LD50 Log-Dose Interpolation
Estimate LD50 by linear interpolation of response against log10 dose between an ordered lower point at or below 50% mortality and an ordered higher point at or above 50%. This is a two-point estimate, not a fitted dose-response model.
Description
Estimate LD50 by linear interpolation of response against log10 dose between an ordered lower point at or below 50% mortality and an ordered higher point at or above 50%. This is a two-point estimate, not a fitted dose-response model.
LD50 Log-Dose Interpolation is a focused biology tool that estimate LD50 by linear interpolation of response against log10 dose between an ordered lower point at or below 50% mortality and an ordered higher point at or above 50%. This is a two-point estimate, not a fitted dose-response model. It calculates locally from the values you enter and exposes the result without changing the source observations.1
When to use LD50 Log-Dose Interpolation
Use LD50 Log-Dose Interpolation when you need to estimate LD50 by linear interpolation of response against log10 dose between an ordered lower point at or below 50% mortality and an ordered higher point at or above 50%. This is a two-point estimate, not a fitted dose-response model. Enter Lower dose, Higher dose, Response at lower dose, and Response at higher dose using the definitions and units below so the result can be reproduced.
- Lower dose
- A finite measured or assumed value.
- Higher dose
- A finite measured or assumed value.
- Response at lower dose
- A finite measured or assumed value from 0 through 1.
- Response at higher dose
- A finite measured or assumed value from 0 through 1.
How LD50 Log-Dose Interpolation calculates the result
The published tool contract uses this rule: Estimate LD50 by linear interpolation of response against log10 dose between an ordered lower point at or below 50% mortality and an ordered higher point at or above 50%. This is a two-point estimate, not a fitted dose-response model.1
- Estimated LD50
- The calculated estimated ld50.
Limitations of LD50 Log-Dose Interpolation
The output is an estimate tied to the stated model and coefficients; it is not a direct measurement and should retain that label when reported. It is informational and cannot diagnose a condition, select treatment, or replace professional interpretation of the original measurements. Response at lower dose must remain between 0 and 1; Response at higher dose must remain between 0 and 1.
Alternative or Complementary measurements
Retain the original Lower dose, Higher dose, Response at lower dose, and Response at higher dose values and their units alongside the result. Probit LD50 Estimate is useful when you instead need to calculate LD50 from a fitted probit-5 model of the form probit = intercept + slope × log10(dose). Fifty percent response is probit 5, so LD50 = 10^((5 − intercept)/slope). Log Series Alpha Proxy provides another view by helping you compute a documented Fisher-lite proxy for the log-series alpha parameter as species count divided by the natural logarithm of total individuals plus one.
References
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Median lethal dose — Wikipedia contributors
Similar or alternative tools
- Probit LD50 Estimate
Calculate LD50 from a fitted probit-5 model of the form probit = intercept + slope × log10(dose). Fifty percent response is probit 5, so LD50 = 10^((5 − intercept)/slope).
- Log Series Alpha Proxy
Compute a documented Fisher-lite proxy for the log-series alpha parameter as species count divided by the natural logarithm of total individuals plus one.
- Apparent Vd
Estimate volume of distribution as the systemically available dose (administered dose times bioavailability) divided by plasma concentration.