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All of the graphs in the literature suggest a positive second derivative. Why do you say negative? AIUI the model is that hormesis kicks in even for extremely s

All of the graphs in the literature suggest a positive second derivative. Why do you say negative? AIUI the model is that hormesis kicks in even for extremely small amounts of radiation, but has a limited effect and is overwhelmed by the negative effects of larger amounts.

pfdietz 3y ago
I say negative because that's what this study is suggesting -- the slope of the curve is higher at lower dose than at higher doses.
- queuebert 3y ago
  That doesn't mean negative. The curve could be flat, then steeply rises to match LNT at some point.
  - pfdietz 3y ago
    It means that somewhere the second derivative must be negative (proof: take the derivative, then apply the mean value theorem of calculus)
    - queuebert 3y ago
      You're correct of course. I read that as first derivative for some reason.