{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Building Gene Regulatory Networks with BioCRNpyler\n", "\n", "In this notebook, we will use RegulatedPromoter and CombinatorialPromoter to model Gene Regulation via Transcription Factors.\n", "\n", "_Note: For this notebook to function, you need the default_parameter.txt file in the same folder as the notebook._" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Modeling Gene Regulation by a Single Transcription Factor\n", "In biology, it is very common for a transcription factor to turn on or off promoter. BioCRNpyler has a number of Promoter Components to do this.\n", "* RegulatedPromoter: A list of regulators each bind individually to turn a Promoter ON or OFF (No Combinatorial Logic)\n", "* RepressiblePromoter: A single repressor modelled with a hill function\n", "* ActivatablePromoter: A single activator modeled with a hill function\n", "\n", "In the next example, we will produce and compare the outputs of these kinds of promoters." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 1: ActivatablePromoter\n", "A very simple Promoter Component modelled with a hill function. However, this class is not able to accurately capture the binding of Machinery like RNAP and shouldn't be used with Mixtures that include machinery." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 4) = {\n", " small_molecule[activator] (@ 0), \n", " rna[activatable_assembly] (@ 0), \n", " dna[activatable_assembly] (@ 0), \n", " A (@ 0), \n", "}\n", "\n", "Reactions (4) = [\n", "0. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf = k dna[activatable_assembly] small_molecule[activator]^n / ( K^n + small_molecule[activator]^n )\n", " k=1.0\n", " found_key=(mech=None, partid=None, name=k).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=k).\n", " K=20\n", " found_key=(mech=None, partid=None, name=K).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=K).\n", " n=4\n", " found_key=(mech=None, partid=None, name=n).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=n).\n", "\n", "1. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf=k_forward * dna_activatable_assembly\n", " k_forward=0.01\n", " found_key=(mech=None, partid=None, name=kleak).\n", " search_key=(mech=positivehill_transcription, partid=P_activtable_activator, name=kleak).\n", "\n", "2. rna[activatable_assembly] --> rna[activatable_assembly]+A\n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.25\n", " found_key=(mech=simple_translation, partid=None, name=ktl).\n", " search_key=(mech=simple_translation, partid=Strong, name=ktl).\n", "\n", "3. rna[activatable_assembly] --> \n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.001\n", " found_key=(mech=rna_degradation, partid=None, name=kdil).\n", " search_key=(mech=rna_degradation, partid=rna_activatable_assembly, name=kdil).\n", "\n", "]\n" ] } ], "source": [ "from biocrnpyler.core import Species\n", "from biocrnpyler.components import DNAassembly, ActivatablePromoter\n", "from biocrnpyler.mixtures import SimpleTxTlExtract\n", "\n", "#ActivatedPromoter Example\n", "activator = Species(\"activator\", material_type = \"small_molecule\")\n", "S_A = Species(\"A\")\n", "\n", "#Create a custom set of parameters\n", "hill_parameters = {\"k\":1.0, \"n\":4, \"K\":20, \"kleak\":.01}\n", "#By Loading custom parameters into the promoter, we override the default parameters of the Mixture\n", "P_activatable = ActivatablePromoter(\"P_activtable\", activator = activator, leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "activatable_assembly = DNAassembly(name=\"activatable_assembly\", promoter=P_activatable, rbs=\"Strong\", protein = S_A)\n", "\n", "M = SimpleTxTlExtract(name=\"SimpleTxTl\", parameter_file = \"default_parameters.txt\", components=[activatable_assembly])\n", "\n", "CRN = M.compile_crn();\n", "\n", "print(CRN.pretty_print(show_rates = True, show_keys = True))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Titrate the activator and plot the result\n", "try:\n", " import bioscrape\n", " import matplotlib.pyplot as plt\n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " %matplotlib inline\n", " import numpy as np\n", " import pandas as pd\n", " \n", " for a_c in np.linspace(0, 50, 5):\n", " x0 = {activatable_assembly.dna:1, activator:a_c}\n", " timepoints = np.linspace(0, 100, 100)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " plt.plot(R[\"time\"], R[str(S_A)], label = \"[activator]=\"+str(a_c))\n", "\n", " plt.ylabel(f\"[{S_A}]\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 2: RepressiblePromoter\n", "A very simple Promoter Component modelled with a hill function. However, this class is not able to accurately capture the binding of Machinery like RNAP and shouldn't be used with Mixtures that include machinery." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 4) = {\n", " protein[reporter] (@ 0), \n", " rna[reporter] (@ 0), \n", " dna[reporter] (@ 0), \n", " A (@ 0), \n", "}\n", "\n", "Reactions (4) = [\n", "0. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf = k dna[reporter] / ( 1 + (A/K)^4 )\n", " k=1.0\n", " found_key=(mech=None, partid=None, name=k).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=k).\n", " K=20\n", " found_key=(mech=None, partid=None, name=K).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=K).\n", " n=4\n", " found_key=(mech=None, partid=None, name=n).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=n).\n", "\n", "1. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", " found_key=(mech=None, partid=None, name=kleak).\n", " search_key=(mech=negativehill_transcription, partid=P_repressible_A, name=kleak).\n", "\n", "2. rna[reporter] --> rna[reporter]+protein[reporter]\n", " Kf=k_forward * rna_reporter\n", " k_forward=0.25\n", " found_key=(mech=simple_translation, partid=None, name=ktl).\n", " search_key=(mech=simple_translation, partid=Strong, name=ktl).\n", "\n", "3. rna[reporter] --> \n", " Kf=k_forward * rna_reporter\n", " k_forward=0.001\n", " found_key=(mech=rna_degradation, partid=None, name=kdil).\n", " search_key=(mech=rna_degradation, partid=rna_reporter, name=kdil).\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] } ], "source": [ "from biocrnpyler.components import RepressiblePromoter\n", "#ActivatedPromoter Example\n", "repressor = S_A #defined in the previous example\n", "reporter = Species(\"reporter\", material_type = \"protein\")\n", "\n", "#Create a custom set of parameters\n", "hill_parameters = {\"k\":1.0, \"n\":4, \"K\":20, \"kleak\":.01}\n", "#By Loading custom parameters into the promoter, we override the default parameters of the Mixture\n", "P_repressible = RepressiblePromoter(\"P_repressible\", repressor = repressor, leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "repressible_assembly = DNAassembly(name=\"reporter\", promoter=P_repressible, rbs=\"Strong\", protein = reporter)\n", "\n", "M = SimpleTxTlExtract(name=\"SimpleTxTl\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly])\n", "\n", "CRN = M.compile_crn()\n", "\n", "print(CRN.pretty_print(show_rates = True, show_keys = True))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Titrate the repressor and plot the result\n", "try:\n", " import bioscrape\n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", "\n", " for r_c in np.linspace(0, 50, 5):\n", " x0 = {repressible_assembly.dna:1, repressor:r_c}\n", " timepoints = np.linspace(0, 100, 100)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = f\"[{str(S_A)}]={r_c}\")\n", "\n", " plt.ylabel(\"[B]\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 3: A Simple Genetic Regulatory Network\n", "In this example, the activatable_assembly will produce a repressor that represses the repressable_assembly. Notice that activatable_assembly already procues the repressor of the RepressablePromoter...so this is easy!" