{ "cells": [ { "cell_type": "markdown", "id": "a43fb534", "metadata": {}, "source": [ "(cardiac_cycles)=\n", "# Detecting cardiac cycles\n", "Author: Nicolas Legrand " ] }, { "cell_type": "code", "execution_count": 1, "id": "88625d33", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:07.269148Z", "iopub.status.busy": "2025-04-07T06:28:07.268788Z", "iopub.status.idle": "2025-04-07T06:28:07.274811Z", "shell.execute_reply": "2025-04-07T06:28:07.274100Z" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "%%capture\n", "import sys\n", "\n", "if \"google.colab\" in sys.modules:\n", " !pip install systole" ] }, { "cell_type": "code", "execution_count": 2, "id": "1d30bf86", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:07.277473Z", "iopub.status.busy": "2025-04-07T06:28:07.277036Z", "iopub.status.idle": "2025-04-07T06:28:12.286433Z", "shell.execute_reply": "2025-04-07T06:28:12.285828Z" } }, "outputs": [ { "data": { "text/html": [ " \n", "
\n", " \n", " Loading BokehJS ...\n", "
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\\n\"+\n \"

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\\n\"+\n \"\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"
\"}};\n\n function display_loaded(error = null) {\n const el = document.getElementById(\"ab7fa261-3817-47b9-8253-e65257de00a7\");\n if (el != null) {\n const html = (() => {\n if (typeof root.Bokeh === \"undefined\") {\n if (error == null) {\n return \"BokehJS is loading ...\";\n } else {\n return \"BokehJS failed to load.\";\n }\n } else {\n const prefix = `BokehJS ${root.Bokeh.version}`;\n if (error == null) {\n return `${prefix} successfully loaded.`;\n } else {\n return `${prefix} encountered errors while loading and may not function as expected.`;\n }\n }\n })();\n el.innerHTML = html;\n\n if (error != null) {\n const wrapper = document.createElement(\"div\");\n wrapper.style.overflow = \"auto\";\n wrapper.style.height = \"5em\";\n wrapper.style.resize = \"vertical\";\n const content = document.createElement(\"div\");\n content.style.fontFamily = \"monospace\";\n content.style.whiteSpace = \"pre-wrap\";\n content.style.backgroundColor = \"rgb(255, 221, 221)\";\n content.textContent = error.stack ?? error.toString();\n wrapper.append(content);\n el.append(wrapper);\n }\n } else if (Date.now() < root._bokeh_timeout) {\n setTimeout(() => display_loaded(error), 100);\n }\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n\n root._bokeh_onload_callbacks.push(callback);\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls == null || js_urls.length === 0) {\n run_callbacks();\n return null;\n }\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n\n function on_error(url) {\n console.error(\"failed to load \" + url);\n }\n\n for (let i = 0; i < css_urls.length; i++) {\n const url = css_urls[i];\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n }\n\n for (let i = 0; i < js_urls.length; i++) {\n const url = js_urls[i];\n const element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.async = false;\n element.src = url;\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.7.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.7.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.7.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.7.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.7.2.min.js\"];\n const css_urls = [];\n\n const inline_js = [ function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\nfunction(Bokeh) {\n }\n ];\n\n function run_inline_js() {\n if (root.Bokeh !== undefined || force === true) {\n try {\n for (let i = 0; i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n\n } catch (error) {display_loaded(error);throw error;\n }if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n const cell = $(document.getElementById(\"ab7fa261-3817-47b9-8253-e65257de00a7\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import numpy as np\n", "from systole.detection import interpolate_clipping, ecg_peaks\n", "from systole.plots import plot_raw\n", "from systole import import_dataset1, import_ppg\n", "from systole import serialSim\n", "from systole.recording import Oximeter\n", "\n", "from bokeh.io import output_notebook\n", "from bokeh.plotting import show\n", "\n", "output_notebook()\n", "\n", "sns.set_context(\"talk\")" ] }, { "cell_type": "markdown", "id": "c4591c61", "metadata": {}, "source": [ "This notebook focuses on the characterisation of cardiac cycles from the physiological signals we previously described (PPG and ECG). Here we only briefly mention different QRS-detection algorithms as related to the estimation of heart rate frequency, which is a commonly used measure in psychology and cognitive science. However, both the ECG and the PPG signals contain rich information beyond the beat-to-beat frequency that is relevant for cognitive and physiological modelling. All these approaches are not fully covered by [Systole](https://LegrandNico.github.io/systole/#), but are implemented in other software (e.g. see {cite:p}`2021:makowski` for ECG components delineation).