Question

3. in a phase I clinical trial for a new drug, one of the main goals is to determine the recommended dose of the drug for phase II of the trial. Typically, the drug is tested with a low dose, and if deemed safe, the dose is escalated (increased) until toxicity becomes too high. A common pattern of dose escalation is to increase the dose by 67% after the first round, then 50% after the second round, 40% after the third round, and 33% after each successive round. Write a MATLAB seript to determine the dose escalation pattern for a new drug being tested for cancer treatment. The starting dose is 0.2 mg/kg. Create an array dose, which consists of the first 10 doses.

Answer 1

MATLAB stands for matrix laboratory

As per the above explanation for increasing the dose of a drug in trial is the following :-

Starting dose - 0.2mg/kg

67% is increased after first round - 67/100 × 0.2 = 0.134

New dose = 0.2+ 0.134 = 0.334mg /kg

Then 50% is increased after second dose - 50/100 × 0.33 = 0.165

New dose = 0.334+ 0.165 = 0.499 mg/kg

Then 40% after the third dose - 40/100 × 0.499 = 0.1996

New dose = 0.1996+ 0.499 = 0.698

Then 33% after each successive dose - 33/100 × 0.698

= 0.23 , new dose = 0.23 + 0.698 = 0.92 mg

Then again 33% is increased - 33/100 × 0.92 = 0.30

New dose - 0.30+0.92 = 1.22mg

Then again 33% is increased - 33/100× 1.22= 0.40

New dose = 1.22+ 0.40 = 1.62mg

Then again 33% is increased - 33/100× 1.62 = 0.53

New dose - 1.62+ 0.53= 2.15mg

Then again 33% is increased - 33/100× 2.15= 0.70

New dose - 2.15+ 0.70= 2.85mg

Then again increased by 33% - 33/100 × 2.85= 0.94

New dose- 2.85+ 0.94= 3.79mg

Then again increased by 33% - 33/100× 3.7= 1.2

New dose - 3.7+ 1.2 = 4.9mg