Police have been given more time to question a man over the disappearance of Libby Squire – as her mother expressed her pain at "one week without her".
A 24-year-old man was held on suspicion of abduction on Wednesday as police continue to search for the 21-year-old student.
The address in Hull where the man was arrested is around half a mile from Ms Squire’s home.
Humberside Police said a senior officer had been granted permission for further detention of the man in custody on Friday.
A spokeswoman said Ms Squire has still not been found.
Her mother Lisa posted a message on Facebook today along with two crying emojis to mark a week since her daughter’s disappearance.
The University of Hull student was last seen by friends when she got in a taxi outside the Welly nightclub in central Hull at 11pm on Thursday 31 January.
She had been dropped off in a cab near her home on Wellesley Avenue at around 11:29pm.
The philosophy student was seen for the final time 10 minutes later on CCTV close to a bench on nearby Beverely Road, where a driver stopped to offer her help.
Officers have said the motorist has been in touch with them and he has been ruled out as a suspect.
A neighbour, who did not want to be named, said she had heard an urgent, panicked scream outside her house at around 12.30am.
The woman, who lives near Miss Squire’s home, said the area is populated by students who make a lot of noise any day of the week.
Ms Squire was reported missing from the city in the early hours of Friday 1 February, and an intensive search has been mounted by police and volunteers over the last week.
Police have handed out leaflets and driven a media van around the city centre featuring images of the missing student.
Officers said more than 50 student volunteers had joined their efforts by helping to give out flyers.
Ms Squire’s parents Russell and Lisa, from High Wycombe, Buckinghamshire, issued an emotional plea on Monday for anyone with information to come forward.
Mrs Squire said: Libby, my darling pie, we just want to know that you are safe.
Please get in touch with us any way you can.
The whole family is missing you, especially me and your dad, your sisters and your brother.
I miss you so much it’s breaking my heart not knowing where you are.
I love you.
Ms Squire also has two younger sisters and a younger brother.