PSA Velocity Calculator

Calculate the rate of change in PSA over time, along with PSA doubling time — measures of how quickly a value is moving rather than where it currently sits.

👨‍⚕️ Lab Value📐 Velocity = ΔPSA / Δtime; doubling time = ln(2) × Δt / ln(PSA₂/PSA₁)🏥 Health
Earlier PSA (ng/mL)
Later PSA (ng/mL)
Months between the two tests
Third PSA (ng/mL, optional)
Months from first to third test (if using)
Please enter valid values.

Formula & Reference

VariableSymbolFormulaUnits
PSA Velocity Calculator—Velocity = ΔPSA / Δtime; doubling time = ln(2) × Δt / ln(PSA₂/PSA₁)ng/mL per year

Step-by-Step Examples

Example 1
Slow Rise

PSA 3.2 to 3.6 ng/mL over 24 months.

  • Change = 0.4 ng/mL
  • Time = 2.0 years
  • Velocity = 0.4 / 2.0 = 0.20 ng/mL/year
  • Below the 0.75 threshold
✓ 0.20 ng/mL/year — slow rise
Example 2
Rapid Rise

PSA 3.2 to 4.6 ng/mL over 12 months.

  • Change = 1.4 ng/mL
  • Time = 1.0 year
  • Velocity = 1.4 ng/mL/year
  • Doubling time = ln(2) × 1 / ln(4.6/3.2) = 1.91 years
✓ 1.40 ng/mL/year — above threshold
Example 3
Two Points Misleading

PSA 4.0 then 5.1 over 6 months, but the second test followed a recent cycling trip.

  • Apparent velocity = 1.1 / 0.5 = 2.20 ng/mL/year
  • But cycling can transiently elevate PSA
  • A repeat test under standard conditions is needed before interpreting
✓ Velocity unreliable — confounded measurement

Real-World Applications

Common Mistakes to Avoid

⚠️
Calculating velocity from only two values

PSA fluctuates biologically between tests. Guidelines generally recommend at least three values over 18 to 24 months before drawing conclusions from a trend.

⚠️
Ignoring what can spike a single reading

Recent ejaculation, vigorous cycling, urinary tract infection, prostatitis, digital rectal examination, or catheterisation can all raise PSA transiently.

⚠️
Treating 0.75 ng/mL/year as diagnostic

The threshold comes from screening research and has been questioned in subsequent studies. It is a prompt for discussion, not a diagnosis.

Frequently Asked Questions

What is PSA velocity? ▾
The rate at which PSA changes over time, expressed in nanograms per millilitre per year.
What PSA velocity is concerning? ▾
Above 0.75 ng/mL per year is the most commonly cited threshold, though its value as an independent predictor has been debated in the literature.
How many PSA tests do I need for a reliable velocity? ▾
At least three values spanning 18 to 24 months. Two points are heavily influenced by normal biological variation between tests.
What is PSA doubling time? ▾
The time it would take PSA to double at the current rate of change. Short doubling times, particularly under three years, attract more clinical attention.
What can cause a temporary PSA rise? ▾
Recent ejaculation, vigorous cycling, urinary infection, prostatitis, a recent prostate examination, or any urological instrumentation.

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