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<meta name='viewport' content='width=device-width, initial-scale=1'/><!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Metabolic Life-History Simulator v3</title>
<script src="https://cdn.jsdelivr.net/npm/chart.js@4.4.0/dist/chart.umd.min.js"></script>
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</head>
<body>
<div class="page">
<header>
<div class="eyebrow">Computational Physiology · v3.0 | License: GNU GPL v3. Copyright (C) [2026] [Prof. Jyotirmay Kirtania]| 2.5 Billion Heart Beats: Your finite biological capital. Will you spend it all on the friction of the daily grind, or invest in the uncomfortable sprints that buy back your future?
</div>
<h1>Metabolic <em>Life-History</em> Simulator</h1>
<p class="subtitle">
Your heart has a budget of roughly 2.5 billion beats. How you spend it -- and how you
<em>strengthen</em> it -- determines longevity. This model distinguishes three physiologically
distinct activity tiers: voluntary exercise, activities of daily living (ADL), and acute
survival stress. Each has a different biological cost and adaptive value.
</p>
</header>
<!-- ────────────────────────────────────────────
TIER 0 -- Cardiac Baseline
──────────────────────────────────────────── -->
<div class="grid-2">
<div class="panel t-cardiac">
<div class="tier-heading">
<span class="tier-dot" style="background:var(--c-cardiac)"></span>
Tier 0 -- Cardiac Baseline
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Resting Heart Rate</span>
<span class="ctrl-value" id="hr_val" style="color:var(--c-cardiac)">60 BPM</span>
</div>
<div class="ctrl-hint">Lower = fewer beats spent at rest. Athletes often 40–50 BPM.</div>
<input type="range" class="cardiac" id="hr" min="40" max="100" value="60" step="1">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Mean Arterial Pressure</span>
<span class="ctrl-value" id="map_val" style="color:var(--c-cardiac)">90 mmHg</span>
</div>
<div class="ctrl-hint">Afterload proxy. Hypertension above 90 mmHg accelerates wear.</div>
<input type="range" class="cardiac" id="map" min="60" max="140" value="90" step="1">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Vagal Tone Index (HRV)</span>
<span class="ctrl-value" id="vagal_val" style="color:var(--c-cardiac)">1.00×</span>
</div>
<div class="ctrl-hint">Heart Rate Variability -- higher = better recovery capacity. 1× = average.</div>
<input type="range" class="cardiac" id="vagal" min="0.7" max="1.5" value="1.0" step="0.05">
</div>
</div>
<!-- ────────────────────────────────────────────
TIER 1 -- Voluntary Exercise
──────────────────────────────────────────── -->
<div class="panel t-exercise">
<div class="tier-heading">
<span class="tier-dot" style="background:var(--c-exercise)"></span>
Tier 1 -- Voluntary Exercise
<span class="tip-icon" title="Planned, chosen exercise. Produces adaptive benefits: stroke volume, mitochondrial density, vagal tone. Costs beats but pays dividends.">?</span>
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Moderate Activity</span>
<span class="ctrl-value" id="mod_val" style="color:var(--c-exercise)">5 hrs/wk</span>
</div>
<div class="ctrl-hint">Walking, cycling, swimming -- avg. 100 BPM. Primarily aerobic adaptation.</div>
<input type="range" class="exercise" id="mod" min="0" max="25" value="5" step="0.5">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">High-Intensity / Sprint</span>
<span class="ctrl-value" id="sprint_val" style="color:var(--c-exercise)">2.0 hrs/wk</span>
</div>
<div class="ctrl-hint">HIIT, intervals, hard running. Peak HR reached. Strongest adaptive signal.</div>
<input type="range" class="exercise" id="sprint" min="0" max="15" value="2" step="0.5">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Peak Exercise HR</span>
<span class="ctrl-value" id="hrmax_val" style="color:var(--c-exercise)">160 BPM</span>
</div>
<div class="ctrl-hint">Your HR ceiling during high-intensity bouts. Independent of resting HR.</div>
