{ "cells": [ { "cell_type": "markdown", "id": "623b5daf-f4bc-4fd0-8bb8-1200dc7640be", "metadata": {}, "source": [ "# Example of cut and flow (CnF) analysis\n", "\n", "The purposes here are:\n", "- to show how to use the `cut_and_flow` functions allowing tha analysis of CnF experiments\n", "- to illustrate how it is important to consider water and solutes transport in some water stress cases to avoid significative error on hydraulic parameters.\n", "\n", "CnF experiment protocol is described in [Boursiac et al.](https://doi.org/10.1093/plphys/kiac281). In this work, experiments were performed on Arabidopsis in control condition only therefore analysis was done with the pure water solver of HydroRoot. A second publication, [Bauget et al. 2023](https://doi.org/10.1093/jxb/erac471) was focused on the phenotypage of maize roots under water stress. The authors showed that in this condition solute transport had to be accounting for CnF analysis.\n", "\n", "## Inputs\n", "\n", "There are 3 kinds of input files:\n", "\n", "- a yaml file with general and mandatory parameters see [documentation](https://hydroroot.readthedocs.io/en/latest/user/api_init_parameter.html) for details, or example of files in the `example` directory that are well commented.\n", "- a `csv` file with CnF data mandatory for any CnF analysis, for example `example/data/maize_cnf_data.csv`.\n", "- a `csv` file with flux vs pressure (JvP) needed only with the solute-water solver, for example `example/data/maize_JvP_data.csv`.\n", "\n", "#### cnf_data.csv\n", "\n", "csv file containing data of cut and flow data of with the following columns:\n", "\n", "- arch: sample name that must be contained in the 'input_file' of the yaml file\n", "- dP_Mpa: column with the working cut and flow pressure (in relative to the base) if constant, may be empty see below\n", "- J0, J1, ..., Jn: columns that start with 'J' containing the flux values, 1st the for the full root, then 1st cut, 2d cut, etc.\n", "- lcut1, ...., lcutn: columns starting with 'lcut' containing the maximum length to the base after each cut, 1st cut, 2d cut, etc. (not the for full root) \n", "- dP0, dP1,.., dPn: column starting with 'dP' containing the working pressure (in relative to the base) of each steps (if not constant): full root, 1st cut, 2d cut, etc.\n", "\n", "#### JvP_data.csv\n", "\n", "csv file containing data of Jv(P) data of with the following columns:\n", "\n", "- arch: sample name that must be contained in the 'input_file' of the yaml file\n", "- J0, J1, ..., Jn: columns that start with 'J' containing the flux values of each pressure steps\n", "- dP0, dP1,.., dPn: column starting with 'dP' containing the working pressure (in relative to the base) of each steps\n", "\n", "## Complements\n", "\n", "- CnF experiments and analysis with pure water solver (`parameters.yml` and `cnf_data.csv` inputs), see [Boursiac et al.](https://doi.org/10.1093/plphys/kiac281).\n", "- CnF experiments and analysis with solute-water solver (`parameters.yml`, `cnf_data.csv` and `JvP_data.csv` inputs), see [Bauget et al. 2023](https://doi.org/10.1093/jxb/erac471).\n", "- [modeling principles](https://hydroroot.readthedocs.io/en/latest/modeling.html) in HydroRoot documentation.