Could somebody please help me with these sentences? I am not sure if they are grammatically correct or contain the right meaning.

1)Organ transplantation is a fast progressing discipline with new scientific developments at the frontier of medicine.

2)After 67 year since the first human heart transplant, a team of doctors from Parisís Georges Pompidou Hospital successfully transplanted the next-generation artificial heart made of biomaterials the last year

3)On the other spectrum Dr. Doris Taylor of Texas Heart Institute has engineered a beating pig heart in the laboratory.

4)The allografts have to be specifically matched to the recipientís MHC tissue complex and afterwards patients are left on immunosuppressant drugs until rest of their lives.

5)On the medical care level there are concerning matters with the shortage of organ donors or clear guidelines for declaration of brain death.

Thank you!