{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Multi-complex analysis example\n", "\n", "Analyze a set of multiple complexes representing different states of HCR polymerization (Dirks and Pierce, Proc Natl Acad Sci USA, 2004) \n", "\n", "Strand species: \n", "Initiator i1 \n", "Hairpin h1 \n", "Hairpin h2 \n", "\n", "Material: DNA \n", "Temperature: 23 C \n", "\n", "While we illustrate analysis of a set of complexes here, we recommend performing a test tube analysis so that one does not presuppose which complexes will form in solution (see tube analysis example notebook). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Complex results: \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ComplexPfuncΔG (kcal/mol)MFE (kcal/mol)
(h1)3.8928e+20-27.901-27.740
(h2)7.5022e+20-28.287-27.979
(i1)6.0965e+0-1.0640.000
(i1+h1)6.1982e+31-43.081-41.379
(i1+h1+h2)7.8258e+62-85.225-83.629
(i1+h1+h1+h2)2.2947e+94-127.866-126.035
(i1+h1+h2+h1+h2)1.5846e+117-158.814-155.648
" ], "text/plain": [ "Result(complexes={: nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 6.096479363, free_energy: -1.063838903876459, mfe_stack: 0.0, pairs: [[0.9769 0.0000 0.0000 0.0000 0.0037 0.0000 0.0000 0.0000 0.0000 0.0030\n", " 0.0143 0.0000 0.0000 0.0000 0.0000 0.0000 0.0010 0.0000 0.0000 0.0000\n", " 0.0005 0.0006 0.0000 0.0000]\n", " [0.0000 0.9701 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0193 0.0000 0.0000 0.0106 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.8486 0.0000 0.0000 0.0000 0.0000 0.0000 0.1504 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0007 0.0003]\n", " [0.0000 0.0000 0.0000 0.7612 0.0000 0.0000 0.0000 0.1260 0.0000 0.0000\n", " 0.0000 0.0000 0.0194 0.0365 0.0000 0.0129 0.0000 0.0177 0.0154 0.0109\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0037 0.0000 0.0000 0.0000 0.9835 0.0000 0.0000 0.0000 0.0062 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0061 0.0004]\n", " [0.0000 0.0000 0.0000 0.0000 0.0000 0.8093 0.0000 0.0000 0.0000 0.0615\n", " 0.0490 0.0000 0.0000 0.0000 0.0000 0.0000 0.0682 0.0000 0.0000 0.0000\n", " 0.0028 0.0093 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9299 0.0000 0.0000 0.0000\n", " 0.0000 0.0512 0.0000 0.0000 0.0189 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.1260 0.0000 0.0000 0.0000 0.7892 0.0000 0.0000\n", " 0.0000 0.0095 0.0000 0.0000 0.0753 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.1504 0.0000 0.0062 0.0000 0.0000 0.0000 0.8291 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0055 0.0000 0.0000 0.0000\n", " 0.0038 0.0049 0.0000 0.0000]\n", " [0.0030 0.0000 0.0000 0.0000 0.0000 0.0615 0.0000 0.0000 0.0000 0.8678\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0065 0.0613]\n", " [0.0143 0.0000 0.0000 0.0000 0.0000 0.0490 0.0000 0.0000 0.0000 0.0000\n", " 0.8770 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0578 0.0020]\n", " [0.0000 0.0193 0.0000 0.0000 0.0000 0.0000 0.0512 0.0095 0.0000 0.0000\n", " 0.0000 0.6844 0.0000 0.0000 0.0000 0.0232 0.0000 0.1460 0.0404 0.0260\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.0194 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.9806 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.0365 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.9635 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0106 0.0000 0.0000 0.0000 0.0000 0.0189 0.0753 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.7271 0.0000 0.0000 0.0000 0.0280 0.1401\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.0129 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0232 0.0000 0.0000 0.0000 0.9639 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0010 0.0000 0.0000 0.0000 0.0000 0.0682 0.0000 0.0000 0.0055 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.8974 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0225 0.0054]\n", " [0.0000 0.0000 0.0000 0.0177 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.1460 0.0000 0.0000 0.0000 0.0000 0.0000 0.8363 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.0154 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0404 0.0000 0.0000 0.0280 0.0000 0.0000 0.0000 0.9162 0.0000\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 0.0109 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.0260 0.0000 0.0000 0.1401 0.0000 0.0000 0.0000 0.0000 0.8231\n", " 0.0000 0.0000 0.0000 0.0000]\n", " [0.0005 0.0000 0.0000 0.0000 0.0000 0.0028 0.0000 0.0000 0.0038 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.9929 0.0000 0.0000 0.0000]\n", " [0.0006 0.0000 0.0000 0.0000 0.0000 0.0093 0.0000 0.0000 0.0049 0.0000\n", " 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000\n", " 0.0000 0.9852 0.0000 0.0000]\n", " [0.0000 0.0000 0.0007 0.0000 0.0061 0.0000 0.0000 0.0000 0.0000 0.0065\n", " 0.0578 0.0000 0.0000 0.0000 0.0000 0.0000 0.0225 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.9064 0.0000]\n", " [0.0000 0.0000 0.0003 0.0000 0.0004 0.0000 0.0000 0.0000 0.0000 0.0613\n", " 0.0020 0.0000 0.0000 0.0000 0.0000 0.0000 0.0054 0.0000 0.0000 0.0000\n", " 0.0000 0.0000 0.0000 0.9306]], mfe: [StructureEnergy(Structure('........................'), energy=0.0, stack_energy=0.0)], subopt: [StructureEnergy(Structure('........................'), energy=0.0, stack_energy=0.0)]}), : nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 6.198246444E+31, free_energy: -43.08082088479579, mfe_stack: -41.3715934753418, pairs: [[0.2680 0.0000 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0220 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0187 ... 0.0000 0.0000 0.0000]\n", " ...\n", " [0.0000 0.0000 0.0000 ... 0.9380 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.8428 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0000 0.7807]], mfe: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))(..