Ms Al-Adheem appeared in Dublin District Court this morning charged after the death of her son Omar Omran, whose body was found with multiple stab wounds in their apartment in Kimmage on Monday.
The child was pronounced dead at the scene while the child's mother, Maha Al-Adheem, was transferred to St James Hospital that same evening.
A message on flowers at the Riverside apartment complex, Kimmage where Omar's body was discovered.
Detective Sergeant Brendan O'Halloran gave evidence of arrest charge and caution.
Al Adheem is qualified as a doctor in Iraq and Syria, but is not registered to practice in Ireland.
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When copies of the charge sheet were being prepared, Sgt O'Halloran said Ms Al-Adheem said: "Yes, it was my knife".
There was no application for bail and the accused was granted free legal aid.
The woman was arrested by Gardaí on Wednesday morning and will appear before Criminal Courts of Justice, Court Number 3 on Thursday morning at 10.30am.
Ms Al-Adheem nodded to her solicitor when he spoke quietly to her at the end of the proceedings but she did not address the court.
A woman was brought to Crumlin Garda Station yesterday where she was questioned in relation to the homicide.