Angularjs bind dynamic form bulit in js

I have a form that I want to build at run time via js and use it in a form controller in angularjs.

As you can see in the following example, it is not being thrown as html, and i want it to be binded to the model variable. http://ift.tt/1wBBjYN

<div>
    <form ng-controller="TodoCtrl" ng-submit="blabla()">
        <div ng-repeat="field in fields">{{field.input}}</div>
    </form>
</div>

function TodoCtrl($scope) {
    $scope.model = {
        'FirstName': 'Test',
        'LastName': 'Test Last'
    }
    $scope.fields = [{
        input: '<input type="text" ng-model="model.FirstName">'
    }, {
        input: '<input type="text" ng-model="model.LastName">'
    }, ];
}