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 7) = {\n", " protein[reporter] (@ 0), \n", " rna[reporter] (@ 0), \n", " dna[reporter] (@ 0), \n", " small_molecule[activator] (@ 0), \n", " rna[activatable_assembly] (@ 0), \n", " dna[activatable_assembly] (@ 0), \n", " A (@ 0), \n", "}\n", "\n", "Reactions (8) = [\n", "0. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf = k dna[reporter] / ( 1 + (A/K)^4 )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "1. dna[reporter] --> dna[reporter]+rna[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", "\n", "2. rna[reporter] --> rna[reporter]+protein[reporter]\n", " Kf=k_forward * rna_reporter\n", " k_forward=0.25\n", "\n", "3. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf = k dna[activatable_assembly] small_molecule[activator]^n / ( K^n + small_molecule[activator]^n )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "4. dna[activatable_assembly] --> dna[activatable_assembly]+rna[activatable_assembly]\n", " Kf=k_forward * dna_activatable_assembly\n", " k_forward=0.01\n", "\n", "5. rna[activatable_assembly] --> rna[activatable_assembly]+A\n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.25\n", "\n", "6. rna[reporter] --> \n", " Kf=k_forward * rna_reporter\n", " k_forward=0.001\n", "\n", "7. rna[activatable_assembly] --> \n", " Kf=k_forward * rna_activatable_assembly\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M = SimpleTxTlExtract(name=\"SimpleTxTl\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly, activatable_assembly])\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Titrate the activator, which in turn will automatically produce the repressor\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (10, 6))\n", " ax1, ax2 = plt.subplot(121), plt.subplot(122)#Create two subplots\n", " for a_c in np.linspace(0, 50, 5):\n", " x0 = {activatable_assembly.dna:1, repressible_assembly.dna:1, activator:a_c}\n", " timepoints = np.linspace(0, 100, 100)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " plt.sca(ax1)\n", " plt.plot(R[\"time\"], R[str(S_A)], label = \"[activator]=\"+str(a_c))\n", " plt.sca(ax2)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = \"[activator]=\"+str(a_c))\n", "\n", " plt.sca(ax1)\n", " plt.ylabel(\"activatable assembly output: [A]\")\n", " plt.legend()\n", " plt.sca(ax2)\n", " plt.ylabel(\"repressable assembly output: [B]\")\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 4: RegulatedPromoter\n", "In the below example, a CRN from RegulatedPromoter is generated. This Component models the detailed binding of regulators to the DNA and has seperate transcription rates for each regulator. It is suitable for complex models that include machinery. Regulators do not act Combinatorically." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 16) = {\n", " protein[Ribo] (@ 24.0), \n", " protein[RNAase] (@ 6.0), \n", " protein[RNAP] (@ 3.0), \n", " protein[reporter] (@ 0), \n", " rna[reporter] (@ 0), \n", " dna[reporter] (@ 0), \n", " complex[protein[Ribo]:rna[reporter]] (@ 0), \n", " complex[protein[RNAase]:rna[reporter]] (@ 0), \n", " complex[dna[reporter]:2x_protein[R]] (@ 0), \n", " complex[dna[reporter]:protein[RNAP]] (@ 0), \n", " complex[dna[reporter]:2x_protein[A]] (@ 0), \n", " complex[complex[protein[Ribo]:rna[reporter]]:protein[RNAase]] (@ 0), \n", " complex[complex[dna[reporter]:2x_protein[R]]:protein[RNAP]] (@ 0), \n", " complex[complex[dna[reporter]:2x_protein[A]]:protein[RNAP]] (@ 0), \n", " protein[R] (@ 0), \n", " protein[A] (@ 0), \n", "}\n", "\n", "Reactions (14) = [\n", "0. dna[reporter]+protein[RNAP] <--> complex[dna[reporter]:protein[RNAP]]\n", " Kf=k_forward * dna_reporter * protein_RNAP\n", " Kr=k_reverse * complex_dna_reporter_protein_RNAP_\n", " k_forward=2.0\n", " k_reverse=100\n", "\n", "1. complex[dna[reporter]:protein[RNAP]] --> dna[reporter]+rna[reporter]+protein[RNAP]\n", " Kf=k_forward * complex_dna_reporter_protein_RNAP_\n", " k_forward=1.0\n", "\n", "2. 2protein[A]+dna[reporter] <--> complex[dna[reporter]:2x_protein[A]]\n", " Kf=k_forward * protein_A^2 * dna_reporter\n", " Kr=k_reverse * complex_dna_reporter_protein_A_2x_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. complex[dna[reporter]:2x_protein[A]]+protein[RNAP] <--> complex[complex[dna[reporter]:2x_protein[A]]:protein[RNAP]]\n", " Kf=k_forward * complex_dna_reporter_protein_A_2x_ * protein_RNAP\n", " Kr=k_reverse * complex_complex_dna_reporter_protein_A_2x__protein_RNAP_\n", " k_forward=100\n", " k_reverse=1.0\n", "\n", "4. complex[complex[dna[reporter]:2x_protein[A]]:protein[RNAP]] --> complex[dna[reporter]:2x_protein[A]]+rna[reporter]+protein[RNAP]\n", " Kf=k_forward * complex_complex_dna_reporter_protein_A_2x__protein_RNAP_\n", " k_forward=1.0\n", "\n", "5. 2protein[R]+dna[reporter] <--> complex[dna[reporter]:2x_protein[R]]\n", " Kf=k_forward * protein_R^2 * dna_reporter\n", " Kr=k_reverse * complex_dna_reporter_protein_R_2x_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "6. complex[dna[reporter]:2x_protein[R]]+protein[RNAP] <--> complex[complex[dna[reporter]:2x_protein[R]]:protein[RNAP]]\n", " Kf=k_forward * complex_dna_reporter_protein_R_2x_ * protein_RNAP\n", " Kr=k_reverse * complex_complex_dna_reporter_protein_R_2x__protein_RNAP_\n", " k_forward=1\n", " k_reverse=100.0\n", "\n", "7. complex[complex[dna[reporter]:2x_protein[R]]:protein[RNAP]] --> complex[dna[reporter]:2x_protein[R]]+rna[reporter]+protein[RNAP]\n", " Kf=k_forward * complex_complex_dna_reporter_protein_R_2x__protein_RNAP_\n", " k_forward=1.0\n", "\n", "8. rna[reporter]+protein[Ribo] <--> complex[protein[Ribo]:rna[reporter]]\n", " Kf=k_forward * rna_reporter * protein_Ribo\n", " Kr=k_reverse * complex_protein_Ribo_rna_reporter_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "9. complex[protein[Ribo]:rna[reporter]] --> rna[reporter]+protein[reporter]+protein[Ribo]\n", " Kf=k_forward * complex_protein_Ribo_rna_reporter_\n", " k_forward=0.05\n", "\n", "10. complex[protein[Ribo]:rna[reporter]]+protein[RNAase] <--> complex[complex[protein[Ribo]:rna[reporter]]:protein[RNAase]]\n", " Kf=k_forward * complex_protein_Ribo_rna_reporter_ * protein_RNAase\n", " Kr=k_reverse * complex_complex_protein_Ribo_rna_reporter__protein_RNAase_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "11. complex[complex[protein[Ribo]:rna[reporter]]:protein[RNAase]] --> protein[Ribo]+protein[RNAase]\n", " Kf=k_forward * complex_complex_protein_Ribo_rna_reporter__protein_RNAase_\n", " k_forward=0.001\n", "\n", "12. rna[reporter]+protein[RNAase] <--> complex[protein[RNAase]:rna[reporter]]\n", " Kf=k_forward * rna_reporter * protein_RNAase\n", " Kr=k_reverse * complex_protein_RNAase_rna_reporter_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "13. complex[protein[RNAase]:rna[reporter]] --> protein[RNAase]\n", " Kf=k_forward * complex_protein_RNAase_rna_reporter_\n", " k_forward=0.001\n", "\n", "]\n" ] } ], "source": [ "from biocrnpyler.core import ParameterKey\n", "from biocrnpyler.components import RegulatedPromoter\n", "from biocrnpyler.mixtures import TxTlExtract\n", "#1 Regulated Promoter Needs lots of parameters!