Thus, a highly-accurate automatic fall detection system is likely to be a significant part of the living environment for the elderly to expedite and improve the medical care provided while allowing people to retain autonomy for longer.
The above is the long sentence.
(1) what's the meaning of 'expedite' here?
(2) 'and improve the medical care', what's it before 'and'? I mean which part is and to 'improve the medical care'
(3) what's the meaning of 'while' here?