The man remains in hospital.
Gardai investigating the murder of Ashling Murphy are still waiting to speak to their main suspect.
The Garda investigation is focused heavily on a man being treated for a variety of wounds in a Dublin hospital.
His DNA was being cross-checked against a DNA profile taken from the crime scene and forensic evidence on a mountain bike found there and believed to have been used by the killer.
The 23 year old primary school teacher was killed while jogging along the Grand Canal in Tullamore, Co. Offaly last Wednesday.
Garda divers are still searching the canal to find any weapon that might have been used in the attack.
The suspect for Ms Murphy’s murder, who has a partner and children, has been in hospital since last Thursday night.
He had sustained a mix of wounds, some of which are believed to be self-inflicted and serious.
The suspect must also be mentally assessed before being interviewed and it was unclear last night when those checks would be completed.
Conor Lally, crime and security editor with the Irish Times, says the man in hospital is the key focus of the investigation:

€239k For Clane Playground As Kildare Secures Funding For Just Two Projects
Minister’s Letter: DART+ South West Entirely Dependent On Successful Delivery Of DART+ West
Kfm Weekend Obituary Notices
Two Men Charged In Connection With €4 Million Cocaine Seizure In Kildare And Wexford
Driving Testers At RSA Balloted For Industrial Action Over Concerns About Uninsured Vehicles
Homes Undelivered After Substantial Deposits Paid, Kildare Council Warns Of Potential Unauthorised Works
Over 1,000 E-Scooter Fines Issued As Kildare TD Calls For Tougher Penalties After Child Injured
Celbridge "Affordable" Homes Come With Council Equity Stakes