MATLAB

Question 1:

You are working on the development of a new chemotherapy drug for lung cancer, Plaxamaxin, and are charged with developing initial dosing and administration recommendations in pre-clinical studies. Plaxamxin is designed so that it could be administered as an inhaled chemotherapy agent, which has shown some added promise for treatment, or as a traditional IV injection. Your job is to figure out some things about dosing, drug kinetics, and clearance.

In early stage trials, you decided to give a bolus aerosolized inhaltion of 1 mg/dL of plaxamaxin at time=0 min, in order to begin understanding this system. In the associated matlab workspace, you can find vectors for time, in minutes, and the inhalation function, in mg/dL (TIME, PLAX_INHAL). Note that the inhalation is complete in 1 second, a negligible amount of time.

You measure systemic concentrations of the drug in the blood (in mg/dL), which is listed in the matlab workspace as PLAX_INHAL_BLOOD given at the end of the question.

You know that in this model, it is safe to assume that over the 5hr timescale you are considering, the physiological system is linear, and time-invariant.

You need to report on blood concentrations if the inhalant was administered via a continuous mask respirator, starting at t=20 min, that delivered .1 mg/dL over 10 min, or a total Plaxamaxin dose of 1 mg/dL.

1a. Generate the mask respirator plaxamaxin administration function (in mg/dL), resp_plax(t), and plot this function.

1b. Generate and Plot the blood concentration of plaxamaxin, resp_plax_blood(t), that arises in response to this administration function.

1c. Generate and Plot the blood concentration of plaxamaxin, resp_plax_blood_2(t) if the inhalant was administered via a continuous mask respirator, starting at t=20 min, that delivered .1 mg/dL over 60 min, or a total Plaxamaxin dose of 6 mg/dL. Describe the difference.

MATLAB Workspace values:

TIME:

Time is a 1x301 double with values starting from 0 to 300

Note: Time is over a 5 hour period (300 minutes)

PLAX_INHAL_BLOOD: 301x1 double

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301

0.001114 0.006097 0.033373 0.182684 1 0.740818 0.548812 0.40657 0.301194 0.22313 0.165299 0.122456 0.090718 0.067206 0.049787 0.036883 0.027324 0.020242 0.014996 0.011109 0.00823 0.006097 0.004517 0.003346 0.002479 0.001836 0.00136 0.001008 0.000747 0.000553 0.00041 0.000304 0.000225 0.000167 0.000123 9.14E-05 6.77E-05 5.02E-05 3.72E-05 2.75E-05 2.04E-05 1.51E-05 1.12E-05 8.29E-06 6.14E-06 4.55E-06 3.37E-06 2.50E-06 1.85E-06 1.37E-06 1.02E-06 7.52E-07 5.57E-07 4.13E-07 3.06E-07 2.27E-07 1.68E-07 1.24E-07 9.21E-08 6.83E-08 5.06E-08 3.75E-08 2.78E-08 2.06E-08 1.52E-08 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0