A challenge by a third man, whose case was rejected at the High Court on the same day as Mr Nicklinson's, will also be heard today.
The locked-in syndrome sufferer, who cannot be identified for legal reasons but is referred to as "Martin", suffered a massive stroke in August 2008.
He is unable to speak and virtually unable to move, describing his life as "undignified, distressing and intolerable", and wants to be allowed a "dignified suicide".
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From the time three bodies were found at a house in Oxfordshire to when prime murder suspect Jed Allen was found dead in woodland.
Mostly cloudy overnight, but as low pressure systems feed in as the week goes on an unsettled period can be expected.
The hunt for murder suspect Jed Allen has ended after police found his body two days after discovering his mother, stepdad and sister dead.