As you said "The arts can inspire scientific research. And science can inspire art", I think of the idea that art is the practice (or say record) of human imagination. And also the art can reflect science, such as the feature of exaggerated lighting in Baroque painting creating the stage effects.

The science, to me, simply, a tool to help us live better and understand the mechanism of the world. But when it is combined with art, it gives meanings, as it's one of the functions of art, is to let audience reflect and think. That's also one important value of Art and Humanities.