There is currently no way of repairing spinal cord damage.
Instead treatment usually involves reducing inflammation to the injury site in the hours and days after the person is hurt and rehabilitation to help them regain muscle control in their paralysed body parts.
However, researchers were working towards finding a cure.
"New projects that we have up and running now are based around trying to regrow the connections between neurons that are cut in spinal cord injuries and that's been something that's been out of reach for a while," Clemett told the Weekend Herald.
Robilliard said funding from charities like the CatWalk Spinal Cord Injury Trust was "vital" to scientific endeavour in this field.
"A lot of what we're doing at the Centre for Brain Research and wider spinal cord research involves a lot of new and upcoming techniques and are quite expensive."
The pair have been training for the marathon - their first ever - for about six months and are running between 20km and 30km in an average week.
Their team will wear matching race suits when they compete in the race, which snakes through New York City's five boroughs.
Robilliard hopes to participate in the event every year and would continue to raise money for the CatWalk Spinal Cord Injury Trust.
Clemett said the motto printed on the back of their race suits - "running so that others can walk" - would stick with him.
"I think that's potentially something that is going to have an impact on our life from now on. We can use this thing that we take for granted with running and actually raise a bit of money and make a change for people."
Anyone wanting to contribute to their fundraising effort can donate at:
https://catwalk2017newyorkmarathon.gofundraise.co.nz/page/ConnorClemett0
https://catwalk2017newyorkmarathon.gofundraise.co.nz/page/LaverneRobilliard