Cardiac Pulse & ECG

Biomedical cardiovascular simulation combining the classic mathematical cardioid heart contraction with a multi-Gaussian P-QRS-T electrocardiogram trace.

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60 FPS • Canvas 2D

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Live Parameters

Heart Rate (BPM) 72

Beats per minute cardiac frequency

Mathematical Formulation

85 chars high

Analytical Equation

V_{\text{ECG}}(t) = \sum_{i \in \{P, Q, R, S, T\}} a_i \exp\left( -\frac{(t - \mu_i)^2}{2\sigma_i^2} \right), \quad x(t) = 16\sin^3(t), \quad y(t) = -(13\cos t - 5\cos 2t - 2\cos 3t - \cos 4t)

Compact Formula

ecg(t) = P(0.18) + Q(-0.15) + R(1.0) + S(-0.3) + T(0.35), heart_scale = 1 + 0.22*ecg

Renderer Logic

const rWave = 1.0 * Math.exp(-Math.pow((p - 0.4) / 0.02, 2));
const hx = 16 * Math.pow(Math.sin(phi), 3) * 6;
const hy = -(13 * Math.cos(phi) - 5 * Math.cos(2 * phi) - 2 * Math.cos(3 * phi) - Math.cos(4 * phi)) * 6;

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#heart #cardiac #ecg #anatomy #biology #cardioid #pulse

Author: Math Art Core Target: 60 FPS

Cardiac Pulse & ECG

Live Parameters

Mathematical Formulation

Mathematical Tags

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