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Table 4 Amplitude, rate constant and half time for single-phase, first-order kinetics fitted to the decrease and increase in gas production

From: Enhanced biomethane production rate and yield from lignocellulosic ensiled forage ley by in situ anaerobic digestion treatment with endogenous cellulolytic enzymes

Process Equation A (mL/g VS) k (day−1) t ½ (day) R 2
1st phase decrease \(y = A \cdot {\text{e}}^{ - kx}\) 51.4 0.432 1.6 0.986
2nd phase increase \(y = A \cdot \left( {1 - {\text{e}}^{ - kx} } \right)\) 19.5 0.104 6.7 0.972
  1. Half time (t ½) was calculated for first-order kinetics using the relationship \(t_{{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-0pt} 2}}} = \frac{\ln 2}{k}\)