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Closures will be in place on the Aston Expressway, Park Circus and Salford Circus. There will be some full weekend closures and diversions.
West Midlands Police have said specially trained police negotiators are speaking with the woman to try and talk her down to safety.
Toby Perkins, the MP for Chesterfield, has resigned as shadow armed forces minister saying the Labour Party "needs a change at the top".