|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "id": "03f46b26", |
| 6 | + "metadata": {}, |
| 7 | + "source": [ |
| 8 | + "# Effects of isoproterenol" |
| 9 | + ] |
| 10 | + }, |
| 11 | + { |
| 12 | + "cell_type": "code", |
| 13 | + "execution_count": null, |
| 14 | + "id": "186be4a6", |
| 15 | + "metadata": {}, |
| 16 | + "outputs": [], |
| 17 | + "source": [ |
| 18 | + "using ModelingToolkit\n", |
| 19 | + "using OrdinaryDiffEq, SteadyStateDiffEq, DiffEqCallbacks\n", |
| 20 | + "using Plots\n", |
| 21 | + "using CSV\n", |
| 22 | + "using DataFrames\n", |
| 23 | + "using Dates\n", |
| 24 | + "using CaMKIIModel\n", |
| 25 | + "using CaMKIIModel: second, μM\n", |
| 26 | + "Plots.default(lw=1.5)" |
| 27 | + ] |
| 28 | + }, |
| 29 | + { |
| 30 | + "cell_type": "markdown", |
| 31 | + "id": "1dbd36d1", |
| 32 | + "metadata": {}, |
| 33 | + "source": [ |
| 34 | + "## Setup model" |
| 35 | + ] |
| 36 | + }, |
| 37 | + { |
| 38 | + "cell_type": "code", |
| 39 | + "execution_count": null, |
| 40 | + "id": "508feb7c", |
| 41 | + "metadata": {}, |
| 42 | + "outputs": [], |
| 43 | + "source": [ |
| 44 | + "sys = build_neonatal_ecc_sys(simplify=true, reduce_iso=true, reduce_camk=true)\n", |
| 45 | + "tend = 205second\n", |
| 46 | + "prob = ODEProblem(sys, [], tend)\n", |
| 47 | + "stimstart = 30second\n", |
| 48 | + "stimend = 120second\n", |
| 49 | + "alg = KenCarp47()" |
| 50 | + ] |
| 51 | + }, |
| 52 | + { |
| 53 | + "cell_type": "markdown", |
| 54 | + "id": "133cdc7a", |
| 55 | + "metadata": {}, |
| 56 | + "source": [ |
| 57 | + "## Without isoproterenol" |
| 58 | + ] |
| 59 | + }, |
| 60 | + { |
| 61 | + "cell_type": "code", |
| 62 | + "execution_count": null, |
| 63 | + "id": "a7751eaf", |
| 64 | + "metadata": {}, |
| 65 | + "outputs": [], |
| 66 | + "source": [ |
| 67 | + "@unpack Istim = sys\n", |
| 68 | + "callback = build_stim_callbacks(Istim, stimend; period=1second, starttime=stimstart)\n", |
| 69 | + "@time sol = solve(prob, alg; callback)" |
| 70 | + ] |
| 71 | + }, |
| 72 | + { |
| 73 | + "cell_type": "code", |
| 74 | + "execution_count": null, |
| 75 | + "id": "177fbe83", |
| 76 | + "metadata": {}, |
| 77 | + "outputs": [], |
| 78 | + "source": [ |
| 79 | + "i = (sys.t / 1000, sys.vm)\n", |
| 80 | + "plot(sol, idxs=i, tspan=(100second, 101second), title=\"Action potential\", xlabel=\"Time (s)\")" |
| 81 | + ] |
| 82 | + }, |
| 83 | + { |
| 84 | + "cell_type": "code", |
| 85 | + "execution_count": null, |
| 86 | + "id": "84300558", |
| 87 | + "metadata": {}, |
| 88 | + "outputs": [], |
| 89 | + "source": [ |
| 90 | + "plot(sol, idxs=(sys.t / 1000, [sys.Cai_sub_SR, sys.Cai_sub_SL, sys.Cai_mean]), tspan=(100second, 101second), title=\"Calcium transient\", xlabel=\"Time (s)\", ylabel=\"Conc. (μM)\", label=[\"Ca (SR)\" \"Ca (SL)\" \"Ca (avg)\"])" |
| 91 | + ] |
| 92 | + }, |
| 93 | + { |
| 94 | + "cell_type": "code", |
| 95 | + "execution_count": null, |
| 96 | + "id": "3d16357b", |
| 97 | + "metadata": {}, |
| 98 | + "outputs": [], |
| 99 | + "source": [ |
| 100 | + "plot(sol, idxs=(sys.t / 1000, sys.CaMKAct * 100), title=\"Active CaMKII\", label=false, ylabel=\"Active fraction (%)\", xlabel=\"Time (s)\")" |
| 101 | + ] |
| 102 | + }, |
| 103 | + { |
| 104 | + "cell_type": "markdown", |
| 105 | + "id": "ec7e598d", |
| 106 | + "metadata": {}, |
| 107 | + "source": [ |
| 108 | + "## 0.1uM isoproterenol" |
| 109 | + ] |
| 110 | + }, |
| 111 | + { |
| 112 | + "cell_type": "code", |
| 113 | + "execution_count": null, |
