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index.html
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| 1 |
+
<!DOCTYPE html>
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| 2 |
<html>
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+
<head>
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<title>Cancer Game Theory</title>
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+
<style>
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+
body {
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font-family: Arial, sans-serif;
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margin: 20px;
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background-color: #f0f8ff;
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}
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.header {
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text-align: center;
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padding: 20px;
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background-color: #1e3799;
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color: white;
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border-radius: 10px;
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margin-bottom: 20px;
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}
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.header h1 {
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margin: 0;
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font-size: 2.5em;
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}
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.rules {
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background-color: #e8f4f8;
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padding: 20px;
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border-radius: 10px;
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margin: 20px 0;
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border: 2px solid #1e3799;
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}
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.rules h2 {
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color: #1e3799;
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margin-top: 0;
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}
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.rules ul {
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line-height: 1.6;
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}
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canvas {
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border: 2px solid #1e3799;
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margin: 10px 0;
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border-radius: 5px;
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}
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.controls {
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margin: 10px 0;
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padding: 15px;
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border: 2px solid #1e3799;
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border-radius: 5px;
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background-color: white;
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}
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.param-group {
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margin: 10px 0;
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padding: 10px;
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border-left: 4px solid #1e3799;
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background-color: #f8f9fa;
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}
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.footer {
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text-align: center;
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margin-top: 20px;
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| 58 |
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padding: 10px;
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color: #666;
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font-size: 0.9em;
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}
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button {
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background-color: #1e3799;
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color: white;
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border: none;
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padding: 10px 20px;
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border-radius: 5px;
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cursor: pointer;
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margin: 5px;
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}
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button:hover {
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background-color: #0c2461;
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}
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| 74 |
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</style>
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| 75 |
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</head>
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| 76 |
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<body>
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| 77 |
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<div class="header">
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| 78 |
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<h1>Cancer Game Theory</h1>
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| 79 |
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</div>
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| 80 |
+
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| 81 |
+
<div class="rules">
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| 82 |
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<h2>Simulation Rules</h2>
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| 83 |
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<ul>
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| 84 |
+
<li>🦠 Cancer cells die when surrounded by 3+ cells within 40px</li>
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| 85 |
+
<li>🩺 Cancer cells convert isolated healthy cells (no nearby healthy)</li>
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| 86 |
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<li>🧬 Cells reproduce based on type-specific rates</li>
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| 87 |
+
<li>⚡ Cancer cells move faster than healthy cells</li>
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| 88 |
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<li>🧠 Neural networks control movement decisions</li>
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| 89 |
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<li>🎮 Adjust parameters below to influence outcomes</li>
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| 90 |
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</ul>
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| 91 |
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</div>
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| 92 |
+
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| 93 |
+
<div class="controls">
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| 94 |
+
<h2>Simulation Parameters</h2>
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| 95 |
+
<div class="param-group">
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| 96 |
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<label>Initial Healthy: <input type="number" id="initialHealthy" value="15" min="1"></label>
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| 97 |
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<label>Initial Cancer: <input type="number" id="initialCancer" value="8" min="1"></label>
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| 98 |
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<label>Mutation Rate: <input type="number" id="mutationRate" value="0.1" step="0.01" min="0"></label>
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| 99 |
+
<label>Healthy Repro Rate: <input type="number" id="healthyRepro" value="2" min="0"></label>
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| 100 |
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<label>Cancer Repro Rate: <input type="number" id="cancerRepro" value="1" min="0"></label>
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| 101 |
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</div>
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| 102 |
+
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| 103 |
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<button id="start">Start</button>
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| 104 |
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<button id="reset">Reset</button>
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| 105 |
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<div id="status">
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| 106 |
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Generation: <span id="genCount">1</span> |
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| 107 |
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Healthy: <span id="healthyCount">0</span> |
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| 108 |
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Cancer: <span id="cancerCount">0</span>
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| 109 |
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</div>
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| 110 |
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</div>
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| 111 |
+
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| 112 |
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<canvas id="simCanvas" width="800" height="500"></canvas>