<input type="range" class="exercise" id="hrmax" min="100" max="200" value="160" step="5">
</div>
</div>
</div>
<!-- ────────────────────────────────────────────
TIER 2 -- Activities of Daily Living (ADL)
──────────────────────────────────────────── -->
<div class="grid-2">
<div class="panel t-adl">
<div class="tier-heading">
<span class="tier-dot" style="background:var(--c-adl)"></span>
Tier 2 -- Activities of Daily Living (ADL)
<span class="tip-icon" title="Unplanned functional exertion: stairs, carrying loads, rushing for transport, manual labour. Produces partial adaptive benefit without full recovery planning.">?</span>
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">ADL Burst Frequency</span>
<span class="ctrl-value" id="adl_freq_val" style="color:var(--c-adl)">8 /day</span>
</div>
<div class="ctrl-hint">Brief exertions per day: stair climbs, carrying groceries, rushing.</div>
<input type="range" class="adl" id="adl_freq" min="0" max="40" value="8" step="1">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">ADL Burst Duration</span>
<span class="ctrl-value" id="adl_dur_val" style="color:var(--c-adl)">2 min each</span>
</div>
<div class="ctrl-hint">Average length of each ADL burst. 1–3 min is typical.</div>
<input type="range" class="adl" id="adl_dur" min="0.5" max="10" value="2" step="0.5">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">ADL Peak HR</span>
<span class="ctrl-value" id="adl_hr_val" style="color:var(--c-adl)">120 BPM</span>
</div>
<div class="ctrl-hint">Typical: stair dash ~120, heavy carry ~110, brisk rushing ~130 BPM.</div>
<input type="range" class="adl" id="adl_hr" min="90" max="160" value="120" step="5">
</div>
</div>
<!-- ────────────────────────────────────────────
TIER 3 -- Acute Survival Stress
──────────────────────────────────────────── -->
<div class="panel t-survival">
<div class="tier-heading">
<span class="tier-dot" style="background:var(--c-survival)"></span>
Tier 3 -- Acute Survival / Threat Stress
<span class="tip-icon" title="Fight-or-flight events: accidents, confrontations, near-misses, extreme fear. Involuntary, cortisol + adrenaline-driven. Short-term beneficial; chronically damaging via allostatic overload.">?</span>
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Survival Events / Year</span>
<span class="ctrl-value" id="surv_freq_val" style="color:var(--c-survival)">12 /yr</span>
</div>
<div class="ctrl-hint">Acute high-threat moments -- near-accidents, severe confrontations, emergencies.</div>
<input type="range" class="survival" id="surv_freq" min="0" max="100" value="12" step="1">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Cortisol Load Index</span>
<span class="ctrl-value" id="surv_cortisol_val" style="color:var(--c-survival)">1.0×</span>
</div>
<div class="ctrl-hint">Chronic background stress level. Higher = slower recovery from each event. 1× = moderate life stress.</div>
<input type="range" class="survival" id="surv_cortisol" min="0.5" max="3.0" value="1.0" step="0.1">
</div>
<div class="control">
<div class="ctrl-row">
<span class="ctrl-label">Acute HR Spike</span>
<span class="ctrl-value" id="surv_hr_val" style="color:var(--c-survival)">175 BPM</span>
</div>
<div class="ctrl-hint">HR reached during a peak threat response. Often near-maximal (170–190 BPM).</div>
<input type="range" class="survival" id="surv_hr" min="140" max="200" value="175" step="5">
</div>
</div>
</div>
<!-- ────────────────────────────────────────────
RESULTS
──────────────────────────────────────────── -->
<div class="panel full" style="margin-top:0">
<div class="tier-heading" style="border-bottom-color:var(--rule)">
<span class="tier-dot" style="background:var(--ink)"></span>
Simulation Output
</div>
<div class="warning" id="warn_banner"></div>
<!-- Key metrics -->
<div class="metric-grid">
<div class="metric primary">
<div class="metric-label">Adjusted Lifespan</div>
