The Talmud (Makkot 23B)and the Zohar (1:170B - unverified English translation here) say that the 248 positive commandments correspond to the 248 limbs of the human body. (The Mishna (Ohalot 1:8) lists the 248 Halachic limbs). The Talmud also says that the 365 Negative commandments correspond to the days of the year.
The Zohar adds that the 365 negative commandments also correspond to the 365 sinews in the human body (See Yonatan Ben Uziel Bereshit 1:27), and connects them to the days of the year.
R' Chaim Vital, in Shaar HaKavanot (Shaar 1, Part 1) says that "Each of the 248 spiritual limbs gets its nourishment from a particular mitzvah that corresponds to that limb. When a person fails to perform that particular mitzvah, the corresponding limb will lack its proper nourishment..." (translation from here)
Is there any source which tells us which limb (and/or sinew) each Mitzvah corresponds to?
As an example, the Zohar referenced above (1:170B), connects Gid Hanasheh (sciatic nerve), one of the 365 sinews, to the prohibition of eating on Tisha B'av.