{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# [Prody](http://prody.csb.pitt.edu) is an open-source Python package for protein structural dynamics analysis with expansive and well-written API." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "@> PDB file is found in the local folder (/Users/dkoes/.../3ub5.pdb.gz).\n", "@> 4055 atoms and 1 coordinate set(s) were parsed in 0.03s.\n" ] } ], "source": [ "import prody\n", "prot = prody.parsePDB('3UB5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default visualization in ProDy uses matplotlib." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] }, { "data": { "image/png": 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iqWgtadlsFoVCAe3t7XVv0lKpVHZ3CoJQJdK8wqllTR+TxuJVYrEYWdMGOW5tiFatLoVC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\nspA3+xzpj6eqKok1i5BYcwmjIHwrIk2LlwLIaFw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15sgLJNZcwK2NUmtZY2gzJhsVFG6L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\nSlfT32IHcO7WWlVVhblz52LPnj1Yt24d/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C02cg078Lnr5wpIyPElzg5KLXkSxAgqmZss\nV2meT5M5n2DLmUioUoNgV+VvnU4n+QCDUKzWPxwTlNKv6ipbSSR6CBaLBdXV1bJOoDqDWa7nmvQ0\nm814++238c4772DhwoV44YUXFH3d4ENxcTHGjh2LwsJCREREoHv37ti/fz8eeOABAMCqVaug0+nw\n+OOPw2QyYejQoXjvvfdkXrWyUXXWfAC5s2bC1ZcGSCcx4U4o1p02kBT9XM4gpTam76jSslPsgIRt\nnO3NsIfUyKHr5U7/zVX/my/KcmLBlozwxNaKr06XGOVmdjZNicbrTNi9aSTD5Eovz5fXLjbMGyKu\ncv358+cxadIkaLVabNmyBZ07d/bJulQUhyqKqwSYwRpXX5qUFw/SJ0CasIUIxfJVyBdTDsNdUKk0\n2H10er2eMyBRQrbSG7cEKdbCR/mdBC3MbJpSkbLJnWuAwVsHBn8yXncnGMv1eOaNFPvmQKwJVFfv\n78ov1Wq1Yt26dVi6dClmzZqF2bNnK+bcXrp0KXbu3Inz588jKCgIffr0QUZGBhISEujHqHZRoqMG\na0qAlMYAOFw0pMxONTQ0wGQyidqEzb7jZ5rUeyOHwby4kYuxP5W5uLJT7gISX5ZsmNkppU7LMTNK\nDQ0NdscKkDdD4gpnwyS+eF8+N1PsgMRdIKE0uLJpnvzdfWXM7i6bdvnyZaSnp6OiogJbt25Fjx49\nFHEeEx566CE89dRTSElJgcViwZw5c3D69GmcO3eOzmSqdlGiowZrSoBMXErZl8bElxZRXHIYXHf8\nzJIN+/n+pO/mbXbKXYZEbIsjtryF1Mbg3sI1lcrOkvgyQ+IOpZVo3QUkWq2WDoL94bsmJJvmyetz\ntTMQhMrTMEvKXEGwzWbD1q1bMX/+fKSnp2PBggWK1kkjlJSUoFmzZvjhhx/Qr18/VFZWqnZR4qPa\nTcmNxWJBhw4d0KlTJ6SmpiI1NRUpKSmIjIwU/SLJ3OjEnpp0Bh+BVa4Gc5IZMZlMfqGQD4jfkE9g\nS62IoWfGDoKVIG/hCncDBGJO64q1Xjk03tzhzIGBfAeZ2UoiyCp3eZ4LsbJprnA1Oe9qApXreLkb\n0Lh27RqmTZuGK1euYO/evUhLS1PEceZDeXk5NBoNoqKiAEC1i5IJ+a8utzk6nQ4HDhzA0aNHkZmZ\nicWLF+P06dNo164dHbylpqaic+fOHpf95JqadAZb+w34Y4N15k+p0WjoIFMJE1xMpBa2ZcuHCNHK\n4zpezGyP0uUtAOFBsNBpXXfHy5v1Kj07BTSeD6QdgmRWuSZ2CWIfLyGIKcbrCZ5IiBC9N3LtZQa8\nNpsNO3bswKxZszB69Gh8+eWXCAkJ8dnn8RaKovDSSy+hX79+9PBDUVGRahclA2qwJjEajQYJCQlI\nSEjAuHHjQFEUamtrcfz4cWRmZuLw4cNYvnw5ysrKkJSUhJSUFPTq1QupqamIjY11m3b3lxIiueAT\nmRCgUSGflGXY2m9ilwM9QS5hW3d3/KQHkss0m5RYyWSfkoUzxcpOudpgnWkLcg3HuPu7+osbBcGd\nJp0nx0vKAM5ms6G2tpbuq1SKw4Oz84t57SUBW3V1NXr06IH4+Hh0794d58+fR35+Pj7//HMMHDhQ\nEZ9HCFOmTMHZs2dx5MgRt48lx0FFGtSeNQVAURQKCgqQmZmJzMxMZGdn48SJE2jWrBmSk5ORmpqK\nXr16oUePHnQwdvToUfz73//G9OnT/a6E6Gy97GySEHkHKderhF4kLpjZEbPZbFfiYpablVTeAv6Q\nZvG1A4GnE4LsjVnuzLU7xOr18nSAwZP3kWNAw1OY62X2gVIUhZqaGnz44Yf473//i1OnTqGgoAAA\nEBYWhuTkZKSkpGD48OHo16+fzJ/CPdOmTcPu3bvx448/ok2bNvTPDx48iIEDB6KsrMwuuxYfH48Z\nM2bgxRdflGO5/o7as+YPaDQatGnTBm3atMGTTz5JXwxOnjyJzMxMZGVlYfPmzbh69So6duyIwMBA\nZGdno2vXrnjhhRcQHBws90dwihD3AWflQFd+i2Lf7ftT9oRk30wmE13yJMK0JCDhsuzxhR2UM+R0\nIHBVnnfW/0ZEo202m1+UlMWUD2F/H8nrOztensj5MLNpSr0pYuJqoIS0cpw9exa5ubnYuHEj+vbt\nixMnTuDYsWPIycnB9u3bERYWpvhgbdq0afjqq69w+PBhu0ANgGoXJRNqZs1PqK2txZtvvomVK1ci\nICAADz74IH788UcEBATQfW+9evVCUlISwsLCZL/gsfvoxNL0EnK3742Xp5waZHzgu152+dSZPpeQ\ncqAY61WqNIs7+RA5+7lcIad8CFfGkuDK05NroESpuFsvRVE4cOAApk6din79+mHt2rWIjo7mfC2r\n1arYG0CgsfT5j3/8A19//bWdtlpERAQ9vTplyhTs27cPW7Zsoe2itFqtKt3hOap0x+2AyWRCt27d\ncPnyZbz44ouYP38+wsPDYbVacf78eTr7lp2djfPnzyMhIQEpKSl0ANexY0efbiqkZOSrEqIruQI+\n2m/+UPJk4u16+ZYDxRI79rfjy86eGI1GhwyvHAEv3/XKfXz5ODCQIM/fspVcx7e6uhrz5s3Dzp07\n8e6772LkyJGKPr/d4Wyv2LJlC8aOHQugcU+aNWsW/vGPf9jZRamiuB6jBmu3C1u2bEGfPn3QsWNH\np4+hKAqVlZU4duyYXQBXV1dH976RIC4mJkb0CwqZ8pTbfYCvdRbby9MfxEGlsolia+U5y44IETv2\nN403tvWSq/UK6X+TKoMoZL1yQ44X0Zxk44sBBqG46/2jKApHjx7FpEmT0LlzZ2zYsAEtWrSQccUq\nfowarN3p2Gw2XLlyxW54IS8vDy1btrQrn3br1s3jsh+XdIjSSlzszZW9YZCsiJjWWWLBbHAHPPOb\n9OQ9+YgdM4MRsh65Bgi8QQw5Dr7uHmIMfLjT9VIaXNk/8nOpBxg8wZ3OW11dHRYvXoyPPvoIy5cv\nx/jx4xWdHVRRPGqwpmIPyXbk5ubS2becnBwUFRUhMTGRlg7p1asXWrVqddtIhxDYU6kBAQF2kgUE\nJTTjA8qyieJSe2dnk0i20p8a8qXKVvLN8ArJJrGzaUo3Xhfam8bXEkrKmyqyXgCc2bTc3FxMnDgR\ncXFx2LRpE+Lj40Vfgzf8+OOPWL58OY4fP47CwkLs2rULjz76qN1jFixYgA8//BDl5eXo27cv1q9f\njw4dOsi0YhWowZoKHyiKQlFREZ19y8rKwvHjxxEeHk4HbykpKUhKSkJwcDA0Gg3y8vLwz3/+E6++\n+ip95+nvmzKfZnx2c7lU+EsJka39xjxeSjCvd4ZcchyuBmQA1+eYP4rxettL5+kAgycwrxFcNxoN\nDQ1Yvnw51q1bhzfeeANTp05V5DXv22+/xU8//YSkpCSMGDECO3futAvWMjIykJGRgW3btqFdu3aY\nN28eTp06hXPnztHT5Co+Rw3WVIRDylinT59GVlYWXT799ddfkZCQgNDQUGRnZ6N9+/b47rvvEBsb\nK/eSnSKGl6er3iSxtd/8zSYKcMxWGgwGhwwJQQm9SXLKh3DhTl/ZIugeAAAgAElEQVRQp9PRj/G3\nbJoUNxp8BhiETuyS3jSAu83g7NmzmDhxIgIDA7FlyxaXvcNKQqvVOmTWWrRogb/97W+YMWMGAKCy\nshLNmzfHtm3b8OSTT8q11DsdNVhTEQeLxYI1a9Zg0aJFaGhowMCBA5GTkwOz2UwPLUjpe+rpmsWe\nQuSygvJ2oyCwBzTkDiLcwc7+OQsifCWuyme9/iK+ypQPYfdXKjljKddkKtuBwdnELvt7SVEU6urq\nnGbTLBYL3nvvPWRkZGD27NmYNWuWIjPczmAHa5cvX8Zdd92FvLw8dO/enX7c/fffj549e2LVqlVy\nLfVORxXFVfEeiqIwaNAgHDp0COPHj8fSpUvRvHlz2Gw2XLx4kS6fSuF76glSCtu6soLisurhE4yw\nBzT8wSZKyACBUHFVKYIRpclb8MFsNttNVgP2DflSC0QLgZ1N87WxvTNLKPbxYn4vNRoNHdBxncO/\n/vorJk+ejNraWhw+fBiJiYk++zxSUVRUBI1Gg+bNm9v9XPX1VD5qsKbiFo1Gg8mTJ2PZsmXo3bs3\n/XOtVouOHTuiY8eOovueeoKcXp5cGwXzLt9ZMELW7C8DGmKVELnM2KVwq2A35Ps6iPAEUpLj6qVz\nFYxw+Xn6osdSqYGwq5sE4vpBqK+vx9ixY2Gz2ZCUlISamhps3rwZL7zwAubPn3/b93Kpvp7KR9lX\nLRXFMHLkSLeP0Wg0CAkJQf/+/dG/f38A9r6nWVlZWLt2rVvfU09QmvCqRqOBXq/nNGInGyszGCFC\noaQc42thVXdwTfWJmf0jn5e5KbrKWAJw6BdkByP+1pAvNBDmCkbYJXpv7aBcIXc2zRNI1t1ms9G9\naUBjwNm5c2ccOXIEq1evRnV1NQBgx44duHLlClJTU9G3b18kJyfLuXyviY2NBUVRKC4utsuu3bhx\nAz179pRxZSruUPY3S8Xv0Wj4+55269aN7nvr1asX4uPj3WYD/MXLkyltQYIQAHYelc7Kp3Jrv8kV\nCLsqbTkLRohoL/m9ks8JAlt8lchbeHKM3ZWcLRYLnWkEPC85KzWb5gxmf6Wzc6JDhw744IMP8Nxz\nz2HMmDE4c+YMcnJykJ2dje3bt6N///74/vvvZfoE4tCuXTvExsbiwIEDdM9aZWUlsrKyMHXqVJlX\np+IKdcBARXYoikJJSQk9eZqVlYVjx45Br9c79T01mUx455138NBDD6F169aK9/IE+AU9fIVVhTgJ\neAp7g1OiwwN74INLPkSJXp4EMY3X+eKN/pvUk55SwPzecfWmFRcX48UXX8Tp06exefNm/OlPf3I4\nRxoaGnDr1i3ExcX5evmCqampwaVLl0BRFJKSkrBy5UoMGDAAUVFRaN26Nd566y1kZGRg69atiI+P\nx/z583HmzBmcOXPmti/3Khh1GlTF/yCbL/E9zc7ORlZWFu172rJlS1y8eBH5+flYvXo1nnnmGUVP\nTXojvMrXSYAp3ust/igfwgx6dDodjEaj3XGTSy/PGUqbTHWn/0YyfeTn/pJNI1lEru8dRVH46quv\n8NJLL+Gxxx7D8uXLER4eLuOKxeHw4cMYMGCAw99m3Lhx2Lx5MwBg4cKF2LhxI8rLy3Hffffhvffe\nU0Vx5UUN1lRuDyiKwrlz5zBlyhQcPnwYbdu2RWRkJH777Tef+J56umYpgh4+vpTMYETI+ylNg8wd\nfIMePlpmnh4zofhLCZF5zMxms13w5utjJhR3dlylpaWYNWsWjhw5go0bN2LYsGGKWr/KHYcarKnc\nHuzevRtPPfUUQkNDsWLFCowePRoURUnue+opvraJcmfE7q4UqLRMDx+8DXrYbhVS2435k/E6gX0e\nMzOWrtwEfFGm58KdHRdFUdi/fz+mTZuGAQMG4J133kFUVJRP16iiwoEarKncHly7dg2rVq3C/Pnz\nERERwfkYMX1PPUUpNlHurLOYwRsAekJOyZkeglRBDx+7MfbAhxDBY38yXud7jKXwP/UUZmDJdYyr\nqqowd+5c7N69G+vWrcOIESMU/TcgvPfee1ixYgV9HXv33XeRmpoq97JUxEUN1lTubDzxPfX0fZhC\nsUrckF2VAgHQU4RKLGsRfC3Hwafk7Gpi19+M1wHvA0tfO1a4G3qgKApHjhzB5MmTkZiYiPfff1/R\nFnlM/vnPf2LcuHHYuHEjevXqhVWrVmHHjh24cOECmjZtKvfyVMRDDdZUVJi48j3t3Lkz3ffWq1cv\ndOjQgddG4o99XkwvRFIiVqKPJ3PNxBZI7slUdyVnZsbSZDIpNnhnI2WZliv7JkbPoLtSeF1dHRYu\nXIjPPvsMq1atwtNPP63o7yabe++9F71798aaNWsANP6NWrdujenTp+OVV16ReXUqIqIGayoq7qAo\nCmVlZcjOzqaDt+zsbNhsNpe+p/X19fj888/x5z//md7c/KHPy5X/qJCsiC8sxIRaW8mBu4ldZs+g\nEgWPAd+Xafl47Lrqf+MSaWZn044fP46JEyeiTZs2+PDDD9GmTRvJPo8UmM1mBAcH44svvrAzYn/m\nmWdQUVGBnTt3yrg6FZFRvUFVVNyh0WgQFRWFoUOHYujQoQDg1vc0JiYGu3btQkFBAbp27Yrk5GTF\nbcBM+PqPeuPjKXZTub9kLJlBrNlspp0pSFBps9kcfCl9HfQ6g51N85WAsCuPXWcuH8wMr9lsdppN\nM5lMyMjIwIYNG/Dmm28iPT1dkeeNO0pKSmC1Wjl9PH/55ReZVqUiF2qwpgDi4+Nx9epV+t8ajQZL\nly61S3OfPHkS06ZNQ05ODpo1a4Zp06bhb3/7mxzLvSNw5nu6f/9+LFq0CD///DM6dOiAu+66C/Pm\nzZPc99QbvHUg4PLxZAdwXJuqJ4345PWltLaSAraWXnBwsEOAwD5mxEUAkMa83h1KG3pwZ8ZOgjdm\nNchms2H16tXo0KEDUlNTUVJSgueffx7h4eHIzs7G3XffLcdHkRTVx/PORA3WFIBGo8Gbb76J559/\nnr4QhYWF0b+vqqrCkCFDMHjwYGzYsAGnTp3C+PHjERkZiQkTJsi17DsKjUaD7du348UXX4TRaMTW\nrVsxZswY/P777w6+pzExMXa9b976nnoKu89LrKyJu02VBG+eWGf5iwYZE1fG60w8DXrF7hmUK5vm\nCWwLMYqiEBAQAIPBAKvViurqaqxevRolJSUAGvsvO3XqhEceeQSFhYWIi4tDaGiozJ/CM5o2bQqd\nTofi4mK7n9+4ccMh26Zy+6MGawohNDQUMTExnL/75JNPYDabsWnTJgQEBKBTp07Izc3FypUr1WDN\nh+h0OowaNQpLliyhtZmk9D31FDkcCDz1pGQGbw0NDXQA4S+m4N6UafkEvc78Yj2dpFRaNo0PJMsK\nwC7LSvQLv//+e7z88sswGAxo1qwZLl++jEWLFqG2thZarRbp6elYu3atnB/BI/R6PZKTk3HgwAG6\nZ42iKBw4cADTp0+XeXUqvkYdMFAA7dq1g8lkQkNDA9q0aYNRo0ZhxowZ9EV83LhxqKqqwpdffkk/\n59ChQ3jwwQdRWlrqVHdMRX488T31BuYAga+8JvniTscMaAyIDQYDnU1RIsxgGAA9NSlV0ONqkpJv\n+dQfJUSYpWWuYNhqtWLjxo1YvHgxXnrpJbz22mt0IGexWHDu3DlkZ2cjNjYW//d//yfXx/CK7du3\nY9y4cdiwYQMt3fGvf/0L58+fd3pzr+KXqAMG/sCLL76IpKQkREVF4aeffsLs2bNRVFSEFStWAACK\niorQvn17u+eQNHhRUZEarCkYjUaDmJgYPPzww3j44Yc5fU/nzJmDc+fOISEhwS6A69ixI