<div class="metric-num" id="r_adj">--<span class="metric-unit">yrs</span></div>
</div>
<div class="metric">
<div class="metric-label">Raw Beat Budget</div>
<div class="metric-num" id="r_raw">--<span class="metric-unit">yrs</span></div>
</div>
<div class="metric pos">
<div class="metric-label">Adaptive Fitness Bonus</div>
<div class="metric-num" id="r_fit">--<span class="metric-unit">%</span></div>
</div>
<div class="metric neg">
<div class="metric-label">Survival Stress Penalty</div>
<div class="metric-num" id="r_surv">−--<span class="metric-unit">%</span></div>
</div>
<div class="metric">
<div class="metric-label">Afterload Penalty</div>
<div class="metric-num" id="r_map">−--<span class="metric-unit">%</span></div>
</div>
<div class="metric">
<div class="metric-label">Weekly Cardiac Work</div>
<div class="metric-num" id="r_work">--<span class="metric-unit">×10⁶ b·mmHg</span></div>
</div>
</div>
<!-- Stress composition bar -->
<div class="stress-bar-wrap">
<div class="stress-bar-label">Weekly beat composition -- where your heartbeats go</div>
<div class="stress-bar">
<div class="sb-seg" id="sb_rest" style="background:#d1d5db"></div>
<div class="sb-seg" id="sb_mod" style="background:var(--c-exercise)"></div>
<div class="sb-seg" id="sb_sprint" style="background:#15803d"></div>
<div class="sb-seg" id="sb_adl" style="background:var(--c-adl)"></div>
<div class="sb-seg" id="sb_surv" style="background:var(--c-survival)"></div>
</div>
<div class="sb-legend">
<div class="sb-legend-item"><div class="sb-swatch" style="background:#d1d5db"></div>Rest</div>
<div class="sb-legend-item"><div class="sb-swatch" style="background:var(--c-exercise)"></div>Moderate exercise</div>
<div class="sb-legend-item"><div class="sb-swatch" style="background:#15803d"></div>Sprint / HIIT</div>
<div class="sb-legend-item"><div class="sb-swatch" style="background:var(--c-adl)"></div>ADL bursts</div>
<div class="sb-legend-item"><div class="sb-swatch" style="background:var(--c-survival)"></div>Survival stress</div>
</div>
</div>
<!-- Charts -->
<div class="chart-row">
<div>
<div class="chart-title">Lifespan adjustment pipeline</div>
<div class="chart-wrap"><canvas id="waterfallChart"></canvas></div>
</div>
<div>
<div class="chart-title">Adaptive vs. stress balance</div>
<div class="chart-wrap"><canvas id="balanceChart"></canvas></div>
</div>
</div>
</div>
<footer>
<strong>Model notes --</strong>
The 2.5 × 10⁹ beat budget is an empirical cross-species allometric constant.
<strong>ADL bursts</strong> contribute a partial adaptive benefit (~40% of equivalent exercise dose)
because they lack warm-up, cool-down, and structured recovery.
<strong>Survival stress</strong> events cost cardiac beats directly (high HR spike) but also impose
a cortisol-mediated allostatic penalty: each event under chronic stress load shortens recovery and degrades vagal tone over time. This is modelled as a multiplicative penalty on
the beat budget. Afterload penalty applies above 80 mmHg MAP.
<em>Not a clinical tool. Educational tool for learning physiology.</em>
</footer>
</div>
<script>
const $ = id => document.getElementById(id);
const fmt = (n, d=1) => isFinite(n) ? n.toFixed(d) : '--';
/* ── Slider registry ── */
const sliders = [
{ id:'hr', disp:'hr_val', fmt: v => v+' BPM' },
{ id:'map', disp:'map_val', fmt: v => v+' mmHg' },
{ id:'vagal', disp:'vagal_val', fmt: v => parseFloat(v).toFixed(2)+'×' },
{ id:'mod', disp:'mod_val', fmt: v => v+' hrs/wk' },
{ id:'sprint', disp:'sprint_val', fmt: v => parseFloat(v).toFixed(1)+' hrs/wk' },
{ id:'hrmax', disp:'hrmax_val', fmt: v => v+' BPM' },
{ id:'adl_freq', disp:'adl_freq_val', fmt: v => v+' /day' },
{ id:'adl_dur', disp:'adl_dur_val', fmt: v => parseFloat(v).toFixed(1)+' min each' },
{ id:'adl_hr', disp:'adl_hr_val', fmt: v => v+' BPM' },
{ id:'surv_freq', disp:'surv_freq_val', fmt: v => v+' /yr' },
{ id:'surv_cortisol',disp:'surv_cortisol_val', fmt: v => parseFloat(v).toFixed(1)+'×' },
