In my current project, I am working on switching between two buttons that act as their own triggers for the switch. To illustrate further:
<span ng-switch on="patientSwitch">
<span ng-switch-when="edit">
<button ng-click="patientSwitch='save'">save</button>
</span>
<span ng-switch-when="save">
<button ng-click="patientSwitch"='edit'">edit</button>
</span>
</span>
For reference, here is a jsFiddle link: http://jsfiddle.net/g7vKz/