Googling LIF and then entering LIF into below gives several matches, but this seems to meet the context given the mention of Thrombocytopenia, which is an LIF as it's related to platelet deficiency in the blood

I think the keyword here is 'Thrombozytopenie' - as far as I understood from Roche Lexikon it can cause spontaneous bleedings. Therefore LIF could be 'lokale intraarterielle Fibrinolysis' which is translated as 'Local Intra-arterial Fibrinolysis'. An example of it's use is described in this article:

http://www.ncbi.nlm.nih.gov/pubmed/9045970

And there are many more similar articles if you google the term. BTW I noticed one can obviously choose whether or not to use the hyphen in 'intra-arterial'.

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Note added at 1 day1 hr (2010-12-30 18:52:34 GMT)
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Thrombocytopenia is indeed quite important factor here. Please have a look at this:
Maternal hemorrhage at time of birth is a risk in women with ITP, particularly if the platelet count decreases to less than 20,000/µL. (...)
Severe neonatal thrombocytopenia places the infant at risk for intracranial or visceral hemorrhage.
http://emedicine.medscape.com/article/208697-overview

ITP (Immune thrombocytopenia)

Or this:
The major focus of concern is on the risk for neonatal thrombocytopenia. In contrast to fetal alloimmune
thrombocytopenia, which may be severe and cause intrauterine fetal hemorrhage, intrauterine fetal hemorrhage has not
been reported in ITP. The main concern is for trauma at birth and its risk of provoking cerebral hemorrhage in the
newborn infant.
http://moon.ouhsc.edu/jgeorge/Tpreg.html