{
"cells": [
{
"cell_type": "markdown",
"id": "d9b19868",
"metadata": {},
"source": [
"## Profile likelihood\n",
"To perform a basic profile likelihood analysis of a fit obtained, basico implements the [Schaber method](https://www.sciencedirect.com/science/article/pii/S0303264712001670) that in turn fixes each optimization parameter, while reoptimizing the remaining parameters. This scan is performed in both directions. Ideally, what we would want to see for identified parameters, is that the result gets worse, as we go away from the found solution. If we find a flat line, that means the parameter is not identifiable, if we find a curve that is flat on one side, we can only identify the corresponding bound. \n",
"\n",
"Since this could potentially take quite some time basico breaks this task into three steps: \n",
"\n",
" * generating different copasi models for each of the scans. (these files could then be moved to a cluster environment for parallel computation)\n",
" * running the the scans (here basico uses the python mulitiprocessing library), which places reports into a specified directory\n",
" * plotting the result, by specifying the directory where the reports have been stashed. \n",
" \n",
"Let's try this on an example model."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "83000859",
"metadata": {},
"outputs": [],
"source": [
"from basico import * \n",
"from basico.task_profile_likelihood import prepare_files, process_dir, plot_data"
]
},
{
"cell_type": "markdown",
"id": "4f524516",
"metadata": {},
"source": [
"### Preparing files\n",
"The first step is to prepare the files, here we load an example model, run the parameter estimation"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "433fc48f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" lower \n",
" upper \n",
" sol \n",
" affected \n",
" \n",
" \n",
" name \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" (R1).k2 \n",
" 1e-6 \n",
" 1e6 \n",
" 26.353601 \n",
" [] \n",
" \n",
" \n",
" (R2).k1 \n",
" 1e-6 \n",
" 1e6 \n",
" 46.699200 \n",
" [] \n",
" \n",
" \n",
" Values[offset] \n",
" -0.2 \n",
" 0.4 \n",
" 0.046461 \n",
" [Experiment_1] \n",
" \n",
" \n",
" Values[offset] \n",
" -0.2 \n",
" 0.4 \n",
" 0.077161 \n",
" [Experiment_3] \n",
" \n",
" \n",
" Values[offset] \n",
" -0.2 \n",
" 0.4 \n",
" -0.049828 \n",
" [Experiment] \n",
" \n",
" \n",
" Values[offset] \n",
" -0.2 \n",
" 0.4 \n",
" 0.030610 \n",
" [Experiment_4] \n",
" \n",
" \n",
" Values[offset] \n",
" -0.2 \n",
" 0.4 \n",
" 0.058074 \n",
" [Experiment_2] \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" lower upper sol affected\n",
"name \n",
"(R1).k2 1e-6 1e6 26.353601 []\n",
"(R2).k1 1e-6 1e6 46.699200 []\n",
"Values[offset] -0.2 0.4 0.046461 [Experiment_1]\n",
"Values[offset] -0.2 0.4 0.077161 [Experiment_3]\n",
"Values[offset] -0.2 0.4 -0.049828 [Experiment]\n",
"Values[offset] -0.2 0.4 0.030610 [Experiment_4]\n",
"Values[offset] -0.2 0.4 0.058074 [Experiment_2]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example_model = load_example('LM')\n",
"run_parameter_estimation(method=PE.HOOKE_JEEVES, update_model=True)"
]
},
{
"cell_type": "markdown",
"id": "fdb448c9",
"metadata": {},
"source": [
"at this point we also want to make sure, that we have reached a good fit, so we look at the fit statistic:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "5895a8f5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'obj': 12.501488024131111,\n",
" 'rms': 0.15812329381929224,\n",
" 'sd': 0.15924191621103437,\n",
" 'f_evals': 3008,\n",
" 'failed_evals_exception': 0,\n",
" 'failed_evals_nan': 0,\n",
" 'cpu_time': 5.0625,\n",
" 'data_points': 500,\n",
" 'valid_data_points': 500,\n",
