He said Roxanne's focus on health was a godsend and a lesson for him and other men who took a more blase approach to health issues.
The 65-year-old believes maintaining fitness and a reasonably healthy lifestyle had also helped, but nothing, including training for the Olympics, had prepared him to fight for his life.
Doctors have told him the prognosis is good and he hopes to have had the all-clear by this time next year.
Mr Quax said he was fortunate to be re-elected unopposed for his Howick ward seat on the Auckland Council, which meant he did not have to fight an election campaign while receiving treatment.
Mr Quax, with John Walker and Rod Dixon, was one of New Zealand's leading distance runners of the 1970s.
In the 1976 Olympic 5000m final, which also included Rod Dixon, he was beaten by a stride in a dramatic last lap by Lasse Viren, of Finland.
He and Walker both made the move to politics, becoming Auckland councillors after stints as councillors on the former Manukau City Council. Mr Quax missed out at the first Super City elections in 2010, but was elected in a byelection after Jami-Lee Ross resigned to become an MP.
He stood for Parliament for Act in 1999 and 2002. In 2007 he was beaten by Len Brown for the Manukau mayoralty.
His family came to New Zealand from the Netherlands in 1954.
Dick Quax
Full name: Theodorus Jacobus Leonardus Quax
Age: 65
Born: Alkmaar, Netherlands
Athletic highlights
1970: Commonwealth Games at Edinburgh, 1500m silver medallist
1976: Olympic Games at Montreal, 5000m silver medallist
1977: Set world record of 13min 12.9secs for 5000m in Stockholm
Political career
* Manukau City councillor 2001-2010
* Auckland councillor 2011-present.