A man in his 30s has been arrested on suspicion of the murder of Ashling Murphy.
He had been treated in a Dublin hospital since last Thursday - after suffering self-inflicted injuries.
The 23-year-old victim was killed last Wednesday while out for a run at a canal bank near Tullamore, Co Offaly.
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John Hand, the chief reporter with the Irish Daily Mirror, says gardai made the arrest earlier today.