Databinding to a target CLR property in code-behind

Binding to a Dependency Property is easy in code-behind. You just create a new System.Windows.Data.Binding object, and then call the target dependency object's SetBinding method.

But how do you do this when the property which we're binding is a CLR property and you can't provide a DependencyProperty argument to SetBinding? Is there a way to use a CLR property as a binding target?

EDIT: The object implements INotifyPropertyChanged, if that's relevant.