\n", "\n", "In this notebook, we are going to review the peak detection algorithm, which future tutorials covering, for example, heart-rate variability will build upon. Here our intention is to provide a better intuition of what is happening in our peak detection algorithms, the corrections that can be applied, and the possible bias and artefacts that can emerge. However, you do not need a perfect understanding of all these steps if you want to apply peak detection to your data, and you might also consider skipping this part to proceed directly to the next tutorial focusing on artefact detection and correction." ] }, { "cell_type": "markdown", "id": "abd0bea0", "metadata": {}, "source": [ "## Electrocardiography" ] }, { "cell_type": "markdown", "id": "3f96f57f", "metadata": {}, "source": [ "Because we will ultimately be interested in heart rate and its variability, our first goal will be to detect the R peaks. A large variety of algorithms have been proposed to extract the timing of R waves while controlling for signal noise and physiological variability. Reviewing and comparing all of the available methods is beyond the scope of this tutorial. Here, we are going to restrict our focus to some of the most popular methods, which also are available in the Python open-source ecosystem. We will use the {py:func}`systole.detection.ecg_peaks` function to perform R peak detection. This function can call a variety of peak detection algorithms among the following: \n", "\n", "- `sleepecg` (default)\n", "- `hamilton`\n", "- `christov`\n", "- `engelse-zeelenberg`\n", "- `pan-tompkins`\n", "- `wavelet-transform`\n", "- `moving-average`\n", "\n", "The default method (`sleepecg`) uses a modified version of the Pan-Tompkins algorithm provided by the [sleepecg](https://github.com/cbrnr/sleepecg) package. The rest of the algorithms were implemented in the [py-ecg-detectors module](https://github.com/berndporr/py-ecg-detectors) {cite:p}`2019:porr`. Systole uses a modified version of these implementations that runs with the [Numba](http://numba.pydata.org/) package for better performance, resulting in 7-30x faster estimation, depending on the algorithm.\n", "\n", "The detection algorithm can be selected via the `method` parameter. In these tutorials, we will use the modified version of the [pan-tompkins algorithm](https://en.wikipedia.org/wiki/Pan%E2%80%93Tompkins_algorithm) {cite:p}`1985:pan` from [sleepecg](https://github.com/cbrnr/sleepecg) as it is a fast, well-performing, and a commonly used algorithm for QRS detection." ] }, { "cell_type": "markdown", "id": "75144002", "metadata": {}, "source": [ "Let's first load an ECG recording. Here, we will select a 5-minute interval and compare the performances of the different algorithms supported by Systole." ] }, { "cell_type": "code", "execution_count": 3, "id": "3829c6fd", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:12.288903Z", "iopub.status.busy": "2025-04-07T06:28:12.288112Z", "iopub.status.idle": "2025-04-07T06:28:13.180499Z", "shell.execute_reply": "2025-04-07T06:28:13.179481Z" } }, "outputs": [], "source": [ "# Import ECG recording\n", "ecg_df = import_dataset1(modalities=[\"ECG\"], disable=True)\n", "signal = ecg_df[ecg_df.time.between(60, 360)].ecg.to_numpy() # Select 5 minutes" ] }, { "cell_type": "markdown", "id": "6aa3540c", "metadata": {}, "source": [ "### Detecting R peaks" ] }, { "cell_type": "code", "execution_count": 4, "id": "e187f0df", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:13.182854Z", "iopub.status.busy": "2025-04-07T06:28:13.182609Z", "iopub.status.idle": "2025-04-07T06:28:13.186974Z", "shell.execute_reply": "2025-04-07T06:28:13.186194Z" } }, "outputs": [], "source": [ "from systole.detectors import (\n", " pan_tompkins,\n", " hamilton,\n", " moving_average,\n", " christov,\n", " engelse_zeelenberg,\n", ")" ] }, { "cell_type": "markdown", "id": "b6dfac4c", "metadata": {}, "source": [ "#### Pan-Tompkins\n", "\n", "The [Pan-Tompkins algorithm](https://en.wikipedia.org/wiki/Pan%E2%80%93Tompkins_algorithm) was introduced in 1985. It uses band-pass filtering and derivation to identify the QRS complex and apply an adaptive threshold to detect the R peaks on the filtered signal.