{ id:'surv_hr', disp:'surv_hr_val', fmt: v => v+' BPM' },
];
sliders.forEach(s => {
const el = $(s.id), disp = $(s.disp);
const upd = () => { disp.textContent = s.fmt(el.value); };
el.addEventListener('input', () => { upd(); runSim(); });
upd();
});
/* ════════════════════════════════════════════
SIMULATION MODEL
════════════════════════════════════════════
Three-tier stress model:
T0 -- Cardiac baseline (rest)
T1 -- Voluntary exercise: adaptive, planned, recoverable
T2 -- ADL bursts: partially adaptive, unplanned
T3 -- Survival stress: cortisol-mediated, allostatic penalty
Output lifespan:
raw_years = BUDGET / (weekly_beats × WEEKS_YR)
adj_years = raw_years
÷ map_penalty
× (1 + fitness_bonus) [T1 + partial T2]
× (1 - survival_penalty) [T3 + cortisol]
*/
function simulate() {
const BUDGET = 2.5e9;
const WEEKS_YR = 52.1775;
const MINS_WEEK = 7 * 24 * 60;
const MAP_OPT = 80;
const hr_rest = +$('hr').value;
const map = +$('map').value;
const vagal = +$('vagal').value;
const mod_hw = +$('mod').value;
const sprint_hw = +$('sprint').value;
const hr_peak = +$('hrmax').value;
const adl_freq = +$('adl_freq').value; // per day
const adl_dur = +$('adl_dur').value; // minutes each
const adl_hr = +$('adl_hr').value;
const surv_freq = +$('surv_freq').value; // per year
const cortisol = +$('surv_cortisol').value;
const surv_hr = +$('surv_hr').value;
const warnings = [];
if (hr_peak <= hr_rest) warnings.push('Peak exercise HR should exceed resting HR.');
if (adl_hr <= hr_rest) warnings.push('ADL HR should exceed resting HR.');
/* ── Time accounting (mins/week) ── */
const sprint_m = sprint_hw * 60;
const mod_m = mod_hw * 60;
const adl_m = adl_freq * adl_dur * 7; // per week
const surv_m = (surv_freq / WEEKS_YR) * 5; // avg ~5 min per event, weekly avg
const used_m = sprint_m + mod_m + adl_m + surv_m;
const rest_m = Math.max(MINS_WEEK - used_m, 0);
if (used_m > MINS_WEEK) warnings.push('Total active time exceeds 168 hrs/week -- rest capped at zero.');
/* ── Weekly beats by tier ── */
const b_rest = rest_m * hr_rest;
const b_mod = mod_m * 100; // avg 100 BPM for moderate
const b_sprint = sprint_m * hr_peak;
const b_adl = adl_m * adl_hr;
const b_surv = surv_m * surv_hr;
const b_total = b_rest + b_mod + b_sprint + b_adl + b_surv;
/* ── Raw lifespan from beat budget ── */
const raw_years = BUDGET / (b_total * WEEKS_YR);
/* ── T0: Afterload penalty (MAP > 80 mmHg) ── */
const map_excess = Math.max(map - MAP_OPT, 0);
const map_penalty = 1 + (map_excess / MAP_OPT) * 0.35;
const map_pct = (map_penalty - 1) * 100;
/* ── T1 + partial T2: Adaptive fitness bonus ── */
// Voluntary sprint/HIIT: strongest signal
// Moderate exercise: good signal
// ADL bursts: ~40% the adaptive value of equivalent planned exercise
// (no structured warm-up/cool-down, no recovery optimisation)
const adl_hw_equiv = (adl_m / 60) * 0.40; // hours/week equivalent
const ex_dose = sprint_hw * 1.5 + mod_hw * 0.6 + adl_hw_equiv;
const fit_bonus = Math.min(Math.log1p(ex_dose) * 0.09 * vagal, 0.32);
const fit_pct = fit_bonus * 100;
/* ── T3: Survival stress penalty ── */
// Each event: direct beat cost (already counted above) PLUS
// cortisol-mediated allostatic damage:
// - degrades vagal tone recovery
// - chronic cortisol above baseline accelerates arterial stiffening
// - modelled as fractional lifespan reduction per event × cortisol load
// Base damage per event: 0.0004 (calibrated ~5 yr hit at 100 events/yr, cortisol=1)
// Cortisol scales damage superlinearly above 1× baseline
const cortisol_amp = Math.pow(cortisol, 1.6); // superlinear above 1×
const surv_damage = surv_freq * 0.0004 * cortisol_amp;
const surv_penalty = Math.min(surv_damage, 0.45); // cap at 45% penalty
const surv_pct = surv_penalty * 100;
/* ── However: moderate survival events harden stress resilience ──
The hormesis principle: occasional high-stress events (< ~20/yr) with low
cortisol load improve glucocorticoid receptor sensitivity.
