Integration parameters were crucial to the proper operation of a transporter. Without their proper calibration, transportation was impossible.

When trying to rescue Cyrano Jones from Koloth in 2269, Scotty was temporarily unable to re-materialize the trader in the USS Enterprise's transporter room because the Klingon's phaser attack on Jones' ship had somehow "decalibrated the integration parameters". (TAS: "More Tribbles, More Troubles")

The relationship between integration parameters and the integration matrix, if any, was never explored in any canon source.

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