\n", "\n", "This is a very popular - maybe the most popular - method for R peak detection. One of the advantages is that it can easily be applied for online detection (see [this implementation](https://github.com/c-labpl/qrs_detector) for example). As we can see in the timing report, this algorithm is also the fastest among those available in the Systole toolbox, making it ideal for applications such as online peak detection and biofeedback. You can also see that the algorithm's peak detection is highly accurate as we do not see any artifacts in the estimated R-R time series. One notable exception is the first peak which has been estimated incorrectly. This is due to the filtering steps in the Pan-Tompkins algorithms and can be corrected by using a slightly longer signal than the range of interest." ] }, { "cell_type": "code", "execution_count": 5, "id": "b45c1d04", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:13.189210Z", "iopub.status.busy": "2025-04-07T06:28:13.189008Z", "iopub.status.idle": "2025-04-07T06:28:17.611967Z", "shell.execute_reply": "2025-04-07T06:28:17.611120Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.4 ms ± 2.14 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "peaks_pt = pan_tompkins(signal, sfreq=1000)" ] }, { "cell_type": "code", "execution_count": 6, "id": "36d65fb0", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:17.614253Z", "iopub.status.busy": "2025-04-07T06:28:17.613965Z", "iopub.status.idle": "2025-04-07T06:28:17.879389Z", "shell.execute_reply": "2025-04-07T06:28:17.878567Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p1210" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal,\n", " modality=\"ecg\",\n", " detector=\"pan-tompkins\",\n", " backend=\"bokeh\",\n", " show_heart_rate=True,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "4fd6c3fc", "metadata": {}, "source": [ "#### Moving average" ] }, { "cell_type": "code", "execution_count": 7, "id": "d336375a", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:17.885166Z", "iopub.status.busy": "2025-04-07T06:28:17.884817Z", "iopub.status.idle": "2025-04-07T06:28:18.580707Z", "shell.execute_reply": "2025-04-07T06:28:18.579953Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "8.91 ms ± 943 μs per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "peaks_wa = ecg_peaks(signal, sfreq=1000, method=\"moving-average\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "d5541c52", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:18.583071Z", "iopub.status.busy": "2025-04-07T06:28:18.582857Z", "iopub.status.idle": "2025-04-07T06:28:18.796872Z", "shell.execute_reply": "2025-04-07T06:28:18.795920Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p1430" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal,\n", " modality=\"ecg\",\n", " detector=\"moving-average\",\n", " backend=\"bokeh\",\n", " show_heart_rate=True,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "72bad7f1", "metadata": {}, "source": [ "#### Hamilton" ] }, { "cell_type": "code", "execution_count": 9, "id": "a817ded3", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:18.799860Z", "iopub.status.busy": "2025-04-07T06:28:18.799557Z", "iopub.status.idle": "2025-04-07T06:28:22.030449Z", "shell.execute_reply": "2025-04-07T06:28:22.029715Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.4 ms ± 5.05 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "peaks_ha = hamilton(signal, sfreq=1000)" ] }, { "cell_type": "code", "execution_count": 10, "id": "6c55cfd2", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:22.032562Z", "iopub.status.busy": "2025-04-07T06:28:22.032360Z", "iopub.status.idle": "2025-04-07T06:28:22.245483Z", "shell.execute_reply": "2025-04-07T06:28:22.244435Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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%Y\",\"seconds\":\"\",\"minsec\":\"\",\"minutes\":\"\",\"hourmin\":\"\",\"hours\":\"\",\"days\":\"\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true}},\"context_which\":\"all\"}},\"context_which\":\"all\"}},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1627\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1628\",\"attributes\":{\"axis\":{\"id\":\"p1610\"}}}],\"background_fill_color\":\"#efefef\"}}]}}]}};\n", " const