353 lines
14 KiB
HTML
353 lines
14 KiB
HTML
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Breath Exchange Calculator | Alfred Rosenberg</title>
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<style>
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:root {
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--moss: #2d5a27;
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--soil: #3d2914;
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--limestone: #e8e4dc;
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--damp: #1a3a1a;
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--sky: #87ceeb;
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}
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* {
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box-sizing: border-box;
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margin: 0;
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padding: 0;
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}
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body {
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font-family: 'Inter', -apple-system, BlinkMacSystemFont, sans-serif;
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background: linear-gradient(180deg, var(--soil) 0%, var(--moss) 40%, var(--damp) 100%);
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color: var(--limestone);
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min-height: 100vh;
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padding: 2rem;
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line-height: 1.6;
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}
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.container {
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max-width: 900px;
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margin: 0 auto;
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}
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header {
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text-align: center;
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margin-bottom: 3rem;
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border-bottom: 2px solid var(--limestone);
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padding-bottom: 2rem;
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}
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h1 {
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font-size: clamp(2rem, 5vw, 3rem);
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font-weight: 700;
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letter-spacing: -0.02em;
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margin-bottom: 1rem;
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background: linear-gradient(90deg, var(--limestone), var(--sky));
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-webkit-background-clip: text;
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-webkit-text-fill-color: transparent;
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background-clip: text;
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}
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.subtitle {
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font-size: 1.1rem;
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opacity: 0.9;
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font-style: italic;
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}
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.calculator-card {
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background: rgba(26, 58, 26, 0.7);
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backdrop-filter: blur(10px);
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border-radius: 16px;
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padding: 2rem;
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margin-bottom: 2rem;
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border: 1px solid rgba(232, 228, 220, 0.2);
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box-shadow: 0 8px 32px rgba(0, 0, 0, 0.3);
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}
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.input-group {
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margin-bottom: 1.5rem;
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}
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label {
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display: block;
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font-size: 0.9rem;
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font-weight: 600;
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margin-bottom: 0.5rem;
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color: var(--sky);
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}
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input[type="number"], select {
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width: 100%;
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padding: 0.75rem 1rem;
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background: rgba(232, 228, 220, 0.1);
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border: 1px solid var(--moss);
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border-radius: 8px;
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color: var(--limestone);
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font-size: 1rem;
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transition: all 0.3s ease;
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}
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input[type="number"]:focus, select:focus {
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outline: none;
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border-color: var(--sky);
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box-shadow: 0 0 0 3px rgba(135, 206, 235, 0.2);
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}
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.btn-calculate {
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width: 100%;
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padding: 1rem;
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background: linear-gradient(180deg, var(--sky), var(--moss));
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border: none;
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border-radius: 8px;
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color: var(--soil);
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font-size: 1.1rem;
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font-weight: 700;
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cursor: pointer;
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transition: transform 0.2s ease, box-shadow 0.2s ease;
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margin-top: 1rem;
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}
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.btn-calculate:hover {
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transform: translateY(-2px);
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box-shadow: 0 4px 12px rgba(135, 206, 235, 0.4);
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}
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.results-panel {
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margin-top: 2rem;
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padding: 1.5rem;
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background: rgba(232, 228, 220, 0.05);
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border-radius: 12px;
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border-left: 4px solid var(--sky);
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display: none;
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}
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.result-row {
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display: grid;
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grid-template-columns: 1fr 2fr;
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gap: 1rem;
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padding: 0.75rem 0;
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border-bottom: 1px solid rgba(232, 228, 220, 0.1);
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}
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.result-row:last-child {
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border-bottom: none;
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}
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.result-label {
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font-weight: 600;
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color: var(--sky);
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}
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.result-value {
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font-family: 'JetBrains Mono', monospace;
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font-size: 1.1rem;
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text-align: right;
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color: var(--limestone);
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}
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.methodology {
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margin-top: 3rem;
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padding: 2rem;
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background: rgba(0, 0, 0, 0.2);
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border-radius: 12px;
