Toilet brushes should really be banned on public health grounds.
Today’s invention is an alternative.
It takes the form of a directable nozzle fitted within the toilet bowl.
After an initial sluice from the cistern, as nornmal, this nozzle directs subsequent water flows to clean up the toilet locally, using a rollerball-type mouse on the cistern. Obviously, this would be impregnated with antibacterial agent.
A luxury version of the idea would be steerable, completely hands-off, using one’s smartphone.