\n", "component_parameters = {\n", " #Promoter Activator Binding Parameters. Note the part_id = [promoter_name]_[regulator_name]\n", " ParameterKey(mechanism = 'binding', part_id = 'regulated_promoter_A', name = 'kb'):100, #Promoter - Activator Binding\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_A\", name = 'ku'):5.0, #Unbinding\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_A\", name = 'cooperativity'):4.0, #Cooperativity\n", " \n", " #Activated Promoter Transcription. Note the part_id = [promoter_name]_[regulator_name]\n", " #These regulate RNAP binding to an activated promoter and transcription\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_A', name = 'kb'):100, #Promoter - Activator Binding\n", " ParameterKey(mechanism = 'transcription', part_id = \"regulated_promoter_A\", name = 'ku'):1.0, #Unbinding\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_A', name = \"ktx\"): 1., #Transcription Rate\n", " \n", " #Promoter Repressor Binding Parameters. Note the part_id = [promoter_name]_[regulator_name]\n", " ParameterKey(mechanism = 'binding', part_id = 'regulated_promoter_R', name = 'kb'):100,\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_R\", name = 'ku'):5.0,\n", " ParameterKey(mechanism = 'binding', part_id = \"regulated_promoter_R\", name = 'cooperativity'):4.0,\n", " \n", " #Repressed Promoter Transcription. Note the part_id = [promoter_name]_[regulator_name]\n", " #These regulate RNAP binding to a repressed promoter and transcription\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_R', name = 'kb'):1,\n", " ParameterKey(mechanism = 'transcription', part_id = \"regulated_promoter_R\", name = 'ku'):100.0,\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_R', name = \"ktx\"): 1.0, #Transcription Rate\n", " \n", " #Leak Parameters for transcription\n", " #These regulate expression of an unbound promoter\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_leak', name = \"kb\"): 2.,\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_leak', name = \"ku\"): 100,\n", " ParameterKey(mechanism = 'transcription', part_id = 'regulated_promoter_leak', name = \"ktx\"): 1.0, #Transcription Rate\n", "}\n", "\n", "repressor = Species(\"R\", material_type = \"protein\")\n", "activator = Species(\"A\", material_type = \"protein\")\n", "reporter = Species(\"reporter\", material_type = \"protein\")\n", "\n", "#Create a RegulatedPromoter Object named \"P_reg\" with regulators \"activator\" and \"repressor\"\n", "#By Loading custom parameters into the promoter, we override the default parameters of the Mixture\n", "P_reg = RegulatedPromoter(\"regulated_promoter\", regulators=[activator, repressor], leak=True, parameters = component_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_reg for its promoter\n", "reg_reporter = DNAassembly(name=\"reporter\", promoter=P_reg, rbs=\"Strong\", protein = reporter)\n", "\n", "#Use a simple TxTl model with dilution\n", "#M = SimpleTxTlDilutionMixture(name=\"e coli\", parameter_file = \"default_parameters.txt\", components=[reg_reporter])\n", "M = TxTlExtract(name=\"e coli extract\", parameter_file = \"default_parameters.txt\", components=[reg_reporter])\n", "\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Lets titrate Repressor and Activator - notice the bahvior is not combinatorial\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (20, 10))\n", " ax1, ax2, ax3 = plt.subplot(131), plt.subplot(132), plt.subplot(133)\n", " titration_list = [0, .05, .1, .5, 1.0, 5.]\n", " N = len(titration_list)\n", " HM = np.zeros((N, N))\n", " for a_ind, a_c in enumerate(titration_list):\n", " for r_ind, r_c in enumerate(titration_list):\n", " x0 = {reg_reporter.dna:.1, repressor:r_c, activator:a_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " if a_ind == 0:\n", " plt.sca(ax1)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = \"[A]=\"+str(a_c) +\" [R]=\"+str(r_c))\n", " if r_ind == 0:\n", " plt.sca(ax2)\n", " plt.plot(R[\"time\"], R[str(reporter)], label = \"[A]=\"+str(a_c) +\" [R]=\"+str(r_c))\n", " HM[a_ind, r_ind] = R[str(reporter)][len(timepoints)-1]\n", "\n", " plt.sca(ax1)\n", " plt.title(\"Repressor Titration\")\n", " plt.legend()\n", " plt.sca(ax2)\n", " plt.title(\"Activator Titration\")\n", " plt.legend()\n", " plt.sca(ax3)\n", " plt.title(\"Endpoint Heatmap (log)\")\n", " cb = plt.pcolor(np.log(HM))\n", " plt.colorbar(cb)\n", " plt.xlabel(\"Repressor\")\n", " plt.ylabel(\"Activator\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in titration_list])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in titration_list])\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 5: Induction Model of a Ligand which Activates a Transcription Factor\n", "In many biological circuits, small molecules (ligands) can bind to a transcription factor modulating its functionality. \n", "\n", "In BioCRNpyler, we will model this by creating a ChemicalComplex Component which consists of a Transcription Factor and a ligand. This the ComplexSpecies formed by by binding the transcription will also work as the regulator (activator or repressor) of a regulated promoter. In this example, we will use RepressablePromoter. \n", "\n", "In the activating case, the bound form of the ChemicalComplex will induce gene expression." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 5) = {\n", " protein[reporter] (@ 0), \n", " dna[reporter] (@ 0), \n", " complex[ligand[L]:protein[A]] (@ 0), \n", " ligand[L] (@ 0), \n", " protein[A] (@ 0), \n", "}\n", "\n", "Reactions (7) = [\n", "0. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf = k dna[reporter] / ( 1 + (complex[ligand[L]:protein[A]]/K)^4 )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "1. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", "\n", "2. ligand[L]+protein[A] <--> complex[ligand[L]:protein[A]]\n", " Kf=k_forward * ligand_L * protein_A\n", " Kr=k_reverse * complex_ligand_L_protein_A_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. protein[reporter] --> \n", " Kf=k_forward * protein_reporter\n", " k_forward=0.001\n", "\n", "4. ligand[L] --> \n", " Kf=k_forward * ligand_L\n", " k_forward=0.001\n", "\n", "5. protein[A] --> \n", " Kf=k_forward * protein_A\n", " k_forward=0.001\n", "\n", "6. complex[ligand[L]:protein[A]] --> \n", " Kf=k_forward * complex_ligand_L_protein_A_\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] } ], "source": [ "from biocrnpyler.components import ChemicalComplex\n", "from biocrnpyler.mixtures import ExpressionDilutionMixture\n", "\n", "inactive_repressor = Species(\"A\", material_type = \"protein\")\n", "ligand = Species(\"L\", material_type = \"ligand\")\n", "\n", "#Create a ChemicalComplex to model ligand-inactive_repressor bindning\n", "activatable_repressor = ChemicalComplex([inactive_repressor, ligand])\n", "\n", "#Other Promoters could also be used\n", "P_repressible = RepressiblePromoter(\"P_repressible\", repressor = activatable_repressor.get_species(), leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "repressible_assembly = DNAassembly(name=\"reporter\", promoter=P_repressible, rbs=\"Strong\", protein = \"reporter\")\n", "\n", "M = ExpressionDilutionMixture(name=\"ExpressionDilutionMixture\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly, activatable_repressor])\n", "CRN = M.compile_crn();print(CRN.pretty_print(show_rates = True, show_keys = False))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Lets titrate ligand and repressor\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (8, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 100\n", " HM = np.zeros((N, N))\n", " for r_ind, R_c in enumerate(np.linspace(0, max_titration, N)):\n", " for l_ind, L_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {repressible_assembly.dna:1, inactive_repressor:R_c, ligand:L_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[r_ind, l_ind] = R[\"protein_reporter\"][len(timepoints)-1]\n", "\n", " plt.title(\"Activatable Repressor vs Ligand Endpoint Heatmap\\n Exhibits NOT AND Logic\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"Ligand\")\n", " plt.ylabel(\"Activatbale Repressor\")\n", " \n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 6: Induction Models of a Ligand which Deactivates a Transcription Factor\n", "In the inactivating case, the unbound transcription factor will activate the gene and the bound form will not." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 5) = {\n", " protein[reporter] (@ 0), \n", " dna[reporter] (@ 0), \n", " complex[ligand[L]:protein[A]] (@ 0), \n", " ligand[L] (@ 0), \n", " protein[A] (@ 0), \n", "}\n", "\n", "Reactions (7) = [\n", "0. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf = k dna[reporter] / ( 1 + (protein[A]/K)^4 )\n", " k=1.0\n", " K=20\n", " n=4\n", "\n", "1. dna[reporter] --> dna[reporter]+protein[reporter]\n", " Kf=k_forward * dna_reporter\n", " k_forward=0.01\n", "\n", "2. ligand[L]+protein[A] <--> complex[ligand[L]:protein[A]]\n", " Kf=k_forward * ligand_L * protein_A\n", " Kr=k_reverse * complex_ligand_L_protein_A_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. protein[reporter] --> \n", " Kf=k_forward * protein_reporter\n", " k_forward=0.001\n", "\n", "4. ligand[L] --> \n", " Kf=k_forward * ligand_L\n", " k_forward=0.001\n", "\n", "5. protein[A] --> \n", " Kf=k_forward * protein_A\n", " k_forward=0.001\n", "\n", "6. complex[ligand[L]:protein[A]] --> \n", " Kf=k_forward * complex_ligand_L_protein_A_\n", " k_forward=0.001\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] } ], "source": [ "repressor = Species(\"A\", material_type = \"protein\")\n", "ligand = Species(\"L\", material_type = \"ligand\")\n", "\n", "#Create a ChemicalComplex to model ligand-inactive_repressor bindning\n", "inactive_repressor = ChemicalComplex([repressor, ligand])\n", "\n", "#Other Promoters could also be Used\n", "P_repressible = RepressiblePromoter(\"P_repressible\", repressor = repressor, leak = True, parameters = hill_parameters)\n", "\n", "#Create a DNA assembly \"reporter\" with P_activatable for its promoter\n", "repressible_assembly = DNAassembly(name=\"reporter\", promoter=P_repressible, rbs=\"Strong\", protein = \"reporter\")\n", "\n", "M = ExpressionDilutionMixture(name=\"ExpressionDilutionMixture\", parameter_file = \"default_parameters.txt\", components=[repressible_assembly, activatable_repressor])\n", "CRN = M.compile_crn();print(CRN.pretty_print(show_rates = True, show_keys = False))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Titration of ligand and repressor\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " \n", " plt.figure(figsize = (8, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 100\n", " HM = np.zeros((N, N))\n", " for r_ind, R_c in enumerate(np.linspace(0, max_titration, N)):\n", " for l_ind, L_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {repressible_assembly.dna:1, repressor:R_c, ligand:L_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[r_ind, l_ind] = R[\"protein_reporter\"][len(timepoints)-1]\n", "\n", " plt.title(\"Deactivatable Repressor vs Ligand Endpoint Heatmap\\nAllows for Tunable Induction\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"Ligand\")\n", " plt.ylabel(\"Deactivatbale Repressor\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Example 7: Modeling AND, OR, and XOR Promoters with Combinatorial Promoter\n", "CombinatorialPromoter is a Component designed to model arbitrary combinatorial logic on a promoter. For example, a promoter with 2 transcription factor binding sites can have 4 differents states:\n", "* Nothing bound\n", "* just factor 1 bound\n", "* just factor 2 bound\n", "* factors 1 and 2 bound\n", "\n", "In general, a promoter with $N$ binding sites has up to $2^N$ possible states. Combinatorial promoter enumerates all these states and allows for the modeller to decide which are capable of transcription and which are not. For more details on this class, see the CombinatorialPromoter example ipython notebook in the BioCRNpyler examples folder.\n", "\n", "Below, we will use a Combinatorial Promoter to Produce OR, AND, and XOR logic with two species, $A$ and $B$ by passing in lists of the transcribable combinations of regulators to the tx_capable_list keyword.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 7) = {\n", " protein[GFP] (@ 0), \n", " complex[2x_B:dna[AND]] (@ 0), \n", " B (@ 0), \n", " complex[2x_A:dna[AND]] (@ 0), \n", " complex[2x_A:2x_B:dna[AND]] (@ 0), \n", " dna[AND] (@ 0), \n", " A (@ 0), \n", "}\n", "\n", "Reactions (8) = [\n", "0. dna[AND] --> dna[AND]+protein[GFP]\n", " Kf=k_forward * dna_AND\n", " k_forward=0.0028125\n", "\n", "1. 2A+dna[AND] <--> complex[2x_A:dna[AND]]\n", " Kf=k_forward * A^2 * dna_AND\n", " Kr=k_reverse * complex_A_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "2. 2B+dna[AND] <--> complex[2x_B:dna[AND]]\n", " Kf=k_forward * B^2 * dna_AND\n", " Kr=k_reverse * complex_B_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. 2A+complex[2x_B:dna[AND]] <--> complex[2x_A:2x_B:dna[AND]]\n", " Kf=k_forward * A^2 * complex_B_2x_dna_AND_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "4. 2B+complex[2x_A:dna[AND]] <--> complex[2x_A:2x_B:dna[AND]]\n", " Kf=k_forward * B^2 * complex_A_2x_dna_AND_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_AND_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "5. complex[2x_A:2x_B:dna[AND]] --> complex[2x_A:2x_B:dna[AND]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_B_2x_dna_AND_\n", " k_forward=0.28125\n", "\n", "6. complex[2x_A:dna[AND]] --> complex[2x_A:dna[AND]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_dna_AND_\n", " k_forward=0.0028125\n", "\n", "7. complex[2x_B:dna[AND]] --> complex[2x_B:dna[AND]]+protein[GFP]\n", " Kf=k_forward * complex_B_2x_dna_AND_\n", " k_forward=0.0028125\n", "\n", "]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from biocrnpyler.components import CombinatorialPromoter\n", "from biocrnpyler.mixtures import ExpressionExtract\n", "\n", "#AND Logic\n", "A = Species(\"A\") ;B = Species(\"B\") #Inducers\n", "\n", "#Create the Combinatorial Promoter\n", "Prom_AND = CombinatorialPromoter(\"combinatorial_promoter\",[A,B], tx_capable_list = [[A,B]], leak = True) #the Combination A and B can be transcribed\n", "AND_assembly = DNAassembly(\"AND\",promoter=Prom_AND,rbs=\"medium\",protein=\"GFP\")\n", "#Use an Expression Mixture to focus on Logic, not Transcription & Translation\n", "\n", "M = ExpressionExtract(name=\"expression\", parameter_file = \"default_parameters.txt\", components=[AND_assembly])\n", "CRN = M.compile_crn(); print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Lets titrate A and B\n", "try:\n", " import bioscrape\n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " \n", " plt.figure(figsize = (8, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 10\n", " HM = np.zeros((N, N))\n", " for a_ind, A_c in enumerate(np.linspace(0, max_titration, N)):\n", " for b_ind, B_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {AND_assembly.dna:1, A:A_c, B:B_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[a_ind, b_ind] = R[\"protein_GFP\"][len(timepoints)-1]\n", "\n", " plt.title(\"AND Endpoint Heatmap\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"B\")\n", " plt.ylabel(\"A\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DNAassembly: OR\n", "Species(N = 7) = {\n", " dna[OR] (@ 0), \n", " protein[GFP] (@ 0), \n", " complex[2x_B:dna[OR]] (@ 0), \n", " B (@ 0), \n", " complex[2x_A:dna[OR]] (@ 0), \n", " complex[2x_A:2x_B:dna[OR]] (@ 0), \n", " A (@ 0), \n", "}\n", "\n", "Reactions (7) = [\n", "0. 