\n", "\n", "\n", "This notebook calls python scripts calling the wapper functions." ] }, { "cell_type": "code", "id": "1c2f0b9d-93a3-4c83-8673-adb477942f94", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:53:49.482154Z", "start_time": "2026-02-26T12:53:49.479486Z" } }, "source": [ "import warnings\n", "warnings.filterwarnings('ignore')" ], "outputs": [], "execution_count": 8 }, { "cell_type": "markdown", "id": "4acbb1ae-feb4-495a-bb8d-3cf9c550f295", "metadata": {}, "source": [ "## Maize root in control condition\n", "\n", "#### Solute solver\n", "\n", "Here an example of a maize root with measurements done in hydroponic solution (control), in the parameters file `parameters_Ctr-3P2.yml` hydraulic and solute transport parameters have been **already optimized** to get the best fit (lines in the plots) of data (dot)." ] }, { "cell_type": "code", "id": "96755068-9b05-4654-ade9-bdc2c5bac991", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:54:18.553271Z", "start_time": "2026-02-26T12:54:15.311997Z" } }, "source": [ "%run example_cut_and_flow_water_solute.py parameters_Ctr-3P2.yml" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "running time is 3.079962730407715\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 9 }, { "cell_type": "markdown", "id": "1dfe27b6-8baa-4b27-aee4-5f7f557aeb5a", "metadata": {}, "source": [ "### With hydrostatic solver\n", "\n", "Here we run simulation with the same input parameter file with the **hydrostatic solver** (no solute transport)." ] }, { "cell_type": "code", "id": "8e760841-764e-4a9f-b7d2-e9302a438cfc", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:55:13.385457Z", "start_time": "2026-02-26T12:55:12.289805Z" } }, "source": [ "%run example_cut_and_flow_pure_water.py parameters_Ctr-3P2.yml" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 10 }, { "cell_type": "markdown", "id": "9691ce8a-7a52-4132-bbad-5c09a5855e7c", "metadata": {}, "source": [ "We can note that the fit of data is not as good as simulation with water-solute solver.\n", "\n", "We then adjust K and k with hydrostatic solver to fit data. It takes around 40 s." ] }, { "cell_type": "code", "id": "8e3bdc3d-e376-426a-ac7e-2ec5acb66acc", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:57:15.256051Z", "start_time": "2026-02-26T12:56:36.046325Z" } }, "source": [ "%run example_cut_and_flow_pure_water.py parameters_Ctr-3P2.yml -op -v " ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*********** pre_optimization ************************\n", "pre-optimization ar: 9.34e-01\n", "pre-optimization ax: 1.01e+00\n", "****************************************************************\n", "finished minimize K: [ 2.99e-04, 7.19e-04, 3.17e-03, 3.17e-03, 5.07e-03, 5.85e-02, 1.43e-01 ]\n", "finished minimize k0: , 1.63e+02\n", " plant cut length (m) max_length k (10-9 m/s/MPa) length (m) surface (m2) Jv (uL/s) Jexp (uL/s)\n", "0 Exp03_P2.txt 0.0000 0.4340 163.141792 3.979 0.005644 0.101705 0.098667\n", "1 Exp03_P2.txt 0.0623 0.3717 163.141792 3.915 0.005432 0.101730 0.105333\n", "2 Exp03_P2.txt 0.1374 0.2966 163.141792 3.829 0.005172 0.102061 0.101444\n", "3 Exp03_P2.txt 0.1847 0.2493 163.141792 3.694 0.004912 0.103611 0.103667\n", "4 Exp03_P2.txt 0.2305 0.2035 163.141792 3.468 0.004547 0.119508 0.119500\n", "5 Exp03_P2.txt 0.2982 0.1358 163.141792 2.947 0.003785 0.184774 0.184778\n", " x K 1st K optimized\n", "0 0.00 0.000230 0.000299\n", "1 0.06 0.000227 0.000719\n", "2 0.13 0.022300 0.003172\n", "3 0.18 0.021960 0.003172\n", "4 0.23 0.021720 0.005069\n", "5 0.29 0.025770 0.058471\n", "6 0.43 0.195400 0.142783\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 11 }, { "cell_type": "markdown", "id": "6f2063db-27a9-4dab-a025-8fc3b2ea780a", "metadata": {}, "source": [ "We can note that there are no significant differences between hydraulic parameters from water-solute and pure water solver in control condition." ] }, { "cell_type": "markdown", "id": "096d0d9b-9770-475d-818a-3b4d3eef2ec7", "metadata": {}, "source": [ "## Maize root in control