render_items = [{\"docid\":\"31c58cb1-7df3-46be-9542-4145ff0b70ee\",\"roots\":{\"p1650\":\"facabfe7-8d83-4acb-8de7-70a3aba6d7d6\"},\"root_ids\":[\"p1650\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p1650" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal,\n", " modality=\"ecg\",\n", " detector=\"hamilton\",\n", " backend=\"bokeh\",\n", " show_heart_rate=True,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "287648fa", "metadata": {}, "source": [ "#### Christov" ] }, { "cell_type": "code", "execution_count": 11, "id": "6dfff16f", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:22.249098Z", "iopub.status.busy": "2025-04-07T06:28:22.248879Z", "iopub.status.idle": "2025-04-07T06:28:24.351933Z", "shell.execute_reply": "2025-04-07T06:28:24.350931Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "120 ms ± 4.46 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "peaks_ch = christov(signal, sfreq=1000)" ] }, { "cell_type": "code", "execution_count": 12, "id": "9b74f725", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:24.354844Z", "iopub.status.busy": "2025-04-07T06:28:24.354463Z", "iopub.status.idle": "2025-04-07T06:28:24.878191Z", "shell.execute_reply": "2025-04-07T06:28:24.877325Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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%Y\",\"seconds\":\"\",\"minsec\":\"\",\"minutes\":\"\",\"hourmin\":\"\",\"hours\":\"\",\"days\":\"\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true}},\"context_which\":\"all\"}},\"context_which\":\"all\"}},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1847\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1848\",\"attributes\":{\"axis\":{\"id\":\"p1830\"}}}],\"background_fill_color\":\"#efefef\"}}]}}]}};\n", " const render_items = [{\"docid\":\"9ee9e4a9-2d40-426a-8b3f-155524f74ebd\",\"roots\":{\"p1870\":\"d79b5955-7899-4be0-80fe-3009cc222952\"},\"root_ids\":[\"p1870\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p1870" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal,\n", " modality=\"ecg\",\n", " detector=\"christov\",\n", " backend=\"bokeh\",\n", " show_heart_rate=True,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "b37d2397", "metadata": {}, "source": [ "#### Engelse-Zeelenberg" ] }, { "cell_type": "code", "execution_count": 13, "id": "798b0f82", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:24.882253Z", "iopub.status.busy": "2025-04-07T06:28:24.881830Z", "iopub.status.idle": "2025-04-07T06:28:25.801787Z", "shell.execute_reply": "2025-04-07T06:28:25.800934Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "37.3 ms ± 1.1 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "peaks_ew = engelse_zeelenberg(signal, sfreq=1000)" ] }, { "cell_type": "code", "execution_count": 14, "id": "06ad0ff4", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:25.806137Z", "iopub.status.busy": "2025-04-07T06:28:25.805336Z", "iopub.status.idle": "2025-04-07T06:28:26.076847Z", "shell.execute_reply": "2025-04-07T06:28:26.075746Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p2090" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal,\n", " modality=\"ecg\",\n", " detector=\"engelse-zeelenberg\",\n", " backend=\"bokeh\",\n", " show_heart_rate=True,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "0effc51d", "metadata": {}, "source": [ "## Photoplethysmography" ] }, { "cell_type": "markdown", "id": "c2b89a95", "metadata": {}, "source": [ "### Online systolic peaks detection" ] }, { "cell_type": "markdown", "id": "29444c5f", "metadata": {}, "source": [ "Let's first simulate some PPG recording. Here, we will use the `serialSim` class from Systole in conjunction with the `Oximeter` recording class. This will *simulate* the presence of a pulse oximeter on the computer and provide the information from a pre-recorded signal in real-time. Simulating synthetic cardiac data in this way can be a great way to test your data analysis pipelines before collecting data - avoiding painful mistakes that can occur!" ] }, { "cell_type": "code", "execution_count": 15, "id": "b16a83a9", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:26.079496Z", "iopub.status.busy": "2025-04-07T06:28:26.079269Z", "iopub.status.idle": "2025-04-07T06:28:47.234519Z", "shell.execute_reply": "2025-04-07T06:28:47.233474Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reset