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| 113 |
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| 114 |
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<div class="footer">
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| 115 |
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<p>Developed by Julian Herrera | For Biology LQHS</p>
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| 116 |
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<p>Simulation Purpose: Demonstrate evolutionary game theory in cancer biology</p>
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| 117 |
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</div>
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| 118 |
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| 119 |
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<script>
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| 120 |
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const canvas = document.getElementById('simCanvas');
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| 121 |
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const ctx = canvas.getContext('2d');
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| 122 |
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let cells = [];
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| 123 |
+
let animationId;
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| 124 |
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let generation = 1;
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| 125 |
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let frameCount = 0;
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| 126 |
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const cellRadius = 5;
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| 127 |
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| 128 |
+
function getNormal(mean = 0, std = 1) {
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| 129 |
+
let u, v, s;
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| 130 |
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do {
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| 131 |
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u = Math.random() * 2 - 1;
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| 132 |
+
v = Math.random() * 2 - 1;
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| 133 |
+
s = u * u + v * v;
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| 134 |
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} while (s >= 1 || s === 0);
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| 135 |
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s = Math.sqrt(-2 * Math.log(s)/s);
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| 136 |
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return mean + std * u * s;
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| 137 |
+
}
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| 138 |
+
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| 139 |
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class NeuralNetwork {
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| 140 |
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constructor(parent = null) {
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| 141 |
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if(parent) {
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| 142 |
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this.weights1 = parent.weights1.map(row =>
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| 143 |
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row.map(w => w + getNormal(0, parseFloat(document.getElementById('mutationRate').value)))
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| 144 |
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);
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| 145 |
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this.weights2 = parent.weights2.map(row =>
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| 146 |
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row.map(w => w + getNormal(0, parseFloat(document.getElementById('mutationRate').value)))
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| 147 |
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);
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| 148 |
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} else {
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| 149 |
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this.weights1 = Array.from({length: 8}, () =>
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| 150 |
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Array.from({length: 4}, () => getNormal(0, 1)));
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| 151 |
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this.weights2 = Array.from({length: 4}, () =>
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| 152 |
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Array.from({length: 2}, () => getNormal(0, 1)));
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| 153 |
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}
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| 154 |
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}
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| 155 |
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| 156 |
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activate(x) {
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| 157 |
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return x; // Linear activation for unlimited speed
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| 158 |
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}
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| 159 |
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| 160 |
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predict(inputs) {
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| 161 |
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const hidden = this.weights1[0].map((_, i) =>
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| 162 |
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this.activate(inputs.reduce((sum, val, j) => sum + val * this.weights1[j][i], 0))
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| 163 |
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);
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| 164 |
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return this.weights2[0].map((_, i) =>
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| 165 |
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this.activate(hidden.reduce((sum, val, j) => sum + val * this.weights2[j][i], 0))
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| 166 |
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);
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| 167 |
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}
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| 168 |
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}
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| 169 |
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| 170 |
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class Cell {
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| 171 |
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constructor(type, parent = null) {
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| 172 |
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this.type = type;
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| 173 |
+
this.brain = parent ? new NeuralNetwork(parent.brain) : new NeuralNetwork();
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| 174 |
+
this.x = parent ?
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| 175 |
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parent.x + (Math.random() * 40 - 20) :
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| 176 |
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Math.random() * canvas.width;
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| 177 |
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this.y = parent ?
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| 178 |
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parent.y + (Math.random() * 40 - 20) :
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| 179 |
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Math.random() * canvas.height;
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| 180 |
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}
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| 181 |
+
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| 182 |
+
getNearbyCells() {
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| 183 |
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return cells.filter(c => c !== this)
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| 184 |
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.map(c => ({
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| 185 |
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dx: c.x - this.x,
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| 186 |
+
dy: c.y - this.y,
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| 187 |
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dist: Math.hypot(c.x - this.x, c.y - this.y),
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| 188 |
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type: c.type
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| 189 |
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})).sort((a, b) => a.dist - b.dist).slice(0, 4);
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| 190 |
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}
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| 191 |
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| 192 |
+
update() {
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| 193 |
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const nearby = this.getNearbyCells();