condition\n", "\n", "#### Solute solver\n", "\n", "Here an example of a maize root with measurements done in a PEG solution (150 g/l) simulating water stress, in the parameters file `parameters_150-5P13.yml` hydraulic and solute transport parameters have been already optimized to get the best fit." ] }, { "cell_type": "code", "id": "2730baac-d9c8-4632-aa64-ba47f229720d", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:58:06.576621Z", "start_time": "2026-02-26T12:58:04.618368Z" } }, "source": [ "%run example_cut_and_flow_water_solute.py parameters_150-5P13.yml" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "running time is 1.745145320892334\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 12 }, { "cell_type": "markdown", "id": "15a02283-0624-4043-b666-e74a57070d5c", "metadata": {}, "source": "### With hydrostatic solver" }, { "cell_type": "code", "id": "4e2f9b73-c99d-406a-8c99-7dedf53a6ff4", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:58:23.340955Z", "start_time": "2026-02-26T12:58:22.940428Z" } }, "source": [ "%run example_cut_and_flow_pure_water.py parameters_150-5P13.yml" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 13 }, { "cell_type": "markdown", "id": "63c8ed84-8a91-4bdc-a1f2-06a10817ee3b", "metadata": {}, "source": "Here the fit is very bad. Let's adjust parameters with the **hydrostatic solver** to fit the data. It takes around 13 s." }, { "cell_type": "code", "id": "e7b4cb66-d1aa-4e71-bcef-38c22740d9a2", "metadata": { "ExecuteTime": { "end_time": "2026-02-26T12:59:25.023757Z", "start_time": "2026-02-26T12:59:12.654500Z" } }, "source": [ "%run example_cut_and_flow_pure_water.py parameters_150-5P13.yml -op -v" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*********** pre_optimization ************************\n", "pre-optimization ar: 3.95e-01\n", "pre-optimization ax: 7.70e-02\n", "****************************************************************\n", "finished minimize K: [ 1.71e-07, 3.58e-03, 4.49e-03, 6.54e-03, 6.54e-03, 6.54e-03, 6.54e-03, 6.54e-03, 6.54e-03 ]\n", "finished minimize k0: , 1.40e+01\n", "finished minimize K: [ 2.17e-08, 3.74e-03, 4.66e-03, 6.61e-03, 6.61e-03, 6.61e-03, 6.61e-03, 6.61e-03, 6.61e-03 ]\n", "finished minimize k0: , 1.40e+01\n", " plant cut length (m) max_length k (10-9 m/s/MPa) length (m) surface (m2) Jv (uL/s) Jexp (uL/s)\n", "0 Exp05_P13.txt 0.000000 0.299000 14.012456 0.954 0.001796 0.005817 0.005282\n", "1 Exp05_P13.txt 0.039098 0.259902 14.012456 0.913 0.001663 0.009844 0.009976\n", "2 Exp05_P13.txt 0.083459 0.215541 14.012456 0.869 0.001521 0.011526 0.011560\n", "3 Exp05_P13.txt 0.123762 0.175238 14.012456 0.829 0.001392 0.013332 0.015949\n", "4 Exp05_P13.txt 0.156760 0.142240 14.012456 0.772 0.001255 0.015562 0.014115\n", "5 Exp05_P13.txt 0.189835 0.109165 14.012456 0.680 0.001073 0.019297 0.018726\n", " x K 1st K optimized\n", "0 0.00 0.000019 2.171835e-08\n", "1 0.05 0.031690 3.735261e-03\n", "2 0.07 0.046450 4.660776e-03\n", "3 0.11 0.069210 6.613485e-03\n", "4 0.14 0.073150 6.614899e-03\n", "5 0.18 0.078230 6.614899e-03\n", "6 0.22 0.083380 6.614899e-03\n", "7 0.26 0.088110 6.614899e-03\n", "8 0.30 0.095630 6.614899e-03\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 14 }, { "cell_type": "markdown", "id": "39796e61-137f-44aa-bb0b-3e498b2005dc", "metadata": {}, "source": "Therefore without taking account for solute transport we make an **error of 62 % on k and 93 % on the max of K**" }, { "cell_type": "code", "execution_count": null, "id": "09bb55fd-48a2-4fc8-9262-9aec14c84126", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.12.11" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }