Full-time: Celtic 5-1 Rangers
- Dembele gives the hosts the lead from a header.
- The striker adds a second after a brilliant solo effort.
- Garner gives Rangers a lifeline from close range.
- Sinclair scores after good work by Dembele to fashion a chance.
- Dembele completes his hat-trick late on.
- Armstrong seals a one-sided win.
So, what a day for the hosts - Brendan Rodgers and Dembele have enjoyed a 90 minutes to remember.
Thanks for joining our live blog.
GOAL: Celtic 5-1 Rangers (Armstrong)
Celtic are in heaven; Rangers are in hell.
Armstrong makes it 5-1 to the Celts, finishing with style from Tierney's cutback. What a way for the hosts to cap their victory.
Moussa Dembele was booked for celebrating his hat-trick, by the way. It's not a surprise, but it is pathetic.
GOAL: Celtic 4-1 Rangers (Dembele)
The Frenchman has done it! Moussa Dembele gets on the end of a clipped ball from Mikael Lustig and writes his own piece of history in this iconic fixture.
What a performance from the youngster - and what a day for Celtic fans!
Can Celtic find another goal? Can Rangers some how drag themselves back into? There's not much time left to make a final impression.
Now Roberts drags a shot wide from 20 yards as Celtic look to underline their dominance.
Celtic dominated before Senderos' sending off and are sure to dominate even more now. It could be a question of how many they can get.
To make matters worse, Rangers assistant manager David Weir is sent to the stands.
Red card (Senderos)
What a derby day to forget for Senderos, who picks up a second yellow for a deliberate handball. That was brainless.
Celtic Park is loving this; Rangers don't have any centre-backs on the pitch and this could get ugly for them.
Celtic make a change too, with Scott Brown getting a huge ovation as he is replaced by McGregor.
Brown was relishing his reception, you could see.
Another sub for Gers. Looks like they're switching to a back three. Time is ticking away for them, though.
Celtic Park is bathed in sunshine for the moment and the Celtic fans are loving life at the moment. The hosts are in total control and Dembele is eagerly hunting a hat-trick to cap a brilliant individual performance.
Remember, no player has scored a hat-trick in an Old Firm match since Ally McCoist in the 1983/84 League Cup Final.
Rangers have less than 25 minutes to drag themselves back into the game. Can they do it? The signs don't look good, in all honesty.
To make matters worse for Gers, Senderos goes into the book now. He is another Rangers playing who will need to be careful of picking up a second booking.
GOAL: Celtic 3-1 Rangers (Sinclair)
Sinclair nets Celtic's third - and that could be that!
Dembele bulldozes his way through the middle and finds Sinclair, who then finds the back of the net off the inside of the post.
Have Rangers got anything left now?
Bitton requires treatment after going down under a heavy challenge. He will soldier on, though.
Rangers have started this half better, clearly encouraged by their goal late in the first period, when it seemed they doomed to defeat.
They are enjoying a bit more of the game and are looking for that goal to draw them level.
Forrest's curling shot is saved after Armstrong drives through the middle and picks him out.
This game is on a knife edge at Celtic Park - but the hosts must think that if they score the next goal, they will go on to win.
McKay fires a shot wide of the goal after getting on the end of the Tavernier cross. An encouraging sign, that, for the away side as they seek an equaliser.
Another change for Gers...
Neither Celtic or Rangers have kept a clean sheet in the Scottish Premiership this season, and you can see more goals coming over the next 30-odd minutes. But for who?
A booking early in the second-half. Kolo Toure sees yellow for a foul on Garner.
Rangers have made a predictable change at the break.
Back under way in Glasgow. Celtic lead 2-1 and will be confident of sealing three points over the next 45 minutes.
Rangers got a lifeline in the last few seconds of the first period - but they'll need to offer more as an attacking threat in this second half.
Half-time: Celtic 2-1 Rangers
It was a quiet opening to the match, but it really came to life towards half-time. Celtic certainly deserve to lead, though Rangers are certainly still in the contest.