Paralysed Paul Lamb and the family of the late Tony Nicklinson will appeal their unsuccessful challenges on the illegality of assisted suicide at the High Court.
The Lord Chief Justice, Lord Judge, and two other judges will hear the challenges today in the Court of Appeal.
Mr Nicklinson, 58, who suffered from locked-in syndrome, died on August 22 last year days after losing a landmark High Court right-to-die case.
Fifty-eight-year-old Paul Lamb, from Leeds, has joined forces with the family of Mr Nicklinson, who died in 2012, severely injured in a car accident in 1990, Mr Lamb no function in any of his limbs apart from a little movement in his right hand.
More top news
US-backed Iraqi forces pushed deeper into western Mosul as they continue their fight to re-capture the city from so-called Islamic State.
British director David Mackenzie warned against the "politicising" of award ceremonies ahead of Sunday's event.
The suspect in the death of North Korean leader Kim Jong-un's half brother was paid $90 to help carry out what she thought was a "prank".