No10 update on PM's condition: he is not letting up, and refusing to hand over command. Still doing his red box in his hospital bed, in regular contact with No10 and ministers, and "remains in charge of the Government”. Unclear whether he is ignoring medical advice to do this.

On PM's precise medical condition: No10 remaining quite tight-lipped. Wouldn't deny report he was given oxygen, but insist symptoms remain "a temperature and a cough" and are persistent. He is staying in hospital until further notice, "under observation".

No10 confirmed he is in St Thomas's Hospital, and surrounded by his full security detail. He is following all usual guidance, which means he would be unable to have visitors. It's very stoic and Churchillian, but is it wise for his own recovery?