This viva is relevant to the objectives of Section C(i) from the 2017 CICM Primary Syllabus, which expects the exam candidate to "define and explain dose-effect relationships of drugs, including dose-response curves with reference to... graded and quantal response".
One should produce something like this:
The trainee should at this stage be encouraged to demonstrate these on the quantal dose-response curve they just drew:
It is "the ratio of the TD50 to the ED50 for some therapeutically relevant effect" (Katzung)
or:
"Therapeutic index is most commonly defined as the ratio of the median lethal dose (LD50) to the median effective dose (ED50), as determined in preclinical animal studies, [which] reflects the selectivity of a drug to elicit a desired effect rather than toxicity"
Dimmitt, Simon, Hans Stampfer, and Jennifer H. Martin. "When less is more–efficacy with less toxicity at the ED50." British journal of clinical pharmacology 83.7 (2017): 1365-1368.
Neubig, Richard R., et al. "International Union of Pharmacology Committee on Receptor Nomenclature and Drug Classification. XXXVIII. Update on terms and symbols in quantitative pharmacology." Pharmacological reviews 55.4 (2003): 597-606.
Abughazaleh, R. D., & Tracy, T. S. (2014). Therapeutic Index. Wiley StatsRef: Statistics Reference Online.doi:10.1002/9781118445112.stat07121. Originally published online in 2007 in Wiley Encyclopedia of Clinical Trials, © John Wiley & Sons, Inc. and republished in Wiley StatsRef: Statistics Reference Online, 2014.
Trevan, John William. "The error of determination of toxicity." Proc. R. Soc. Lond. B 101.712 (1927): 483-514.
Zhou, Jian-Xin, et al. "The efficacy and safety of intravenous emulsified isoflurane in rats." Anesthesia & Analgesia 102.1 (2006): 129-134.