Table 2. The fitted numerical values and 95% confidence intervals of the parameters in the model (2a)–(2d) for the cancer cells.

Parameter	Value and unit	95% CI	Role
k1	7.5 × 10−8 (cell × h)−1	[7.21 × 10−8–7.89 × 10−8]	conversion rate of Gln to NH4+
c1	1.9	[1.67–2.18]	efficacy of NH4+ production
k2	2.4 × 10−8 (cell × mM × h)−1	[2.35 × 10−8–2.41 × 10−8]	conversion rate of NH4+ to Gln
c2	0.15	[0.14–0.16]	efficacy of Gln production
h	5.3 × 10−7 mM × (cell × h)−1	[5.1 × 10−7–5.6 × 10−7]	natural production rate of NH4+
k3	2.6 × 10−10 (cell × h)−1	[1.92 × 10−10–3.37 × 10−10]	consumption rate of alternative energy
r1	5.6 × 10−2 h−1	[5.4 × 10−2–5.8 × 10−2]	maximal growth rate on Gln
K1	1.97 mM	[1.93–2.00]	half-maximal Gln concentration
d1	1.7 × 10−3 (mM × h)−1	[1.6 × 10−3–1.75 × 10−3]	NH4+-induced cell death rate
d2	1.1 × 10−2 h−1	[9.4 × 10−3–1.3 × 10−2]	background cell death rate