Hearts head coach Wouter Vrancken is asked how he accounts for another heavy defeat.

"I can't explain," he admits to BBC Radio Scotland. "It was just an embarrassment in the first half, simple as that, how easy it was for Falkirk to score their goals.

"It's crazy and we said at half time, with the run of games, you have to have some pride in these moments."

Vrancken made changes at half time and says: "When the youngsters came in, it increased the level and you maybe expect the other players to have that personality and leadership to do this.

"So the second half was better, but the first half was a disgrace.

It can be confidence, or it can be fatigue, but individual mistakes are difficult to prevent."

Asked what can be done to reverse Hearts' poor run of results, Vrancken adds: "Hopefully we get some bodies back, some tactical awareness back with players who were performing well before.

"You need a bit of rotation because you need some rest.

"The biggest responsibility is always with the coach, but today was just too much doubt in decision making."

Image source, SNS

That's 48 goals in Hearts' 12 league games - by far the biggest aggregate of all the teams.

Celtic manager Martin O'Neill tells BBC Scotland: "It was a really tough afternoon for us. Kilmarnock had a really good game plan and we couldn't get the second goal to kill the game off.

"I thought we were getting a little bit tired and the penalty would see us through. As it turns out, we miss and that gives Kilmarnock a lift.

"Overall, just delighted to have won."

On Kasper Hogh's goal drought continuing after an early effort was disallowed.

"I thought he'd got the goal, then it's chalked off. A couple of minutes later he's got a chance and I think if the first one had counted, he gets the second. It's just a little lack of confidence in front of goal but he worked exceptionally hard for us."

Celtic boss Martin O'Neill has now won 21 games against Kilmarnock, with one draw and one defeat.

Image source, SNS

Statistics from their stunning defeat by Falkirk point to Hearts' problems being in defence.

They have now gone four games without a win - and have one victory in their last eight outings.

Yet they have scored in all 20 of their latest league games - their longest run since the Premier League became the Premiership in 2014.

Rangers are the only other side to have scored in all 12 Premiership games this season.

Winger Josh McPake has assisted six goals in the top flight this season (one in this game) - and no player has more.

Meanwhile, striker Claudio Braga has scored in each of his last three league games and now has six in total.

Despite all that, head coach Wouter Vrancken is currently having to defend his side's lack of victories.

James McFadden
Former Scotland forward on BBC Sportsound

Kilmarnock had two brilliant chances, one at the start and one at the end.

In between, Celtic were comfortable.

If they score the penalty, they might have got a few more.

Scott Allan
Former Celtic midfielder on BBC Sportsound

Kasper Hogh worked hard and you saw in flashes that he's maybe picking up a bit, but Celtic are a better side with Camilo Duran through the middle.

As mentioned already, Falkirk have won five games in a row now - their longest winning streak in the Premiership.

Scoring in each of their last 11 games is also their longest run in the competition.

Seven of their goals this season have come from Jacob Murrell, who grabbed a double against Hearts today.

No player has more in the Premiership this season than the 22-year-old who signed from DC United this summer.

Image source, SNS

Celtic move four points clear at the top of the Scottish Premiership going into the latest international break.

The champions made all of the running in the second half but could not add to Liam Scales' goal.

Benjamin Nygren's missed penalty was a momentum killer and bottom-of-the-table Kilmarnock might have snatched a point right at the end.

Image source, SNS

Deep into stoppage time and it's all a bit scrappy from Celtic now as they keep going long and the ball keeps coming back.

Centre-half Liam Henderson was one of Falkirk's scorers against Hearts and tells BBC Scotland: "We know what it’s like to come to Tynecastle, so to score five goals is incredible.

"It’s always a good test here and it’s hard to get goals, even win, but the boys were brilliant and finished the game off in the first half.

“We’ve now got a good team spirit, a togetherness, and a will to work hard for your team-mates and we now have a ruthlessness up front as well.

“We’re breaking records this season and creating some history this season. A lot of pundits and fans were saying we weren’t the team we were last year.

"We know there is a long way to go, but we’ll keep our head down and look to keep our foot on the floor.

"[Manager John McGlynn] is massive to us. His knowledge, his detail. He’s so detailed in everything he does and it helps us massively

"I don’t score too many, but when I do, they’re always good goals."

Image source, SNS

Was that Killie's big chance to find a leveller?

Erik Ring fires in a great low delivery and Ieuan Owen is inches away from knocking it in.

Was John Beaton thinking about a second yellow card for Yang Hyun-jun?

The referee's hand was going towards his pocket before a change of heart.

Kilmarnock boss Neil McCann is going nuts!

That must the last change for Killie as Erik Ring slots in for Cathal McCarthy at the back.

Falkirk have scored five goals at Tynecastle for the first time since season 1916-17, according to our reporter, Brian McLauchlin.

In response, manager John McGlynn says: "It's 31 years since Jim Jefferies team went five wins in a row and we're delighted to equal that.

"After the international break, we are against St Johnstone, who are a very good side, but we'd hope to make it six.

"We are obviously delighted with the players - they've been fantastic."

Asked about the prospect of qualifying for Europe, McGlynn adds: "It is striking a balance without getting carried away and not playing it down too much.

"Winning five games in a row, you've obviously got something about you. We want it to continue because we're enjoying this.

"But we're only 13 games in. There's a long way to go, so we've got to keep our feet on the ground and enjoy seeing our team third in the league when it comes on the TV."

A big 'ooooh' from the crowd as James Forrest dips a shoulder and lets fly with a rising shot that is not far away.

More Celtic changes as Alex Oxlaide-Chamberlain and Dane Murray come on for the limping Mika Baur and Kieran Tierney.

Aaron Tshibola takes the ball off the toes of Mika Baur in front of the Kilmarnock goal.

The Celtic midfielder is in pain and getting some treatment after the challenge.

Celtic make a midfield change as Luke McCowan comes on for Benjamin Nygren.

Frustration from Yang Hyun-jun as he hacks down Michael Schjonning-Larsen moments after being upended by the Kilmarnock full-back.

The Celtic winger thinks he should have had a foul in his favour - and he might be right.