Bournemouth enjoyed the best of the opening period and took a well-deserved lead through Callum Wilson’s acrobatic strike after 24 minutes.
But the home side were rocked when Mings was left writhing in agony after a collision with Leicester’s Danny Drinkwater just five minutes into his debut.
The 22-year-old defender, an £8million summer arrival from Ipswich, immediately signalled to the bench that he could not continue and received gas and air before he was carried off on a stretcher.
Max Gradel’s afternoon also ended prematurely following what appeared to be an innocuous challenge from Ritchie de Laet, while Charlie Daniels was withdrawn at the interval with a knee injury.
“It is quite strange that you see players go off in that manner in the same position, the same side of the pitch,” Howe said.
“It restricted us tactically and also from the guys’ perspective to see their team-mate stretchered off. They are so tight here that it is a difficult one psychologically to handle.
“Tyrone didn’t look good and seeing him in that much pain isn’t nice to see, and Max also knew pretty early that he had a serious one there and any knee injury is worrying so concerns for all three players tonight.”
Mings, who was not taken to hospital, tweeted “If carlsberg did debuts, it definitely wouldn’t go like this! Thankyou for all your kind messages #afcb and #itfc”
Bournemouth were on course to seal back-to-back Premier League wins – following their 4-3 triumph at West Ham – and their first at Dean Court in the top flight.
But Jamie Vardy equalised from the penalty spot with just four minutes left after he was upended by Steve Cook.
Vardy could count himself unfortunate not to earn another spot-kick after he appeared to be fouled by Tommy Elphick in a frantic finale. But Leicester boss Claudio Ranieri was happy to leave the south coast with a point.
“In the second half we showed good spirit and character. In the end I am very pleased with the draw and I am sure we deserved it,” he said.
Drawing on his half-time team-talk, Ranieri added: “I said to them it is not important the result, it is important how you play and your character. I want my players to show the fighting spirit, the gladiator.
“You can lose, but you have to fight for every moment. I said it is not important if Bournemouth score the second, the third, it is important how you leave the pitch at the end of the match and they turned in a very good performance.”
The Leicester manager was also complimentary of Howe and his Bournemouth side, who have four points from as many matches.
He said: “The manager is doing very well job and I told him before the match. They play like an orchestra, all the movement. They are very well organised.”