Calculators · VDT · pulmonary nodule

Volume doubling time (VDT) calculator

Volume doubling time is the interval between the exams, in days, multiplied by ln 2 and divided by ln(V2 ÷ V1). In the reference ranges, a VDT below 400 days is rapid growth (positive in NELSON), 400 to 600 is indeterminate, and BTS 2015 only discharges with a VDT above 600 days by volumetry.

Example

VDT
154 days
Volume change
+50%

VDT of 154 days (< 400): rapid growth, suspicious range.

Report lineNodule volume from 120 to 180 mm³ in 90 days (+50%). VDT of 154 days (< 400): rapid growth, suspicious range.

Calculation support for physicians. The result does not replace the assessment of the exam or the decision of whoever signs the report. Page published on .

Formula

VDT = interval (days) × ln 2 ÷ ln(V2 ÷ V1)

By mean diameter: V = π/6 × d³ (sphere)

Thresholds

VDTRangeReference
< 400 daysRapid growth, suspicious rangeNELSON: positive
400 to 600 daysIndeterminateNELSON: indeterminate
> 600 daysSlow growthBTS 2015: discharge only with VDT > 600 days by volumetry

What to look for

  • Use the same technique and the same software for both measurements.
  • Volumes estimated as a sphere from the mean diameter; segmented volumetry is more reliable.

Source

VDT = interval x ln 2 / ln(V2/V1) (Schwartz, 1961). Reference ranges: NELSON (VDT < 400 days positive; 400 to 600, indeterminate) and BTS 2015 (discharge only with VDT > 600 days by volumetry).

The same logic runs in the public tool of RadCommons, the Laudos.AI classification corpus.

Questions and answers

How is volume doubling time calculated?

VDT = interval between the exams, in days, × ln 2 ÷ ln(V2 ÷ V1), where V1 is the prior volume and V2 the current one. A nodule that went from 120 to 180 mm³ in 90 days has a VDT of 154 days.

What doubling time is considered suspicious?

In the reference ranges, a VDT below 400 days is rapid growth (positive in the NELSON trial) and 400 to 600 days is indeterminate. BTS 2015 only discharges with a VDT above 600 days by volumetry.

Can I calculate VDT from the diameter?

Yes, by estimating each volume as a sphere from the mean diameter (π/6 × d³). Segmented volumetry is more reliable, and both measurements should use the same technique and the same software.

What if the nodule shrank or did not change?

With a reduction in volume, or with no change, the doubling time does not apply.

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