Thanks, Webworking. I took your advice and, whilst still waiting for an response from Toshiba, telephoned John Lewis Technical Support. Their advice was to try three things:
1. Download and install a BIOS update.
2. Blow compressed air into the vents.
3. Back up all data and do a factory re-set. If this fails, they will take in the laptop for investigation and repair under warranty.
I have done (1), found two items and downloaded them both, then tried to install them. I received the following messages:
TC501756001 – "This BIOS is not for your notebook PC. Version of ROM file is same as that of BIOS"
TC50179300F – "Version of ROM file is same as that of BIOS"
So it seems that my BIOS is up to date.
I'll find a compressed air can tomorrow and try (2).
If no improvement, it will have to be (3), which will be a little inconvenient and time consuming but, I'm afraid, necessary.