This is very nearly a literal translation, but works OK and would be perfectly acceptable in an art book or magazine. Since the text is fairly formal, "of the artist" seems a better fit than "artist's". Although we speak of "well being", "ill being" sounds rather odd. Another old favourite for describing artists (Beethoven, Schubert, Van Gogh, Giacometti, you name it) is angst, though perhaps a translation step too far...

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Note added at 9 hrs (2012-06-09 20:34:23 GMT)
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The problem with "angst" is that the modern take on it makes it hard to take seriously (angst-ridden artists/students...), though sprinkling an artistic text with a bit of German (or any foreign language) would probably go down quite well. "Anguish" is just as good, though.