((....)).)...........'), energy=-41.37864685058594, stack_energy=-41.3715934753418)], subopt: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))(..((....)).)...........'), energy=-41.37864685058594, stack_energy=-41.3715934753418)]}), : nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 7.825782682E+62, free_energy: -85.22527344309493, mfe_stack: -83.55513763427734, pairs: [[0.0124 0.0000 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0010 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0008 ... 0.0000 0.0000 0.0000]\n", " ...\n", " [0.0000 0.0000 0.0000 ... 0.0024 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0015 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0000 0.0043]], mfe: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+........................))))))))))))))))))))))))'), energy=-83.62891387939453, stack_energy=-83.55513763427734)], subopt: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+........................))))))))))))))))))))))))'), energy=-83.62891387939453, stack_energy=-83.55513763427734)]}), : nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 2.294698046E+94, free_energy: -127.86559953519007, mfe_stack: -126.01390075683594, pairs: [[0.0124 0.0000 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0010 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0008 ... 0.0000 0.0000 0.0000]\n", " ...\n", " [0.0000 0.0000 0.0000 ... 0.0024 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0015 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0000 0.0043]], mfe: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+(((((((((((((((((((((((((..((....)).)...........+))))))))))))))))))))))))))))))))))))))))))))))))'), energy=-126.03478240966797, stack_energy=-126.01390075683594)], subopt: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+(((((((((((((((((((((((((..((....)).)...........+))))))))))))))))))))))))))))))))))))))))))))))))'), energy=-126.03478240966797, stack_energy=-126.01390075683594)]}), : nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 3.892765727E+20, free_energy: -27.90128735007179, mfe_stack: -27.5828857421875, pairs: [[0.9999 0.0000 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.9997 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 1.0000 ... 0.0000 0.0000 0.0000]\n", " ...\n", " [0.0000 0.0000 0.0000 ... 0.0002 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0173 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0000 0.0997]], mfe: [StructureEnergy(Structure('......((((((((((((((((((......))))))))))))))))))'), energy=-27.740402221679688, stack_energy=-27.5828857421875)], subopt: [StructureEnergy(Structure('......((((((((((((((((((......))))))))))))))))))'), energy=-27.740402221679688, stack_energy=-27.5828857421875)]}), : nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 7.502209679E+20, free_energy: -28.28738934316837, mfe_stack: -27.766735076904297, pairs: [[0.3507 0.0000 0.0000 ... 