Hi Maya
I don't know of any research, but I have personal experience of this.
My husband John had a severe UTI almost two years ago. As a result he lost all balance, and hence mobility. He became doubly incontinent, where he was borderline urine-incontinent, faeces-continent prior to the infection. And his speech, which was very poor beforehand, went completely.
As a result he was transferred directly from hospital to an EMI unit, where he still is.
It's only the mobility problem keeping him there, he's otherwise fit, and prior to the infection used to walk a mile twice a day.