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{"cells":[{"cell_type":"markdown","source":["# Exploring model variants with `screen`"],"metadata":{}},{"cell_type":"markdown","source":["This notebooks demonstrates a simple use of `screen` to explore large\n","number of model variants. On the toy *E. Coli* model, we try to map the\n","impact of knocking out single reactions and 2-reaction combinations."],"metadata":{}},{"cell_type":"markdown","source":["First, let's download the data and load the packages and the model"],"metadata":{}},{"outputs":[{"output_type":"execute_result","data":{"text/plain":"Metabolic model of type StandardModel\nsparse([9, 51, 55, 64, 65, 34, 44, 59, 66, 64  …  20, 22, 23, 25, 16, 17, 34, 44, 57, 59], [1, 1, 1, 1, 1, 2, 2, 2, 2, 3  …  93, 93, 94, 94, 95, 95, 95, 95, 95, 95], [1.0, 1.0, -1.0, -1.0, 1.0, -1.0, 1.0, -1.0, 1.0, 1.0  …  1.0, -1.0, 1.0, -1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0], 72, 95)\nNumber of reactions: 95\nNumber of metabolites: 72\n"},"metadata":{},"execution_count":1}],"cell_type":"code","source":["!isfile(\"e_coli_core.json\") &&\n","    download(\"http://bigg.ucsd.edu/static/models/e_coli_core.json\", \"e_coli_core.json\");\n","\n","using COBREXA, Tulip\n","\n","model = load_model(StandardModel, \"e_coli_core.json\")"],"metadata":{},"execution_count":1},{"cell_type":"markdown","source":["## Preparing the functions\n","\n","While we could use the `with_changed_bound` to limit the reaction rates,\n","but we will make a slightly more precise, usage-tailored modification. This\n","is a straightforward modification of the `with_changed_bound` that does\n","not set bounds \"outside\" of the original bounds:"],"metadata":{}},{"outputs":[{"output_type":"execute_result","data":{"text/plain":"with_limited_rate (generic function with 1 method)"},"metadata":{},"execution_count":2}],"cell_type":"code","source":["with_limited_rate(reaction_id::String, limit) =\n","    model::StandardModel -> begin\n","        m = copy(model)\n","        m.reactions = copy(model.reactions)\n","        r = m.reactions[reaction_id] = copy(model.reactions[reaction_id])\n","        if -limit > r.lb\n","            r.lb = -limit\n","        end\n","        if limit < r.ub\n","            r.ub = limit\n","        end\n","        m\n","    end"],"metadata":{},"execution_count":2},{"cell_type":"markdown","source":["## Knocking out single reactions\n","\n","This can be applied to see how much biomass can the model produce with\n","certain reactions limited to almost zero:"],"metadata":{}},{"outputs":[{"output_type":"execute_result","data":{"text/plain":"95-element Vector{Real}:\n 0.7110773172306842\n 0.8739215069620168\n 0.8633809523181394\n 0.007974352115966855\n 0.8640171040038155\n 0.8739215063456838\n 0.87392150695555\n 0.009054524481803774\n 0.027183515911490083\n 0.8739215069217056\n ⋮\n 0.8739215022678488\n 0.8270283079105472\n 0.8739215065011818\n 0.8739215045533565\n 0.21346280281143498\n 0.8739215053667706\n 0.018339201041498398\n 0.21526265974680325\n 0.7975549891965423"},"metadata":{},"execution_count":3}],"cell_type":"code","source":["get_biomass(x) = isnothing(x) ? 0 : x[\"BIOMASS_Ecoli_core_w_GAM\"]\n","\n","productions = screen_variants(\n","    model,\n","    [[with_limited_rate(rxn, 0.1)] for rxn in reactions(model)],\n","    model -> get_biomass(flux_balance_analysis_dict(model, Tulip.Optimizer)),\n",")"],"metadata":{},"execution_count":3},{"cell_type":"markdown","source":["This can be nicely plotted to give a more comprehensive overview of which\n","reactions are critical or not:"],"metadata":{}},{"outputs":[{"output_type":"execute_result","data":{"text/plain":"FigureAxisPlot()","image/png":"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"},"metadata":{},"execution_count":4}],"cell_type":"code","source":["using CairoMakie\n","\n","disp_rxns = rand(1:95, 20) # only display 20 random fluxes to save space\n","barplot(\n","    productions[disp_rxns],\n","    direction = :x,\n","    axis = (\n","        yticks = (1:20, reactions(model)[disp_rxns]),\n","        xlabel = \"Flux [mmol/gDW/h]\",\n","        ylabel = \"Reaction ID\",\n","    ),\n",")"],"metadata":{},"execution_count":4},{"cell_type":"markdown","source":["## Knocking out reaction combinations\n","\n","It is very easy to prepare matrices of biomass productions from all possible\n","two-reaction knockouts. To make it more interesting, we will restrict one of\n","the reactions of the pair a bit less, to see more possible outcomes."],"metadata":{}},{"cell_type":"markdown","source":["We do not process all reactions here to make the notebook rendering\n","efficient, but you can easily remove the restriction, and speed the process\n","up using parallel execution, by specifying `workers` argument (see\n","documentation of `screen` for details)"],"metadata":{}},{"outputs":[{"output_type":"execute_result","data":{"text/plain":"Figure()","image/png":"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"},"metadata":{},"execution_count":5}],"cell_type":"code","source":["rxns = reactions(model)\n","\n","productions = screen_variants(\n","    model,\n","    [\n","        [with_limited_rate(rxn1, 3), with_limited_rate(rxn2, 0.1)] for rxn1 in rxns,\n","        rxn2 in rxns\n","    ],\n","    model -> get_biomass(flux_balance_analysis_dict(model, Tulip.Optimizer)),\n",")\n","\n","f = Figure()\n","ax = Axis(\n","    f[1, 1],\n","    ylabel = \"Reaction KO\",\n","    xlabel = \"Reaction KO\",\n","    yticks = (1:20, reactions(model)[disp_rxns]),\n","    xticks = (1:20, reactions(model)[disp_rxns]),\n","    xticklabelrotation = -pi / 4,\n",")\n","hm = heatmap!(ax, productions[disp_rxns, disp_rxns])\n","Colorbar(f[1, 2], hm, label = \"Flux [mmol/gDW/h]\")\n","f"],"metadata":{},"execution_count":5},{"cell_type":"markdown","source":["---\n","\n","*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"],"metadata":{}}],"nbformat_minor":3,"metadata":{"language_info":{"file_extension":".jl","mimetype":"application/julia","name":"julia","version":"1.1.0"},"kernelspec":{"name":"julia-1.1","display_name":"Julia 1.1.0","language":"julia"}},"nbformat":4}