Rini was born in Willoughby, Ohio. In 1987, he earned a B.S. in Biology from Bowling Green State University, Ohio, and in 1989 earned an M.F.A. in Medical and Biological Illustration from the University of Michigan, Ann Arbor. In 1990, he founded the Department of Neurosurgical Illustration of the Mayfield Neurological Institute at the University of Cincinnati, and served as its director until 1993. Following that appointment, Rini joined the faculty of the Art as Applied to Medicine department at the Johns Hopkins University School of Medicine. In 2003, he was appointed Associate Professor, with a joint appointment in the Graduate Program in Cellular and Molecular Medicine.
Rini has authored and provided artistic contributions to numerous scholarly publications in his field. In 2005, he received a Fulbright Scholar Award for travel to Chile to establish South America’s first graduate program in Medical and Scientific Illustration.
Rini’s illustrations can be found in several collections including the Chicago Museum of Science and Industry, the Science Museum of Virginia, and the Cincinnati Zoo. In addition to his work as an illustrator, Rini has accepted portrait commissions.