" 'evals_per_sec': 0.0016830119680851063}"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"get_fit_statistic()"
]
},
{
"cell_type": "markdown",
"id": "cd53c24d",
"metadata": {},
"source": [
"now we create a temporary directory, and save the file and experimental data into it. After that i unload the model."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7c017ca1",
"metadata": {},
"outputs": [],
"source": [
"from tempfile import mkdtemp\n",
"data_dir = mkdtemp()\n",
"original_model = os.path.join(data_dir, 'original.cps')\n",
"save_model(original_model)\n",
"remove_datamodel(example_model)"
]
},
{
"cell_type": "markdown",
"id": "0278a157",
"metadata": {},
"source": [
"the code has just been ported from an earlier version, so lets debug it for now"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b3ddde14",
"metadata": {},
"outputs": [],
"source": [
"#import logging\n",
"#logging.basicConfig()\n",
"#logging.getLogger().setLevel(logging.DEBUG)"
]
},
{
"cell_type": "markdown",
"id": "96097155",
"metadata": {},
"source": [
"the data will be stored in those files: "
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "9111a934",
"metadata": {},
"outputs": [],
"source": [
"#print(data_dir)\n",
"#print(original_model)"
]
},
{
"cell_type": "markdown",
"id": "d17d22c3",
"metadata": {},
"source": [
"now we go ahead and prepare all the files, this is done by the `prepare_files` function that accepts the following arguments: \n",
"\n",
"* `filename`: the template file with the fit we want to analyze\n",
"* `data_dir`: the directory in which to store the files in\n",
"\n",
"the remaining parameters are optional: \n",
"\n",
"* `iterations=50`: if not specified hooks & Jeeves / Levenberg Marquardt will perform `50` iterations\n",
"* `scan_interval=40`: if not specified 40 scan intervals will be taken (40 in each direction!)\n",
"* `lower_adjustment='-50%'`: the multiplier for the lower bound of the scan. By default the interval will be -50% of the found parmeter value. \n",
"* `upper_adjustment='+50%'`: the multiplier for the upper bound of the scan, defaults to '+50%' found\n",
"* `modulation=0.01`: modulation parameter for Levenberg Marquardt\n",
"* `tolerance=1e-06`: tolerance for the optimization method\n",
"* `disable_plots=True`: if true, other plots in the file will be removed\n",
"* `disable_tasks=True`: if true, other tasks in the file will be deleted\n",
"* `use_hooke=False`: if true, use hooks & jeaves otherwise Levenberg Marquadt\n",
"* `prefix=\"out_\"`: the prefix for each file generated.\n",
"\n",
"For this example we just do a scan of 8 values in each direction for 20 iterations: "
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "b35d14d2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'num_params': 7,\n",
" 'num_data': 500,\n",
" 'obj': 12.501488024131111,\n",
" 'param_sds': {'(R1).k2': 5.433042366390387,\n",
" '(R2).k1': 0.5087112193172452,\n",
" 'Values[offset].InitialValue': 0.01143802470807778}}"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prepare_files(original_model, scan_interval=8, iterations=20, data_dir=data_dir)"
]
},
{
"cell_type": "markdown",
"id": "e73fff7f",
"metadata": {},
"source": [
"### Processing the files: \n",
"Here we use the python multiprocessing pool, to launch `CopasiSE` to process all the files we have generated in the data directory we process 4 files at the same time, but you can supply a `pool_size` parameter to change that. This step can be skipped, if you copy the files to a cluster environment and run them there. \n",
"\n",
"To specify a specific CopasiSE version to use you can pass it along the module's `COPASI_SE` field. For example like so: \n",
"\n",
