IMAGE QUALITY · LESSON 27

MRI scan-time equations.

Learn what makes a basic acquisition longer, what makes fast spin echo faster, and when the simple formula stops being enough.

About 16 minutesWorked calculations3 knowledge checks
TRPHASENEXETL
4:16SCAN TIME
01EXPLAIN

THE BASIC CARTESIAN IDEA

Scan time counts how long each repetition takes and how many repetitions are needed.

In a conventional 2D Cartesian spin-echo acquisition, one phase-encoding line is collected during each TR. The basic estimate is:

CONVENTIONAL SPIN ECHOscan time = TR × phase-encoding steps × NEX

Fast spin echo collects several phase-encoding lines after one excitation. For a simple estimate, divide by echo train length:

FAST / TURBO SPIN ECHOscan time ≈ TR × phase steps × NEX ÷ ETL
IN PLAIN LANGUAGETR is the length of one cycle. Phase steps tell how many cycles are needed. NEX repeats them. ETL collects more lines during each cycle.
02VISUALIZE

WORK IT IN SECONDS FIRST

TR 500 ms · 256 phase steps · 2 NEX.

STEP 1500 ms = 0.5 s

Convert TR to seconds.

×
STEP 20.5 × 256 × 2

Multiply TR, phase steps, and NEX.

RESULT256 seconds

4 minutes 16 seconds.

If the same simplified example used FSE with ETL 8, the estimated time would be 256 ÷ 8 = 32 seconds. The scanner may show additional time because real sequences include preparation, calibration, oversampling, dummy cycles, slice packages, acceleration details, and hardware timing.

03CONNECT

WHAT CHANGES THE CLOCK?

Separate direct multipliers from acquisition-specific modifiers.

TR ↑Time increases

Longer cycles generally lengthen a conventional acquisition, though multislice packing and sequence design matter.

PHASE STEPS ↑Time increases

More acquired phase lines generally require more repetitions and improve phase-direction sampling.

NEX ↑Time increases

Twice the averages usually means roughly twice the averaging time, while SNR rises only by √2.

ETL ↑Time decreases

More lines are acquired each TR in FSE, but long trains can change blurring, contrast, SAR, and available slices.

OTHER MODIFIERS

Partial Fourier · parallel imaging · compressed sensing · phase oversampling · number of 3D slice encodes · concatenations or packages · cardiac or respiratory gating · averages by direction · preparation pulses · sequence-specific delays

KNOW WHEN NOT TO USE THE SIMPLE EQUATION

The displayed scan time is the practical authority.

EPI, radial and spiral imaging, 3D acquisitions, simultaneous multislice, gated exams, dynamic imaging, and advanced reconstructions do not always follow the simple 2D formula. Use it to understand direction of change, not to override the scanner or an approved protocol.

04REMEMBER

THE BUS ROUTE

TR is the trip, phase lines are the passengers, and ETL is the number of seats filled per trip.

NEX sends the bus through the route again. A longer trip, more passengers, or more repeats takes longer. Carrying more passengers per trip finishes sooner.

TTime per cycle

TR sets the basic repetition interval.

WWork to complete

Phase encodes and NEX add repetitions.

SSpeed per cycle

ETL collects more lines each TR.

Remember: Time per trip × trips needed ÷ work done per trip.

05APPLY

CHECK YOUR UNDERSTANDING

Predict the direction before calculating.

A basic spin-echo scan uses TR 600 ms, 200 phase steps, and 1 NEX. What is the estimate?

0.6 seconds × 200 × 1 = 120 seconds, or 2 minutes.

If NEX changes from 1 to 2 and everything else stays fixed, what happens?

The averaging portion of scan time approximately doubles. SNR increases by about √2, or 1.41 times.

Why may the scanner time differ from the hand calculation?

The scanner includes the sequence's actual timing, calibration, oversampling, acceleration, slice organization, preparation pulses, gating, and other implementation details that the basic equation leaves out.

LESSON 27 COMPLETE

You can estimate basic scan time and recognize when a fuller model is needed.

Educational references

These formulas are simplified teaching models for basic Cartesian acquisitions. Always use the scanner's calculated time and approved protocol for clinical work.