input buffer\n" ] } ], "source": [ "# Pulse oximeter simulation\n", "ser = serialSim()\n", "\n", "# Create an Oxymeter instance, initialize recording and record for 10 seconds\n", "oxi = Oximeter(serial=ser, sfreq=75).setup()\n", "oxi.read(20);" ] }, { "cell_type": "code", "execution_count": 16, "id": "a8db7d3d", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:47.237256Z", "iopub.status.busy": "2025-04-07T06:28:47.237018Z", "iopub.status.idle": "2025-04-07T06:28:47.242149Z", "shell.execute_reply": "2025-04-07T06:28:47.241161Z" } }, "outputs": [], "source": [ "# Retrieve the data from the oxi class\n", "times = np.array(oxi.times)\n", "threshold = np.array(oxi.threshold)\n", "recording = np.array(oxi.recording)\n", "peaks = np.array(oxi.peaks)" ] }, { "cell_type": "markdown", "id": "b0869137", "metadata": {}, "source": [ "This method uses the derivative to find peaks in the signal and select them based on and adaptive threshold based on the rolling mean and rolling standard deviation in a given time window." ] }, { "cell_type": "code", "execution_count": 17, "id": "bc2dec66", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:47.245704Z", "iopub.status.busy": "2025-04-07T06:28:47.245362Z", "iopub.status.idle": "2025-04-07T06:28:47.479191Z", "shell.execute_reply": "2025-04-07T06:28:47.478297Z" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 5))\n", "ax.set_title(\"Oximeter recording\")\n", "\n", "ax.plot(\n", " times, threshold, linestyle=\"--\", color=\"gray\", label=\"Threshold\", linewidth=1.5\n", ")\n", "ax.fill_between(x=times, y1=threshold, y2=recording.min(), alpha=0.2, color=\"gray\")\n", "ax.plot(times, recording, label=\"Recording\", color=\"#4c72b0\", linewidth=1.5)\n", "ax.fill_between(x=times, y1=recording, y2=recording.min(), color=\"w\")\n", "ax.scatter(\n", " x=times[np.where(peaks)[0]],\n", " y=recording[np.where(peaks)[0]],\n", " color=\"#c44e52\",\n", " alpha=0.6,\n", " label=\"Online estimation\",\n", " edgecolors=\"k\",\n", ")\n", "ax.set_ylabel(\"PPG level\")\n", "ax.set_xlabel(\"Time (s)\")\n", "ax.legend()\n", "sns.despine()" ] }, { "cell_type": "markdown", "id": "584c2720", "metadata": {}, "source": [ "### Offline systolic peaks detection" ] }, { "cell_type": "code", "execution_count": 18, "id": "61c9a3cd", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:47.481747Z", "iopub.status.busy": "2025-04-07T06:28:47.481529Z", "iopub.status.idle": "2025-04-07T06:28:47.644159Z", "shell.execute_reply": "2025-04-07T06:28:47.643190Z" } }, "outputs": [], "source": [ "ppg = import_ppg()" ] }, { "cell_type": "markdown", "id": "a5b02f0c", "metadata": {}, "source": [ "A simple online approach like the one we described is usually good enough to detect all the systolic peaks, provided that the subject is not moving too much. The package comes with two algorithms for systolic peaks detection presented below and that can be controlled through the `method` parameter of the {py:func}`systole.detection.ppg_peaks`.\n", "\n", "#### Rolling mean\n", "\n", "The current default is an adaptation of the rolling mean method proposed by {cite:p}`2019:vanGent`. This method has the advantage of being fast, simple and performing well when the signal-to-noise ratio is good." ] }, { "cell_type": "code", "execution_count": 19, "id": "b0d0af96-80ae-448d-a82e-ae0bfc20006c", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:47.646941Z", "iopub.status.busy": "2025-04-07T06:28:47.646728Z", "iopub.status.idle": "2025-04-07T06:28:48.031656Z", "shell.execute_reply": "2025-04-07T06:28:48.030643Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p2227" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal=ppg,\n", " modality=\"ppg\",\n", " detector=\"rolling_average\",\n", " sfreq=75,\n", " backend=\"bokeh\",\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "faa15111-8ca7-4d6a-9155-eba1aa489025", "metadata": {}, "source": [ "#### The Multi-scale peak and trough detection algorithm\n", "\n", "Systole also includes a version of the Multi-scale peak and trough detection algorithm {cite:p}`bishop:2018`, which has been reported to be one of the best-performing algorithms in recent benchmark {cite:p}`kotzen:2021`." ] }, { "cell_type": "code", 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%Y\",\"seconds\":\"\",\"minsec\":\"\",\"minutes\":\"\",\"hourmin\":\"\",\"hours\":\"\",\"days\":\"\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true}},\"context_which\":\"all\"}},\"context_which\":\"all\"}},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p2336\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p2337\",\"attributes\":{\"axis\":{\"id\":\"p2319\"}}}],\"background_fill_color\":\"#efefef\"}}]}}]}};\n", " const