Lung Nodule Growth Rate Calculator

Enter the diameters from two CT scans and the time between them to calculate the nodule's volume doubling time (VDT) using the standard spherical-volume formula.

Quick Facts

Formula
VDT = t x ln(2) / (3 x ln(d2/d1))
Schwartz doubling-time formula, assuming a spherical nodule where volume is proportional to diameter cubed.
Reference bands
<400 / 400-720 / >720 days
Commonly taught cutoffs for concerning, indeterminate, and likely-benign growth rates.

Your Results

Calculated
Volume doubling time
-
Days for nodule volume to double
Volume change
-
Estimated % change over interval
Diameter change
-
Measured % change over interval
Growth category
-
Based on doubling-time bands

Ready

Enter both diameters and the scan interval, then calculate the doubling time.

About the Lung Nodule Growth Rate Calculator

When a pulmonary nodule shows up on two CT scans, radiologists compare the diameters to judge whether it is growing, shrinking, or unchanged. Because a small nodule is close to spherical, its volume scales with the cube of its diameter - so a modest increase in diameter can represent a much larger increase in volume. This calculator applies the standard Schwartz volume doubling time (VDT) formula to two diameter measurements and the interval between scans to estimate how quickly the nodule's volume is changing.

The formula

Assuming a spherical nodule, volume V is proportional to diameter d cubed. If V1 and V2 are the estimated volumes at the first and second scan and t is the number of days between them, the volume doubling time is:

VDT = t x ln(2) / ln(V2/V1) = t x ln(2) / (3 x ln(d2/d1))

A shorter VDT means the nodule's volume is doubling faster - it is growing quickly. A longer VDT means slower growth. If the two diameters are equal, no growth is detectable over that interval; if the follow-up diameter is smaller, the calculator reports apparent regression rather than a doubling time.

Interpreting the doubling time

Teaching thresholds commonly cited in radiology: a VDT under about 400 days is considered concerning and more suggestive of a malignant process; 400 to 720 days is indeterminate and usually prompts continued short-interval imaging; longer than roughly 720 days (about two years) is traditionally associated with a benign, slow-growing process. These are population-derived bands, not a diagnosis for any one nodule - subsolid (ground-glass) nodules in particular can grow very slowly yet still be malignant, so the classic two-year-stability rule is applied more cautiously to them.

Getting accurate inputs

  • Use the same measurement plane and technique on both scans - ideally the same greatest-diameter value recorded by the radiologist, on comparable slice thickness.
  • Enter the true interval between the two scans rather than a rounded estimate; a few weeks of error can noticeably shift the doubling time for closely spaced scans.
  • Small nodules are harder to measure precisely - a 1 mm difference on a 5 mm nodule is a much larger relative change than the same difference on a 20 mm nodule.

When to consult a professional

This calculator performs the standard doubling-time arithmetic; it does not diagnose, stage, or recommend a management pathway. Nodule follow-up intervals and biopsy decisions should follow your radiologist's or pulmonologist's assessment, which weighs nodule density, shape, location, and your personal risk factors alongside the growth rate.

Frequently Asked Questions

What formula does this calculator use?
It uses the Schwartz volume doubling time (VDT) formula. Assuming a spherical nodule, volume is proportional to diameter cubed, so VDT = t x ln(2) / (3 x ln(d2/d1)), where d1 and d2 are the diameters at the first and second scan and t is the number of days between them.
What does volume doubling time (VDT) mean for a lung nodule?
VDT is the estimated number of days it would take for the nodule's volume to double at its current growth rate. Shorter doubling times mean faster growth. Teaching thresholds commonly cited in radiology are under 400 days as concerning, 400 to 720 days as indeterminate, and over 720 days as more consistent with a benign, slow-growing process.
What are the limitations of this calculation?
The formula assumes a perfectly spherical nodule and depends heavily on measurement precision, especially for small nodules where a 1 millimeter difference is a large relative change. It does not apply well to irregular or subsolid ground-glass nodules, and it is not a diagnosis. Nodule follow-up decisions should be made with a radiologist or pulmonologist.