How to know RadioButtons in Ui-Grid?

I am utilizing UI-matrix in AngularJs. I might want to include radio catches as the primary section in the matrix and furthermore need to expel some specific segments from each like Id, IsDeleted and so forth. Following is the plunker I am utilizing. I need to keep an eye on a catch click that no less than one of the items push is chosen. Would someone be able to help me in achieving this?

 

Following is my plunker

 

http://plnkr.co/alter/ecOJ4IJX384E7MHkCzfR?p=preview

 

Following is my HTML code