FOLLOWING CHANGE OF DEP RWY ASSIGNMENT; FLT CREW OF E140 FAIL TO FOLLOW TRACK OF RWY TRANSITION PORTION OF RNAV SID PROC FROM DFW.

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WE TAXIED OUT PREPARED TO DEPART RWY 35L AND WERE ASSIGNED INSTRUCTIONS TO RWY 36R. AFTER SECOND ENG START; WE CONTACTED QUEUE WITH RWY LOADED AND FIRST DEP FIX. I KNOW THAT I HAD BROUGHT UP THOSE ON MY SCREEN FOR VIEWING BUT CANNOT RECALL IF THE FO HAD DONE THE SAME. WE GOT A CORRECT READING OF THE DEP WAYPOINT AND RWY TO QUEUE; BUT ON SELECTION OF LNAV WHEN AIRBORNE; THE ACFT HEADED IN THE DIRECTION OF THE RWY 35L DEP CORRIDOR. WE WERE ALERTED TO SUCH BY THE LARGE BANK ANGLE IN THAT DIRECTION AND BY ATC SOUNDING CONCERNED. THEY ALMOST IMMEDIATELY GAVE US A HDG TO FOLLOW. THE FO CLICKED OFF (DE-SELECTED) THE AUTOPLT AND HEADED IN THAT DIRECTION. THE ATC CTLR GAVE US SEVERAL VECTORS BACK TO THE DEP FIX AND WE CLEANED UP THE ACFT. FO CLAIMED TO HAVE IT IN THE COMPUTER CORRECTLY; AND I CANNOT CONFIRM THAT. I CAN CONFIRM THAT OFTEN AND INCLUDING THIS FLT; THE DEP FIXES ARE DEPICTED ON THE MFD SCREEN; BUT WHEN SELECTING FPL AND DEP SCREEN; THE SID LINE IS BLANK; EVEN THOUGH WAYPOINTS SEEM TO EXIST IN THE FPL PAGE AND ARE DISPLAYED. I BELIEVE THE EVENT OCCURRED BECAUSE BOTH PLTS DID NOT CONSULT THEIR LOADED WAYPOINT WHEN ASKED BY QUEUE FOR THE PROPER RWY AND FIX. HAVING BROUGHT THEM UP ON MY SCREEN PROBABLY LED THE PF TO BELIEVE THAT THEY WERE CORRECT ON HIS. I HAD UPDATED MY RWY DURING TAXI AND HAD THE CORRECT ONE LOADED. I BELIEVE THAT BRINGING UP MY SCREEN WHEN WE WERE TALKING TO QUEUE ACTUALLY LED THE FO TO BELIEVE THAT HE ALSO HAD THE CORRECT ONE IN HIS COMPUTER. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR ADVISED THAT THE DUAL FMC SYS ON HIS ACFT ARE INDEPENDENT AND EACH MUST BE PROGRAMMED TO AGREE WITH THEIR ATC CLRNC. HE FEELS IT WAS POSSIBLE THAT ONLY HIS DATA; WHICH WAS CORRECT; WAS CHKED DURING THE QUEUE CHK PROC PRIOR TO TKOF.