Why do organisms found at low temperatures have membrane proteins with a higher percentage of alpha helices compared to beta sheets?

The organisms that live at low temperatures have several adaptations in their body that make their survival easy in such adverse environment. One such modifications is to have membrane proteins with a higher percentage of alpha helices compared to beta sheets.
The alpha helical structure are present in membrane proteins that can span the membrane and provide stability to the cell.

Of the cold they can survive in the cold