What is the thesis of the church towards asexuality?

What is the position of the Church on asexuals? An asexual is a person who does not experience sexual attraction towards any person, thus does not desire to have sex. Asexuality is distinct from abstention from sexual activity and from celibacy, which are behavioral and generally motivated by factors such as an individual's personal or religious beliefs. An answer from the Church tradition is welcome. Does the Bible mention anything about asexuality? The church? Jesus himself? Is asexuality a sin and is it considered the same as homosexuality?