"`basico.task_profile_likelihood.COPASI_SE = '/opt/COPASI/COPASI-4.38.268-Linux-64bit/bin/CopasiSE'`\n",
"\n",
"alternatively, `process_dir` also accepts the following named arguments: \n",
"\n",
"* `copasi_se`: if you dont want to change the global default for CopasiSE, but just pass it along here\n",
"* `max_time`: normally, we'd let the model run to completion, but if you specify a max time in seconds, then the computation will be stopped after that time. \n",
"\n",
"so lets runt the files we have generated above, and restrict each run to 10 seconds: "
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "de7a3e8e",
"metadata": {},
"outputs": [],
"source": [
"process_dir(data_dir, max_time=10)"
]
},
{
"cell_type": "markdown",
"id": "b3798851",
"metadata": {},
"source": [
"### Looking at the results\n",
"The `plot_data` function reads all the report files from the `data_dir`, and combines the scans from both directions to one plot. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3332225b",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plots = plot_data(data_dir)"
]
},
{
"cell_type": "markdown",
"id": "da082380",
"metadata": {},
"source": [
"and finally, let us remove the temporary files: "
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "82f3e0e4",
"metadata": {},
"outputs": [],
"source": [
"#import shutil\n",
"#shutil.rmtree(data_dir, ignore_errors=True)"
]
},
{
"cell_type": "markdown",
"id": "74749347",
"metadata": {},
"source": [
"### Everything together\n",
"Lets use a second example, this time we recreate the model from Schabers publication from scratch, and then run the parameter estimation using a convenience method: "
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "7783b59c",
"metadata": {},
"outputs": [],
"source": [
"from basico import * \n",
"from basico.task_profile_likelihood import get_profiles_for_model"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "cbf441ba",
"metadata": {},
"outputs": [],
"source": [
"new_model(name='Schaber Example', notes=\"\"\"\n",
"The example from the supplement, originally described in\n",
"\n",
"Schaber, J. and Klipp, E. (2011) Model-based inference of biochemical parameters and \n",
"dynamic properties of microbial signal transduction networks, Curr Opin Biotechnol, 22, 109-\n",
"116 (https://doi.org/10.1016/j.copbio.2010.09.014)\n",
"\n",
"\"\"\");"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "817b8108",
"metadata": {},
"outputs": [],
"source": [
"add_function('mod. MA', \n",
" 'k * S * T', \n",
" 'irreversible', \n",
" mapping={'S': 'modifier', 'T': 'substrate'}\n",
");"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "0f6726e1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" scheme \n",
" function \n",
" mapping \n",
" \n",
" \n",
" name \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" v1 \n",
" T -> Tp; S \n",
" mod. MA \n",
" {'k': 0.1, 'S': 'S', 'T': 'T'} \n",
" \n",
" \n",
" v2 \n",
" Tp -> T \n",
" Mass action (irreversible) \n",
" {'k1': 0.1, 'substrate': 'Tp'} \n",
" \n",
" \n",
" decay \n",
" S -> \n",
" Mass action (irreversible) \n",
" {'k1': 0.5, 'substrate': 'S'} \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" scheme function mapping\n",
"name \n",
"v1 T -> Tp; S mod. MA {'k': 0.1, 'S': 'S', 'T': 'T'}\n",
"v2 Tp -> T Mass action (irreversible) {'k1': 0.1, 'substrate': 'Tp'}\n",
"decay S -> Mass action (irreversible) {'k1': 0.5, 'substrate': 'S'}"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"add_reaction('v1', 'T -> Tp; S', function='mod. MA')\n",
"add_reaction('v2', 'Tp -> T')\n",
"add_reaction('decay', 'S ->', mapping={'k1': 0.5})\n",
"get_reactions()[['scheme', 'function', 'mapping']]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "bdfe62a6",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" initial_concentration \n",
