Before you may proceed, you need to make sure first that the flex cable and the LCD is working fine or you have it tried with new replacement installed but nothing happens.
Note: this solution covers only for hardware repair and may not help on software related issues.
Check the flex cable wire for a cut or damaged.
The solution below shows the two display ESD-EMI filter Ic's, these two chips are located below the B2B connector (board to board connector).
This also shows where each certain Display filter solder ball bumps connected to the B2B connector pins.
Nokia 5610 LCD display filter IC line path connection to B2B connector
5610 LCD display jumper ways
Before replacing those display filter IC you may check each of its corresponding line path first for ensuring that all the lines is okay. Make a continuity test from the Filter chips solder ball bumps through to a certain pins on the B2B connector. If all the lines is okay, replace those said chips.
See EMIF10-LCD02F3 for which particular models you may also find that display filter ic chips for replacement.