The dedication Θ(εοῖς) Καταχθονίοις corresponds to the Latin Dis Manibus.
The patronymic Διλαης, in the genitive Διλαηους, is Thracian, unattested elsewhere. Διλαηους could be an error instead of Διλληους, genitive from Διλλης, a name typical for Bithynia in Asia Minor.
The form ἰητρός is Ionic (instead of Attic ἰατρός), because Ionic Greek was considered the dialect of medicine.
The participle περιών, "being alive", is attested mostly in inscriptions from Asia Minor. In Thrace, the common formula in funerary inscriptions made during one's lifetime is ζῶν. This could be an additional argument for Alexander's origin.
70 years were considered as rather old age in Antiquity and that could be the reason for making the monument. Reaching this age was also a good attestation for Alexander's medical skills.