" \n",
" \n",
" name \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" S \n",
" 1.0 \n",
" \n",
" \n",
" T \n",
" 1.0 \n",
" \n",
" \n",
" Tp \n",
" 0.0 \n",
" \n",
" \n",
" TpFit \n",
" 0.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" initial_concentration\n",
"name \n",
"S 1.0\n",
"T 1.0\n",
"Tp 0.0\n",
"TpFit 0.0"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"set_species('Tp', initial_concentration=0)\n",
"# observable\n",
"add_species('TpFit', status='assignment', expression='{[Tp]}/0.5')\n",
"get_species()[['initial_concentration']]"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "efd5a739",
"metadata": {},
"outputs": [],
"source": [
"add_experiment('Data set 1', pd.DataFrame(data = {\n",
" 'Time': [1, 2, 4, 6], \n",
" '[TpFit]': [1, 0.88, 0.39, 0.22],\n",
" #'sd': [0.09, 0.09, 0.09, 0.09]\n",
"}\n",
"));"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "5b168d8b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" sol \n",
" \n",
" \n",
" name \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" (v1).k \n",
" 2.267945 \n",
" \n",
" \n",
" (v2).k1 \n",
" 1.425208 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sol\n",
"name \n",
"(v1).k 2.267945\n",
"(v2).k1 1.425208"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"set_fit_parameters([\n",
" {'name': '(v1).k', 'lower': 0, 'upper': 100},\n",
" {'name': '(v2).k1', 'lower': 0, 'upper': 100},\n",
"])\n",
"\n",
"sol = run_parameter_estimation(method=PE.HOOKE_JEEVES, update_model=True)\n",
"sol[['sol']]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "73970908",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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LLz5m3xdffMGCBQt48sknASgtLWX37t3ExMRw6623snbtWmw2G1u3bgVg0KBBTJw4kYqKCi6//PImJYKrr74am81GUVERS5Ys4eqrr67dV1ZWBsBPP/3E+++/D8ANN9zAfffd54xL10TgDB+uySExIpD+blquwcfmxZ/P70ZKXBjTF6Zz/awVPPL73gzrGmF1aKoF1LcOhrdNyMkvbZFE0JJlqEePHs0999zDd999d0wLwxjD+++/T3Jy8jHHT5s2jejoaNatW0d1dTX+/v4ADB8+nO+//55PP/2UCRMmcNddd3HjjTceE3tp6bHTtIOC7KsLVldX065duwZLb7ji+rVr6BRtzy1ifXYBVwyIcfs66ef17MCbkwcRHerP7fPW8eL/dmppaw9wonUwWkJLlqGeOHEiDz300DEL2QNceOGFPPPMM9SU5FmzZg0A+fn5dOrUCS8vL+bMmUNVlX2W3a5du4iOjmbKlClMnjyZ1avty7FHR0eTnp5OdXX1Maug1RUaGkpSUhLvvvsuYE9C69atA2DYsGHMnz8foFnLbzZEE8Ep+nBNDj424ZKU+stBu5uE8EBemziQS1I68uL3O7lj/nryS0695rtqvZqyDoYrtWQZ6ri4uNp+/rr+/ve/U1FRQUpKCr179+bvf/87ALfccguvv/46/fr1IyMjo/Zb/XfffUe/fv3o378/b7/9NnfccQdgH7sYNWoUZ5xxxgn7+OfOncvs2bPp168fvXv3rh2c/u9//8vMmTPp27cve/Y4b/kWLTp3CkorqrjwPz8xrEsEj17R2+pwWpQxhvdX5/Cvz7cSHerHv6/uS/eOuk5yW9GconN5xeXk5JfWroh3KrQMtWtp0bkW9PPOPApLK7m0n2e0BuoSEa4aGMvL4wdQUWWY8OoqFm04+ZkkVkxJVM3TPsiX3jGhTmkJ1C1D3RJqppJqGer66WDxKfh+6wGC/WykJba3OhTLpMSFMXfyIO57fyMPfLSZTTkF3Pm7rvjYGv/P9tnGfTy8MAMfm1BRZXjo0h4Nrrim3Et8fDxZWVmNHpeYmOiU1oCnL07fGE2NzVRtDD9sO8TQ0yKa9KHnziKCfXl+XCrXD4ln3vJsbpm7lsONfMOvOyWxqKyKsspqpi/M0JZBC2pr3cKqaZrz9+rZn2CnIH1vIQeLyjmru06hBPsU03su6MY/LuvFxj0FjH15BZtzCho8vmZKYl01UxKV6/n7+3Po0CFNBm7GGMOhQ4dqp7E2lXYNNdP3Ww/iJXBmV/cedDpZl6R05LSoIO5+dz0TX1vNA5ckM6rfb2dHWD0l0dPFxcWRnZ3NgQNaZdbd+Pv7ExcXd1Kv0UTQTN9vPUhKXBjtAt2npISz9OwUwtxJ9nGDBxekk76vkD+f3/WY1dpqpiROX5iBt02odIwRtNSURE/n4+NDUlLbWDNDuZ4mgmbYl1/Klv1F3H5eF6tDabXaB/kyc2wq//lqO/OWZ7M9t5jHruxN+8BfP+hH9unIkKRwp01JVEo1j44RNMMP2+z1zId3026hE/GxeXHvhd2ZPron67LyuWH2SrbuLzrmGGdOSVRKNY8mgmb439aDxLUPIClSa/Q3xaX9OjnuN6hmwqsr+XJzrtUhKaXq0ERwko6WV7IiM4/h3SPdvraQM/WJDWXu5EF0jw7mvvc3MvPbX7ROkVKthCaCk7Rmdz4VVYYztfLmSYsM9uOlGwZweWonZv+4i7ve3kBR3ZKWSilLaCI4Seuy8rGJkBIXanUobZKvtxd/H9WD+0Z256fthxj/ykp2H2p4xSmllOtpIjhJa7OP0C06mEBfnXDVXCLCtYPieH5cKnnFFdzwykqW/HKo8RcqpVxCE8FJqKiqZmN2AaluugBNS0tLbM+bk9Po6FjfYM7S3Xqnq1IW0ERwErbuL6K0spp+mgicJqZdAK/dNJBze0Qx46vtPPhxOmWVVVaHpZRHcWkiEJGRIrJFRLaLyP317E8QkW9FZI2IrBeRi+s7T2uxNisfQFsEThbga+PxK/tw89lJfLphH5NfX01uQZnVYSnlMVyWCETEBswELgJ6AWNEpNdxhz0AvGOM6Q9cBzznqnicYV3WETqG+REdqvVwnE1EmDI8iaeu6cvOg0cZN3sF67PzrQ5LKY/gyhbBYGC7MWaHMaYcmA9cdtwxBqiZfhMG5LgwnlNijGFtVj6pce2sDsWtjUiO4rWbBuLv48WUN1azYN1eq0NSyu25MhHEAnVXnsh2bKtrGjBORLKBRcBtLoznlOQcKeVgUTmpCdot5GpdOwQzZ9IgBiS0Y9qCdJ5YvJXK6mqrw1LKbVk9WDwGeM0YEwdcDMwRkd/EJCJTRWSliKy0qmxu7fhAnCaClhAW4MMz1/erXezm1rfWceRohdVhKeWWXJkI9gDxdZ7HObbVNQl4B8AYsxTwB35Tyc0Y85IxJs0YkxYVFeWicE9sXXY+wX42unQItuT9PZG3l32xm2mje7Jm9xFufGUF23OLGn+hUuqkuDIRrAC6iUiSiPhiHwxecNwxu4HzAESkJ/ZE0CpXylibdYQ+sWHYvLS+UEsb3a8Ts24cQGlFNeNfWcU3Ga3yn4hSbZbLEoExphK4FVgMpGOfHbRJRB4WkdGOw+4GpojIOmAeMMG0wjuKCksr+CW3WKeNWiglLoy5kwfRJSqIe97dwIv/26lF65RyEpfWSTDGLMI+CFx324N1Hm8GhrkyBmfYnFOIwf5hpKwTFeLHrPH9efTTLbz4/U627i/i4ct6EuSn5T6UOhVWDxa3Cdsc/dLJ0To+YDU/bxvTRvfk7gu68f3Wg0x4dRVZh7VonVKnQhNBE2zbX0RksK+uotVKiAhjh8Tz7Nh+HCwq44bZK1mqReuUajZNBE2wLbeYrjpbqNUZkhTOnEmD6BDqx23z1vGGFq1Tqlk0ETSisrqaHQeK6abdQq1SXPtfi9b956vtPPDRZkoqtGidUidDE0Ejdh8qobyqmm5RQVaHohoQ6OvN41f24dZzTuPzjfuZ9Noqco6UWB2WUm2GJoJG1NzApC2C1k1EmHhmIv+9LoXsvFLGzV7Jisw8q8NSqk3QRNCIbblF2ERIitQWQVtwZrdI5kxKo32gD7e8uZa3fs7ScQOlGqGJoBHbc4vpHBGIr7f+qtqKzhGBvD4xjbO6RfDkF9t48ON0SnXcQKkG6adbI7blFtEtWlsDbU2wnzdPXtOXm89OYtGGfUx8bbWOGyjVAE0EJ1BUVknOkVK66dTRNsnLsdjNjGtTyM47yriXV7J852Grw1Kq1dFEcAK/5BYD6D0Ebdzw7pHMmTSI8CBfbpm7ljeX6f0GStWlieAEtumMIbdhHzcYyIjkKJ76cjt/+3ATJeU6bqAUaCI4oW37iwj286ZjqJ/VoSgnCPLz5omr7PcbfLEpl/GvrGS31ilSShPBiWzLLaJrhyBEdA0Cd1Fzv8Gz1/fjQFEZ415eyQ/bDlodllKW0kTQAGMM23OLtFvITQ3tEsGbkwYR286fO+av54X/7dD1DZTH0kTQgL35pRSVVemMITcW2z6AV28ayKUpHXnp+0zunL+eghJdF1l5Hk0EDdhxoGbGkN5D4M78fezrG/zt4mSW7TjMuNkr2LKv0OqwlGpRmggakJVnv/moc3igxZEoVxMRrhoYy8vjB1BeaZjw6ioWrNtrdVhKtRhNBA3IOlxCkK+NdoE+VoeiWkhKXBhvTRlESlwY0xak8/8+zaCsUqeYKveniaAB2XklxLUP0BlDHiY8yJeZY/tx0xmd+WB1DpO0NIXyAJoIGpB1uIT48ACrw1AW8Pby4rbzuvDUNX3ZfbiEsS+v4KftuhSmcl+aCOpRVW3Yc8TeIlCea0RyFHMnpxEd6s/t89bx/Hc7qKrWKabK/WgiqMf+glIqq40mAkV8eCCv3TSQS/t1YtYPmfzprbUcLi63OiylnEoTQT1qZgzF64whxa9TTB+8tAfrsvIZM2s5a3YfsTospZxGE0E9sh2JQFsEqq7LU2N47aaB+PvYmPrGGt5YqlVMlXvQRFCPrMMl+Nq8iNZic+o4yR1DeHPSIEYkR/Kfr7Zz1zsb9G5k1eZpIqhHdl4JMe388dKpo6oeIf7e/OuqPtx7YTd+2n6IMbNWsHFPgdVhKdVsmgjqkZ1XQpxOHVUnICKMGRzPKxMGAjDxtVXM/TlLu4pUm6SJ4DjGGPs9BDo+oJqgT2wo86YMYljXCP79xTbueVe7ilTbo4ngOIeLKyipqNJEoJosNMCHp67py13nd+WHbfauog178q0OS6kmc2kiEJGRIrJFRLaLyP0NHHONiGwWkU0i8pYr42kKnTGkmkNEGHd6ArMnDABg0murmbN0t65xoNoElyUCEbEBM4GLgF7AGBHpddwx3YC/AsOMMb2BO10VT1NlOZYu1HsIVHP0jQ1j3pRBDO8eyYyvtnPn/PXk6Q1oqpVzZYtgMLDdGLPDGFMOzAcuO+6YKcBMY0wegDEm14XxNElWXgleAjHt/K0ORbVRoQE+PHFVH+6/qDs/7zzMdbOWszIzz+qwlGqQKxNBLJBV53m2Y1td3YHuIvKTiCwTkZH1nUhEporIShFZeeDAAReF6wgyr4SOYf742HT4RDWfiHBNWhxvTEwj0MebP8xZw/Pf7aCyutrq0JT6Das/7byBbsAIYAwwS0TaHX+QMeYlY0yaMSYtKirKpQFl5WmxOeU8yR1DmDsljVH9OjLrh0ymvrGGvfmlVoel1DFcmQj2APF1nsc5ttWVDSwwxlQYY3YCW7EnBstkayJQThbo68300b34f5f3Yuv+Iq57aTlfp1veC6pULVcmghVANxFJEhFf4DpgwXHHfIS9NYCIRGLvKtrhwphOqLC0kiNHK3TqqHKJi/t25K0pg0gID+De9zby/z7NoKRCV0BT1nNZIjDGVAK3AouBdOAdY8wmEXlYREY7DlsMHBKRzcC3wL3GGMtWANGpo8rVEsIDeWXCQCackcCHq3MYO2sFGXsLrQ5LeTjvE+0UkfAmnKPaGHOkvh3GmEXAouO2PVjnsQHucvxYbo8mAtUCfGxe3H5eV4acFs6DH2/mxldWctu5XRh7erzWt1KWOGEiAHIcPyf612kDEpwWkYX2F5YB0DFMp44q1xuSFM7bU4fwj0/SmfHVdpb8cojpo3vRQaveqhbWWNdQujHmNGNMUkM/gNss5ppbUIqftxeh/o3lR6Wco12gD09e3Zf/uySZddn5XPvSzzqQrFpcY4lgaBPO0ZRj2oTcwjI6hPoh2jxXLUhEuHJALG9NHkRMO/tA8vSF6RSXVVodmvIQJ0wExphSABGZc/y+mm01x7iD/QVldAjRZrmyRmJkEK/dNJCJwzqzcN1exsxazrosLV6nXK+ps4Z6133iqCM00PnhWCu3UBOBspaPzYtbz+3CrBsHUG1g0uurmPntL1RU6R3JynVOmAhE5K8iUgikiEiB46cQyAU+bpEIW0i1MRzQRKBaif4J7Zg/dTCjUjox+8ddjH9lFTsOFFsdlnJTjXUN/dMYEwI8YYwJdfyEGGMijDF/baEYW8SRoxVUVBldp1i1GsF+3kwb3ZN/X92XfQWlXD9rBW8u09LWyvkau4+ghzEmA3hXRAYcv98Ys9plkbWw3AL71NEobRGoVuacHlGkxIXxj08yeOrL7fxv60Gmj+5JTDu