+/SF98B\nAjlhZoYMBgPdB2ixWOhmc5KtIo9nyjkoQftNDuN1rvIpmZLlUz4lQY8/ZdOY0jJcpeX8/HxMmTIF\nN27cwPfff4+UlBS73wcEBKBbt27o1q2bz9cuJk8++SRKSkqwYMECFBcXo0ePHvjuu+/UQO0ORM2s\nScScOXOQkZHh9PcajYbeoNls2bIFkydPRnV1NfR6PYYMGYL27dtj/fr19GPOnj2Lbt26OX0NFf+B\noihUVlbi2LFjdPYtOzsbdXV1vHxPz5w5gzZt2vjNZuxKjoOPpIM76yyp1qxkOy6StWQeM3bWUq/X\nQ6/Xy2ZezwdmnyVXNs1ms+GTTz7BnDlzMGHCBLzxxhsICgqSccUqKqKg6qzJxa1bt3Dr1i2Xj2nf\nvj1nXw4JxM6fP4+7775bLYPegdhsNuTn5+Po0aNOfU87deqEzz77DJ9++il27tyJBx980C9KW0L7\nvFwFIlIo4rPxx6EHi8WC2tpaUBRFZyTZQrRKy1q6G9QoLCzE9OnTceHCBWzevBn9+vWTfc0qKiKh\nlkHlIjo6GtHR0R49Nzc3F1qtFs2aNQMApKWlYd68ebBarfRmvH//fnTs2FHUQK2hoQG9evXCyZMn\nkZeXh+7du9O/U6VDfItWq0W7du3Qrl07jBo1ys739OjRo9ixYweOHTuGwMBAPPTQQ/j3v/+Nqqoq\nSX1PvcGZiCmfdTprxGcGb86037wJRNh9Xv4w9MC1ZnLc3JVP5cxaEj9dZ0LNX375JWbOnIknnngC\nn3/+ud20vFJZsmQJ9u7di7y8PBiNRpSWljo8pqCgAJMnT8ahQ4cQFhaGsWPHYtmyZYrNfKrIh7Kv\nPHcApOw1YMAAhIWF4aeffsLMmTMxZswYOhAbNWoU3njjDTz77LN49dVXcerUKbzzzju0BYlYvPLK\nK2jVqhVOnTpl93NVOkR+SOktJiYG+/btQ1ZWFkaOHInZs2fj8uXLyMzMxKZNmzBlyhTRfU+9RYrM\nlEajoct6gLA+Lj4uAsypSX/KprnyTSWf2WAw0D9jZy2Z06cAHGygxA4imGvmmlq+desWZs6ciczM\nTHzyyScYPHiw4v8OBLPZjCeffBJpaWnYvHmzw+9tNhseeughtGjRApmZmbh+/TrGjBkDg8GAN998\nU4YVqygZtQwqM7m5uZgyZQp++eUXmEwmtGvXDmPHjsWMGTPsemJOnTpFZ7aaNm2K6dOnY9asWaKt\nY9++fZg1axa++OILdO7c2S6ztn79esyfPx9FRUV0ZmHOnDn46quvcPbsWdHWoOKeDRs2ICMjA+vW\nraPdFggkWDlz5gztvOCt76k3SOk1yff9+VhnMeVD5F6zJzAzU2L4pnL1DIrh4ylkzRRFYd++fXjh\nhRcwaNAgrFmzBpGRkR5/JjnZtm0bZsyY4ZBZ27dvHx599FEUFhbSpuwbNmzA7NmzcfPmTcWfdyqi\novasqbinuLgYKSkp+PrrrxEVFYV27drZBWtqz5xyIJN9wcHBvB7vqe+pt7jL8sgFWwbDYrHQvyPB\nGgDFyZ44w1fHmS25wuXjSQI4d+VTd9m0iooKzJkzB99++y3Wr1+PP//5z4o4dzzFWbD2+uuvY/fu\n3Thx4gT9sytXrqB9+/bIzc1FYmKir5eqIh9qz5qKe8aPH48pU6agZ8+eyM/Pd/i9Kh2iHIhGFl+c\n+Z5eunSJHl5g+56S/zp37ixYP4ydMVGaOj6XDAbRpmMGIMTjk519U0rw5uvj7Mp9gQRw7izHANBZ\nS641UxSFQ4cOYcqUKUhNTcWpU6dua4mKoqIiTt9P8js1WFNhogZrtyl8pUO+/fZbVFVV4dVXXwUA\n8M20MssiKv6FVqtFQkICEhIS7HxPjx8/jszMTBw+fBjLly9HWVkZkpKSePuekuDBV64JYsAlIQLA\nwY+S7SLgbRlQjDU7y0z5ArZmHsDt48k8bsyspdFotAvUamtrsWDBAmzfvh1r1qzBqFGjFHnueCPJ\nJAQlfnYVeVGDtduUWbNmYfz48S4f065dOxw8eBCZmZkwGo12v0tJScHo0aOxZcsWxMbGcvrTAVA9\n6m4DNBoNQkJC0L9/f/Tv3x9A48ZbUFDAy/e0pKQEM2bMQHx8PBYuXCjYdkkO2L6pbON1Yp1Fvhds\n6yziXgD4bopS6VlLpuUYOW5MRw2C2WzGBx98gC1btiA5ORnx8fH49NNP0alTJ+Tl5aFVq1ZyfQS3\n8LmusqsQzoiNjUVOTo7dz8h1Vr2uqrBRg7XbFL7SIe+++y7+/ve/0/++fv06hgwZgu3bt6NXr14A\npJcOGT58OPLy8nDjxg1ERkZi4MCByMjIQFxcHP0YVTrEt2g0Gre+p5s2bcKVK1eg1+sREhKCxMRE\nFBcXIz4+Xu7lu4Sv8ToTd2VA9hQlW8PM2+BVCdk0oTCngEk/HdAY+CYmJqJPnz7IysrC9u3bYbPZ\ncPPmTYwcORK9e/dGr169MHToUDRp0kTmT2GPN5JMbNLS0rBkyRKUlJTQAwb79+9HREQEOnfu7NFr\nfvzxx5gxYwYKCwvtBtSGDx+OyMhIbN26VYylq8iAOmCgYkd+fr7DgEFlZSXuueceDBo0iJYOee65\n57BmzRo899xzXr/nmjVrkJaWhri4OFy7dg0vv/wyNBoNjhw5AqBROiQhIQGDBw/G7NmzaemQNWvW\nqNIhMnH27FlMnDgR//3vfzFkyBAkJSUhJydHUt9Tb/HWeN0d7qYoPRGhFXvS0xcwNfW4JmopisLJ\nkycxceJEREVF4b333kNFRQWys7ORlZWFrKwsXLlyBSdPnvRru6iCggKUlpbiq6++wttvv40ffvgB