A doctor who was murdered in her car on her driveway died in a "frenzied attack", according to detectives.
Dr Anyetei was found murdered in her car on her driveway
Dr Victoria Anyetei, 53, a consultant paediatrician at St Thomas's Hospital in London, was stabbed to death on her driveway in Teynham Road, Dartford.
Kent Police also revealed that a car horn was sounded at about 0730 BST on the day Dr Anyetei was killed.
Hundreds of leaflets are being handed out to people in Dartford to try to prompt witnesses to come forward.
Police say the attack motive is unclear but the killer may be a former patient or an aggrieved parent of a patient.
A team of 20 officers are following a number of lines of inquiry.
Det Ch Insp Anne Brittain said: "We have witnesses who say they remember a car horn sounding at around 0730 BST. It is possible this is linked to the murder of Dr Anyetei.
"The horn may have been sounded during a struggle with her killer, or she tried to raise the alarm."
She added: "Either the attack was targeted or it was a random attack and Dr Anyetei was in the wrong place at the wrong time.
"What was this person doing in that particular cul-de-sac? Does the killer have a connection with that area or was the doctor being targeted specifically?"
Officers believe Dr Anyetei's killer would have been covered with blood after the attack.
They are appealing to anyone who saw anything untoward in Teynham Road, Whitfield Crescent or Watling Street on Tuesday morning, between 0700 BST and 1030 BST.
Dr Anyetei left home for work at 0800 BST and was found by her 19-year-old son at 1020 BST.
It is believed the killer may have lain in wait in her car, a silver Toyota Avensis.
Det Ch Insp Brittain in the Dr Anyetei murder hunt incident room
The doctor's family paid tribute on Thursday to a "dedicated mother and loving sister".
In a statement they said: "We are very shocked and upset and feel a great loss.
"She was loved deeply by all of us and will be terribly missed."
Her son and another young relative who lives with them are being cared for by relatives in Essex.
The doctor's younger brother, Gilbert Anyetei, is travelling at the weekend from South Africa, where he lives, to be with the rest of the family.
He said he had last seen Dr Anyetei in July, when he was in England for a family wedding.
Divorcee Dr Anyetei was a devout Christian from Ghana, where her former husband lives.