"We are releasing very little information at this time, because it is an intense ongoing investigation," Lt. Tony Lee tells PEOPLE. "Our first priority is in gaining a conviction."
Beverly Hills Police Sgt. Renato Moreno told the Associated Press that Ruffalo, 39, died at Cedars-Sinai Medical Center in Los Angeles, one week after Ruffalo was shot inside his Beverly Hills condo.
Shaha Mishaal Adham, 26, turned herself in to authorities Monday after Beverly Hills police issued an attempted murder warrant for her arrest.
She is being held without bail, and the attempted murder charge is being upped to murder, PEOPLE has learned.
Adham's friend, Brian Burton Scofield, 29, who had been named as "a person of interest" in the case, also arrived at the police station with Adham and was booked for a misdemeanor traffic warrant for past violations – but was released on Tuesday, police tell PEOPLE.
Arraignment Coming SoonAdham's arraignment is expected to be scheduled soon.
A well-known hairdresser who worked in salons such as Kenneth George in Santa Monica and Giuseppe Franco in Beverly Hills, Scott Ruffalo had held a California state cosmetology license since 1991.
Like his brother Mark, Scott was born in Kenosha, Wis., before moving with his family to San Diego. There has been no comment from Mark Ruffalo, 41, about his brother since the tragic incident last week.
Scott Ruffalo was married to Luzelena Ruffalo, and was stepfather to her daughter, Lucinda.
His death was first reported by TMZ.
Beverly Hills Police Department