Sarner won the brief following a competitive tender at the beginning of the year and will complete the work ahead of a planned opening on 20 February 2011.
"The brief was to create an immersive experience based on the popular TV programme that would capture and celebrate the essence of Doctor Who," said BBC Worldwide head of exhibitions and events Paula Al-Lach.
The main element of the exhibition will be an "immersive timed dark walk experience" where visitors will become involved in their very own Doctor Who adventure.
"Our idea was to put the visitor into a Doctor Who adventure and to achieve this mission," said Sarner creative director Michael Bennett.
"The Doctor Who Experience is set to take exhibitions to another level for BBC Worldwide and has been designed to appeal to everyone, across the ages, regardless of how much they know about the history of Doctor Who."
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