On a Mathematical Theory of Quantal Response Assays
PURDUE UNIVERSITY WEST LAFAYETTE United States
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About seven years ago, one of the authors Puri 16 was confronted with the following biological phenomenon. At time t 0, each member of a group of hosts such as animals is injected with a dose of a specified virulent organism such as viruses or bacteria, which elicit a characteristic response from the host during the course of time. This response may be death, development of a tumor, or some other detectable symptom. If nt denotes the number of hosts not responding by time t, the plot against t of either nt itself or of the proportion ntnO is known as the time dependent response curve. These response curves differ with the dose and with the type of the organism. However, generally speaking, the larger the injected dose, the sooner the host responds. The question was raised as to how one could explain these observed response curves through a suitable stochastic model.
- Operations Research