render_items = [{\"docid\":\"4496ac68-b556-4226-bb83-6c2e77684336\",\"roots\":{\"p2359\":\"c9692f8e-aed3-47da-acb2-142804435be7\"},\"root_ids\":[\"p2359\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "p2359" } }, "output_type": "display_data" } ], "source": [ "show(plot_raw(signal=ppg, modality=\"ppg\", detector=\"msptd\", sfreq=75, backend=\"bokeh\"))" ] }, { "cell_type": "markdown", "id": "ec0655e1", "metadata": {}, "source": [ "### Clipping artefacts" ] }, { "cell_type": "markdown", "id": "5cdac5ff", "metadata": {}, "source": [ "Clipping is a form of distortion that can limit signal when it exceeds a certain threshold [see the Wikipedia page](https://en.wikipedia.org/wiki/Clipping_(signal_processing)). Some PPG devices can produce clipping artefacts when recording the PPG signal, for example, if a participant is pressing too hard on the finger clip. Here, we can see that some clipping artefacts are found between 100 and 150 seconds in the previous recording. The threshold value (here `255`), is often set by the device and can easily be found depending on the manufacturer. These artefacts should be corrected before systolic peak detection. One way to correct these artefacts is to remove the portion of the signal where clipping artefacts occur and use cubic spline interpolation to reconstruct a plausible estimate of the *real* underlying signal. This is what the function `interpolate_clipping()` does {cite:p}`2019:vanGent`." ] }, { "cell_type": "code", "execution_count": 21, "id": "625ad349", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:48.563514Z", "iopub.status.busy": "2025-04-07T06:28:48.563200Z", "iopub.status.idle": "2025-04-07T06:28:48.574738Z", "shell.execute_reply": "2025-04-07T06:28:48.574035Z" } }, "outputs": [], "source": [ "signal = ppg[\n", " ppg.time.between(110, 113)\n", "].ppg.to_numpy() # Extract a portion of signal with clipping artefacts\n", "clean_signal = interpolate_clipping(\n", " signal, min_threshold=0, max_threshold=255\n", ") # Remove clipping segment and interpolate missing calues" ] }, { "cell_type": "code", "execution_count": 22, "id": "fa2bf005", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:48.578013Z", "iopub.status.busy": "2025-04-07T06:28:48.577209Z", "iopub.status.idle": "2025-04-07T06:28:48.717258Z", "shell.execute_reply": "2025-04-07T06:28:48.715968Z" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "plt.plot(\n", " np.arange(0, len(clean_signal)) / 75,\n", " clean_signal,\n", " label=\"Corrected PPG signal\",\n", " linestyle=\"--\",\n", " color=\"#c44e52\",\n", ")\n", "plt.plot(\n", " np.arange(0, len(signal)) / 75, signal, label=\"Raw PPG signal\", color=\"#4c72b0\"\n", ")\n", "plt.legend()\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"PPG level (a.u)\")\n", "sns.despine()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "02b230ba", "metadata": {}, "source": [ "This concludes the tutorial on using Systole to detect individual heartbeats and to reject common ECG and PPG artefacts. The next tutorial will go further into more nuanced issues in artefact detection and correction." ] }, { "cell_type": "markdown", "id": "36a2331c", "metadata": {}, "source": [ "# System configuration" ] }, { "cell_type": "code", "execution_count": 23, "id": "06e4cda6", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:48.719978Z", "iopub.status.busy": "2025-04-07T06:28:48.719733Z", "iopub.status.idle": "2025-04-07T06:28:48.737477Z", "shell.execute_reply": "2025-04-07T06:28:48.736429Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Mon Apr 07 2025\n", "\n", "Python implementation: CPython\n", "Python version : 3.13.2\n", "IPython version : 9.0.2\n", "\n", "systole: 0.0.0\n", "numba : 0.61.0\n", "\n", "matplotlib: 3.10.1\n", "bokeh : 3.7.2\n", "systole : 0.0.0\n", "seaborn : 0.13.2\n", "sys : 3.13.2 (main, Mar 11 2025, 17:25:02) [Clang 20.1.0 ]\n", "numpy : 2.1.3\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p systole,numba" ] } ], "metadata": { "jupytext": { "formats": "ipynb,md:myst" }, "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": "3.13.2" }, "vscode": { "interpreter": { "hash": "40d3a090f54c6569ab1632332b64b2c03c39dcf918b08424e98f38b5ae0af88f" } } }, "nbformat": 4, "nbformat_minor": 5 }