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| 194 |
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const inputs = [];
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| 195 |
+
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| 196 |
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for(let i = 0; i < 4; i++) {
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| 197 |
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inputs.push(nearby[i] ? nearby[i].dist / 800 : 0);
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| 198 |
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inputs.push(nearby[i] ? (nearby[i].type === 'healthy' ? 0 : 1) : 0);
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| 199 |
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}
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| 200 |
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| 201 |
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const [vx, vy] = this.brain.predict(inputs);
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| 202 |
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// Unlimited speed based on neural network output
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| 204 |
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this.x += vx;
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| 205 |
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this.y += vy;
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| 206 |
+
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| 207 |
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// Cancer cells get inherent speed boost
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| 208 |
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if(this.type === 'cancer') {
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| 209 |
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this.x += vx * 0.5; // Additional 50% speed boost
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| 210 |
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this.y += vy * 0.5;
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| 211 |
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}
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| 212 |
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| 213 |
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// Wrap around edges
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| 214 |
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this.x = (this.x + canvas.width) % canvas.width;
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| 215 |
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this.y = (this.y + canvas.height) % canvas.height;
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| 216 |
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}
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| 217 |
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| 218 |
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draw() {
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| 219 |
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ctx.fillStyle = this.type === 'healthy' ? '#00ff00' : '#ff0000';
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ctx.beginPath();
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| 221 |
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ctx.arc(this.x, this.y, cellRadius, 0, Math.PI * 2);
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| 222 |
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ctx.fill();
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| 223 |
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}
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| 224 |
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}
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| 225 |
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| 226 |
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function checkCollisions() {
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| 227 |
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cells.forEach((cell, i) => {
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| 228 |
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if(cell.type === 'cancer') {
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| 229 |
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const neighbors = cells.filter(c => c !== cell &&
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| 230 |
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Math.hypot(c.x - cell.x, c.y - cell.y) < 40);
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| 231 |
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if(neighbors.length >= 3) {
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| 232 |
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cells.splice(i, 1);
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| 233 |
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return;
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| 234 |
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}
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| 235 |
+
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| 236 |
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cells.forEach((other) => {
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| 237 |
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if(other.type === 'healthy' &&
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| 238 |
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Math.hypot(cell.x - other.x, cell.y - other.y) < cellRadius * 2) {
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| 239 |
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const healthyNeighbors = cells.filter(c =>
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| 240 |
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c !== other && c.type === 'healthy' &&
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| 241 |
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Math.hypot(c.x - other.x, c.y - other.y) < 60
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| 242 |
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);
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| 243 |
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if(healthyNeighbors.length === 0) {
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| 244 |
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other.type = 'cancer';
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| 245 |
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}
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| 246 |
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}
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| 247 |
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});
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| 248 |
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}
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| 249 |
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});
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| 250 |
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}
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| 251 |
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| 252 |
+
function reproduceCells() {
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| 253 |
+
const healthyReproRate = parseInt(document.getElementById('healthyRepro').value);
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| 254 |
+
const healthyCells = cells.filter(c => c.type === 'healthy');
|
| 255 |
+
const healthyCandidates = [...healthyCells].sort(() => Math.random() - 0.5).slice(0, healthyReproRate);
|
| 256 |
+
healthyCandidates.forEach(cell => cells.push(new Cell('healthy', cell)));
|
| 257 |
+
|
| 258 |
+
const cancerReproRate = parseInt(document.getElementById('cancerRepro').value);
|
| 259 |
+
const cancerCells = cells.filter(c => c.type === 'cancer');
|
| 260 |
+
const cancerCandidates = [...cancerCells].sort(() => Math.random() - 0.5).slice(0, cancerReproRate);
|
| 261 |
+
cancerCandidates.forEach(cell => cells.push(new Cell('cancer', cell)));
|
| 262 |
+
}
|
| 263 |
+
|
| 264 |
+
function updateStatus() {
|
| 265 |
+
document.getElementById('genCount').textContent = generation;
|
| 266 |
+
document.getElementById('healthyCount').textContent =
|
| 267 |
+
cells.filter(c => c.type === 'healthy').length;
|
| 268 |
+
document.getElementById('cancerCount').textContent =
|
| 269 |
+
cells.filter(c => c.type === 'cancer').length;
|
| 270 |
+
}
|
| 271 |
+
|
| 272 |
+
function animate() {
|
| 273 |
+
ctx.clearRect(0, 0, canvas.width, canvas.height);
|
| 274 |
+
|
| 275 |
+
frameCount++;
|
| 276 |
+
if(frameCount % 60 === 0) {
|
| 277 |
+
generation++;
|
| 278 |
+
reproduceCells();
|
| 279 |
+
updateStatus();
|
| 280 |
+
}
|
| 281 |
+
|
| 282 |
+
cells.forEach(cell => cell.update());
|
| 283 |
+
checkCollisions();
|
| 284 |
+
cells.forEach(cell => cell.draw());
|
| 285 |
+
|
| 286 |
+
animationId = requestAnimationFrame(animate);
|
| 287 |
+
}
|
| 288 |
+
|
| 289 |
+
document.getElementById('start').addEventListener('click', () => {
|
| 290 |
+
if(!animationId) animate();
|
| 291 |
+
});
|
| 292 |
+
|
| 293 |
+
document.getElementById('reset').addEventListener('click', () => {
|
| 294 |
+
cancelAnimationFrame(animationId);
|
| 295 |
+
animationId = null;
|
| 296 |
+
generation = 1;
|
| 297 |
+
frameCount = 0;
|
| 298 |
+
cells = [];
|
| 299 |
+
|
| 300 |
+
const initialHealthy = parseInt(document.getElementById('initialHealthy').value);
|
| 301 |
+
const initialCancer = parseInt(document.getElementById('initialCancer').value);
|
| 302 |
+
|
| 303 |
+
for(let i = 0; i < initialHealthy; i++) cells.push(new Cell('healthy'));
|
| 304 |
+
for(let i = 0; i < initialCancer; i++) cells.push(new Cell('cancer'));
|
| 305 |
+
|
| 306 |
+
updateStatus();
|
| 307 |
+
ctx.clearRect(0, 0, canvas.width, canvas.height);
|
| 308 |
+
cells.forEach(cell => cell.draw());
|
| 309 |
+
});
|
| 310 |
+
|
| 311 |
+
// Initialize simulation
|
| 312 |
+
document.getElementById('reset').click();
|
| 313 |
+
</script>
|
| 314 |
+
</body>
|
| 315 |
+
</html>
|