When cells are under hypoxic conditions, no hydroxylation of HIF-1 Alpha occurs reulting in no degradation of HIF-1 Alpha. This means that HIF-1 Alpha can build up in the cell. HIF-1 Alpha then binds to a nuclear translocator, ARNT, and enters the nucleus. Once inside the nucleus, the ARNT and HIF-1 Alpha complex, called HIF-1, allows for the transcription of target genes. These target genes allow for cellular survival in hypoxia.
Some of this mechanism can be seen in the image below from http://journals.cambridge.org/fulltext_content/ERM/ERM7_06/S1462399405009117sup010.gif
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