| 114 | + "id": "fade2254", |
| 115 | + "metadata": {}, |
| 116 | + "outputs": [], |
| 117 | + "source": [ |
| 118 | + "prob2 = remake(prob, p=[sys.ISO => 0.1μM])\n", |
| 119 | + "sol2 = solve(prob2, alg; callback)" |
| 120 | + ] |
| 121 | + }, |
| 122 | + { |
| 123 | + "cell_type": "code", |
| 124 | + "execution_count": null, |
| 125 | + "id": "ae649703", |
| 126 | + "metadata": {}, |
| 127 | + "outputs": [], |
| 128 | + "source": [ |
| 129 | + "plot(sol2, idxs=(sys.t / 1000, sys.vm), tspan=(100second, 101second), title=\"Action potential\", xlabel=\"Time (s)\")" |
| 130 | + ] |
| 131 | + }, |
| 132 | + { |
| 133 | + "cell_type": "code", |
| 134 | + "execution_count": null, |
| 135 | + "id": "07f5a634", |
| 136 | + "metadata": {}, |
| 137 | + "outputs": [], |
| 138 | + "source": [ |
| 139 | + "plot(sol2, idxs=(sys.t / 1000, [sys.Cai_sub_SR, sys.Cai_sub_SL, sys.Cai_mean]), tspan=(100second, 101second), title=\"Calcium transcient\", xlabel=\"Time (s)\", ylabel=\"Conc. (μM)\", label=[\"Ca (SR)\" \"Ca (SL)\" \"Ca (avg)\"])" |
| 140 | + ] |
| 141 | + }, |
| 142 | + { |
| 143 | + "cell_type": "code", |
| 144 | + "execution_count": null, |
| 145 | + "id": "d7cbf5a2", |
| 146 | + "metadata": {}, |
| 147 | + "outputs": [], |
| 148 | + "source": [ |
| 149 | + "plot(sol2, idxs=(sys.t / 1000, sys.CaMKAct * 100), title=\"Active CaMKII\", label=false, ylabel=\"Active fraction (%)\", xlabel=\"Time (s)\")" |
| 150 | + ] |
| 151 | + }, |
| 152 | + { |
| 153 | + "cell_type": "markdown", |
| 154 | + "id": "f9025666", |
| 155 | + "metadata": {}, |
| 156 | + "source": [ |
| 157 | + "## Comparison" |
| 158 | + ] |
| 159 | + }, |
| 160 | + { |
| 161 | + "cell_type": "code", |
| 162 | + "execution_count": null, |
| 163 | + "id": "eb144dd3", |
| 164 | + "metadata": {}, |
| 165 | + "outputs": [], |
| 166 | + "source": [ |
| 167 | + "i = (sys.t / 1000, sys.Cai_mean)\n", |
| 168 | + "tspan = (100second, 101second)\n", |
| 169 | + "plot(sol, idxs=i, title=\"Calcium transcient\", lab=\"ISO (-)\"; tspan)\n", |
| 170 | + "plot!(sol2, idxs=i, lab=\"ISO (0.1uM)\", xlabel=\"Time (s)\", ylabel=\"Concentration (μM)\"; tspan)" |
| 171 | + ] |
| 172 | + }, |
| 173 | + { |
| 174 | + "cell_type": "code", |
| 175 | + "execution_count": null, |
| 176 | + "id": "5d73e22b", |
| 177 | + "metadata": {}, |
| 178 | + "outputs": [], |
| 179 | + "source": [ |
| 180 | + "savefig(\"iso-caT.pdf\")" |
| 181 | + ] |
| 182 | + }, |
| 183 | + { |
| 184 | + "cell_type": "markdown", |
| 185 | + "id": "d82a623e", |
| 186 | + "metadata": {}, |
| 187 | + "source": [ |
| 188 | + "Maximal and minimal calcium concentrations in calcium transients." |
| 189 | + ] |
| 190 | + }, |
| 191 | + { |
| 192 | + "cell_type": "code", |
| 193 | + "execution_count": null, |
| 194 | + "id": "a867605f", |
| 195 | + "metadata": {}, |
| 196 | + "outputs": [], |
| 197 | + "source": [ |
| 198 | + "ca_ctl = sol(tspan[1]:1:tspan[2], idxs=sys.Cai_mean)\n", |
| 199 | + "println(extrema(ca_ctl))" |
| 200 | + ] |
| 201 | + }, |
| 202 | + { |
| 203 | + "cell_type": "code", |
| 204 | + "execution_count": null, |
| 205 | + "id": "331198b3", |
| 206 | + "metadata": {}, |
| 207 | + "outputs": [], |
| 208 | + "source": [ |
| 209 | + "ca_iso = sol2(tspan[1]:1:tspan[2], idxs=sys.Cai_mean)\n", |
| 210 | + "println(extrema(ca_iso))" |
| 211 | + ] |
| 212 | + }, |
| 213 | + { |
| 214 | + "cell_type": "code", |
| 215 | + "execution_count": null, |
| 216 | + "id": "31da0784", |
| 217 | + "metadata": {}, |
