mM−1) 0.48 1.24 3.69
[GC]tr (mM) 2.99 2.29 1.30

Kgs: equilibrium constant for the gelation process; cat: catalytic rate constant; KM: Michaelis-Menten constant; ζ: gel-specific constant representing the average number of empty sites in the gel structure per molecule of hydrogelator available for the inclusion of one precursor; kin and kout: transport rate constants; δM: ratio of enzyme concentration in the culture medium to enzyme concentration used in the hydrolysis experiment; δC: ratio of enzyme concentration in the cell to enzyme concentration used in the hydrolysis experiment. [GC]tr (a threshold value), kk0 (a plateau value) and σ (slope) of the killing efficacy curve. Known parameters: kd: HeLa cell doubling rate constant which is 4.81×10−4 min−1; kg: gelation rate constant which is 105 min−1.