AP® Environmental Science · Unit 8 · Topic 8.13
Dose Response Curves
A dose-response curve plots how much of a substance it takes to produce a biological effect in a population, letting scientists find thresholds and compare toxicity, even between chemicals with identical LD50 values.
A dose-response curve puts dose on the x-axis and percent of a test population showing some effect, like death or illness, on the y-axis. As dose rises, response rises too, usually slowly at first, then steeply through a middle range, then leveling off near 100 percent once nearly every organism is affected. The threshold is the dose below which no measurable response appears at all, read straight off the graph as the point where the curve lifts off zero. Between two measured points, you can estimate an unknown response by treating the curve as roughly a straight line and interpolating.
LD50, the dose lethal to 50 percent of a population, marks just one point on this curve. Two chemicals can share an identical LD50 and still behave completely differently at low doses: one stays flat and harmless until doses climb close to the LD50, the other spikes upward almost immediately. That difference in curve shape, not the LD50 itself, is what determines a safe handling range. It also breaks the comfortable assumption that cutting the dose always cuts the risk proportionally, since a steep low-dose curve means even a small exposure causes real harm, and some substances, including many carcinogens and endocrine disruptors, show no safe threshold at all.
This connects directly to bioaccumulation and biomagnification earlier in the unit: an organism low on a food chain might sit safely below a threshold, while predators accumulating the same toxin through repeated feeding climb into the steep or lethal part of the curve. Dose-response thinking is what turns a measured concentration in water or soil into an actual risk assessment.
Key terms
- Dose-response curve
- A graph of the percent of a population showing an effect plotted against the dose of a substance received.
- LD50
- The dose of a substance that is lethal to 50 percent of a test population.
- Threshold
- The dose below which no measurable response occurs in the population.
- Bioaccumulation
- The buildup of a substance in an individual organism's tissues over its lifetime.
- Biomagnification
- The increasing concentration of a substance at each higher level of a food chain.
Watch it explained
- How it worksWalk me through plotting dose against response and finding the threshold on the curve.
- How it worksHow does a nonlinear low-dose curve break the assumption that less is always safer?
- Worked exampleFind the response at 40 mg per kg on a curve that is 10 percent at 20 and 90 percent at 60.
- Common mistakeWhy isn't there always a threshold under which a dose has no effect at all?
Check yourself
End of topic.