| 218 | + "outputs": [], |
| 219 | + "source": [ |
| 220 | + "i = (sys.t / 1000, sys.CaMKAct * 100)\n", |
| 221 | + "plot(sol, idxs=i, title=\"Active CaMKII\", lab=\"ISO (-)\")\n", |
| 222 | + "plot!(sol2, idxs=i, lab=\"ISO (0.1uM)\", ylabel=\"Active fraction (%)\", xlabel=\"Time (s)\")" |
| 223 | + ] |
| 224 | + }, |
| 225 | + { |
| 226 | + "cell_type": "code", |
| 227 | + "execution_count": null, |
| 228 | + "id": "765655b0", |
| 229 | + "metadata": {}, |
| 230 | + "outputs": [], |
| 231 | + "source": [ |
| 232 | + "savefig(\"iso-camkact.pdf\")" |
| 233 | + ] |
| 234 | + }, |
| 235 | + { |
| 236 | + "cell_type": "code", |
| 237 | + "execution_count": null, |
| 238 | + "id": "a4e81ca9", |
| 239 | + "metadata": {}, |
| 240 | + "outputs": [], |
| 241 | + "source": [ |
| 242 | + "i = (sys.t / 1000, sys.vm)\n", |
| 243 | + "tspan = (100second, 101second)\n", |
| 244 | + "plot(sol, idxs=i, title=\"Action potential\", lab=\"ISO (-)\"; tspan)\n", |
| 245 | + "plot!(sol2, idxs=i, lab=\"ISO (0.1uM)\", xlabel=\"Time (ms)\", ylabel=\"Voltage (mV)\"; tspan)" |
| 246 | + ] |
| 247 | + }, |
| 248 | + { |
| 249 | + "cell_type": "markdown", |
| 250 | + "id": "066cd384", |
| 251 | + "metadata": {}, |
| 252 | + "source": [ |
| 253 | + "## Experimental data" |
| 254 | + ] |
| 255 | + }, |
| 256 | + { |
| 257 | + "cell_type": "code", |
| 258 | + "execution_count": null, |
| 259 | + "id": "10748a73", |
| 260 | + "metadata": {}, |
| 261 | + "outputs": [], |
| 262 | + "source": [ |
| 263 | + "chemicaldf = CSV.read(joinpath(@__DIR__, \"data/CaMKAR-chemical.csv\"), DataFrame)\n", |
| 264 | + "ts = Dates.value.(chemicaldf[!, \"Time\"]) ./ 10^9\n", |
| 265 | + "ctl = chemicaldf[!, \"Ctrl Mean\"]\n", |
| 266 | + "ctl_error = chemicaldf[!, \"Ctrl SD\"] ./ sqrt.(chemicaldf[!, \"Ctrl N\"])" |
| 267 | + ] |
| 268 | + }, |
| 269 | + { |
| 270 | + "cell_type": "code", |
| 271 | + "execution_count": null, |
| 272 | + "id": "04073b8a", |
| 273 | + "metadata": {}, |
| 274 | + "outputs": [], |
| 275 | + "source": [ |
| 276 | + "iso = chemicaldf[!, \"isoproterenol 100nM Mean\"]\n", |
| 277 | + "iso_error = chemicaldf[!, \"isoproterenol 100nM SD\"] ./ sqrt.(chemicaldf[!, \"isoproterenol 100nM N\"])" |
| 278 | + ] |
| 279 | + }, |
| 280 | + { |
| 281 | + "cell_type": "code", |
| 282 | + "execution_count": null, |
| 283 | + "id": "5a02bb39", |
| 284 | + "metadata": {}, |
| 285 | + "outputs": [], |
| 286 | + "source": [ |
| 287 | + "plot(ts, ctl, yerr=ctl_error, lab=\"Control\", color=:blue, markerstrokecolor=:blue)\n", |
| 288 | + "plot!(ts, iso, yerr=iso_error, lab=\"ISO 100nM\", color=:red, markerstrokecolor=:red)\n", |
| 289 | + "plot!(xlabel=\"Time (sec.)\", ylabel=\"CaMKII activity (A.U.)\")\n" |
| 290 | + ] |
| 291 | + }, |
| 292 | + { |
| 293 | + "cell_type": "code", |
| 294 | + "execution_count": null, |
| 295 | + "id": "676c095e", |
| 296 | + "metadata": {}, |
| 297 | + "outputs": [], |
| 298 | + "source": [ |
| 299 | + "savefig(\"iso-exp.pdf\")" |
| 300 | + ] |
| 301 | + } |
| 302 | + ], |
| 303 | + "metadata": { |
| 304 | + "kernelspec": { |
| 305 | + "display_name": "Julia 1.12.2", |
| 306 | + "language": "julia", |
| 307 | + "name": "julia-1.12" |
| 308 | + }, |
| 309 | + "language_info": { |
| 310 | + "file_extension": ".jl", |
| 311 | + "mimetype": "application/julia", |
| 312 | + "name": "julia", |
| 313 | + "version": "1.12.2" |
| 314 | + } |
| 315 | + }, |
| 316 | + "nbformat": 4, |
| 317 | + "nbformat_minor": 5 |
| 318 | +} |
0 commit comments