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Tumor Doubling Time Calculator

Calculate tumor volume doubling time, specific growth rate, and projected size from serial imaging measurements. Includes RECIST-like diameter change assessment.

About this calculator

Volume doubling time is calculated from two serial imaging measurements of the same tumor, converting each longest-diameter reading into an estimated volume under a spherical-geometry assumption (4/3 x pi x radius cubed) and then finding how long it would take, at the observed exponential growth rate, for that volume to double. Because volume scales with the cube of diameter, even a modest-looking diameter increase between two scans can represent a much larger volume increase -- a diameter growing from 15 mm to 22 mm, for example, is roughly a 3.1-fold volume increase, not a 1.5-fold one, so a growth rate calculated from diameter alone systematically understates the underlying volume change. The number of days between the two scans also matters more to the doubling time estimate than either diameter reading alone, since the same measured volume ratio stretched over a longer interval implies a slower underlying growth rate, and stretched over a shorter interval implies a faster one -- a scanning interval recorded even a few days off can shift the calculated doubling time by a comparable margin to a real change in tumor size.

The specific growth rate (percent change per day, on the same exponential model) and the projected future diameter both follow directly from that same growth rate, extrapolated forward assuming growth stays exponential and unchanged from what the two scans captured -- an assumption that becomes progressively less reliable the further out the projection window and the target-diameter calculation are set, since neither of those two settings can influence the calculated doubling time itself; they only determine how far the same measured growth rate gets extrapolated forward. Real tumors frequently show S-shaped (Gompertzian) rather than pure exponential growth over long periods, treatment can change the growth rate entirely between scans, and imaging measurement variability of just a millimeter or two can swing the doubling time estimate substantially for slow-growing or minimally changed tumors. This tool computes growth kinetics from measurements you provide -- it does not estimate survival or prognosis, and a RECIST percent-diameter-change figure from two points is not equivalent to a formal RECIST response assessment across a full treatment timeline.

Inputs

Results

Volume doubling time (days)

54.3

Specific growth rate (%/day)

1.28

Volume at scan 1 (mm³)1,767.1
Volume at scan 2 (mm³)5,575.3
Projected diameter (mm)47.3
Days to target diameter73
Diameter change (%)46.7
How to Use This Calculator
  1. Enter First and Second measurement diameter (mm) from two serial scans, and the Days between scans.
  2. Optionally set Project forward (days) to estimate a future diameter, and Target diameter (mm) to estimate time to reach a specific size (e.g. a surgical threshold).
  3. Read estimated tumor doubling time (days) and specific growth rate (%/day).
  4. Review Projected diameter and Days to target diameter -- the latter reads as 0 if the target is already passed or growth is heading away from it.
  5. Note: growth rates vary widely — use results for relative comparison, not absolute prognosis.

How the result changes with Second measurement diameter (mm)

Second measurement diameter (mm)Volume doubling time (days)Specific growth rate (%/day)
11-67-1.03
17166.10.42
3326.42.63
55164.33

What each input means

First measurement diameter (mm)
Longest diameter of the tumor on the first scan.
Second measurement diameter (mm)
Longest diameter of the tumor on the follow-up scan.
Days between scans
Calendar days between the two imaging studies.
Project forward (days)
Number of days to project tumor growth forward from the second scan.
Target diameter (mm)
Calculate time to reach this diameter (e.g., surgical threshold).

What each result means

Volume at scan 1 (mm³)
Estimated tumor volume assuming spherical geometry.
Volume at scan 2 (mm³)
Estimated tumor volume at follow-up.
Volume doubling time (days)
Time for tumor volume to double. Negative = tumor is shrinking (halving time).
Specific growth rate (%/day)
Exponential growth rate. Negative indicates tumor regression.
Projected diameter (mm)
Estimated tumor diameter at the projection time point.
Days to target diameter
Estimated time to reach the specified target diameter. Reported as 0 if the target has already been passed, or if growth direction points away from the target (e.g. a shrinking tumor with a target larger than the current size).
Diameter change (%)
RECIST-like percent change in longest diameter between scans.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    First measurement diameter (mm) = 15, Second measurement diameter (mm) = 22, Days between scans = 90, Project forward (days) = 180, Target diameter (mm) = 30 = 5 input(s) provided
  2. Calculate Volume doubling time
    Volume doubling time = daysBetween * ln(2) / ln(V2 / V1)
    54.3 = 54.3
  3. Calculate Specific growth rate
    Specific growth rate = (lnRatio / daysBetween) * 100
    1.277 = 1.277
  4. Calculate Volume at scan 1
    Volume at scan 1 = (4 / 3) * π * r1 * r1 * r1
    1767.1 = 1767.1
  5. Calculate Volume at scan 2
    Volume at scan 2 = (4 / 3) * π * r2 * r2 * r2
    5575.3 = 5575.3

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the number of days between scans matter so much for the doubling time estimate?

Doubling time scales directly with the interval between scans for a given pair of measurements -- the same observed volume ratio stretched over 180 days implies roughly twice the doubling time of the identical ratio measured over 90 days. Because of that direct scaling, an inaccurate scan-interval entry can shift the calculated doubling time by as much as a real difference in tumor size would, so it's worth double-checking the exact calendar days between the two studies rather than approximating.

Why don't the projection window or target diameter change the doubling time itself?

Doubling time is calculated entirely from the two measured diameters and the days between them -- it describes the growth rate that already happened between those two scans. The projection window and target diameter only determine how far forward that same measured growth rate gets extrapolated to estimate a future size or a time-to-target, so they change the projection, not the underlying rate.

Can this calculator show a negative doubling time?

Yes -- if the second measurement is smaller than the first, the calculation returns a negative doubling time, which the tool reports as a halving time for a shrinking tumor rather than a growth interval. This commonly shows up after effective treatment, where serial imaging shows regression instead of progression between two scans.

How reliable is this projection for predicting tumor size months from now?

It assumes growth continues at exactly the same exponential rate measured between the two input scans, which real tumors often don't sustain -- growth rates can slow as a tumor gets very large (Gompertzian kinetics), speed up with dedifferentiation, or change entirely with treatment. Treat the projected value as a rough extrapolation of recent behavior, not a validated prediction, and always re-anchor to actual follow-up imaging rather than relying on the projection alone.

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