2A+dna[OR] <--> complex[2x_A:dna[OR]]\n", " Kf=k_forward * A^2 * dna_OR\n", " Kr=k_reverse * complex_A_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "1. 2B+dna[OR] <--> complex[2x_B:dna[OR]]\n", " Kf=k_forward * B^2 * dna_OR\n", " Kr=k_reverse * complex_B_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "2. 2A+complex[2x_B:dna[OR]] <--> complex[2x_A:2x_B:dna[OR]]\n", " Kf=k_forward * A^2 * complex_B_2x_dna_OR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. 2B+complex[2x_A:dna[OR]] <--> complex[2x_A:2x_B:dna[OR]]\n", " Kf=k_forward * B^2 * complex_A_2x_dna_OR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_OR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "4. complex[2x_A:dna[OR]] --> complex[2x_A:dna[OR]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_dna_OR_\n", " k_forward=0.28125\n", "\n", "5. complex[2x_B:dna[OR]] --> complex[2x_B:dna[OR]]+protein[GFP]\n", " Kf=k_forward * complex_B_2x_dna_OR_\n", " k_forward=0.28125\n", "\n", "6. complex[2x_A:2x_B:dna[OR]] --> complex[2x_A:2x_B:dna[OR]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_B_2x_dna_OR_\n", " k_forward=0.28125\n", "\n", "]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] }, { "data": { "image/png": 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WomIBAICHmAo5hYoFAACwDBULAAA8xOWmp7RqxWLjxo0aOXKk4uLiZLPZ9MYbb7g9b4zRjBkzFBcXp/bt22vQoEH69NNPz3jeFStWqE+fPrLb7erTp49WrVrlpXcAAAC+r1UTi+PHj+vyyy/XvHnzGn1+9uzZev755zVv3jxt27ZNDodDN910kyoqKpo855YtW3THHXfonnvu0d///nfdc889uv322/XRRx95620AANq4Oi+1QGQzxj9qLTabTatWrdKtt94q6WS1Ii4uTunp6Xr88cclSZWVlYqJidGzzz6rBx54oNHz3HHHHSovL9e7777r6rv55pvVuXNnLV26tEWxlJeXKzIyUs69CYoIb91lKCG2oFZ9fUlqx1IcAAGqvKJWnS/+QmVlZYqIiLD+/N/9vfjHnhiFW/z3oqKiTr16/9trsXuL3/7FKCoqktPpVFpamqvPbrcrNTVVmzdvbvK4LVu2uB0jSUOHDm32mMrKSpWXl7s1AABaqva7+1hY3QKR3yYWTqdTkhQTE+PWHxMT43quqePO9pisrCxFRka6Wnx8vAeRAwDamlrjnRaI/DaxqGez2dweG2Ma9Hl6TGZmpsrKylytuLj4hwcMAEAb5reXmzocDkknKxCxsbGu/tLS0gYVidOPO706caZj7Ha77Ha7hxEDANoqbyy2DNTFm35bsUhMTJTD4VB+fr6rr6qqSgUFBRowYECTx6WkpLgdI0nr1q1r9hgAAGCNVq1YHDt2TJ9//rnrcVFRkXbt2qUuXbooISFB6enpmjVrlnr27KmePXtq1qxZ6tChg+6++27XMWPGjNH555+vrKwsSdKUKVN0/fXX69lnn9VPf/pTvfnmm1q/fr02bdrk8/cHAGgb6mRTrZqfpv8h5wxErZpYFBYWavDgwa7HGRkZkqSxY8dq8eLFeuyxx3TixAlNmjRJR48eVf/+/bVu3TqFh4e7jjl48KDatTtVeBkwYICWLVum3/zmN/rtb3+rCy+8UMuXL1f//v1998YAAGij/OY+Fv6E+1i44z4WAAKVr+5jUfhpjDpZ/PfiWEWdki/lPhYAAKAN89urQgAACBS1XlhjYfX5fIXEAgAAD5FYnMJUCAAAsAwVCwAAPFRnbKozFl9uavH5fIWKBQAAsAwVCwAAPMQai1OoWAAAAMtQsQAAwEO1aqdai7+r11p6Nt+hYgEAACxDxQIAAA8ZL1wVYgL0qhASCwAAPMTizVOYCgEAAJahYgEAgIdqTTvVGosXbwbo3uNULAAAgGWoWAAA4KE62VRn8Xf1OgVmyYKKBQAAsAwVCwAAPMRVIadQsQAAAJYhsQAAwEP1V4VY3VoqKytLV199tcLDwxUdHa1bb71Ve/fudRszbtw42Ww2t3bNNde4jamsrNRDDz2krl27qmPHjvrJT36iQ4cOndVnQWIBAICHTi7etL61VEFBgSZPnqytW7cqPz9fNTU1SktL0/Hjx93G3XzzzSopKXG11atXuz2fnp6uVatWadmyZdq0aZOOHTumW265RbW1Ld+5hDUWAAAEuDVr1rg9XrRokaKjo7V9+3Zdf/31rn673S6Hw9HoOcrKypSbm6tXX31VN954oyQpLy9P8fHxWr9+vYYOHdqiWKhYAADgobrvdje1stVfvlpeXu7WKisrzxhPWVmZJKlLly5u/Rs2bFB0dLQuvvhi3X///SotLXU9t337dlVXVystLc3VFxcXp759+2rz5s0t/ixILAAA8GPx8fGKjIx0taysrGbHG2OUkZGhgQMHqm/fvq7+YcOG6bXXXtN7772n//mf/9G2bdt0ww03uBIVp9Op0NBQde7c2e18MTExcjqdLY6XqRAAADzknVt6n7xBVnFxsSIiIlz9dru92eMefPBBffzxx9q0aZNb/x133OH67759+yo5OVndu3fXO++8o1GjRjV5PmOMbLaWr/egYgEAgB+LiIhwa80lFg899JDeeustvf/+++rWrVuz542NjVX37t21b98+SZLD4VBVVZWOHj3qNq60tFQxMTEtjpfEAgAAD9V9tybC6tZSxhg9+OCDWrlypd577z0lJiae8ZivvvpKxcXFio2NlSQlJSUpJCRE+fn5rjElJSX65JNPNGDAgBbHwlQIAAABbvLkyXr99df15ptvKjw83LUmIjIyUu3bt9exY8c0Y8YMjR49WrGxsdq/f7+mTZumrl276rbbbnONve+++/Too48qKipKXbp00dSpU9WvXz/XVSItQWIBAICHao1NtcbiW3qfxfkWLFggSRo0aJBb/6JFizRu3DgFBQVp9+7deuWVV/T1118rNjZWgwcP1vLlyxUeHu4a//vf/17BwcG6/fbbdeLECQ0ZMkSLFy9WUFBQi2MhsQAAwEP1l4hae86W725qTPNj27dvr7Vr157xPGFhYXrhhRf0wgsvtPi1T8caCwAAYBm/TywqKiqUnp6u7t27q3379howYIC2bdvW7DEFBQVKSkpSWFiYevTooZycHB9FCwBoi+pMO6+0QOT3UU+YMEH5+fl69dVXtXv3bqWlpenGG2/Uv/71r0bHFxUVafjw4bruuuu0c+dOTZs2TQ8//LBWrFjh48gBAGh7/DqxOHHihFasWKHZs2fr+uuv10UXXaQZM2YoMTHRtVDldDk5OUpISFB2drZ69+6tCRMmaPz48ZozZ46PowcAtBVW387bG2s2fMWvo66pqVFtba3CwsLc+tu3b9/gjmL1tmzZ4nafc0kaOnSoCgsLVV1d3egxlZWVDe7FDgAAzp5fJxbh4eFKSUnRzJkzdfjwYdXW1iovL08fffSRSkpKGj3G6XQ2uENYTEyMampqdOTIkUaPycrKcrsPe3x8vOXvBQBw7qrTqUtOrWp1rf2mfiC/Tiwk6dVXX5UxRueff77sdrvmzp2ru+++u9lrak+/p3n9ZThN3es8MzNTZWVlrlZcXGzdGwAAoA3x+/tYXHjhhSooKNDx48dVXl6u2NhY3XHHHU3ertThcDTYha20tFTBwcGKiopq9Bi73X7GTV0AAGjK2d6Cu6XnDER+n1jU69ixozp27KijR49q7dq1mj17dqPjUlJS9Pbbb7v1rVu3TsnJyQoJCfFFqACANsY7u5sGZmLh91GvXbtWa9asUVFRkfLz8zV48GBdcskluvfeeyWdnMYYM2aMa/zEiRN14MABZWRkaM+ePVq4cKFyc3M1derU1noLAAC0GX5fsSgrK1NmZqYOHTqkLl26aPTo0Xr66add1YeSkhIdPHjQNT4xMVGrV6/WI488ovnz5ysuLk5z587V6NGjW+stAADOcXWyqU7W7hVi9fl8xWbOdIPxNqi8vFyRkZFy7k1QRHjrFnVCbC3f+MVb2vl/YQsAGlVeUavOF3+hsrIyRUREWH/+7/5ezN1+jdp3sva7+oljNXo4aavXYvcWv69YAADg71hjcUpgRg0AAPwSFQsAADzknW3TA/O7f2BGDQAA/BIVCwAAPFRnbKozFl8VYvH5fIWKBQAAsAwVCwAAPFTnhTUW3NIbAIA2qs60U53Fl4dafT5fCcyoAQCAX6JiAQCAh2plU63Ft+C2+ny+QsUCAABYhooFAAAeYo3FKYEZNQAA8EtULAAA8FCtrF8TUWvp2XyHxKIZdapTXSvHUOsHd15rZ6OwBQBoGRILAAA8xBqLU0gsAADwUK1pp1qLEwGrz+crgRk1AADwS1QsAADwkJFNdRYv3jTcIAsAALR1VCwAAPAQayxOCcyoAQCAX6JiAQCAh+qMTXUW33fI6vP5ChULAABgGSoWAAB4qFbtVGvxd3Wrz+crJBYAAHiIqZBTAjMdAgAAfomKBQAAHqpTO9VZ/F3d6vP5SmBGDQAA/BIVCwAAPFRrbKq1eE2E1efzFSoWAADAMn6dWNTU1Og3v/mNEhMT1b59e/Xo0UNPPfWU6urqmj2uoKBASUlJCgsLU48ePZSTk+OjiAEAbVH9VSFWt0Dk11Mhzz77rHJycrRkyRJdeumlKiws1L333qvIyEhNmTKl0WOKioo0fPhw3X///crLy9OHH36oSZMm6bzzztPo0aN9/A4AAGhb/Dqx2LJli376059qxIgRkqQLLrhAS5cuVWFhYZPH5OTkKCEhQdnZ2ZKk3r17q7CwUHPmzCGxAAB4hTHtVGfxpmGGTcisN3DgQP31r3/VP//5T0nS3//+d23atEnDhw9v8pgtW7YoLS3NrW/o0KEqLCxUdXV1o8dUVlaqvLzcrQEA0FK1snmlBSK/rlg8/vjjKisrU69evRQUFKTa2lo9/fTTuuuuu5o8xul0KiYmxq0vJiZGNTU1OnLkiGJjYxsck5WVpSeffNLy+AEAaGv8umKxfPly5eXl6fXXX9eOHTu0ZMkSzZkzR0uWLGn2OJvNPcszxjTaXy8zM1NlZWWuVlxcbM0bAAC0CXXGGws4W/td/TB+XbH4r//6L/3617/WnXfeKUnq16+fDhw4oKysLI0dO7bRYxwOh5xOp1tfaWmpgoODFRUV1egxdrtddrvd2uABAGiD/Dqx+Oabb9SunXtRJSgoqNnLTVNSUvT222+79a1bt07JyckKCQnxSpwAgLatzguLN60+n6/4ddQjR47U008/rXfeeUf79+/XqlWr9Pzzz+u2225zjcnMzNSYMWNcjydOnKgDBw4oIyNDe/bs0cKFC5Wbm6upU6e2xlsAAKBN8euKxQsvvKDf/va3mjRpkkpLSxUXF6cHHnhA//3f/+0aU1JSooMHD7oeJyYmavXq1XrkkUc0f/58xcXFae7cuVxqCgDwmjrZVGfxVRxWn89XbKZ+ZSNcysvLFRkZqcN7uykivHWLOsEKatXXl6QQm1/nnwDQpPKKWnW++AuVlZUpIiLC+vN/9/finvfvUminUEvPXXWsSq8OXuq12L2FvxgAAHiITchOIbEAAMBDLN48JTCjBgAAfomKBQAAHqqT9buRBuriTSoWAADAMlQsAADwkPHC5aaGigUAAGjrqFgAAOCh+o3DrD5nIKJiAQAALEPFAgAAD3Efi1NILAAA8BBTIacEZjoEAAD8EhULAAA8xO6mp1CxAAAAlqFiAQCAh1hjcQoVCwAAYBkqFgAAeIiKxSlULAAACHBZWVm6+uqrFR4erujoaN16663au3ev2xhjjGbMmKG4uDi1b99egwYN0qeffuo2prKyUg899JC6du2qjh076ic/+YkOHTp0VrGQWAAA4KH6ioXVraUKCgo0efJkbd26Vfn5+aqpqVFaWpqOHz/uGjN79mw9//zzmjdvnrZt2yaHw6GbbrpJFRUVrjHp6elatWqVli1bpk2bNunYsWO65ZZbVFtb2+JYmAoBAMBDrT0VsmbNGrfHixYtUnR0tLZv367rr79exhhlZ2friSee0KhRoyRJS5YsUUxMjF5//XU98MADKisrU25url599VXdeOONkqS8vDzFx8dr/fr1Gjp0aItioWIBAIAfKy8vd2uVlZVnPKasrEyS1KVLF0lSUVGRnE6n0tLSXGPsdrtSU1O1efNmSdL27dtVXV3tNiYuLk59+/Z1jWkJEgsAADxkdOomWVY189254+PjFRkZ6WpZWVnNx2KMMjIyNHDgQPXt21eS5HQ6JUkxMTFuY2NiYlzPOZ1OhYaGqnPnzk2OaQmmQgAA8GPFxcWKiIhwPbbb7c2Of/DBB/Xxxx9r06ZNDZ6z2dynV4wxDfpO15Ix30fFAgAAD3lz8WZERIRbay6xeOihh/TWW2/p/fffV7du3Vz9DodDkhpUHkpLS11VDIfDoaqqKh09erTJMS1BYgEAQIAzxujBBx/UypUr9d577ykxMdHt+cTERDkcDuXn57v6qqqqVFBQoAEDBkiSkpKSFBIS4jampKREn3zyiWtMSzAVAgCAh1r7qpDJkyfr9ddf15tvvqnw8HBXZSIyMlLt27eXzWZTenq6Zs2apZ49e6pnz56aNWuWOnTooLvvvts19r777tOjjz6qqKgodenSRVOnTlW/fv1cV4m0BIkFAAABbsGCBZKkQYMGufUvWrRI48aNkyQ99thjOnHihCZNmqSjR4+qf//+WrduncLDw13jf//73ys4OFi33367Tpw4oSFDhmjx4sUKCgpqcSw2Y4w587C2pby8XJGRkTq8t5siwlt3tihYLf9hekuIjfwTQGAqr6hV54u/UFlZmdsCSMvO/93fi+vfnqTgjs0vqjxbNccrtXHki16L3Vv4iwEAgIdaeyrEn7B4EwAAWIaKBQAAHjLGJmNxhcHq8/mK31csLrjgAtlstgZt8uTJTR5TUFCgpKQkhYWFqUePHsrJyfFhxAAAtF1+X7HYtm2b265qn3zyiW666Sb9/Oc/b3R8UVGRhg8frvvvv195eXn68MMPNWnSJJ133nkaPXq0r8IGALQh9bfhtvqcgcjvE4vzzjvP7fEzzzyjCy+8UKmpqY2Oz8nJUUJCgrKzsyVJvXv3VmFhoebMmUNiAQCAl/n9VMj3VVVVKS8vT+PHj2/yvuVbtmxx25lNkoYOHarCwkJVV1c3ekxlZWWD3eMAAGgpb97SO9AEVGLxxhtv6Ouvv3bd7KMxTqez0d3bampqdOTIkUaPycrKcts5Lj4+3sqwAQBoMwIqscjNzdWwYcMUFxfX7LjGdm9rrL9eZmamysrKXK24uNiagAEAbUL9VSFWt0Dk92ss6h04cEDr16/XypUrmx3ncDga3b0tODhYUVFRjR5jt9vPuA0tAAA4s4BJLBYtWqTo6GiNGDGi2XEpKSl6++233frWrVun5ORkhYSEeDNEAEAbxZ03TwmIqZC6ujotWrRIY8eOVXCwey6UmZmpMWPGuB5PnDhRBw4cUEZGhvbs2aOFCxcqNzdXU6dO9XXYAIA2gqmQUwIisVi/fr0OHjyo8ePHN3iupKREBw8edD1OTEzU6tWrtWHDBl1xxRWaOXOm5s6dy6WmAAD4QEBMhaSlpampTVgXL17coC81NVU7duzwclQAAJxkvDAVQsUCAAC0eQFRsQAAwJ8ZSU0U1j06ZyCiYgEAACxDxQIAAA/VySYbm5BJomIBAAAsRMUCAAAPeeO+E4F6VQiJBQAAHqozNtm486YkpkIAAICFqFgAAOAhY7xwuWmAXm9KxQIAAFiGigUAAB5i8eYpVCwAAIBlqFgAAOAhKhanULEAAACWoWLRjGpTp+pWXpXbztb6uV+d6lo7BElSO/JgAH6K+1icQmIBAICHuNz0FL4CAgAAy1CxAADAQycrFlYv3rT0dD5DxQIAAFiGigUAAB7ictNTqFgAAADLULEAAMBD5rtm9TkDERULAABgGSoWAAB4iDUWp5BYAADgKeZCXJgKAQAAlqFiAQCAp7wwFaIAnQqhYgEAACxDxQIAAA+xCdkpVCwAAIBlqFgAAOAhLjc9xe8rFv/617/0y1/+UlFRUerQoYOuuOIKbd++vdljCgoKlJSUpLCwMPXo0UM5OTk+ihYAgLbNrysWR48e1bXXXqvBgwfr3XffVXR0tP7f//t/+tGPftTkMUVFRRo+fLjuv/9+5eXl6cMPP9SkSZN03nnnafTo0b4LHgDQdhib9VdxBGjFwq8Ti2effVbx8fFatGiRq++CCy5o9picnBwlJCQoOztbktS7d28VFhZqzpw5JBYAAK9g8eYpfj0V8tZbbyk5OVk///nPFR0drSuvvFIvv/xys8ds2bJFaWlpbn1Dhw5VYWGhqqurGz2msrJS5eXlbg0AAJw9v04svvjiCy1YsEA9e/bU2rVrNXHiRD388MN65ZVXmjzG6XQqJibGrS8mJkY1NTU6cuRIo8dkZWUpMjLS1eLj4y19HwCAc5zxUgtAfp1Y1NXV6aqrrtKsWbN05ZVX6oEHHtD999+vBQsWNHuczeY+L2W+qyed3l8vMzNTZWVlrlZcXGzNGwAAoI3x6zUWsbGx6tOnj1tf7969tWLFiiaPcTgccjqdbn2lpaUKDg5WVFRUo8fY7XbZ7XbPAwYAtElcbnqKX1csrr32Wu3du9et75///Ke6d+/e5DEpKSnKz89361u3bp2Sk5MVEhLilTgBAMBJfp1YPPLII9q6datmzZqlzz//XK+//rpeeuklTZ482TUmMzNTY8aMcT2eOHGiDhw4oIyMDO3Zs0cLFy5Ubm6upk6d2hpvAQDQVrC+QpKfJxZXX321Vq1apaVLl6pv376aOXOmsrOz9Ytf/MI1pqSkRAcPHnQ9TkxM1OrVq7VhwwZdccUVmjlzpubOnculpgAA+IBfr7GQpFtuuUW33HJLk88vXry4QV9qaqp27NjhxagAADiFNRan+H1iAQCA3/PG9EWATof49VQIAAAILFQsAADwmO27ZvU5Aw8VCwAAYBkqFgAAeIo1Fi5ULAAAgGWoWAAA4CkqFi5ULAAAgGWoWAAA4CljO9msPmcAIrEAAMBDxpxsVp8zEDEVAgAALEPFAgAAT7F404WKBQAAsAwVCwAAPMXiTRcSi2bUqE7VrRxDiOpaOQJJCmrtAAAAAYKpEAAAPGQz3mlnY+PGjRo5cqTi4uJks9n0xhtvuD0/btw42Ww2t3bNNde4jamsrNRDDz2krl27qmPHjvrJT36iQ4cOnVUcJBYAAJwDjh8/rssvv1zz5s1rcszNN9+skpISV1u9erXb8+np6Vq1apWWLVumTZs26dixY7rllltUW1vb4jiYCgEAwFN+cFXIsGHDNGzYsGbH2O12ORyORp8rKytTbm6uXn31Vd14442SpLy8PMXHx2v9+vUaOnRoi+KgYgEAgKfqF29a3SSVl5e7tcrKyh8c5oYNGxQdHa2LL75Y999/v0pLS13Pbd++XdXV1UpLS3P1xcXFqW/fvtq8eXOLX4PEAgAAPxYfH6/IyEhXy8rK+kHnGTZsmF577TW99957+p//+R9t27ZNN9xwgytRcTqdCg0NVefOnd2Oi4mJkdPpbPHrMBUCAICnvDgVUlxcrIiICFe33W7/Qae74447XP/dt29fJScnq3v37nrnnXc0atSopsMwRjZbyy99pWIBAIAfi4iIcGs/NLE4XWxsrLp37659+/ZJkhwOh6qqqnT06FG3caWlpYqJiWnxeUksAADwlPFS86KvvvpKxcXFio2NlSQlJSUpJCRE+fn5rjElJSX65JNPNGDAgBafl6kQAADOAceOHdPnn3/uelxUVKRdu3apS5cu6tKli2bMmKHRo0crNjZW+/fv17Rp09S1a1fddtttkqTIyEjdd999evTRRxUVFaUuXbpo6tSp6tevn+sqkZYgsQAAwFN+cLlpYWGhBg8e7HqckZEhSRo7dqwWLFig3bt365VXXtHXX3+t2NhYDR48WMuXL1d4eLjrmN///vcKDg7W7bffrhMnTmjIkCFavHixgoJafgdmEgsAAM4BgwYNkjFNZyNr16494znCwsL0wgsv6IUXXvjBcZBYAADgKTYhc2HxJgAAsAwVCwAAPPRDNg1ryTkDEYkFAACe8oPFm/6CqRAAAGAZSxOLXbt2WXk6zZgxo8He8U3tylavoKBASUlJCgsLU48ePZSTk2NpTAAAoGkeJxZlZWV68cUXddVVVykpKcmKmNxceumlbnvH7969u8mxRUVFGj58uK677jrt3LlT06ZN08MPP6wVK1ZYHhcAAGjoB6+xeO+997Rw4UKtXLlS3bt31+jRo5Wbm2tlbJKk4ODgM1Yp6uXk5CghIUHZ2dmSpN69e6uwsFBz5szR6NGjLY8NAABJsskLizetPZ3PnFVicejQIS1evFgLFy7U8ePHdfvtt6u6ulorVqxQnz59vBLgvn37FBcXJ7vdrv79+2vWrFnq0aNHo2O3bNnito+8JA0dOlS5ubmqrq5WSEhIo8dVVla67W9fXl5u3RsAAKANafFUyPDhw9WnTx999tlneuGFF3T48GGP7szVEv3799crr7yitWvX6uWXX5bT6dSAAQP01VdfNTre6XQ22IEtJiZGNTU1OnLkSJOvk5WV5bbXfXx8vKXvAwBwjqu/QZbVLQC1OLFYt26dJkyYoCeffFIjRow4q/uG/1DDhg3T6NGjXRugvPPOO5KkJUuWNHnM6XvG19/etLm95DMzM1VWVuZqxcXFFkQPAEDb0+LE4oMPPlBFRYWSk5PVv39/zZs3T19++aU3Y2ugY8eO6tevn2vv+NM5HA45nU63vtLSUgUHBysqKqrJ89rt9gb73QMA0GIBuG26t7Q4sUhJSdHLL7+skpISPfDAA1q2bJnOP/981dXVKT8/XxUVFd6MU9LJtRB79uxx7R3fWIzf30deOllpSU5ObnJ9BQAAHiOxcDnry007dOig8ePHa9OmTdq9e7ceffRRPfPMM4qOjtZPfvITS4ObOnWqCgoKVFRUpI8++kg/+9nPVF5errFjx0o6OYUxZswY1/iJEyfqwIEDysjI0J49e7Rw4ULl5uZq6tSplsYFAAAa59F9LC655BLNnj1bhw4d0tKlS62KyeXQoUO66667dMkll2jUqFEKDQ3V1q1b1b17d0lSSUmJDh486BqfmJio1atXa8OGDbriiis0c+ZMzZ07l0tNAQBeVb9XiNUtENlMc5u3t1Hl5eWKjIzU//uHQ+HhrXvX8w621t/OxW7zj2mkdtyBHsBZKq+oVeeLv1BZWZlX1s/V/7244Omn1S4szNJz1337rfY/8YTXYveW1v+rBQBAoGMTMhe+AgIAAMtQsQAAwFNULFyoWAAAAMtQsQAAwEPeuIojUK8KIbEAAMBT3tjb41zfKwQAAOBMqFgAAOApFm+6ULEAAACWoWIBAICHWLx5ChULAABgGSoWAAB4ijUWLlQsAACAZahYAADgKW9scx6gFQsSi2Z8a+oU0so/2BDVtW4AkoL9IAZJamejwAbATzEV4sJvagAAYBkqFgAAeIqKhQsVCwAAYBkqFgAAeIgbZJ1CxQIAAFiGxAIAAFiGxAIAAFiGNRYAAHiKq0JcSCwAAPAQizdPYSoEAABYhooFAABWCNAKg9WoWAAAAMtQsQAAwFMs3nShYgEAACxDxQIAAA9xVcgpVCwAAIBlAiqxyMrKks1mU3p6erPjCgoKlJSUpLCwMPXo0UM5OTm+CRAA0DYZL7UAFDCJxbZt2/TSSy/psssua3ZcUVGRhg8fruuuu047d+7UtGnT9PDDD2vFihU+ihQA0NbUT4VY3QJRQCQWx44d0y9+8Qu9/PLL6ty5c7Njc3JylJCQoOzsbPXu3VsTJkzQ+PHjNWfOHB9FCwBA2xUQicXkyZM1YsQI3XjjjWccu2XLFqWlpbn1DR06VIWFhaqurm70mMrKSpWXl7s1AABajKkQF79PLJYtW6YdO3YoKyurReOdTqdiYmLc+mJiYlRTU6MjR440ekxWVpYiIyNdLT4+3uO4AQBoi/w6sSguLtaUKVOUl5ensLCwFh9ns9ncHhtjGu2vl5mZqbKyMlcrLi7+4UEDANoeKhYufn0fi+3bt6u0tFRJSUmuvtraWm3cuFHz5s1TZWWlgoKC3I5xOBxyOp1ufaWlpQoODlZUVFSjr2O322W3261/AwAAtDF+nVgMGTJEu3fvduu799571atXLz3++OMNkgpJSklJ0dtvv+3Wt27dOiUnJyskJMSr8QIA2iZukHWKXycW4eHh6tu3r1tfx44dFRUV5erPzMzUv/71L73yyiuSpIkTJ2revHnKyMjQ/fffry1btig3N1dLly71efwAALQ1fr3GoiVKSkp08OBB1+PExEStXr1aGzZs0BVXXKGZM2dq7ty5Gj16dCtGCQA4p7HGwsWvKxaN2bBhg9vjxYsXNxiTmpqqHTt2+CYgAADY3dQl4CsWAADAfwRcxQIAAH/D4s1TqFgAAADLULEAAMBTrLFwoWIBAAAsQ8UCAAAPscbiFCoWAADAMlQsAADwFGssXEgsAADwFImFC1MhAADAMlQsAADwkO27ZvU5AxEVCwAAYBkqFgAAeIo1Fi5ULAAAgGWoWDTj37V2Ha9t3dwrKKiqVV9fkkJs/pF/BvlJHtzOT+IA4D/84QZZGzdu1HPPPaft27erpKREq1at0q233up63hijJ598Ui+99JKOHj2q/v37a/78+br00ktdYyorKzV16lQtXbpUJ06c0JAhQ/Tiiy+qW7duLY6D35AAAJwDjh8/rssvv1zz5s1r9PnZs2fr+eef17x587Rt2zY5HA7ddNNNqqiocI1JT0/XqlWrtGzZMm3atEnHjh3TLbfcotra2hbHQcUCAABPeXGNRXl5uVu33W6X3W5vMHzYsGEaNmxY46cyRtnZ2XriiSc0atQoSdKSJUsUExOj119/XQ888IDKysqUm5urV199VTfeeKMkKS8vT/Hx8Vq/fr2GDh3aorCpWAAAYAVjcftOfHy8IiMjXS0rK+usQysqKpLT6VRaWpqrz263KzU1VZs3b5Ykbd++XdXV1W5j4uLi1LdvX9eYlqBiAQCAHysuLlZERITrcWPVijNxOp2SpJiYGLf+mJgYHThwwDUmNDRUnTt3bjCm/viWILEAAMBD3ly8GRER4ZZYeHROm/ttt4wxDfpO15Ix38dUCAAA5ziHwyFJDSoPpaWlriqGw+FQVVWVjh492uSYliCxAADAU1avr7B4MWhiYqIcDofy8/NdfVVVVSooKNCAAQMkSUlJSQoJCXEbU1JSok8++cQ1piWYCgEA4Bxw7Ngxff75567HRUVF2rVrl7p06aKEhASlp6dr1qxZ6tmzp3r27KlZs2apQ4cOuvvuuyVJkZGRuu+++/Too48qKipKXbp00dSpU9WvXz/XVSItQWIBAICH/OEGWYWFhRo8eLDrcUZGhiRp7NixWrx4sR577DGdOHFCkyZNct0ga926dQoPD3cd8/vf/17BwcG6/fbbXTfIWrx4sYKCgs4ibmMC9G7k3lNeXq7IyEi990m8OoW37mzR+X5w583IdiGtHYIkyW7zjzi48