Sunday, 15 September 2024
My "Alternative to Darzi" report:
Monday, 19 August 2024
The Fantasy Maths of Redirection
Here’s why the potentially risky and unpopular redirection of patients away from A&E is a distracting side show from the real cause of service failure. A long thread with sums. Take a medium sized average A&E seeing 200 patients per day.
50% patients are very unwell or have high risk presentations and need a full history, examination, ECG, X-ray, scans, blood tests, and treatment. This takes approx 120 mins in total of clinical time in a cubicle. Total time = 120 x 100 = 12,000 mins per day.
50% patients need a more focused quicker assessment for less complex, lower risk problems. This takes 20 mins for those that need a test, treatment or X-ray and 10 mins for those that don’t. Assuming 50:50 split: Total time = 50 x 20 + 50 x 10 = 1,500 mins per day.
30% of the all patients (60) need admitted to hospital and wait in A&E for a ward bed occupying a cubicle space. This wait is 60 X B where B is the bed wait in minutes. This is normally 60 mins when beds are available: Total time = 3,600 mins per day.
So in our average department, we need 12,000 + 1,500 + 3,600 mins = 17,100 mins of cubicle space per day with a 1 hour bed wait and no redirection. This works out at 17,100/1440 = 12 staffed cubicles.
If all the patients (25% = 50) who need neither a full assessment nor tests are redirected at the door, we save 10 mins per patient = 500 mins (assuming redirection takes negligible time). This reduces the staffed cubicles needed to 16,600/1440 = 11.5 staffed cubicles.
If instead the average wait for a bed increases due to a doubling of admission delays to 120 mins, the bed wait becomes 60x120= 7,200 mins. We now need 20,700/1440 = 14 cubicles to avoid corridor waits or queues for assessment.
And if those bed delays further increase to average out at 4 hours, we need 60x240 extra cubicle mins which means a requirement for the ED to have 27,900/1440 = 19 staffed cubicles.
So increasing bed delays (which btw add no clinical value and put patients at real risk of harm) from 1 hr to 4 hrs means the necessary ED footprint to avoid crowding and queues increases by 7 cubicles.
Whereas, redirection of every patient not likely to require the services of an ED reduces the necessary ED footprint by less than half a cubicle.
Currently, bed waits can exceed 10 hours. But hey, let’s look over there at a few unfortunate patients who have for a multitude of reasons ended up seeking help from an overcrowded A&E rendered too small by the maths of poor hospital flow.
Wednesday, 3 July 2024
The Laryngoscope is Mightier than the Paperclip
Sunday, 11 February 2024
The Broken Bus: a Public Service Allegory
Once upon a time a bus station in a big city had only one broken bus on an essential route into town where all the services were. It spouted toxic fumes into the cabin and had three loose wheels and a broken back door. Now and again, passengers would die in it because it would crash, they were overcome in the toxic atmosphere, or the back door jammed and they couldn’t get out and asphyxiated. The bus drivers had been saying for 10 years the vehicle would wear out if it continued to be thrashed every day.
They repeatedly contacted their managers about the safety of continuing to drive in it with passengers at high speed. Their managers said they were just poor drivers who just needed to do fewer journeys (like they did in a town far away who liked to speak to the government). Staff often went off sick rather than drive it, and some left for jobs with Uber.
The drivers were fed up and decided to take the bus to an allegedly independent garage who said they would review it. Unfortunately, the garage didn't look at the vehicle - they just asked the managers who said it was fine. The drivers then asked the garage owner to look again properly, and he apologised and said he would do a proper mechanical inspection. Meanwhile, the managers bugged the drivers rest room and threatened disciplinary review of anyone suggesting the vehicle wasn't roadworthy.
The managers finally offered to visit the drivers to understand their issues, despite them being very busy and important people. They explained that they have superior knowledge of driving buses and were very passenger-focused, but that they would make time to visit the bus station to show staff how much they care. The garage report on the vehicle could wait, they said: "We are all one big team that needs to respect each other, and actually fixing a bus is difficult".
The drivers told the managers they would prefer not to meet until they had the garage report. “We believe it needs a new exhaust, a working back door and three new wheels. There is no point in meeting until it is safe to drive again. Then we can meet with you and discuss how we maintain the vehicle and expand the fleet to prevent this problem in the future.”
So the meeting was cancelled, the vehicle was fixed, and passengers arrived safely. The managers were given MBEs for services to transportation and lived happily ever after. The End.