is a possibility, especially as this appears to be a title.

If you're looking for a more literal translation, I'd go for "... a favourable outcome..."

It is fine as it is. Doctor's often talk of the evolution of illnesses, diseases and even patients themselves.

For example: http://america.cubaminrex.cu/DiscursosIntervenciones/Articul...
"For example, as this disease keeps constantly advancing in over 171 nations --according to their own reports to the World Health Organization-- with more than 177,000 people infected and a death toll of over 1100, in Cuba 242 cases have been confirmed of which 135, that is, more than half, are sick people who have traveled to the island; 50 are introduced cases, that is, persons infected by sick people coming from overseas; and 57 are considered indigenous cases since they were infected here by introduced cases. Of the total figure, 232 patients have been discharged and the remaining 10 show a ******favorable evolution*********.

If you prefer


http://www.google.co.uk/search?q=favourable clinical course&...

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Note added at 22 mins (2012-06-12 13:49:01 GMT)
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British English spelling:) that's all I know..

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Note added at 1 hr (2012-06-12 14:29:55 GMT)
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Absence d'évolution favorable > Unfavourable progression - ProZ.com
www.proz.com › ... › French to English › Medical (general)
Block all www.proz.com results
7 May 2011 – (KudoZ) French to English translation of Absence d'évolution favorable: Unfavourable progression [Medical (general) (Medical)].

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Note added at 1 hr (2012-06-12 14:31:04 GMT)
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4 +3 Unfavourable progression
DouglasCarnall

4 +3 the illness followed an unsatisfactory course
SJLD

4 No improvement

.