I don't believe in the direct translation Zügel -> rein in this context. In this article, you find a citation of Kuner and "periosteal flap" procedures (-> Table III).
http://www.jbjs.org.uk/cgi/reprint/79-B/3/446.pdf

In other source texts, you will find pedicle related to these periosteal flap procedures (gestielt).

I'm not sure about the Umkipp- part. In other anatomical locations, there is a turn-down plasty, etc.
http://www.wheelessonline.com/ortho/pedicle_flaps

For "Umkipp" see this old KudoZ question:
http://www.proz.com/kudoz/german_to_english/medical_general/...

HTH

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Note added at 2 hrs (2009-04-08 16:12:57 GMT)
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Another option: This kind of procedure is called -> bridle procedures, and this by English native authors:

http://ether.stanford.edu/library/AFS.pdf (see page 2, bottom)


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Note added at 16 hrs (2009-04-09 06:56:35 GMT)
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Today, I want to erase also the second option above: bridle is not correct IMO. These procedures are for the treatment of paralysis of the foot, e.g. -> http://www.ncbi.nlm.nih.gov/pubmed/1572589

As I understand it (more context about the diagnose and the surgery in question would be helpful ...), Periostzügelumkippplastik is for treatment of chronic ankle joint instabilities. My suggestion for translation -> periosteal turn-down flap / ... turn-down plasty

See also (German source texts):
www.mydatabus.com/9z/tbbtyrznvy.pbz/179meyer/Unterschenkel_...
(see page 20/21 - wrong spelling: Kuhner instead of Kuner)

and:
http://www.pk-eisenach.de/download/003.pdf

...please see the following ref:

http://www.find-health-articles.com/rec_pub_3149095-perioste...

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Note added at 18 Tage (2009-04-27 09:55:00 GMT)
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Hello Rhettro,
How did you finally translate "Periostzügelumkippplastik"??