A convicted killer claims he had a "disease of the mind" when he murdered a Christchurch sex worker and that he's a victim of a miscarriage of justice.

Sainey Marong was found guilty of murdering Renee Duckmanton after a High Court jury trial in February.

The 33-year-old Gambian butcher was jailed for life with a minimum non-parole period of 18 years.

He filed an appeal against his conviction in May and today represented himself at a Court of Appeal hearing in Christchurch, while members of Duckmanton's family watched from the public gallery.

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Representing himself and speaking in the third person, Marong said he was diagnosed with adjustment disorder and put on medication after his arrest.

He believes that his trial wasn't transparent and that he has been the victim of a miscarriage of justice.

Marong argued that he suffered a combination of mental and physical impairments, and that he couldn't communicate adequately with his lawyer.

After his arrest, he was diagnosed with adjustment disorder, he claimed.

Justice Forrest Miller pointed out that two witnesses in his trial were very clear that he wasn't insane.

Marong claimed they were wrong and that his "medical impairment" was caused by a lack of medical treatment.

He said he posed a serious danger towards himself due to a lack of diabetic treatment, while also claiming he suffered from kidney failure before the killing.

A psychiatrist and a psychologist, who both assessed Marong before he stood trial, concluded that he did not meet the criteria for a defence of insanity.

Mark Lillico, representing the Crown, said all of the expert evidence said Marong fell below the threshold.

During his murder trial, Marong admitted strangling Duckmanton in May 2016 after picking her up from the city's red-light district, before dumping her body on a country roadside and setting it on fire.

But he denied that he meant to kill her, and had no murderous intent, claiming he was insane at the time, suffering mental impairment and delusional, psychotic thoughts which began after voluntarily stopping his insulin medication early in 2016.

The jury, however, sided with the Crown and its "overwhelming" evidence, dismissing Marong's claims that he had been "disconnected from reality" at the time he killed Duckmanton, and that from May 6-17, he was poisoned by kidney failure that resulted in urine "travelling in my brain".

The Court of Appeal judges today reserved their decision.