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 CalculatorVelocity = 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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