This is an additive bonus on top of fitness, capped small. */
const hormesis = (cortisol <= 1.5)
? Math.min(surv_freq * 0.0015 * (1.5 - cortisol), 0.06)
: 0;
/* ── Final adjusted lifespan ── */
const adj_years = (raw_years / map_penalty)
* (1 + fit_bonus + hormesis)
* (1 - surv_penalty);
/* ── Beat composition fractions (for stacked bar) ── */
const frac = v => b_total > 0 ? v / b_total : 0;
return {
raw_years, adj_years,
map_pct, fit_pct, surv_pct,
hormesis_pct: hormesis * 100,
workload: (b_total * map) / 1e6,
warnings,
// beat fractions
f_rest: frac(b_rest),
f_mod: frac(b_mod),
f_sprint: frac(b_sprint),
f_adl: frac(b_adl),
f_surv: frac(b_surv),
// waterfall intermediates
after_map: (raw_years / map_penalty),
after_fit: (raw_years / map_penalty) * (1 + fit_bonus + hormesis),
};
}
/* ── Charts ── */
let waterfallChart, balanceChart;
function initCharts() {
// Waterfall / pipeline bar chart
waterfallChart = new Chart($('waterfallChart').getContext('2d'), {
type: 'bar',
data: {
labels: ['Raw Budget', '÷ Afterload', '× Fitness', '× Survival'],
datasets: [{
data: [0,0,0,0],
backgroundColor: ['#9ca3af','#6b7280','#16a34a','#dc2626'],
borderWidth: 0, borderRadius: 3,
}]
},
options: {
responsive: true, maintainAspectRatio: false,
plugins: { legend: { display: false },
tooltip: { callbacks: { label: c => ` ${c.raw.toFixed(1)} yrs` } } },
scales: {
x: { grid: { display: false }, ticks: { font: { family:"'DM Mono',monospace", size:9 }, color:'#666' } },
y: { grid: { color:'#f0f0f0' }, ticks: { font: { family:"'DM Mono',monospace", size:9 }, color:'#666', callback: v => v+'yr' } }
}
}
});
// Balance doughnut -- adaptive vs stress
balanceChart = new Chart($('balanceChart').getContext('2d'), {
type: 'doughnut',
data: {
labels: ['Fitness gain', 'ADL hormesis', 'Afterload cost', 'Survival cost'],
datasets: [{
data: [0,0,0,0],
backgroundColor: ['#16a34a','#84cc16','#6b7280','#dc2626'],
borderWidth: 2, borderColor: '#fff',
}]
},
options: {
responsive: true, maintainAspectRatio: false,
cutout: '60%',
plugins: {
legend: { position:'bottom', labels:{ font:{ family:"'DM Mono',monospace", size:9 }, color:'#666', boxWidth:10, padding:8 } },
tooltip: { callbacks: { label: c => ` ${c.raw.toFixed(1)}%` } }
}
}
});
}
/* ── Update UI ── */
function runSim() {
const r = simulate();
$('r_adj').innerHTML = fmt(r.adj_years) + '<span class="metric-unit">yrs</span>';
$('r_raw').innerHTML = fmt(r.raw_years) + '<span class="metric-unit">yrs</span>';
$('r_fit').innerHTML = '+' + fmt(r.fit_pct, 1) + '<span class="metric-unit">%</span>';
$('r_surv').innerHTML = '−' + fmt(r.surv_pct, 1) + '<span class="metric-unit">%</span>';
$('r_map').innerHTML = '−' + fmt(r.map_pct, 1) + '<span class="metric-unit">%</span>';
$('r_work').innerHTML = fmt(r.workload, 1) + '<span class="metric-unit">×10⁶ b·mmHg</span>';
// Beat composition bar
const pct = f => (f * 100).toFixed(1) + '%';
$('sb_rest').style.width = pct(r.f_rest);
$('sb_mod').style.width = pct(r.f_mod);
$('sb_sprint').style.width = pct(r.f_sprint);
$('sb_adl').style.width = pct(r.f_adl);
$('sb_surv').style.width = pct(r.f_surv);
// Waterfall
waterfallChart.data.datasets[0].data = [r.raw_years, r.after_map, r.after_fit, r.adj_years];
waterfallChart.update('none');
// Balance doughnut (absolute % values for visual balance)
balanceChart.data.datasets[0].data = [
Math.max(r.fit_pct, 0.1),
Math.max(r.hormesis_pct, 0.1),
Math.max(r.map_pct, 0.1),
Math.max(r.surv_pct, 0.1),
];
balanceChart.update('none');
// Warnings
const wb = $('warn_banner');
if (r.warnings.length) { wb.textContent = '⚠ ' + r.warnings.join(' '); wb.classList.add('visible'); }
else { wb.classList.remove('visible'); }
}
initCharts();
runSim();
</script>
</body>
</html>