0.0001 0.0002 0.0000]\n", " [0.0000 0.0044 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0026 ... 0.0000 0.0000 0.0000]\n", " ...\n", " [0.0001 0.0000 0.0000 ... 0.9998 0.0000 0.0000]\n", " [0.0002 0.0000 0.0000 ... 0.0000 0.9817 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0000 0.9825]], mfe: [StructureEnergy(Structure('((((((((((((((((((......))))))))))))))))))......'), energy=-27.979267120361328, stack_energy=-27.766735076904297)], subopt: [StructureEnergy(Structure('((((((((((((((((((......))))))))))))))))))......'), energy=-27.979267120361328, stack_energy=-27.766735076904297)]}), : nupack.analysis.ComplexResult({model: Model('stacking', 'dna04.json', T=296.15 K), pfunc: 1.584577299E+117, free_energy: -158.81434897313252, mfe_stack: -155.05508422851562, pairs: [[0.0124 0.0000 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0010 0.0000 ... 0.0000 0.0000 0.0000]\n", " [0.0000 0.0000 0.0008 ... 0.0000 0.0000 0.0000]\n", " ...\n", " [0.0000 0.0000 0.0000 ... 0.0024 0.0000 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0015 0.0000]\n", " [0.0000 0.0000 0.0000 ... 0.0000 0.0000 0.0043]], mfe: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+((((((((((((((((((......))))))))))))))))))...((.+..(((((((((((((((((((((((..((....)).)...........+))))))))))))))))))))))))))))))))))))))))))))))))'), energy=-155.64846801757812, stack_energy=-155.05508422851562), StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+((((((((((((((((((......))))))))))))))))))..((..+..(((((((((((((((((((((((..((....)).)...........+))))))))))))))))))))))))))))))))))))))))))))))))'), energy=-155.54949951171875, stack_energy=-155.05508422851562)], subopt: [StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+((((((((((((((((((......))))))))))))))))))...((.+..(((((((((((((((((((((((..((....)).)...........+))))))))))))))))))))))))))))))))))))))))))))))))'), energy=-155.64846801757812, stack_energy=-155.05508422851562), StructureEnergy(Structure('((((((((((((((((((((((((+))))))))))))))))))))))))((((((((((((((((((((((((+((((((((((((((((((......))))))))))))))))))..((..+..(((((((((((((((((((((((..((....)).)...........+))))))))))))))))))))))))))))))))))))))))))))))))'), energy=-155.54949951171875, stack_energy=-155.05508422851562)]})})" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Import NUPACK Python module\n", "from nupack import *\n", "\n", "# Define physical model\n", "my_model = Model(material='dna', celsius=23)\n", "\n", "# Define strand species\n", "i1 = Strand('AGTCTAGGATTCGGCGTGGGTTAA', name='i1')\n", "h1 = Strand('TTAACCCACGCCGAATCCTAGACTCAAAGTAGTCTAGGATTCGGCGTG', name='h1')\n", "h2 = Strand('AGTCTAGGATTCGGCGTGGGTTAACACGCCGAATCCTAGACTACTTTG', name='h2')\n", "\n", "# Define complexes\n", "poly1 = Complex([i1, h1])\n", "poly2 = Complex([i1, h1, h2])\n", "poly3 = Complex([i1, h1, h1, h2])\n", "poly4 = Complex([i1, h1, h2, h1, h2])\n", "\n", "# Define complex set comprising all monomers plus additional specified complexes\n", "my_set = ComplexSet(strands=[i1, h1, h2], complexes=SetSpec(max_size=1, include=[poly1, poly2, poly3, poly4]))\n", "\n", "# Analyze the set of complexes\n", "# Calculate pfunc, pairs, mfe for each complex\n", "# Calculate equilibrium complex concentrations (default) for each tube ensemble\n", "set_result = complex_analysis(complexes=my_set, compute=['pfunc', 'pairs', 'mfe'], model=my_model)\n", "set_result" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "MFE proxy structure(s):\n", " (i1): .24 (0.00 kcal/mol)\n", " (i1+h1): (24+)24(.2(2.4)2.).11 (-41.38 kcal/mol)\n", " (i1+h1+h2): (24+)24(24+.24)24 (-83.63 kcal/mol)\n", " (i1+h1+h1+h2): (24+)24(24+(25.2(2.4)2.).11+)48 (-126.03 kcal/mol)\n", " (h1): .6(18.6)18 (-27.74 kcal/mol)\n", " (h2): (18.6)18.6 (-27.98 kcal/mol)\n", " (i1+h1+h2+h1+h2): (24+)24(24+(18.6)18.3(2.+.2(23.2(2.4)2.).11+)48 (-155.65 kcal/mol)\n" ] } ], "source": [ "# Print MFE proxy structure(s) for each complex\n", "print('\\nMFE proxy structure(s):')\n", "for plex, result in set_result.complexes.items():\n", " print('%20s: %50s (%.2f kcal/mol)' % (plex.name, result.mfe[0].structure.rle_dotparensplus(), result.mfe[0].energy))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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rC7fhmSUeVNy/+VpaMyuPyNrxWpkTnpnVjXtpzawUwp0W1iwDN910nXUdL7zQZ8e/5Ilb1ll32Oi9++z41hw+pTWz0nAvrZmVQoQTnpmViIelmFlpuA3PmqJaB8XsJfestTxlzC4NO/7JE/apsrbF/xpsvQRiTYv30taMTtLBVdZNa0w4ZtbOouCjWYqk4y9J+omkjSVtLenXwFGNDszM2kzqtCjyKELSZEkPSVok6awu9tlf0r2SFkj6U60yiyS8/YB/APcCtwD/GRHvKxSxmZVLnap4kgYC5wOHAzsAJ0jaoWKfzYEfA0dHxNuBY2uVW6QNbwtgD7KkNxaYIEkRrd48aZUq2+waOuOwvx6lVMdhKbsDiyLiEQBJVwBTgQdy+3wAuDYinsiOHctrFVqkhjcPuCEiJgO7AaOBW3sWu5n1dwGsWaNCD2CEpLtyj+kVxY0BnswtL07r8t4MbCFpjqS7JZ1UK8YiNbyDcxn0VeATkvYt8DozK5MAitfwVkTEpG62Vyuo8rRhELArcBAwFLhd0ryI+HtXhRZJeCsk/TswPiL+j6SJwLoXappZ6dWxJWMxMC63PBZYWmWfFRHxMvCypLnAO4AuE16RU9qLgdeBd+UO8rVaL5I0TtIfJS1MPShnpPXDJd0k6eH0c4sCMZhZO6jfuJT5wERJ20raADgemFWxz3XAPpIGSdqIrK9hYXeFFqnhbRcRx0k6AbLTWklF6q2rgc9ExD2ShgF3S7oJOBm4OSLOTV3NZwFnFijP6qxaB4VnJbbeKz7kpJaIWC3pdOBGYCBwUUQskHRa2n5BRCyU9FvgPmANcGFE3N9duUUS3huShpLysqTtyGp8tQJeBixLz1+UtJCs0XEqsH/abSYwByc8s/6hjp3zETEbmF2x7oKK5W8B3ypaZpGEdzbwW2CcpMuAvchqaYVJ2gZ4J3AHsHVKhkTEMkkju3jNdGA6wBA26snhzKwZAmJNm08eEBE3SboH2JOs5+SMiFhR9ACSNgGuAT4ZES8UOxuGiJgBzADYVMM9qMusLbRpwpNUeWX5svRzvKTxEXFP5WuqlDGYLNldFhHXptVPSRqVanejgJqDBa3vVLbZNXRwsvU/LV416a6G9x/p5xBgEvBXsvS9E9mpabfzdaeOjZ8BCyPiO7lNs4BpwLnp53W9itzMWk+LJ7wuh6VExAERcQDwOLBLREyKiF3J2uIWFSh7L+BDwIHp4t57JU0hS3SHSHoYOCQtm1m76xx4XOTRJEU6Ld4aEX/rXIiI+yXtXOtFEXELXZ/QH1QsPDNrJ61+CXWRhLdQ0oXApWQ5/ERqDO4zs5Jq915a4BTgo8AZaXku8JOGRWQtxYOTrSfU7jW8iHgN+G56mJlV1+zpjAuomfAk7QWcA0zI7x8Rb2pcWGbWfprbIVFEkVPanwGfAu4GOhobjpm1tXav4QHPR8QNDY/E2oYHJ1uX1jQ7gO4VSXh/lPQt4