yYQOMoratX54i9UVlZm2QJIt/N/9/ei34RZCgoNs/TctVXfavefpnktdm+hYgEAgKfYhMyFr14AAMAyVCwAAPCQP6yx8BckFgAAeIqpEBemQgAAgGWoWAAA4CkqFi5+XbFYsGCBLrvsMtd90lNSUvTuu+82e0xBQYGSkpIUFhamHj16KCcnx0fRAgAAv04sunXrpmeeeUaFhYUqLCzUDTfcoJ/+9Kf69NNPGx1fVFSk4cOH67rrrtPOnTs1bdo0Pfzww1qxYoWPIwcAtCX1izetboHIr6dCRo4c6fb46aef1oIFC7R161ZdeumlDcbn5OQoISFB2dnZkqTevXursLBQc+bM0ejRo30RMgAAbZpfVyy+r7a2VsuWLdPx48eVkpLS6JgtW7YoLS3NrW/o0KEqLCxUdXV1k+eurKxUeXm5WwMAoMX8fBMyX/L7xGL37t3q1KmT7Ha7Jk6cqFWrVqlPnz6NjnU6nQ22do2JiVFNTY2OHDnS5GtkZWUpMjLS1eLj4y19DwAAtBV+n1hccskl2rVrl7Zu3apf/epXGjt2rD777LMmx9tsNrfH9VuhnN7/fZmZmSorK3O14uJia4IHALQJNmO80gKRX6+xkKTQ0FBddNFFkqTk5GRt27ZNf/jDH/THP/6xwViHwyGn0+nWV1paquDgYEVFRTX5Gna7XXa73drAAQBtB5ebuvh9xeJ0xhhVVlY2+lxKSory8/Pd+tatW6fk5GSFhPjHzpgAAJzL/DqxmDZtmj744APt379fu3fv1hNPPKENGzboF7/4haSTUxhjxoxxjZ84caIOHDigjIwM7dmzRwsXLlRubq6mTp3aWm8BANAGcLnpKX49FfLvf/9b99xzj0pKShQZGanLLrtMa9as0U033SRJKikp0cGDB13jExMTtXr1aj3yyCOaP3++4uLiNHfuXC41BQDAR/w6scjNzW32+cWLFzfoS01N1Y4dO7wUEQAAjWCNhYtfT4UAAIDA4tcVCwAAAoE31kQE6hoLKhYAAMAyVCwAAPAUayxcSCwAAPAQUyGnMBUCAAAsQ8UCAABPMRXiQsUCAABYhooFAAAWCNQ1EVajYgEAACxDxQIAAE8Zc7JZfc4ARMUCAABYhooFAAAe4j4Wp5BYAADgKS43dSGxaMY7ZZfLXhvSqjFcH/6PVn19SeoX+nVrhyBJivSTibtgBbV2CJKkIJuffCB+oh0zu4BfILEAAMBDtrqTzepzBiJSfAAAYBkqFgAAeIo1Fi5ULAAAgGWoWAAA4CEuNz2FigUAALAMFQsAADzFLb1dSCwAAPAQUyGnMBUCAAAsQ8UCAABPcbmpCxULAABgGSoWAAB4iDUWp1CxAAAAlqFiAQCAp7jc1IWKBQAAsAwVCwAAPMQai1P8umKRlZWlq6++WuHh4YqOjtatt96qvXv3nvG4goICJSUlKSwsTD169FBOTo4PogUAtFnGSy0A+XViUVBQoMmTJ2vr1q3Kz89XTU2N0tLSdPz48SaPKSoq0vDhw3Xddddp586dmjZtmh5++GGtWLHCh5EDANA2+fVUyJo1a9weL1q0SNHR0dq+fbuuv/76Ro/JyclRQkKCsrOzJUm9e/dWYWGh5syZo9GjR3s7ZABAG8RUyCl+XbE4XVlZmSSpS5cuTY7ZsmWL0tLS3PqGDh2qwsJCVVdXN3pMZWWlysvL3RoAADh7AZNYGGOUkZGhgQMHqm/fvk2OczqdiomJceuLiYlRTU2Njhw50ugxWVlZioyMdLX4+HhLYwcAnOPqjHdaAAqYxOLBBx/Uxx9/rKVLl55xrM1mc3tsvrsW+PT+epmZmSorK3O14uJizwMGAKAN8us1FvUeeughvfXWW9q4caO6devW7FiHwyGn0+nWV1paquDgYEVFRTV6jN1ul91utyxeAEAbwyZkLn5dsTDG6MEHH9TKlSv13nvvKTEx8YzHpKSkKD8/361v3bp1Sk5OVkhIiLdCBQAA8vPEYvLkycrLy9Prr7+u8PBwOZ1OOZ1OnThxwjUmMzNTY8aMcT2eOHGiDhw4oIyMDO3Zs0cLFy5Ubm6upk6d2hpvAQDQBth06soQy1prv6kfyK8TiwULFqisrEyDBg1SbGysqy1fvtw1pqSkRAcPHnQ9TkxM1OrVq7VhwwZdccUVmjlzpubOnculpgAA76nfK8TqFoD8eo2FacGHunjx4gZ9qamp2rFjhxciAgAAzfHrxAIAgEDADbJO8eupEAAAEFioWAAA4CkuN3WhYgEAACxDxQIAAA/ZjJHN4qs4rD6fr1CxAAAAlqFiAQCAp+q+a1afMwCRWAAA4CGmQk5hKgQAAFiGigUAAJ7iclMXKhYAAMAyVCwAAPCUNzYNY40FAABoDTNmzJDNZnNrDofD9bwxRjNmzFBcXJzat2+vQYMG6dNPP/VKLCQWAAB4qH4TMqvb2bj00ktVUlLiart373Y9N3v2bD3//POaN2+etm3bJofDoZtuukkVFRUWfxJMhTRr1doBahcW1qoxFA5IaNXXl6SMhHWtHYIkqV/o160dgiSpg80/Li4P8ZPvBe38Jg7/+Ln4gyCbf/xM/EFdoK6A/AGCg4PdqhT1jDHKzs7WE088oVGjRkmSlixZopiYGL3++ut64IEHLI2Df30AAHiqfo2F1U1SeXm5W6usrGw0hH379ikuLk6JiYm688479cUXX0iSioqK5HQ6lZaW5hprt9uVmpqqzZs3W/5RkFgAAODH4uPjFRkZ6WpZWVkNxvTv31+vvPKK1q5dq5dffllOp1MDBgzQV199JafTKUmKiYlxOyYmJsb1nJWYCgEAwEO2upPN6nNKUnFxsSIiIlz9dru9wdhhw4a5/rtfv35KSUnRhRdeqCVLluiaa645eT6bze0YY0yDPitQsQAAwFNenAqJiIhwa40lFqfr2LGj+vXrp3379rnWXZxenSgtLW1QxbACiQUAAOeYyspK7dmzR7GxsUpMTJTD4VB+fr7r+aqqKhUUFGjAgAGWvzZTIQAAeKqVb+k9depUjRw5UgkJCSotLdXvfvc7lZeXa+zYsbLZbEpPT9esWbPUs2dP9ezZU7NmzVKHDh109913Wxw0iQUAAAHv0KFDuuuuu3TkyBGdd955uuaaa7R161Z1795dkvTYY4/pxIkTmjRpko4ePar+/ftr3bp1Cg8PtzwWEgsAADzU2tumL1u2rPlz2WyaMWOGZsyY4WFUZ8YaCwAAYBkqFgAAeIpNyFyoWAAAAMtQsQAAwFNGsny7msAsWJBYAADgqdZevOlPmAoBAACWoWIBAICnjLyweNPa0/kKFQsAAGAZv08sNm7cqJEjRyouLk42m01vvPHGGY8pKChQUlKSwsLC1KNHD+Xk5Hg/UABA2+XFTcgCjd8nFsePH9fll1+uefPmtWh8UVGRhg8fruuuu047d+7UtGnT9PDDD2vFihVejhQAAPj9Gothw4a57TN/Jjk5OUpISFB2drYkqXfv3iosLNScOXM0evRoL0UJAGjT6iTZvHDOAOT3FYuztWXLFqWlpbn1DR06VIWFhaqurm70mMrKSpWXl7s1AABw9s65xMLpdComJsatLyYmRjU1NTpy5Eijx2RlZSkyMtLV4uPjfREqAOAcUX8fC6tbIDrnEgvp5C5u32e+++Gc3l8vMzNTZWVlrlZcXOz1GAEA5xAWb7r4/RqLs+VwOOR0Ot36SktLFRwcrKioqEaPsdvtstvtvggPAIBz2jmXWKSkpOjtt99261u3bp2Sk5MVEhLSSlEBAM5p7G7q4vdTIceOHdOuXbu0a9cuSScvJ921a5cOHjwo6eQ0xpgxY1zjJ06cqAMHDigjI0N79uzRwoULlZubq6lTp7ZG+AAAtCl+X7EoLCzU4MGDXY8zMjIkSWPHjtXixYtVUlLiSjIkKTExUatXr9Yjjzyi+fPnKy4uTnPnzuVSUwCA91CxcPH7xGLQoEGuxZeNWbx4cYO+1NRU7dixw4tRAQCAxvh9YgEAgN/jBlkufr/GAgAABA4qFgAAeMgbN7QK1BtkkVgAAOApFm+6MBUCAAAsQ8UCAABP1RnJZnGFoY6KBQAAaOOoWAAA4CnWWLhQsQAAAJahYgEAgMe8sc05FQsAANDGUbEAAMBTrLFwIbEAAMBTdUaWT11wuSkAAGjrqFg0I+GpjxRsC2nVGL54ekCrvr4kbezcq7VDkCR1+dGO1g5BkuQIqmztECRJYX7yvSDEX+Kw+Ucc/qAuQEvo3lBtfLRFqKk72aw+ZwDi/0QAAGAZKhYAAHiKxZsuVCwAAIBlqFgAAOAprgpxoWIBAAAsQ8UCAABPscbChcQCAABPGXkhsbD2dL7CVAgAALAMFQsAADzFVIgLFQsAAGAZKhYAAHiqrk6SxbfgruOW3gAAoI2jYgEAgKdYY+FCxQIAAFiGigUAAJ6iYuFCYgEAgKfYK8QlIKZCXnzxRSUmJiosLExJSUn64IMPmh1fUFCgpKQkhYWFqUePHsrJyfFRpAAAtG1+n1gsX75c6enpeuKJJ7Rz505dd911GjZsmA4ePNjo+KKiIg0fPlzXXXeddu7cqWnTpunhhx/WihUrfBw5AKCtMKbOKy0Q+X1i8fzzz+u+++7ThAkT1Lt3b2VnZys+Pl4LFixodHxOTo4SEhKUnZ2t3r17a8KECRo/frzmzJnj48gBAGh7/DqxqKqq0vbt25WWlubWn5aWps2bNzd6zJYtWxqMHzp0qAoLC1VdXd3oMZWVlSovL3drAAC0mDEn10RY2QJ08aZfJxZHjhxRbW2tYmJi3PpjYmLkdDobPcbpdDY6vqamRkeOHGn0mKysLEVGRrpafHy8NW8AAIA2xq8Ti3o2m83tsTGmQd+ZxjfWXy8zM1NlZWWuVlxc7GHEAIA2pf5yU6tbAPLry027du2qoKCgBtWJ0tLSBlWJeg6Ho9HxwcHBioqKavQYu90uu91uTdAAALRhfl2xCA0NVVJSkvLz89368/PzNWDAgEaPSUlJaTB+3bp1Sk5OVkhIiNdiBQC0YXV13mkByK8TC0nKyMjQn/70Jy1cuFB79uzRI488ooMHD2rixImSTk5jjBkzxjV+4sSJOnDggDIyMrRnzx4tXLhQubm5mjp1amu9BQDAuY6pEBe/ngqRpDvuuENfffWVnnrqKZWUlKhv375avXq1unfvLkkqKSlxu6dFYmKiVq9erUceeUTz589XXFyc5s6dq9GjR7fWWwAAoM3w+8RCkiZNmqRJkyY1+tzixYsb9KWmpmrHjh1ejgoAgJNMXZ2MzdqpC26QBQAA2ryAqFgAAODXjBc2IQvQNRZULAAAgGWoWAAA4Kk6I9moWEhULAAAgIWoWAAA4CljJFl8FQcVCwAA0NZRsQAAwEOmzshYvMbCBGjFgsQCAABPmTpZPxXCDbIAAEAbR2IBAICHTJ3xSjtbL774ohITExUWFqakpCR98MEHXni3zSOxAADgHLB8+XKlp6friSee0M6dO3Xddddp2LBhbht1+gKJBQAAnjJ13mln4fnnn9d9992nCRMmqHfv3srOzlZ8fLwWLFjgpTfdOBZvNqJ+JW6Nqi2/9fvZqvv229YNQFLlserWDkGSdCzIPxYyVfhJHNW21o7gJH/5JRLiJ5+HP+Ab4ykVx07+/+rtKyy88feiRid/95aXl7v12+122e12t76qqipt375dv/71r93609LStHnzZmsDOwN/+Z3gVyoqKiRJm7S6lSOR9NSbrR2B/uep1o7gpP9p7QAABKyKigpFRkZaft7Q0FA5HA5tcnrn70WnTp0UHx/v1jd9+nTNmDHDre/IkSOqra1VTEyMW39MTIycTqdXYmsKiUUj4uLiVFxcrPDwcNlsP+xrUHl5ueLj41VcXKyIiAiLIySOQI7DH2IgDuIIhDisiMEYo4qKCsXFxVkc3UlhYWEqKipSVVWVV85vjGnwd+j0asX3nT62seO9jcSiEe3atVO3bt0sOVdERESr/nIgDv+Nwx9iIA7iCIQ4PI3BG5WK7wsLC1NYWJhXX+NMunbtqqCgoAbVidLS0gZVDG9jKg4AgAAXGhqqpKQk5efnu/Xn5+drwIABPo2FigUAAOeAjIwM3XPPPUpOTlZKSopeeuklHTx4UBMnTvRpHCQWXmK32zV9+vRm58KIo23G4Q8xEAdxBEIc/hBDILnjjjv01Vdf6amnnlJJSYn69u2r1atXq3v37j6Nw2YCdZcTAADgd1hjAQAALENiAQAALENiAQAALENiAQAALENi4YGz3Z62oKBASUlJCgsLU48ePZSTk+NxDBs3btTIkSMVFxcnm82mN95444zHWB1HVlaWrr76aoWHhys6Olq33nqr9u7d6/M4FixYoMsuu8x1M52UlBS9++67Po3hdFlZWbLZbEpPT/dpHDNmzJDNZnNrDofDpzHU+9e//qVf/vKXioqKUocOHXTFFVdo+/btPo3lggsuaPB52Gw2TZ482WcxSFJNTY1+85vfKDExUe3bt1ePHj301FNPqa6u+f1nrI6loqJC6enp6t69u9q3b68BAwZo27ZtXo3hTL+rjDGaMWOG4uLi1L59ew0aNEiffvrpGc+7YsUK9enTR3a7XX369NGqVavOKi54gcEPsmzZMhMSEmJefvll89lnn5kpU6aYjh07mgMHDjQ6/osvvjAdOnQwU6ZMMZ999pl5+eWXTUhIiPm///s/j+JYvXq1eeKJJ8yKFSuMJLNq1apmx3sjjqFDh5pFixaZTz75xOzatcuMGDHCJCQkmGPHjvk0jrfeesu88847Zu/evWbv3r1m2rRpJiQkxHzyySc+i+H7/va3v5kLLrjAXHbZZWbKlClNjvNGHNOnTzeXXnqpKSkpcbXS0lKfxmCMMf/5z39M9+7dzbhx48xHH31kioqKzPr1683nn3/u01hKS0vdPov8/Hwjybz//vs+i8EYY373u9+ZqKgo85e//MUUFRWZP//5z6ZTp04mOzu7yWO8Ecvtt99u+vTpYwoKCsy+ffvM9OnTTUREhDl06JDXYjjT76pnnnnGhIeHmxUrVpjdu3ebO+64w8TGxpry8vImz7l582YTFBRkZs2aZfbs2WNmzZplgoODzdatW1scF6xHYvED/fjHPzYTJ0506+vVq5f59a9/3ej4xx57zPTq1cut74EHHjDXXHONZTG1JLHwRRylpaVGkikoKGjVOIwxpnPnzuZPf/qTz2OoqKgwPXv2NPn5+SY1NbXZxMIbcUyfPt1cfvnlLR7vrc/i8ccfNwMHDjyrY3zxb2PKlCnmwgsvNHV1dT6NYcSIEWb8+PFufaNGjTK//OUvmzzG6li++eYbExQUZP7yl7+49V9++eXmiSee8EkMp/+uqqurMw6HwzzzzDOuvm+//dZERkaanJycJs9z++23m5tvvtmtb+jQoebOO+/8QXHBGkyF/AD129OmpaW59Te3Pe2WLVsajB86dKgKCwtVXe27bcl9EUdZWZkkqUuXLq0WR21trZYtW6bjx48rJSXF5zFMnjxZI0aM0I033njGsd6KY9++fYqLi1NiYqLuvPNOffHFFz6P4a233lJycrJ+/vOfKzo6WldeeaVefvnlZo/x9r+Nqqoq5eXlafz48U1uzuStGAYOHKi//vWv+uc//ylJ+vvf/65NmzZp+PDhTR5jdSw1NTWqra1tsLdF+/bttWnTJp/EcLqioiI5nU6317Db7UpNTW12y++m4vL1NuFwR2LxA/yQ7WmdTmej42tqanTkyBGvxerrOIwxysjI0MCBA9W3b1+fx7F792516tRJdrtdEydO1KpVq9SnTx+fxrBs2TLt2LFDWVlZLRrvjTj69++vV155RWvXrtXLL78sp9OpAQMG6KuvvvJZDJL0xRdfaMGCBerZs6fWrl2riRMn6uGHH9Yrr7zS5DHe/jf6xhtv6Ouvv9a4ceN8HsPjjz+uu+66S7169VJISIiuvPJKpaen66677vJZLOHh4UpJSdHMmTN1+PBh1dbWKi8vTx999JFKSkp8EkNj568/5+mv0dyW303F5ettwuGOW3p74Gy3p21sfGP93ubNOB588EF9/PHHTX7z8XYcl1xyiXbt2qWvv/5aK1as0NixY1VQUNBkcmF1DMXFxZoyZYrWrVt3VrsdWh3HsGHDXP/dr18/paSk6MILL9SSJUuUkZHhkxgkqa6uTsnJyZo1a5Yk6corr9Snn36qBQsWaMyYMU0e581/o7m5uRo2bNgZt9H2RgzLly9XXl6eXn/9dV166aXatWuX0tPTFRcXp7Fjx/oslldffVXjx4/X+eefr6CgIF111VW6++67tWPHDp/F0NLXONP5/WGbcLgjsfgBfsj2tA6Ho9HxwcHBioqK8lqsvozjoYce0ltvvaWNGzeecdt5b8URGhqqiy66SJKUnJysbdu26Q9/+IP++Mc/+iSG7du3q7S0VElJSa6+2tpabdy4UfPmzVNlZaWCgoK8HsfpOnbsqH79+mnfvn2NPu+tGGJjYxskdb1799aKFSuaPMabn8eBAwe0fv16rVy5stlx3orhv/7rv/TrX/9ad955p6STSd+BAweUlZXVZGLhjVguvPBCFRQU6Pjx4yovL1dsbKzuuOMOJSYm+iyG088vnaxAxMbGur1Gc1t+NxWXr7cJhzumQn6AH7I9bUpKSoPx69atU3JyskJCQrwWqy/iMMbowQcf1MqVK/Xee+81+cvJ23E0FVtlZaXPYhgyZIh2796tXbt2uVpycrJ+8YtfaNeuXQ2SCm/FcbrKykrt2bPH7Ze2L2K49tprG1x6/M9//rPZTZG8+XksWrRI0dHRGjFiRLPjvBXDN998o3bt3H/tBgUFNXu5qTc/j44dOyo2NlZHjx7V2rVr9dOf/tTnMUhSYmKiHA6H22tUVVWpoKCg2S2/m4rL19uE4zS+Xy96bqi/3DQ3N9d89tlnJj093XTs2NHs37/fGGPMr3/9a3PPPfe4xtdfrvXII4+Yzz77zOTm5lpy+VpFRYXZuXOn2blzp5Fknn/+ebNz507XZa++iONXv/qViYyMNBs2bHC7pO+bb75xjfFFHJmZmWbjxo2mqKjIfPzxx2batGmmXbt2Zt26dT6LoTGnXxXiizgeffRRs2HDBvPFF1+YrVu3mltuucWEh4f7/N/n3/72NxMcHGyefvpps2/fPvPaa6+ZDh06mLy8PNcYX8VSW1trEhISzOOPP97gOV/FMHbsWHP++ee7LjdduXKl6dq1q3nsscd8GsuaNWvMu+++a7744guzbt06c/nll5sf//jHpqqqymsxnOl31TPPPGMiIyPNypUrze7du81dd93V4HLTe+65x+3Kuw8//NAEBQWZZ555xuzZs8c888wzXG7qB0gsPDB//nzTvXt3Exoaaq666iq3yyvHjh1rUlNT3cZv2LDBXHnllSY0NNRccMEFZsGCBR7H8P777xtJDdrYsWN9Fkdjry/JLFq0yDXGF3GMHz/e9fM477zzzJAhQ1xJha9iaMzpiYUv4qi/B0BISIiJi4szo0aNMp9++qlPY6j39ttvm759+xq73W569eplXnrpJbfnfRXL2rVrjSSzd+/eBs/5Koby8nIzZcoUk5CQYMLCwkyPHj3ME088YSorK30ay/Lly02PHj1MaGiocTgcZvLkyebrr7/2agxn+l1VV1dnpk+fbhwOh7Hb7eb66683u3fvdjtHamqqa3y9P//5z+aSSy4xISEhplevXmbFihVnFResx7bpAADAMqyxAAAAliGxAAAAliGxAAAAliGxAAAAliGxAAAAliGxAAAAliGxAAAAliGxAAAAliGxAAAAliGxANqYcePGyWazuVpUVJRuvvlmffzxx60dGoBzAIkF0AbdfPPNKikpUUlJif76178qODhYt9xyS2uHBeAcQGIBtEF2u10Oh0MOh0NXXHGFHn/8cRUXF+vLL79s7dAABDgSC6CNO3bsmF577TVddNFFioqKau1wAAS44NYOAIDv/eUvf1GnTp0kScePH1dsbKz+8pe/qF07vmsA8Ay/RYA2aPDgwdq1a5d27dqljz76SGlpaRo2bJgOHDjQ2qEBCHBULIA2qGPHjrroootcj5OSkhQZGamXX35Zv/vd71oxMgCBjooFANlsNrVr104nTpxo7VAABDgqFkAbVFlZKafTKUk6evSo5s2bp2PHjmnkyJGtHBmAQEdiAbRBa9asUWxsrCQpPDxcvXr10p///GcNGjSodQMDEPBsxhjT2kEAAIBzA2ssAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZUgsAACAZf4/dUjNzC2urMkAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create OR Logic\n", "Prom_OR = CombinatorialPromoter(\"combinatorial_promoter\",[A,B], leak=False,\n", " tx_capable_list = [[A,B], [A], [B]]) #the Combinations A and B or just A or just B be transcribed\n", "\n", "ORassembly = DNAassembly(\"OR\",promoter=Prom_OR,rbs=\"medium\",protein=\"GFP\")\n", "print(ORassembly)\n", "#Use an Expression Mixture to focus on Logic, not Transcription & Translation\n", "M = ExpressionExtract(name=\"expression\", parameter_file = \"default_parameters.txt\", components=[ORassembly])\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Lets titrate A and B\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " plt.figure(figsize = (6, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 10\n", " HM = np.zeros((N, N))\n", " for a_ind, A_c in enumerate(np.linspace(0, max_titration, N)):\n", " for b_ind, B_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {ORassembly.dna:1, A:A_c, B:B_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[a_ind, b_ind] = R[\"protein_GFP\"][len(timepoints)-1]\n", " plt.title(\"OR Endpoint Heatmap\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"B\")\n", " plt.ylabel(\"A\")\n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/murray/Library/CloudStorage/Dropbox/macosx/src/biocrnpyler/biocrnpyler/core/parameter.py:678: UserWarning: parameter file contains no unit column! Please add a column named ['unit', 'units'].\n", " warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Species(N = 7) = {\n", " dna[XOR] (@ 0), \n", " protein[GFP] (@ 0), \n", " complex[2x_B:dna[XOR]] (@ 0), \n", " B (@ 0), \n", " complex[2x_A:dna[XOR]] (@ 0), \n", " complex[2x_A:2x_B:dna[XOR]] (@ 0), \n", " A (@ 0), \n", "}\n", "\n", "Reactions (6) = [\n", "0. 2A+dna[XOR] <--> complex[2x_A:dna[XOR]]\n", " Kf=k_forward * A^2 * dna_XOR\n", " Kr=k_reverse * complex_A_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "1. 2B+dna[XOR] <--> complex[2x_B:dna[XOR]]\n", " Kf=k_forward * B^2 * dna_XOR\n", " Kr=k_reverse * complex_B_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "2. 2A+complex[2x_B:dna[XOR]] <--> complex[2x_A:2x_B:dna[XOR]]\n", " Kf=k_forward * A^2 * complex_B_2x_dna_XOR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "3. 2B+complex[2x_A:dna[XOR]] <--> complex[2x_A:2x_B:dna[XOR]]\n", " Kf=k_forward * B^2 * complex_A_2x_dna_XOR_\n", " Kr=k_reverse * complex_A_2x_B_2x_dna_XOR_\n", " k_forward=100.0\n", " k_reverse=10.0\n", "\n", "4. complex[2x_A:dna[XOR]] --> complex[2x_A:dna[XOR]]+protein[GFP]\n", " Kf=k_forward * complex_A_2x_dna_XOR_\n", " k_forward=0.28125\n", "\n", "5. complex[2x_B:dna[XOR]] --> complex[2x_B:dna[XOR]]+protein[GFP]\n", " Kf=k_forward * complex_B_2x_dna_XOR_\n", " k_forward=0.28125\n", "\n", "]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create XOR Logic\n", "Prom_XOR = CombinatorialPromoter(\"combinatorial_promoter\",[A,B], leak=False,\n", " tx_capable_list = [[A], [B]]) #the Combinations just A or just B can be transcribed\n", "\n", "XORassembly = DNAassembly(\"XOR\",promoter=Prom_XOR,rbs=\"medium\",protein=\"GFP\")\n", "\n", "#Use an Expression Mixture to focus on Logic, not Transcription & Translation\n", "M = ExpressionExtract(name=\"expression\", parameter_file = \"default_parameters.txt\", components=[XORassembly])\n", "CRN = M.compile_crn()\n", "print(CRN.pretty_print(show_rates = True, show_keys = False))\n", "\n", "#Lets titrate A and B\n", "try:\n", " import bioscrape \n", "except ModuleNotFoundError:\n", " print('please install the plotting libraries: pip install biocrnpyler[all]')\n", "else:\n", " import numpy as np\n", " import pylab as plt\n", " import pandas as pd\n", " \n", " plt.figure(figsize = (6, 6))\n", " N = 11 #Number of titrations\n", " max_titration = 10\n", " HM = np.zeros((N, N))\n", " for a_ind, A_c in enumerate(np.linspace(0, max_titration, N)):\n", " for b_ind, B_c in enumerate(np.linspace(0, max_titration, N)):\n", " x0 = {XORassembly.dna:1, A:A_c, B:B_c}\n", " timepoints = np.linspace(0, 1000, 1000)\n", " R = CRN.simulate_with_bioscrape_via_sbml(timepoints, initial_condition_dict = x0)\n", " HM[a_ind, b_ind] = R[\"protein_GFP\"][len(timepoints)-1]\n", " plt.title(\"XOR Endpoint Heatmap\")\n", " cb = plt.pcolor(HM)\n", " plt.colorbar(cb)\n", " plt.xlabel(\"B\")\n", " plt.ylabel(\"A\")\n", " \n", " plt.xticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.yticks(np.arange(.5, N+.5, 1), [str(i) for i in np.linspace(0, max_titration, N)])\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# End" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 4 }