PRRT Treatment Planning.ipynb

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    "Peptide Receptor Radionuclide Therapy (PRRT) is a molecular therapy used for treating neuroendocrine tumors. It involves targeting tumor cells with peptides that bind to somatostatin receptors, which are often overexpressed in these tumors.\n",
    "\n",
    "## Radiobiological Concepts\n",
    "\n",
    "### Linear-Quadratic (LQ) Model\n",
    "\n",
    "The LQ model describes the response of cells to radiation based on two types of damage:\n",
    "\n",
    "- **Linear Damage (α)**: Proportional to the dose.\n",
    "- **Quadratic Damage (β)**: Proportional to the square of the dose.\n",
    "\n",
    "The cell survival fraction (SF) can be calculated as:\n",
    "\n",
    "```math\n",
    "SF = e^{-\u0007lpha D - \beta D^2}\n",
    "```"
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     "text": [
      "Estimated value of π: 3.1396\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "\n",
    "def estimate_pi(num_samples):\n",
    "    inside_circle = 0\n",
    "    for _ in range(num_samples):\n",
    "        x, y = random.random(), random.random() \n",
    "        distance = x**2 + y**2\n",
    "        if distance <= 1:\n",
    "            inside_circle += 1\n",
    "    pi_estimate = 4 * inside_circle / num_samples \n",
    "    return pi_estimate\n",
    "\n",
    "\n",
    "pi_estimate = estimate_pi(10000)\n",
    "print(f\"Estimated value of π: {pi_estimate}\")\n"
   ]
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