Premium
Markov chain modelling of bioassay toxicity procedures
Author(s) -
Hadjinicola George,
Goldstein Larry
Publication year - 1993
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780120705
Subject(s) - markov chain , bioassay , a priori and a posteriori , computer science , statistics , toxicity , maximum tolerated dose , mathematics , medicine , biology , philosophy , genetics , epistemology
Many bioassay procedures to test a new substance for toxicity, like some phase I clinical trials, can be modelled as first‐order Markov chains with absorbing states. We provide a general framework for such procedures. We show how one may calculate under any dose response curve assumption final absorption probabilities, and a number of total average costs such as time required until trial completion, number of subjects treated, number of subjects exhibiting unaceptable levels of toxicity, and amount of medication administered. One may use the above information associated with the trial for an a priori comparison between competing designs under consideration. We provide an example of such a comparison.