FpykwYUudLCzEqkZxOANkWRhLdH+pmfnTSAA+sfjpm1s/7QS3tAXwRiZv1AuyY8SSdGxKWSPl1te8X1sWZmLa+7Gt7G6eewvgjE6uuSJ25ZZ93JE/ZZe0WdrgOq1kExYNi6X5s1L75Yl+NZ62rbU9qI+Gn6+eW+C8fM2lbQLy4tMzMrpl1reGZmPdW2p7RmZj3W7glP0tbAN4DREXG4pB2Ad0XEzxoenRW27gwm1Sak7rtvozsoSqrFE16RG3FfQnZvyNFp+e/AJxsUj5m1KUXxR7MUSXgjIuIq0lVyEbEaTyJgZtWsUbFHkxRpw3tZ0pb880bcewLPNzQqM2tL/aHT4tNkdxrbTtKtwFbA+xoalXXLs5NYy2r3hBcR90jaD3gL2U15HoqIVQ2PzMzaS5Pb54qo2YYn6VhgaEQsAI4Brqxyk24zs39O817r0SRFOi3+PSJelLQ3cBgwE9/Ex8yq0Jpij2YpkvA6e2SPAH4SEdcBGzQuJDOzxijSabFE0k+Bg4HzJG1IsURpdeLbIlrbaPc2POD9ZAOPJ0fEc8Bw4P82Migza0NtMPC4SC/tK8C1kkZKGp9WP9jYsMysLbV7DU/S0ZIeBh4F/pR++i5mZrauFu+lLdKG91VgT+D3EfFOSQcAJzQ2rPLyoGJrV6K5PbBFFGnDWxURK4EBkgZExB+BnRsblpm1nTq34UmaLOkhSYskndXNfrtJ6pBU8wqwIjW85yRtAswFLpO0HFhdLGQzK5U6na5KGgicDxwCLAbmS5oVEQ9U2e88so7VmorU8KYCrwCfAn4L/AM4qnjoZlYa9WvD2x1YFBGPRMQbwBVkuajSvwHXAMuLFFqkl/bl9HSNpN8AKyPqdLsrM+tXejDkZISku3LLMyJiRm55DPBkbnkxsMdax5LGAO8BDgR2K3LQ7u5LuydwLvAMWcfFL4ARZG15J0XEb4scwLrmDgrrd4onvBURMamb7dUmzass/XvAmRHRIRWbY6+7Gt6PgC8AmwF/AA6PiHmS3gpcTnZ6a2aWibr20i4GxuWWxwJLK/aZBFyRkt0IYIqk1RHxq64K7S7hDYqI3wFI+kpEzAOIiAeLZlMzK5n6NXbNByZK2hZYAhwPfGCtQ0Vs2/lc0iXA9d0lO+i+0yKfq1+t2FbzbUkaIulOSX+VtEDSl9P64ZJukvRw+rlFrbLMrD3Ua1hKupXE6WS9rwuBqyJigaTTJJ3W2/i6q+G9Q9ILZOfSQ9Nz0vKQAmW/DhwYES9JGgzcIukG4L3AzRFxbhpbcxZwZm/fQDvxJADW79WxOzMiZgOzK9Zd0MW+Jxcps8uEFxEDexJcldcH8FJaHJweQda1vH9aPxOYQ0kSnlm/1uTLxopo6DRPkgZKupdsjMxNEXEHsHVELANIP0c2MgYz6xuiH8yWsj4iogPYWdLmwC8l7Vj0tZKmA9MBhrBRYwI0s7pq+3ta1EOaR28OMBl4StIogPSz6gjpiJgREZMiYtJgNuyLMM1sffWD2VJ6RdJWZBMPPCdpKGnGZLJbPk4jG9Q8DbiuUTE0kwcVWym1eA2vkae0o4CZ6eLeAWTdytdLuh24StKpwBPAsQ2Mwcz6ShvcprFhCS8i7gPeWWX9SuCgRh3XzJqorAnPzMqn1ScAdcKrEw8qNivxKa2ZlUwbDDx2wjOz+nHCM7My6LzSopU54ZlZ3WhNa2c8J7xe8KBisyrchmdmZeJTWjMrDyc8MysL1/D6AQ8qNivICc/MSqG+dy1rCCc8M6sLj8Mzs3KJ1s54TnhmVjeu4bUZDyo26yUPPDazMnGnhZmVhhOemZVD4E6LVudBxWb1404LMysPJzwzKwMPPDaz8ojwBKBmViKtne/KlfA8qNissXxKa2blEIBPac2sNFo73zGg2QGYWf+hKPYoVJY0WdJDkhZJOqvK9g9Kui89bpP0jlpluoZnZnVTr15aSQOB84FDgMXAfEmzIuKB3G6PAvtFxLOSDgdmAHt0V26/Tni+isKsD9V3tpTdgUUR8QiApCuAqcD/JLyIuC23/zxgbK1C+3XCM7O+kw08LpzxRki6K7c8IyJm5JbHAE/mlhfTfe3tVOCGWgd1wjOz+ik+W8qKiJjUzXZVWVc1m0o6gCzh7V3roE54ZlY3Pajh1bIYGJdbHgssXed40k7AhcDhEbGyVqH9JuF5ULFZk9W3DW8+MFHStsAS4HjgA/kdJI0HrgU+FBF/L1Jov0l4ZtZs9buWNiJWSzoduBEYCFwUEQsknZa2XwB8CdgS+LEkgNU1TpOd8Mysjuo4AWhEzAZmV6y7IPf8I8BHelKmE56Z1Ucb3Ii74VdaSBoo6S+Srk/LwyXdJOnh9HOLRsdgZn0kotijSfqihncGsBDYNC2fBdwcEeemy0XOAs7saaGzl9yz1vJho3dZzzDN+pgqRl60+P0gCmnxt9DQGp6kscARZN3GnaYCM9PzmcAxjYzBzPqO1qwp9GiWRtfwvgd8DhiWW7d1RCwDiIhlkkZWe6Gk6cB0gCFs1OAwzWy9BT0ZeNwUDavhSToSWB4Rd/fm9RExIyImRcSkwWxY5+jMrN5EoCj2aJZG1vD2Ao6WNAUYAmwq6VLgKUmjUu1uFLC8VkGrt9+Qp7/7lrXWTRnTiJDN+lDFH/7yj717nV1G/vi2dda1tBZvh2xYDS8iPh8RYyNiG7JR0n+IiBOBWcC0tNs04LpGxWBmfcy9tOs4F7hK0qnAE8CxTYjBzOqtDdrw+iThRcQcYE56vhI4qC+Oa2Z9q5k9sEX4Sgszq5Pmnq4W0RYJb9Ci19nq6IeaHYZZQ1XroPjl4jvXWn7P2N17VbYGb7DWcqx6o1fldCtwwjOzEmntM1onPDOrn2aOsSvCCc/M6scJz8x6q7LNrrJNr9o+1VS22VW26