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      <title>Geant4 vs GATE vs TOPAS in 2026: Monte Carlo Simulation for Medical Physics</title>
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      <description>&lt;p&gt;A proton therapy plan is only as good as the dose engine behind it. You need roughly 10⁸ particle histories to get 1% statistical uncertainty in a small field, and every one of those histories has to traverse the same geometry, the same material composition, and the same physics processes your treatment planning system assumes. Get the physics list wrong and your Bragg peak shifts by two millimetres — which, at the distal edge of a target volume, is the difference between tumour control and a complication.&lt;/p&gt;</description>
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