As they were both at Cambridge University it might be worth contacting them to see what they know.
Nikolay Andreyev according to his obituary in The Times had two sons and a daughter who survived him. Can't mention names as they are probably still living, birth notices in The Times in 1955, 1959 and 1962. His mother may have been in England as well as there is a death notice in The Times Feb 28 1961 for an Ekaterina Aleksandrovna ANDREYEV on Feb 24 1961 at Cambridge aged 77.
A death notice and obituary for Abram Samoilovitch Besicovitch appeared in The Times as well, but the death notice said the funeral was private. No mentioned of burial. He married in 1928 but no mention of any family.
Ian C
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Thank you for your reply. we have contacted the University and are waiting for the reply. As tese boards provided us with great advice before, we are hoping to strike luck again.