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mkin version used for fitting: Dummy 0.0 for testing
R version used for fitting: Dummy R version for testing
Date of fit: Dummy date for testing
Date of summary: Dummy date for testing
Equations:
d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
* parent
Model predictions using solution type analytical
Fitted with method using test 0 model solutions performed in test time 0 s
Error model:
NULL
Starting values for parameters to be optimised:
value type
parent_0 85.100000 state
k1 0.100000 deparm
k2 0.010000 deparm
g 0.500000 deparm
sigma 0.696237 error
Starting values for the transformed parameters actually optimised:
value lower upper
parent_0 85.100000 -Inf Inf
log_k1 -2.302585 -Inf Inf
log_k2 -4.605170 -Inf Inf
g_ilr 0.000000 -Inf Inf
sigma 0.696237 0 Inf
Fixed parameter values:
None
Optimised, transformed parameters with symmetric confidence intervals:
Estimate Std. Error Lower Upper
parent_0 85.0000 0.66620 83.1500 86.8500
log_k1 -0.7775 0.03380 -0.8713 -0.6836
log_k2 -4.0260 0.13100 -4.3890 -3.6620
g_ilr 1.2490 0.05811 1.0870 1.4100
sigma 0.6962 0.16410 0.2406 1.1520
Parameter correlation:
parent_0 log_k1 log_k2 g_ilr sigma
parent_0 1.000e+00 4.393e-01 8.805e-02 -3.176e-02 5.405e-07
log_k1 4.393e-01 1.000e+00 4.821e-01 -6.716e-01 4.395e-07
log_k2 8.805e-02 4.821e-01 1.000e+00 -7.532e-01 -1.151e-07
g_ilr -3.176e-02 -6.716e-01 -7.532e-01 1.000e+00 -2.142e-08
sigma 5.405e-07 4.395e-07 -1.151e-07 -2.142e-08 1.000e+00
Backtransformed parameters:
Confidence intervals for internally transformed parameters are asymmetric.
t-test (unrealistically) based on the assumption of normal distribution
for estimators of untransformed parameters.
Estimate t value Pr(>t) Lower Upper
parent_0 85.00000 127.600 1.131e-08 83.15000 86.85000
k1 0.45960 29.580 3.887e-06 0.41840 0.50480
k2 0.01785 7.636 7.901e-04 0.01241 0.02568
g 0.85390 83.310 6.221e-08 0.82310 0.88020
sigma 0.69620 4.243 6.618e-03 0.24060 1.15200
Chi2 error levels in percent:
err.min n.optim df
All data 2.661 4 5
parent 2.661 4 5
Estimated disappearance times:
DT50 DT90 DT50_k1 DT50_k2
parent 1.887 21.25 1.508 38.83
Data:
time variable observed predicted residual
0 parent 85.1 85.003 0.09726
1 parent 57.9 58.039 -0.13912
3 parent 29.9 30.054 -0.15351
7 parent 14.6 13.866 0.73388
14 parent 9.7 9.787 -0.08657
28 parent 6.6 7.532 -0.93205
63 parent 4.0 4.033 -0.03269
91 parent 3.9 2.447 1.45348
119 parent 0.6 1.484 -0.88424
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