I think it depends on the structure of the kryptonian cell, how it functions and how much solar energy it can store. Logically, a man who is genetically immune to everything on earth (except to kryptonite radiation) should not age. Senescence, at least as we know it, should not exist for Superman.
BTW aging is not universal. A number of complex species such as lobsters, rockfishes, some tortoises, etc. do not appear to age. Therefore, aging is not a prerequisite to life. Aging is neither inevitable nor universal.
In the Batman/Superman Comics, an older version of Superman goes back in time and fights the younger Superman. The older Superman was stronger due to the fact he had been under a yellow sun for more years yet he looked older. Does this mean superman will be stronger when he's an old man in a nursing home? I don't quite understand the correlation.