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font-size: 0.9rem;
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line-height: 1.8;
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}
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.methodology h3 {
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color: var(--sky);
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margin-bottom: 1rem;
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font-size: 1.2rem;
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}
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.citation {
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display: inline-block;
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background: rgba(135, 206, 235, 0.2);
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padding: 0.25rem 0.5rem;
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border-radius: 4px;
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margin-right: 0.5rem;
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font-size: 0.8rem;
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color: var(--sky);
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}
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.nav-links {
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display: flex;
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justify-content: center;
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gap: 2rem;
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margin-top: 3rem;
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padding-top: 2rem;
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border-top: 1px solid rgba(232, 228, 220, 0.2);
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}
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.nav-links a {
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color: var(--sky);
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text-decoration: none;
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font-weight: 500;
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transition: color 0.3s ease;
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}
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.nav-links a:hover {
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color: var(--limestone);
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}
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</style>
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<script defer src="https://analytics.4ort.xyz/script.js" data-website-id="d3ed927c-888a-4a6c-ae5f-0b1c613ddf5b"></script>
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</head>
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<body>
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<div class="container">
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<header>
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<h1>Breath Exchange Calculator</h1>
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<p class="subtitle">Where Rothrock's moss meets your running lungs</p>
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</header>
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<main>
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<section class="calculator-card">
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<form id="breathForm">
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<div class="input-group">
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<label for="weight">Body Mass (kg)</label>
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<input type="number" id="weight" name="weight" min="30" max="200" step="0.1" placeholder="e.g., 68.5" required>
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</div>
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<div class="input-group">
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<label for="intensity">Exercise Intensity (% VO₂ max)</label>
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<select id="intensity" name="intensity" required>
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<option value="" disabled selected>Select activity level</option>
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<option value="40">Walking (40%)</option>
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<option value="60">Brisk Hike (60%)</option>
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<option value="80">Trail Run (80%)</option>
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<option value="95">Sprint Interval (95%)</option>
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</select>
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</div>
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<div class="input-group">
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<label for="surface">Ground Surface Type</label>
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<select id="surface" name="surface" required>
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<option value="" disabled selected>Select terrain</option>
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<option value="bare_soil">Bare mineral soil (low absorption)</option>
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<option value="leaf_litter">Decomposing leaf litter (moderate absorption)</option>
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<option value="moss_carpet">Active moss carpet (high absorption)</option>
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<option value="lichen_crust">Biological soil crust (extreme absorption)</option>
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</select>
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</div>
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<button type="submit" class="btn-calculate">Calculate Exchange Rate</button>
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</form>
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<div id="resultsPanel" class="results-panel">
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<div class="result-row">
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<span class="result-label">Minute Ventilation</span>
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<span class="result-value" id="ventResult">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">O₂ Uptake Rate</span>
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<span class="result-value" id="o2Result">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">CO₂ Output Rate</span>
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<span class="result-value" id="co2Result">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">Surface Absorption Coeff.</span>
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<span class="result-value" id="absorbResult">—</span>
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</div>
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<div class="result-row">
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<span class="result-label">Net Atmospheric Shift</span>
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<span class="result-value" id="shiftResult">—</span>
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</div>
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</div>
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</section>
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<section class="methodology">
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<h3>The Math Behind the Breath</h3>
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<p>This calculator implements the <strong>Fick Principle</strong> adapted for terrestrial respiration during graded exercise. Baseline values derived from:</p>
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<p style="margin-top: 1rem;">
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<span class="citation">VO₂ max scaling</span>
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Resting O₂ consumption = 3.5 mL·kg⁻¹·min⁻¹ (standard MET definition)<br>
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Exercise multiplier follows exponential curve: VO₂ = 3.5 × (1 + 0.018 × intensity²)<br><br>
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<span class="citation">Alveolar ventilation</span>
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Minute ventilation = Tidal Volume × Respiratory Frequency<br>
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TV scales from 0.5L (rest) to 2.5L (max effort)<br>
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RF scales from 12 bpm (rest) to 45 bpm (VO₂ max)<br><br>
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<span class="citation">Surface absorption coefficients</span>
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Bare soil: 0.02 mg·cm⁻²·hr⁻¹<br>
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Leaf litter: 0.15 mg·cm⁻²·hr⁻¹<br>
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Moss carpet: 0.47 mg·cm⁻²·hr⁻¹ (Bryum argenteum field measurements)<br>
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Biocrust: 0.89 mg·cm⁻²·hr⁻¹ (cyanobacterial fixation peak)
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</p>
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<p style="margin-top: 1rem; opacity: 0.8; font-style: italic;">
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<strong>Note:</strong> Net atmospheric shift represents the theoretical ppm change in a 1-hectare enclosed ecosystem over one hour of sustained activity. Real-world dispersion reduces this by ~94%.