930U5R2PzJO8CpgL/rmefAc51ekQWqbmHIDpU7yFQrU9EsC8zru3LgnV7eXLxNq55cTl3X9CNy1M76Sw3dcoaSwSfAxhjzhGRcGPM4RaIyRIHHIlAxwhUayUiXJYaw6DE9kxfmME/Psngm4wD/P2SHnoTmjoljc0aeqDO469cGYjV9heUYhMhItjX6lCUOqGYdgE8Py6V+0Z2Z9WuPK564WcWrtuL0bED1UyNJQJp4LHbyS0sIyLYF5uXW1+mchNeIlw7KI75UwfTtUMQDy1I586319e2bJU6GY0lggAR6S8iAwF/x+MBNT8tEWBLyS0o0+a1anMSwgOZdeMA7r6gGyt2autANU9jYwR7gaccj/fVeQxuNlicW1hGUmSQ1WEoddJsXsLYIfGc1TWCaQvTeWhBOl9szuX/Lk7WAoqqSU6YCIwx57RUIFbLLSjj9NOaUnVbqdYpISKQl8cP4O0V2TzzzS9c/cLP3Hl+V67oH6Mzi9QJNanEhIj4i8hdIvKBiLwvIneKiNt81Sgqq6S4vErvIVBtnpcIYwbH884fhtAzJoRHPt3CH95cQ9bho1aHplqxptYaegN7vaFngGcdj39TiK6tqrmZLFoTgXITce0DeHFcfx64JJmMvYVc++Jy5izdTWW11ixSv9XUwvt9jDG96jz/1rG8pFuovYdAB4uVGxERrhgQy5ldI3l00RZmfLWdxZv28+CoHnTvGGJ1eKoVaWqLYLWInF7zRESGACtdE1LL2683kyk31iHUjxnX9uWxK3qzr6CUsS+v5Jmvf6G0osrq0FQr0dQWwUBgiYjsdjxPALaIyAbsSw+nuCS6FqJ1hpS7ExEu6B3NkNPCmfHldl5dsosv0+0zi4boJAmP11jROW9jTCUwsoXisURuYRntAnzw97FZHYpSLhUW4MO00T25uG80jyzaws1z1zIqpSN//l1X2gfpXfWeqrEWwXJggDFmV0sEY5X9BaXaGlAeZXBSOG9PHczsHzN5fclufth2kDt/15XR/bSInSc6mRITbutAYZmuQ6A8jr+PjT+d04X5UweTFBnE9IUZTHljjS6A44EaaxFEichdDe00xjzV0L62ZH9BGT07hVodhlKWOC0qiJfHD2DB2r389+vtXPfScm44PYHJwxMJ0O5Sj9BYIrABwbhxy6C8spq8oxXaIlAezUuEy/vHcHZyJP/96hdeXbKLzzft594Lu3F290jtLnJzjSWCfcaYh1skEovoOgRK/ap9oC/TRvfkstRO/HPRFu56ZwNndo3g3gu7ER8eaHV4ykUaGyNw+xKGuXozmVK/0T+hHXOnDOKu87uyevcRrn5hOc9/t4MSvffALTWWCBrtIBSRNr1ucc09BNoiUOpYPjYvxp2ewAc3n865PaKY9UMmVz3/M99mHNAy126msa6hbiKy/gT7BQhzYjwt7lBxOYCuTKZUAzqE+vHoFb25YkAMj3++lbvf3cDpp4Vz74XdtHS7m2gsEfRswjnadFsx72g5XmK/0UYp1bC0xPa8NWUQ767cwwv/28m1Ly7nusFxTDkriRD/phYpUK3RCbuGjDG7mvCT3dDrRWSkiGwRke0icv8JjrtSRIyIpJ3KxTTH4eIK2gX64KWzIpRqlI/Ni+uHxPPRn05nVEpH5i7L4vKZS/lwTQ5V1dpd1FY1tejcSRMRGzATuAjoBYwRkV71HBcC3AH87KpYTuTI0XLaB2q3kFInIzzIlwcv7cmcyWl0jgjkH59kcMPsFazalWd1aKoZXJYIgMHAdmPMDmNMOTAfuKye4/4BPA6UujCWBuUdraB9kHYLKVUjr7icTTkF5DnGz06kV6dQZo8fwD9/35sjRyuY8sYa7n13A9l5JS0QqXIWV3bsxQJZdZ5nA0PqHiAiA4B4Y8ynInJvQycSkanAVICEhASnBnm4uJxkrc2uFACfbdzHwwsz8LEJFVWGhy7twcg+HU/4GhHhwj7RDE+O5M2lu3l1yS6+33aQMYPjmXRmoo4ftAGubBGckIh4AU8Bdzd2rDHmJWNMmjEmLSoqyqlx5B2tIFyrLipFXnE5Dy/MoKyymqKyKsoqq5m+MKNJLQOAAB8bU4Yn8dEtQxnZO5o5S3dz2cylvL0im4oqXRmtNXNlItgDxNd5HufYViME6AN8JyKZwOnAgpYcMK6oqqawtJL2gdo1pFROfik+tmMnTXjbhJz8k+u17RDqx/TLejF38iC6dgji8c+3cs0Ly/X+g1bMlYlgBfb7EJJExBe4DlhQs9MYk2+MiTTGJBpjEoFlwGhjTIutfHbkaAWAtgiUAmLC/KmoOvaDurLKEBPm36zz9egUwovj+jPj2hS8vODudzcw6fXVrM/Od0a4yolclggcC9rcCiwG0oF3jDGbRORhERntqvc9GTVNXm0RKAXtg3x56NIe+Hl7EeRnw8/bi4cu7XFKC9aICGd3j+TtPwzm/y5JJutwCRNeXcU9724g86CWu24tXDqKY4xZBCw6btuDDRw7wpWx1Oewo0XQThOBUgCM7NORIUnh5OSXEhPm77RVy7y9vLhyQCwX9YnmzWVZvLF0N//bcpDL+nfiD8OTdGEoi3n0cH5Ni0C7hpT6VfsgX5ctWxno683U4UlcNTCWWT9k8v6qPSxav4/rBscx4YzOhOod/pawbNZQa1DTItAbypRqWeFBvtw3sjsf3HI65/SI4vUluxn1zFJm/5jJ0fJKq8PzOB6dCPKKy7GJEBrg0Q0jpSwT1z6AR37fm3lTBzMgoR0zv93B6GeXMm95FmWVbbqMWZvi2YngaLnWGVKqFegeHcx/rkvh1ZsGclpkEE8s3sblM5fx3qo9eg9CC/DsRFCs5SWUak36xYXx0o0DeGFcKtGhfjy6aAu/f24ZH63J0YTgQp6dCI5W6PiAUq3Q4KRwXp0wkKevS6FdgA8Pf5LBlc8v4+O1mhBcwaMTweGj5XoPgVKtlIhwZrdI5kxKY8a1KQT7eTN9oT0hfKQJwak8OhHkFWudIaVau5qb0uZOHsSMa/oS7OfDwwsz+P1zy3h/9R7KKzUhnCqPTQTlldUUlWmdIaXaChHh7OQo5k5O4z/XphAe6Msjn27hsplLmb88i9IKnWXUXB47b7KmzpCrbpxRSrmGiDC8eyRndYtg2Y7DzPohk38t3sbLP2YybkgCV6XFEuznsR9tzeKxv628o1pnSKm2TEQY2iWCoV0iWLUrj9k/7uLpb37h1SW7uCYtljGD47Xrt4k8NhEc1vISSrmNgZ3bM7BzezbnFPDqT7t45cddzF2WxejUTtxwegKx7QOsDrFV89hEkFdbXkJbBEq5i14xoTxxdV92HizmjaW7+WB1Du+t2sP5vTowfmhnenTS1Qjr47GJoKZFoGMESrmfpMggHrq0JzeffRpvLc/i/VV7WLwpl0GJ7blxaAJndAlHtKJALY9NBHlHK/D2El1PVSk31iHUjzt/15VJZ3bmg9U5zFuezW3z1tElKoixp8dzUZ9o/LxtVodpOY+dPnpE6wwp5TFC/H0Yf0ZnFt42lIdH98TmJTy8MINLnl7Ci//byaGipq3L7K489uvw4WItL6GUp/GxeTGqXycuSenIisw83lyWxYvf7+SVnzIZ2Tua64fEk9zR88YRPDYR5B0t14JzSnkoEWFwUjiDk8LJPFjM/BXZLFi3l4Xr99E/IYwxg+IZ0SMSby/P6DTx2ERwuLiCPjE6pUwpT5cYGcT9FyVzy4jTWLBuL2+vyOYv728kOtSPKwfE8vv+MUQEu3fvgccmgiPaIlBK1REa4MO40xMYMzieH7cd5O2V2Tz33Q5e+n4n5/fqwNVpsfSLC3PL2UYemQjsdYaq9B4CpdRv2LzsNY3OTo4i82Ax767aw8J1e/ls4366dgjimrQ4LuoTTZAblbHwjA6w49SWl9B7CJRSJ5AYGcS9F3Zn8Z1n8sAlyXh7CY8u2sIFM37iH59kkL630OoQncJ9UtpJyCvWReuVUk0X4GvjCsd4waacQt5btYfPNuzjwzU59OgYwhUDYhjZJ7rNFrtrm1GfosNHa+oMadeQUqrpRIQ+saH0iQ3l7gu6smjDfj5YncOji7bw1JfbOL9XBy5PjSE1vm2NJXhkItAWgVLqVIX4+3DtoDiuSYtlU04hH66xl7FYuG4fiRGBjHbcrxAV4md1qI3yyERwpMSeCNrpYLFS6hQd20roxpebc/l47V6e/uYXnv32F87oEsGl/ToxvHtEqy1n4ZGJoMCRCNpqf55SqnUK9PXmstQYLkuNYdehoyxYt5dP1+/jvvc3EuLvzYW9o7kkpSMpsaEn3XWUV1xOTn4pMWH+Tp/o4pGfhEVllQT7eWPzajt9eEqptqVzRCC3nduFW0acxorMPBau28sn6/by3qo9xIcHcHGfjlzUN5qE8MBGz/XZxn08vDADH5tQUWV46NIejOzT0WmxemQiKCip1KqjSqkWYfMSTj8tnNNPC6eorJKv03P5dMM+Xvx+Jy9+v5M+saFc3LcjF/TqUO9CWXnF5Ty8MIOyymrKKu3bpi/MYEhSuNNaBh75aVhQWkGoJgKlVAsL9vu162hffimfb9rPZxv286/Pt/LvxdsYlNSekX2iOSc5qvbLak5+KT42qU0CAN42ISe/tG0kAhEZCfwXsAEvG2MeO27/XcBkoBI4AEw0xuxyZUwAhaWVhARoIlBKWadjmD8TzujMhDM6sz23iM837mfxpv1MW5DOI7YMhnWJ4ILeHUiJDaOiyhzz2soqQ0yYv9NicdmnoYjYgJnA+UA2sEJEFhhjNtc5bA2QZow5KiI3A/8CrnVVTDUKSyub1C+nlFItoWuHYG49N5g/nXMaG/YU8MXmXL7cvJ/vth7Ez9uLrh2C2LKvCF9voaoaHrq0h1MHjF35tXgwsN0YswNAROYDlwG1icAY822d45cB41wYT62C0gpCtUWglGplRISUuDBS4sK46/yurNl9hK/SD/B1ei6V1YZrUmOZdGZim5o1FAtk1XmeDQw5wfGTgM/q2yEiU4GpAAkJCaccWGFppY4RKKVaNS8RBnZuz8DO7bnngm6szTpCYkSQS2qktYpPQxEZB6QBZ9e33xjzEvASQFpamqnvmKaqqKqmtKKaEH+9mUwp1TbYvOxJwVVcmQj2APF1nsc5th1DRH4H/B9wtjGmzIXxAPapo4BOH1VKKQdXlqFeAXQTkSQR8QWuAxbUPUBE+gMvAqONMbkujKVWYan9rmLtGlJKKTuXJQJjTCVwK7AYSAfeMcZsEpGHRWS047AngGDgXRFZKyILGjid0xSU2lsEoQHaNaSUUuDiMQJjzCJg0XHbHqzz+HeufP/6FDoSQbC2CJRSCvDAFcq0a0gppY7lcYmgtmtIZw0ppRTgiYlAZw0ppdQxPC4RFJZV4u/tha+3x126UkrVy+M+DQtLKrTgnFJK1eFxiaCgtJIQPx0fUEqpGh6YCLTgnFJK1eVxiaCoVFcnU0qpujwuERRoIlBKqWN4XiIoqdR7CJRSqg6PSgTVxlBcpi0CpZSqy6MSQVFpJQa9mUwpperyqESglUeVUuq3PCoRFNbWGdIWgVJK1fCoRFDgqDyqXUNKKfUrj0oEhbUF57RrSCmlanhWIijTriGllDqeRyWCghLHojRaYkIppWp5ViIorcQmQoCPzepQlFKq1fCoRFBUWklIgDciYnUoSinVanhUIigordDxAaWUOo6HJQItL6GUUsfzqERQWFqpU0eVUuo4npUISiq1a0gppY7jUYmgoLRCu4aUUuo4HpMIjDEUlupaBEopdTyPSQSlFdVUVhtC9GYypZQ6hsckAi04p5RS9fOYRPBrCWrtGlJKqbo8JhEU6FoESilVL5cmAhEZKSJbRGS7iNxfz34/EXnbsf9nEUl0VSyFjoJzOkaglFLHclkiEBEbMBO4COgFjBGRXscdNgnIM8Z0BWYAj7sqnpoWQYifJgKllKrLlS2CwcB2Y8wOY0w5MB+47LhjLgNedzx+DzhPXFQRrlDXK1ZKqXq5MhHEAll1nmc7ttV7jDGmEsgHIo4/kYhMFZGVIrLywIEDzQompp0/5yRHEqwtAqWUOkab+FQ0xrwEvASQlpZmmnOOEclRjEiOcmpcSinlDlzZItgDxNd5HufYVu8xIuINhAGHXBiTUkqp47gyEawAuolIkoj4AtcBC447ZgEw3vH4KuAbY0yzvvErpZRqHpd1DRljKkXkVmAxYANeMcZsEpGHgZXGmAXAbGCOiGwHDmNPFkoppVqQS8cIjDGLgEXHbXuwzuNS4GpXxqCUUurEPObOYqWUUvXTRKCUUh5OE4FSSnk4TQRKKeXhpK3N1hSRA8CuZr48EjjoxHCspNfS+rjLdYBeS2t1KtfS2RhT7121bS4RnAoRWWmMSbM6DmfQa2l93OU6QK+ltXLVtWjXkFJKeThNBEop5eE8LRG8ZHUATqTX0vq4y3WAXktr5ZJr8agxAqWUUr/laS0CpZRSx9FEoJRSHs5jEoGIjBSRLSKyXUTutzqe5hKRV0QkV0Q2Wh3LqRCReBH5VkQ2i8gmEbnD6piaS0T8RWS5iKxzXMt0q2M6VSJiE5E1IvKJ1bGcChHJFJENIrJWRFZaHU9ziUg7EXlPRDJEJF1Ehjr1/J4wRiAiNmArcD72JTNXAGOMMZstDawZRGQ4UAS8YYzpY3U8zSUinYBOxpjVIhICrAIub6N/JwIEGWOKRMQH+BG4wxizzOLQmk1E7gLSgFBjzCir42kuEckE0owxbfqGMhF5HfjBGPOyY32XQGPMEWed31NaBIOB7caYHcaYcmA+cJnFMTWLMeZ77Gs3tGnGmL3GmNWOx4VAOr9d07pNMHZFjqc+jp82+w1LROKAS4CXrY5FgYiEAcOxr9+CMabcmUkAPCcRxAJZdZ5n00Y/dNyRiCQC/YGfLQ6l2RxdKWuBXOBLY0ybvRbgP8BfgGqL43AGA3whIqtEZKrVwTRTEnAAeNXRXfeyiAQ58w08JRGoVkpEgoH3gTuNMQVWx9NcxpgqY0wq9rW5B4tIm+y2E5FRQK4xZpXVsTjJmcaYAcBFwJ8cXattjTcwAHjeGNMfKAacOs7pKYlgDxBf53mcY5uykKM//X1grjHmA6vjcQZHk/1bYKTFoTTXMGC0o299PnCuiLxpbUjNZ4zZ4/gzF/gQezdxW5MNZNdpZb6HPTE4jackghVANxFJcgy0XAcssDgmj+YYYJ0NpBtjnrI6nlMhIlEi0s7xOAD7pIQMS4NqJmPMX40xccaYROz/T74xxoyzOKxmEZEgx0QEHF0pFwBtbradMWYfkCUiyY5N5wFOnVTh0jWLWwtjTKWI3AosBmzAK8aYTRaH1SwiMg8YAUSKSDbwkDFmtrVRNcsw4AZgg6NvHeBvjnWu25pOwOuO2WlewDvGmDY97dJNRAMf2r9z4A28ZYz53NqQmu02YK7ji+wO4CZnntwjpo8qpZRqmKd0DSmllGqAJgKllPJwmgiUUsrDaSJQSikPp4lAKaU8nCYCpRogIhGOqpVrRWSfiOxxPC4Skeesjk8pZ9Hpo0o1gYhMA4qMMU9aHYtSzqYtAqVOkoiMqKnTLyLTROR1EflBRHaJyBUi8i9HDfzPHWU0EJGBIvI/R/GzxY4y3Eq1CpoIlDp1XYBzgdHAm8C3xpi+QAlwiSMZPANcZYwZCLwCPGJVsEodzyNKTCjlYp8ZYypEZAP2EiY1ZQw2AIlAMtAH+NJR7sAG7LUgTqXqpYlAqVNXBmCMqRaRCvPrwFs19v9jAmwyxjh1eUGlnEW7hpRyvS1AVM06syLiIyK9LY5JqVqaCJRyMcfyqFcBj4vIOmAtcIalQSlVh04fVUopD6ctAqWU8nCaCJRSysNpIlBKKQ+niUAppTycJgKllPJwmgiUUsrDaSJQSikP9/8BnQprGaO3ycIAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_per_experiment(solution=sol);"
]
},
{
"cell_type": "markdown",
"id": "3c12dff9",
"metadata": {},
"source": [
"while the fit looks ok, lets have a look at the likelyhood profile\n",
"\n",
"the utility method `get_profiles_for_model` combines all of the above and runs the profile likelihood for the currently loaded model and fit. You can supply all the arguments of `prepare_files` and `process_dir`. By defaut `get_profiles_for_model` will use a temporary directory, and remove the files afterwards. If you would like the files to stay on your disc, you can supply a `data_dir`, in which all files will be generated, and reports placed. \n",
"\n",
"We additionally use the `scale_mode` parameter, that allows to limit the y_axis to desired limits. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "c5b10f10",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"get_profiles_for_model(lower_adjustment=0.1, upper_adjustment=10, scale_mode={'top': 0.04, 'bottom': 0.0001});"
]
},
{
"cell_type": "markdown",
"id": "7e64965c",
"metadata": {},
"source": [
"as the result from the publication suggests, the parameter is not identifiable. No lets the run the second dataset as well: "
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "447d1f77",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" sol \n",
" \n",
" \n",
" name \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" (v1).k \n",
" 1.554192 \n",
" \n",
" \n",
" (v2).k1 \n",
" 0.843723 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sol\n",
"name \n",
"(v1).k 1.554192\n",
"(v2).k1 0.843723"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"remove_experiments()\n",
"add_experiment('Data set 2',pd.DataFrame(data = {\n",
" 'Time': [0.5, 1, 2, 3, 4, 5, 6, 7, 8], \n",
" '[TpFit]': [0.79, 1, 1, 0.81, 0.51, 0.34, 0.14, 0.34, 0.1],\n",
" #'sd': [0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.1]\n",
"}))\n",
"\n",
"sol = run_parameter_estimation(method=PE.HOOKE_JEEVES, update_model=True)\n",
"sol[['sol']]\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "ff2da812",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_per_experiment(solution=sol);"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "a042b028",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"get_profiles_for_model(lower_adjustment=0.1, upper_adjustment=10, scale_mode={'top': 0.4, 'bottom': 0.05});"
]
},
{
"cell_type": "markdown",
"id": "e52d6742",
"metadata": {},
"source": [
"looking at the profile we find what we want to see.\n",
"\n",
"A new option added, is to generate the profiles for a certain number of standard deviations as calculated by the COPASI fit. Lets try this here, by going to the ranges of -5 / +5 standard deviations from the value found: "
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "78e3c1df",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"get_profiles_for_model(lower_adjustment=\"-5SD\", upper_adjustment=\"+5SD\", scale_mode={'top': 0.4, 'bottom': 0.05});"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.4"
},
"vscode": {
"interpreter": {
"hash": "87d97cb3f451004e2a75fa1d11d46b3a6fdccbe478e78b8d5cdcd30ec9723b46"
}
}
},
"nbformat": 4,
"nbformat_minor": 5
}