A Dose-Response Equation for the Invasion of Micro-Organisms

A series of kc doses (n', n , , nk micro-organisms) is administered to ml , m2 , ... , mk test animals respectively, and the corresponding survivors are observed to number r, r2, , .rk (The terms "survivors" and "killed" whenever they occur subsequently, are meant to cover also the case when "not infected" are compared with "infected"). This paper derives a dose-response relation from a hypothesis based on the mode of action of the micro-organisms against their host first suggested by H. A. Druett (2). Assuming that