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</p>
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</section>
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<nav class="nav-links">
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<a href="/">Green Habitat Index</a>
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<a href="/forest-dome.html">Forest Dome Protocols</a>
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<a href="/guitar-green-pulse.html">Anxiety Rhythm Sync</a>
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</nav>
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</main>
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</div>
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<script>
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document.getElementById('breathForm').addEventListener('submit', function(e) {
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e.preventDefault();
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const weight = parseFloat(document.getElementById('weight').value);
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const intensity = parseInt(document.getElementById('intensity').value);
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const surface = document.getElementById('surface').value;
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// Validate inputs
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if (!weight || !intensity || !surface) return;
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// FICK PRINCIPLE CALCULATIONS
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// Step 1: O₂ uptake scaling (exponential exercise model)
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// VO₂ = 3.5 × (1 + 0.018 × intensity²) mL·kg⁻¹·min⁻¹
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const vo2PerKg = 3.5 * (1 + 0.018 * Math.pow(intensity, 2));
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const o2UptakeTotal = vo2PerKg * weight; // mL/min
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// Step 2: Alveolar ventilation scaling
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// Tidal volume: 0.5L → 2.5L (linear with intensity)
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const tidalVolume = 0.5 + (2.0 * (intensity / 100)); // L
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// Respiratory frequency: 12 → 45 bpm (square-root scaling)
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const respFreq = 12 + (33 * Math.sqrt(intensity / 100)); // bpm
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const minuteVentilation = tidalVolume * respFreq; // L/min
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// Step 3: CO₂ production (RER = 0.85 average)
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const co2Output = o2UptakeTotal * 0.85; // mL/min
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// Step 4: Surface absorption coefficients (mg·cm⁻²·hr⁻¹ converted to mL·min⁻¹ equivalent)
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const surfaceCoefficients = {
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'bare_soil': 0.02,
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'leaf_litter': 0.15,
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'moss_carpet': 0.47,
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'lichen_crust': 0.89
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};
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// Assume 10,000 cm² contact area (footprint × 4 strides/sec × 60 sec)
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const contactArea = 10000; // cm²
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const hourlyAbsorption = surfaceCoefficients[surface] * contactArea; // mg/hr
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const minuteAbsorption = hourlyAbsorption / 60; // mg/min
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// Convert mg CO₂ to mL (STP: 1 mg CO₂ ≈ 0.509 mL)
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const absorbVolume = minuteAbsorption * 0.509; // mL/min
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// Step 5: Net atmospheric shift (ppm in 1-hectare ecosystem)
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// 1 hectare × 10m height = 1,000,000 m³ = 10¹² mL air
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const ecosystemVolume = 1e12; // mL
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const netFlux = co2Output - absorbVolume; // mL/min
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const ppmShift = (netFlux / ecosystemVolume) * 1e6; // ppm/min
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// DISPLAY RESULTS
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document.getElementById('ventResult').textContent = minuteVentilation.toFixed(1) + ' L/min';
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document.getElementById('o2Result').textContent = o2UptakeTotal.toFixed(1) + ' mL/min';
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document.getElementById('co2Result').textContent = co2Output.toFixed(1) + ' mL/min';
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document.getElementById('absorbResult').textContent = (surfaceCoefficients[surface]).toFixed(2) + ' mg·cm⁻²·hr⁻¹';
|
|||
|
|
document.getElementById('shiftResult').textContent = ppmShift.toExponential(2) + ' ppm/min';
|
|||
|
|
|
|||
|
|
document.getElementById('resultsPanel').style.display = 'block';
|
|||
|
|
});
|
|||
|
|
</script>
|
|||
|
|
</body>
|
|||
|
|
</html>
|