\nANChQweEhITAZrOhZ8+eaNGiBTIyMlBYWIixY8di4sSJWLx4sUfvWV9fjxYtWuCDDz7AiBEjAAA3\nb95Eq1at8P3339OZcxXFoU6DqggjPz+fnkZiiuJKLR3CZPfu3XjsscfoRmRVOkRZlJWVoU2bNmjR\nogU2bNiA+++/H8AfwQrT9zQrK8tr31NvYRuvBwYG8sqmifG+bO035hADl/MCc03+nk3j0qczm814\n++238c477+D111/H9OnTOYPPGzduIDo6WvGBqSvGjx+Pjz76yOHnBw8epIOmgoICpKen49ChQwgJ\nCcEzzzyDpUuXenUTMXXqVOTn52PPnj0AgJUrV2L9+vW4ePGix6+pIjlqsKbiX5SWlmLKlCkoLCzE\n4cOHAajSIUrkwIED6Nu3LwIDA10+jqIoVFVVIScnxyPfU2+Rw3jdFXy130iGzh+zaUyHCibnz5/H\npEmToNFosHXrVo9LfSquycvLQ69evZCfn4+4uDgkJiZi5MiRmDt3rtxLU3GOGqyp+AezZ8/G2rVr\nUVtbi7S0NOzZs4cWweQysj937hy6du2Ks2fPomPHjnItW8UD+Pie9urVC926dfM4A6Z043Um7OEF\nLg0zMoHqq2ykEJgBMVc2zWq1Yv369ViyZAlefvllzJ49W7F/i9uFlJQUPPHEExg0aBB69+6NK1eu\noGXLlnIvS8U5arCmIg9CR9xLS0tRWlqK/Px8LFq0COHh4XQanytYI2b3YozJq8gL0/eUZN9ycnJQ\nWFiIHj160NIhfH1P/dF4ndmbptVqERgY6JCFI3BpmMnx+Uh5ua6uzmlAfPnyZaSnp6O8vBxbt25F\nz549Ff+3uB14//33sWrVKgwePBiXLl3Cvn375F6SimvUYE1FHm7duoVbt265fEz79u05LVWuXbuG\n1q1b4+jRo+jdu7daBr0DoSgKRUVFtG1WVlYWjh8/7tL31Gw2Y/Xq1Rg2bBjatm3rF1ZRQGNvWm1t\nrUt9OnbgZrFYHCyguERopYJdXg4KCrJ7T5vNhm3btmHevHmYNGkSFi5c6LZkrgTy8/OxePFi/Oc/\n/0FRURFatmyJ0aNH47XXXrMLRJU+nV5VVYW4uDhYrVZ8/PHHePzxx+VekoprVAcDFXnwZsSdZBFM\nJhMA6aVDbpcL9O2ERqNBXFwcHnvsMTz22GOcvqeffvop7Xvarl07nD9/Hr/88guaNGmCLl26KD6D\nI2TSk6lhRmCXT4k7ACDcAkoIpLwMAMHBwQ7ZtGvXrmHatGm4fPky9uzZgz59+ij+b0E4f/48KIrC\nBx98gLvuugunT5/GhAkTUFtbi7feegtAYyA0ZMgQDB48GBs2bKCn0yMjIxUznR4WFoYRI0bgm2++\nwfDhw+VejooIqJk1FVnJyclBdnY2+vXrh8jISFy6dAkLFizAzZs3cfr0aej1esmlQ7777jts374d\no0aNsrtAjx071u4CrcqHKAuKolBYWIiXX34Z27dvR9OmTdGiRQvk5+dL6nsqBnyyaULhsoAiwwsA\nHJwXhA5aEF9as9nMOaxhs9mwY8cOzJo1C6NGjcKyZcsQEhLi1WdSAitWrMD777+PS5cuAYDfTKcP\nHDgQ3bp1w6pVq+Reiop71DKoirI5ffo0XnzxRZw8eRI1NTWIi4vDsGHD8Nprr9mJ4vpSOgTw3wv0\nncSFCxcwfPhw/Prrr5g3bx5mz56NgIAAO9/T7OxsO99TUkL1xPdUDHytm8a2gPJU+430pgGws+Ui\n3Lx5Ey+99BJOnDiBTZs24cEHH1RUcOwN8+bNw/79+5GdnQ1A+dPpZWVl+PbbbzF27FicPXsWd999\nt6zrUeGFWgZVUTZdu3bFgQMH3D6uW7dutJSHLygvL0dUVBT978zMTPTv39+uDDVkyBC89dZbqKio\nkP0CfScSFxeHLl26YMeOHejatSv9c1e+pz/88ANWrFgh2PdUDKTIprmDbQFFtN/cGbAzgzeSTeMS\nEqYoCnv37sX06dPx0EMP4eTJk7fVd+HSpUtYu3YtVq5cSf+sqKjIwVKKacAu9+dPSkpCeXk53nrr\nLTVQu41QgzUVFRb+eIG+EwkLC8O//vUvl4/h63uam5uLpk2bOvieGo1GUcqTzGwa24fUl5DJUS7r\nLBK8sa2zgEb7LKvVipKSEjRr1gxA4w3NK6+8ggMHDmDjxo145JFHFJtN88SA/dq1axg2bBhGjhyJ\nZ5991uXrM7OVcnP58mW5l6AiAWqwpnLbciddoFX4w8f3dPPmzbh69Sq6detmF8DFx8cLCrSYPqRK\ndSFgTpMC9ib3ZDDBarXiwIEDePrppxEfH4/OnTvjp59+QkpKCo4fP44WLVrI/ClcI9SA/fr163jg\ngQfQr18/bNiwwe5xsbGxtOE64caNGwBUA3YV6VB71lRuW4TKh1y/fh0DBgxAnz59sGXLFrvHKb1P\nRUVcKIpCSUkJsrKy6ABOiO9peXk5zGYzDAaD7Nk0ITizuKIoCjdu3MC+ffvwzTff4PTp07h27Ros\nFguMRiN69uyJ3r174+mnn0ZKSorcH8Mrrl27hgceeACpqan4+OOPHf6277//PubNm4fi4mI6wJ07\ndy527dql9q+qeIo6YKCiwgf1Aq3iCiG+p5cvX8ZLL72ERx55BEuXLlVkNo2Nu8EHiqJw9OhRTJo0\nCZ06dcLGjRsRHR2NvLw82nw9KysLr7/+OsaMGSPjJ/GOwsJC9O/fH/Hx8di2bZvdMSBZM6mn01Xu\nSNRgTUXFHUq5QC9ZsgR79+5FXl4ejEYjSktLHR5TUFCAyZMn49ChQwgLC8PYsWOxbNkyv8ja3G6w\nfU+PHDmCQ4cOob6+HklJSbj//vtx7733SuZ7KhbuDOPr6+uxePFibN26FcuXL8ezzz7r9HyjKEqx\nn5MP27Ztc2h/IJ+J6SLh6+l0ldseNVhTUXGHUi7QixYtQpMmTVBQUIDNmzc7BGs2mw2JiYlo0aIF\nVqxYgevXr2PMmDGYOHEi3nzzTdHWoSKcffv24fnnn0dlZSXmzp2L1q1b06b1YvueigVFUbSQrrNs\nWl5eHiZOnIjmzZtj8+bNiI+Pl229Kiq3MWqwpqLib2zbtg0zZsxwCNb27duHRx99FIWFhWjatCkA\nYMOGDZg9ezZu3rzpF9ZKtyOlpaWIj49Hnz598MEHH6B169b075i+p6T/zRvfU7GwWq2ora2FzWaD\n0Wh0mHptaGjAihUrsHbtWrzxxhuYOnWqpHpwKip3OKrOmorK7UJmZia6detGB2pAo9Zbeno6zpw5\ng8TERBlXd+cSFRWFnJwcJCQkOARbxOC8T58+6NOnDwBH39NNmzZhypQptO8pycAxfU/FgplN02q1\nCA0NdQjCzp49i4kTJ8JoNCIrKwsdO3YU7f1VVFQ8Q210UVHxE4qKihykAZhabyry0bFjR95BFdP3\nNCMjAwcPHkRpaSn27t2LYcOG4dKlS5gxYwZatWqFfv364cUXX8Qnn3yCCxcu2NlHCcVqtaKmpgYm\nkwlGo9EhULNarVizZg0GDhyIxx9/HD/++KNfBWrDhw9H27ZtERQUhBYtWmDs2LEoLCy0e8zJkyfR\nv39/BAUFoW3btli+fLlMq1VREYaaWVNRkRBPtN48wZ+buu90NBoN9Ho9evTogR49emDy5MmgKApl\nZWX01OmuXbswd+5c2Gw2wb6nREeuvr4eWq0WISEhDiXzX3/9Fenp6aiursahQ4eQmJjod+fUAw88\nQNvUXbt2DS+//DKeeOIJHDlyBIB/GLCrqDhD7VlTUZEQoVpvgPOetddffx27d+/GiRMn6J9duXIF\n7du3R25urloGvc2x2WyCfU8vXryIzZs349VXX4XRaERgYKBdEGaz2bBp0yYsXLgQU6dOxYIFCxx8\nP/2V3bt347HHHqMHKFR/XxUFo/asqajISXR0NKKjo0V5rbS0NCxZsgQlJSV039r+/fsRERGBzp07\ni/IeAPDee+9hxYoVKCoqQmJiIt59912kpqaK9voqnqHVann7nvbs2RNRUVH4/vvvERMTgylTpqBJ\nkyb/397dx1Rd/30cf34Ppil2vLYQCYxiy4ubmTeLcaNyXWsq1NwsZnNdlMZNmeHJ8AY0Z45WV+Wo\nlhSbuqxwWHpNimyKpgmIvx1vJnFgkZBlAjExuuE0TEDO9/cHea4IzbKD54Cvx/b943w/n53z/vO9\n9+d93p8+39fc3ExmZibNzc2UlpYSGxs76KppV/Ljjz+ybds2pk+f7j7q1f2+MpipZ03ERzQ1NeFw\nODhz5gw9PT04HA4cDgcdHR0AJCYmEhUVxYIFC6ipqWHfvnv/oBIAAAnKSURBVH0899xz2Gw29z2P\n/9SOHTtYsWIFzz//vLtal5SURFtbm0e+Xzzn9/ee5uTkUFxcTGNjI/v376e9vZ1du3YxadIkOjo6\nSExMZMGCBeTn52O32yksLCQuLo6JEydSVVVFXFzckEjUVq9ezejRowkICKCpqYmSkhL3mno+ZVAz\nTfOvPiIygFJTU02LxdLvqaiocO9pbGw058yZY/r7+5uBgYFmTk6O2dPT47EYYmNjzaVLl7o/u1wu\nMyQkxFy/fr3HfkMGzs6dO02r1WqGhISYe/fuNV0ul3nhwgXz2LFjZn5+vvnII4+YwcHB5s0332we\nPHjQdLlc3g75T61evdo0DOOKj8ViMevr6937f/jhB/Orr74yDxw4YCYkJJhz5sxxryUmJpqLFy/u\n8/1ffPFFv+8Q8YKr5mDqWRMRoPfS8VGjRlFcXMzcuXPd71NTU2lvb+ejjz7yYnTyV1RWVrJlyxbe\neOONfseel7hcLpxO5xXXfcm19Hxe8t1333H77bdjt9uJjY3V/b7iy9SzJiJ/TVtbGz09PZc9Kqqv\nr/dSVPJ3JCQkkJCQ8Kd7LBbLoEjU4J/1fF66faSzsxPo7flcu3YtPT097j62Tz/9lPDwcCVq4vPU\nsyYif8oc5Pc9ytB3/PhxCgoKcDgcNDY2cvDgQVJSUpgwYQLx8fEApKSkMHz4cNLT06mrq2PHjh3k\n5+ezYsUKL0cvcnVK1kQEgICAAPz8/Ghtbe3z/ty5c/2qbSK+ZOTIkXz44YfMmjWLiIgInnjiCaZM\nmUJ5ebn7zzdWq5V9+/bx7bffEh0dTXZ2Nrm5uWRkZHg5epGrU8+aiLjFxcURGxvLhg0bgN6qWmho\nKEuXLiU7O9vL0YmIDElXPbpQZU1E3JYvX87mzZvZunUrJ0+eZPHixZw/f57U1NQB+83Kykrmzp1L\nSEgIFouFXbt29duzbt06goODGTVqFLNnz+bUqVMDFo+IiK9RsibyN7W1tXHbbbfxyiuvuN/Z7XZG\njBhBWVmZFyP75+bPn89rr73GunXrmDp1qnue29ixYwfsNzs6OpgyZQoFBQWX7Y1bv349b731Fps2\nbeLYsWP4+/uTlJREV1fXgMUkIuJLdAwqcg1KS0t58MEHsdvthIeHM3nyZJKTk3Ux9D9ksVgoKSnp\nMzokODiY7Oxsli1bBoDT6WTcuHEUFhYyf/58b4UqHtTV1UVMTAw1NTVUV1czadIk91pNTQ02m43j\nx48TGBiIzWbTkbwMNToGFRkI999/P4sWLSIlJYUnn3yS0aNH89JLL3k7rCHn9OnTnD17lpkzZ7rf\nWa1WYmNjsdvtXoxMPCknJ4fx48f3q6xeunw9LCyMqqoq8vLyyM3N5e233/ZSpCLeoTlrItcoLy+P\niRMnsnPnTqqqqjx25ZP8v7Nnz2IYxmVnv+mKoKGhtLSU/fv3U1xczJ49e/qsFRUV0d3dzZYtWxg2\nbBiRkZF8/vnnvP766zz++ONeiljk+lNlTeQaff3117S0tOByuTh9+rS3w7mhaPbb0NDa2sqiRYso\nKipi5MiR/davdPl6fX097e3t1zNUEa9SsiZyDbq7u3n00Ud5+OGHeeGFF0hPT+f777/3dlhDTlBQ\nEKZpavbbEJWWlkZmZiZTp0697LouXxfppWRN5BqsWbMGp9PJm2++SU5ODhEREaSnp3s7rCEnLCyM\noKAgPvvsM/c7p9PJ0aNHmTZtmkd/6+WXXyYmJgar1cq4ceNITk6moaGhz57Ozk6WLFlCQEAAt9xy\nCw899BDnzp3zaByD3bPPPovFYrni4+fnR0NDA/n5+fzyyy+sWrUK6K2W/hWX9qmyKjcSJWsif1NF\nRQX5+fkUFRXh7++PYRhs3bqVw4cPs2nTJm+HN+h0dHTgcDiorq4G4JtvvsHhcNDU1ARAVlYWL774\nIp988gm1tbUsXLiQ8ePH88ADD3g0jsrKSp5++mmOHj3KgQMH6O7uJjExkV9//dW9Jysri927d1Nc\nXMyhQ4doaWlh3rx5Ho1jsFu5ciUnT5684vPll18SFhZGWVkZR44cYcSIEdx0001MmDABgOjoaNLS\n0oDeyurlqqqAKqtyQ9HoDhHxqoqKCu69995+lZLHHnuMd955B4Dc3Fw2b97Mzz//TEJCAgUFBdx1\n110DGldbWxuBgYEcOnSIGTNm4HQ6GTt2LNu3byc5ORmA+vp6IiMjOXLkCDExMQMaz1DT3NyM0+l0\nf25paSEpKYni4mJiYmIIDg5m48aNrF27ltbWVvfl62vWrKGkpIS6ujpvhS7iaVctEytZExG5jFOn\nThEeHk5tbS1RUVGUlZUxa9YsfvrpJ6xWq3vfnXfeybJly3jmmWe8GO3gd+bMGcLCwvrMWXM6nURE\nRDB79mxWrVpFbW0tGRkZbNiwQXd6ylBy1WRNoztERP7ANE2ysrKYMWMGUVFRQG9D+/Dhw/skaqAx\nIp70x+rqpcvXbTYb0dHRBAQE6PJ1uSEpWRMR+YPMzEzq6uo4fPjwVfdqjIhn3HHHHfT09PR7f/fd\nd1NRUeGFiER8h/5gICLyOzabjT179lBeXk5wcLD7fVBQEF1dXX36rEBjRERk4ClZExH5jc1m4+OP\nP6asrIzQ0NA+a/fccw/Dhg3rM0akoaGBxsZG4uPjr3eoInIDUbImIkLv0ee2bdt4//338ff3p7W1\nldbWVi5cuAD09k9lZGSwfPlyysvLOXHiBGlpaUyfPt2j/wTduHEjkydPZsyYMYwZM4Zp06axd+9e\n97pmvYncePRvUBERwGKxXLb37N1332XhwoVAb6K0cuVKPvjgAzo7O7nvvvsoKCggMDDQY3Hs3r0b\nPz8/92iS9957j7y8PKqrq4mMjOSpp56itLSUwsJCrFYrS5Yswc/Pj8rKSo/FICLXlUZ3iIgMdrfe\neiuvvvoq8+bN06w3kaHnqsmajkFFRHyUy+Vi+/btnD9/nvj4eE6cOMHFixeZOXOme094eDihoaHY\n7XYvRioiA+nvVNZEROQ6MAxjImAHbgZ+AVJM09xrGMb/AO+YpjnyD/uPAgdN03z2+kcrIgNNc9ZE\nRHzPSWAy8B/APGCrYRj/9Sf7DdSqIjJkKVkTEfExpmleBL757WOVYRgxwDPA/wHDDcOwmqb5+4Fv\ngUArIjIkqWdNRMT3WYARwAngIuBuWjMM4z+BUHqPTUVkCFJlTUTEhxiG8b9AKdAE3AI8Avw3kGia\nptMwjC3A64Zh/ERvP1s+8C/TNI95K2YRGVhK1kREfMs4YCtwG9AO1NCbqB38bX0Z0APspLfathdY\n4oU4ReQ60b9BRURERHyYetZEREREfJiSNREREREfpmRNRERExIf9Gw27l6b61S18AAAAAElFTkSu\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "prody.showProtein(prot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the latest version of ProDy, `py3Dmol` will be used if it has been imported." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "@> You are using the latest ProDy release (v1.8.2).\n" ] } ], "source": [ "prody.checkUpdates()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import py3Dmol\n", "prody.showProtein(prot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Configuration\n", "\n", "A number of keyword arguments are supported." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The background color is configurable." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot,backgroundColor=\"black\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The height and width of the viewer can be changed." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot, height=400, width=200,backgroundcolor='gray')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The viewer can be zoomed and centered on a given [AtomSelectionSpec](http://3dmol.csb.pitt.edu/doc/types.html#AtomSelectionSpec)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot, zoomto={'resn':'ATP'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Styles\n", "\n", "Custom styles can be applied by providing [AtomSelectionSpec](http://3dmol.csb.pitt.edu/doc/types.html#AtomSelectionSpec) and [AtomStyleSpec](http://3dmol.csb.pitt.edu/doc/types.html#AtomStyleSpec) objects.\n", "\n", "A single style may be applied." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot,style={'cartoon':{'colorscheme':'chain'},'stick':{'colorscheme':'chain'}})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more complex styling, generate and manipulate the py3Dmol view object directly." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "view = prody.view3D(prot)\n", "view.setStyle({'cartoon':{'colorscheme':'chain'}})\n", "view.setStyle({'hetflag':True},{'stick':{'colorscheme':'magentaCarbon'}})\n", "view.setStyle({'bonds': 0},{'sphere':{'radius':0.5}})\n", "view.addLabel('Chain A',{'inFront':True,'showBackground':False,'fontColor':'blue'},{'chain':'A'})\n", "view.addLabel('Chain P',{'inFront':True,'showBackground':False,'fontColor':'green'},{'chain':'P'})\n", "\n", "view.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# GNM/ANM\n", "\n", "Squared fluctuations (or any other alpha-carbon length numerical vector) can be visualized in a RWB colorscheme. Red values are larger." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "@> Kirchhoff was built in 0.01s.\n", "@> 20 modes were calculated in 0.02s.\n" ] } ], "source": [ "gnm, sel = prody.calcGNM(prot,cutoff=7.3)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Individual modes may be visualized." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot,flucts=prody.calcSqFlucts(gnm[0]))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Styles can still be applied." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot,flucts=gnm[1].getArray(),style={'cartoon':{}})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Motions\n", "\n", "It is also possible to provide an array of vectors (one per a calpha) that can be used to animate motions. The animate kwarg takes the 3Dmol.js animate options." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "@> Hessian was built in 0.28s.\n", "@> 20 modes were calculated in 0.85s.\n" ] } ], "source": [ "anm, sel = prody.calcANM(prot)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prody.showProtein(prot,vecs=anm[0].getArray(),\n", " flucts=prody.calcSqFlucts(anm[0]),\n", " style={'cartoon':{}})" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }