Flip Flop tutorial with inaccurate starting values

[Generated automatically as a Fitting summary]

Model Description

Name:

flip_flop_bad_pop

Title:

Flip Flop tutorial with inaccurate starting values

Author:

PoPy for PK/PD

Abstract:

One compartment model with a depot leading into a central compartment.
Note another interpretation of this is that the model is just over parametrised. Because here
the KE and V parameters act independently unlike the CL/V and V parametrisation.
Here initial values of KE, KA, V are close to the flipped values, so we get a bad fit in the false minima.
Keywords:

one compartment model; flip flop; dep_one_cmp_k; poor start values

Input Script:

flip_flop_bad_pop_fit.pyml

Diagram:

Comparison

Compare Main f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[KE]

0.4000

0.7720

0.3720

0.9300

f[V]

5.0000

1.3534

3.6466

0.7293

f[KA]

0.2000

0.0210

0.1790

0.8949

Compare Noise f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[PNOISE]

0.0500

0.0083

0.0417

0.8348

f[ANOISE]

0.1000

0.0543

0.0457

0.4571

Compare Variance f[X]

Variable Name

Starting Value

Fitted Value

Abs Change

Prop Change

f[KE_isv]

0.0200

0.1251

0.1051

5.2572

f[KE_isv;V_isv]

0.0000

-0.3020

0.3020

INF

f[KE_isv;KA_isv]

0.0000

-0.2594

0.2594

INF

f[V_isv;KE_isv]

0.0000

-0.3020

0.3020

INF

f[V_isv]

0.0200

0.9707

0.9507

47.5341

f[V_isv;KA_isv]

0.0000

0.8752

0.8752

INF

f[KA_isv;KE_isv]

0.0000

-0.2594

0.2594

INF

f[KA_isv;V_isv]

0.0000

0.8752

0.8752

INF

f[KA_isv]

0.0200

0.8327

0.8127

40.6361

Individual simulated (sim) plots

Alternatively see All simulated_sim graph plots

Population simulated (sim) plots

(No population graphs were requested.)

Outputs

Final objective value

-194.0802

which required 1.30 iterations and took 90.87 seconds

Fitted f[X] values (after fitting)

f[KE] = 0.7720
f[V] = 1.3534
f[KA] = 0.0210
f[PNOISE] = 0.0083
f[ANOISE] = 0.0543
f[KE_isv,V_isv,KA_isv] = [
    [ 0.1251, -0.3020, -0.2594 ],
    [ -0.3020, 0.9707, 0.8752 ],
    [ -0.2594, 0.8752, 0.8327 ],
]

Fitted parameter .csv files

Fixed Effects:

fx_params.csv (fit)

Random Effects:

rx_params.csv (fit)

Model params:

mx_params.csv (fit)

State values:

sx_params.csv (fit)

Predictions:

px_params.csv (fit)

Likelihoods:

lx_params.csv (fit)

Inputs

Input Data:

cx_obs_params.csv

Starting f[X] values (before fitting)

f[KE] = 0.4000
f[V] = 5.0000
f[KA] = 0.2000
f[PNOISE] = 0.0500
f[ANOISE] = 0.1000
f[KE_isv,V_isv,KA_isv] = [
    [ 0.0200, 0.0000, 0.0000 ],
    [ 0.0000, 0.0200, 0.0000 ],
    [ 0.0000, 0.0000, 0.0200 ],
]