Minimum Effective Dose Calculator

Example rows use the Emax model and are for demonstration only.

Dose–response model (Emax / Hill equation):

E(D) = E0 + (Emax − E0) · D^n / (EC50^n + D^n)

Minimum Effective Dose (MED) for a target response (T):

MED = EC50 · ((T − E0) / (Emax − T))^(1/n)

Constraints: T must be strictly between E0 and Emax, and n > 0.

1. Choose your dose unit (mg or mcg) and enter body weight.
2. Set E0, Emax, EC50, and n using trustworthy references.
3. Pick a target response between E0 and Emax.
4. Optionally set a maximum allowed dose and daily frequency.
5. Press Calculate to see MED, mg/kg, daily total, and the chart.
6. Use history and exports to compare scenarios over time.

No saved calculations yet. Run the calculator to build a history.

Why minimum effective dose matters

Minimum effective dose (MED) is the smallest dose expected to reach a chosen health target. Using the smallest workable dose can reduce side‑effects and cost. In dose‑response research, benefits often rise quickly at first, then level off. This calculator helps you quantify that “first useful point” instead of guessing.

Inputs that drive the calculation

The model uses a baseline response (E0), a maximum response (Emax), the midpoint dose (EC50), and the Hill slope (n). For example, E0=5, Emax=95, EC50=50 mg, and n=1.5 create a smooth curve. You also set a target response, such as 60. The tool then solves for the smallest dose predicted to reach that target.

Understanding the dose–response curve

The chart plots dose on the x‑axis and predicted response on the y‑axis. A target line marks your chosen response, and a dot marks the MED. When n is higher, the curve becomes steeper and the MED can shift lower or higher depending on the target. When EC50 increases, the curve shifts right, usually increasing the MED.

Weight-based interpretation and safety limits

After the MED is computed, the result is also shown as mg/kg using your body weight. A 70 kg person taking 35 mg has 0.50 mg/kg. If you set a maximum allowed dose, the calculator compares it to the MED and flags any exceedance. This supports safer planning, but it cannot replace professional clinical judgment.

Using the result for a dosing schedule

You can add a daily frequency to estimate total daily amount. For instance, 30 mg taken twice daily yields 60 mg/day. If your target requires 45 mg but your limit is 40 mg, consider lowering the target or discussing alternatives. Re‑running scenarios helps you see trade‑offs between targets, limits, and curve parameters.

Exporting, tracking, and reviewing scenarios

Each calculation can be saved in your session history with a timestamp, making it easy to compare scenarios. Export the history as CSV for spreadsheets or generate a PDF report for sharing. Keeping records is especially useful when you adjust EC50 or slope based on new lab values, study summaries, or clinician guidance. Aim to update assumptions whenever evidence changes, and always monitor symptoms, vitals, or lab markers after any adjustment carefully.