. Author manuscript; available in PMC: 2013 Sep 21.

Published in final edited form as: Phys Med Biol. 2012 Sep 5;57(18):5809–5821. doi: 10.1088/0031-9155/57/18/5809

Table 1.

Computer Simulation Results with Noisy Data (α = 0.4, and 100 noise realizations)

Parameters	True Value [Noiseless data results]	Proposed closed-form methods			Iterative nonlinear fitting
Parameters	True Value [Noiseless data results]	Function 1	Function 2	Function 3	Good Init. Cond. [0.1, 0.1, 0.1, 0.1]	Bad Init. Cond. [0.8, 0.8, 0.8, 0.8]
K₁ (min⁻¹)	0.4	0.40±0.020	0.40±0.022	0.38±0.019	0.40±0.024	0.33±0.159
k₂ (min⁻¹)	0.3	0.29±0.067	0.31±0.087	0.25±0.047	0.27±0428	−0.24±1.143
k₃ (min⁻¹)	0.2	0.18±0.073	0.20±0.098	0.16±0.045	0.10±0.968	−1.25±3.155
k₄ (min⁻¹)	0.1	0.09±0.021	0.09±0.025	0.10±0.012	0.10±0.034	−0.44±1.129