bGq2i0keigCOlr7nNYJz8zqxzU8MysNJzwzK4UA6nRPi0ZxwjOzOgkIt+GZWZ1U66CovEVpkduTrjPwuB6nooE7LcysRNyGZ2al4YRnZuXgyQPMrMEq2+wq2/Sq7dMQAXh6KDMrDdfwzKwcfGmZmZVFQHgcnpmVhq+0MLPe6s1MxdU6KOo1c3JNbsMzs1KIcC+tmZWIa3hmVg5BdHQ0O4huOeGZtbCaMxVX2aeaWjMn73v4y72IrjIQ3GlhZiXS4sNSBjQ7ADPrHwKINVHoUYSkyZIekrRI0llVtkvSD9L2+yTtUqtMJzwzq49IE4AWedQgaSBwPnA4sANwgqQdKnY7HJiYHtOBn9Qq1wnPzOomOjoKPQrYHVgUEY9ExBvAFcDUin2mAj+PzDxgc0mjuiu0LdrwXuTZFb+Pqx8HRgArmh1PL7Rj3I65b/Qs5tr9E4UMG7POqgnrW+aLPHvj7+PqEQV3HyLprtzyjIiYkVseAzyZW14M7FFRRrV9xgDLujpoWyS8iNgKQNJdETGp2fH0VDvG7Zj7RjvG3JWImFzH4qrdKLey8a/IPmvxKa2ZtaLFwLjc8lhgaS/2WYsTnpm1ovnAREnbStoAOB6YVbHPLOCk1Fu7J/B8RHR5OgttckqbM6P2Li2pHeN2zH2jHWNuuIhYLel04EZgIHBRRCyQdFrafgEwG5gCLAJeAU6pVa6ixa99MzOrF5/SmllpOOGZWWm0TcKrdZlJK5B0kaTlku7PrRsu6SZJD6efWzQzxkqSxkn6o6SFkhZIOiOtb9m4JQ2RdKekv6aYv5zWt2zMnSQNlPQXSden5ZaPuT9pi4RX8DKTVnAJUDkW6Szg5oiYCNycllvJauAzEfE2YE/g4+mzbeW4XwcOjIh3ADsDk1MvXSvH3OkMYGFuuR1i7jfaIuFR7DKTpouIucAzFaunAjPT85nAMX0ZUy0RsSwi7knPXyT7YxxDC8edLiV6KS0OTo+ghWMGkDQWOAK4MLe6pWPub9ol4XV1CUk72LpzbFD6ObLJ8XRJ0jbAO4E7aPG406nhvcBy4KaIaPmYge8BnwPyV8+3esz9SrskvB5fQmI9I2kT4BrgkxHxQrPjqSUiOiJiZ7LR9btL2rHJIXVL0pHA8oi4u9mxlFm7JLweX0LSQp7qnMEh/Vze5HjWIWkwWbK7LCKuTatbPm6AiHgOmEPWdtrKMe8FHC3pMbImmQMlXUprx9zvtEvCK3KZSauaBUxLz6cB1zUxlnVIEvAzYGFEfCe3qWXjlrSVpM3T86HAwcCDtHDMEfH5iBgbEduQfX//EBEn0sIx90dtc6WFpClkbSCdl5l8vbkRrUvS5cD+ZFP+PAWcDfwKuAoYDzwBHBsRlR0bTSNpb+DPwN/4Z9vSF8ja8Voybkk7kTXwDyT7p31VRHxF0pa0aMx5kvYHPhsRR7ZLzP1F2yQ8M7P11S6ntGZm680Jz8xKwwnPzErDCc/MSsMJz8xKwwmvRCR1SLo3zTJyj6R3N/BYp0k6qYevmSOpX9zQxlpTu03xbuvn1XQ5FpIOA74J7NeIA6UpuM1aimt45bUp8Cxk19FKujnV+v4maWpav7Gk36Qa4f2Sjkvrd5X0J0l3S7qx2s2PJZ0j6bPp+RxJ56U57P4uaZ+0fqikKyTdJ+lKYGju9YdKuj3F9F8pxglp3rgRkgZI+rOkQxv/UVl/4RpeuQxNM4wMAUYBB6b1rwHviYgXJI0A5kmaRXZ96tKIOAJA0mbputsfAlMj4umUBL8OfLjGsQdFxO7pipmzyS4H+yjwSkTslK6euCcdZwTwReDgiHhZ0pnAp9PVFOcBF5BdCfJARPyuLp+MlYITXrnkT2nfBfw8zTIi4BuS9iW7vGwMsDXZ5WbfTknm+oj4c9p/R+Cm7DJcBtLNnd5zOicluBvYJj3fF/gBQETcJ+m+tH5Psoleb03H2AC4Pe13oaRjgdPIJv80K8wJr6Qi4vZUk9qK7FZ3WwG7RsSqNKPHkIj4u6Rd0/ZvSvod8EtgQUS8q4eHfD397GDt7121axtFNsfdCetskDYimy0HYBPgxR7GYSXmNrySkvRWstrZSmAzsrnaVkk6AJiQ9hlNdsp5KfBtYBfgIWCrVENE0mBJb+9lGHOBD6ZydgR2SuvnAXtJ2j5t20jSm9O284DLgC8B/6+Xx7WScg2vXDrb8CCrRU2LiA5JlwG/lnQXcC/ZVEsA/xv4lqQ1wCrgoxHxhqT3AT+QtBnZd+h7wIJexPMT4OJ0KnsvcCdAahs8Gbhc0oZp3y+mzpHdgL1S3P8i6ZSIuLgXx7YS8mwpZlYaPqU1s9JwwjOz0nDCM7PScMIzs9JwwjOz0nDCM7PScMIzs9L4/zySleZLQF1wAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the equilibrium pair probability matrix for each complex\n", "import matplotlib.pyplot as plt\n", "\n", "for plex, result in set_result.complexes.items():\n", " plt.imshow(result.pairs.to_array())\n", " plt.xlabel('Base index')\n", " plt.ylabel('Base index')\n", " plt.title('Pair probabilities for complex ' + plex.name)\n", " plt.colorbar()\n", " plt.clim(0, 1)\n", " plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.8" } }, "nbformat": 4, "nbformat_minor": 4 }