React: how to update state.item[1] in state using setState?

I’m creating an app where the user can design his own form. E.g. specify name of the field and details of which other columns that should be included.

The component is available as a JSFiddle here.

My initial state looks like this:

var DynamicForm = React.createClass({
  getInitialState: function() {
   var items = {};
   items[1] = { name: 'field 1', populate_at: 'web_start',
                same_as: 'customer_name',
                autocomplete_from: 'customer_name', title: '' };
   items[2] = { name: 'field 2', populate_at: 'web_end',
                same_as: 'user_name', 
                    autocomplete_from: 'user_name', title: '' };

     return { items };
   },

  render: function() {
     var _this = this;
     return (
       <div>
         { Object.keys(this.state.items).map(function (key) {
           var item = _this.state.items[key];
           return (
             <div>
               <PopulateAtCheckboxes this={this}
                 checked={item.populate_at} id={key} 
                   populate_at={data.populate_at} />
            </div>
            );
        }, this)}
        <button onClick={this.newFieldEntry}>Create a new field</button>
        <button onClick={this.saveAndContinue}>Save and Continue</button>
      </div>
    );
  }

I want to update the state when the user changes any of the values, but I’m having a hard time to target the correct object:

var PopulateAtCheckboxes = React.createClass({
  handleChange: function (e) {
     item = this.state.items[1];
     item.name="newName";
     items[1] = item;
     this.setState({items: items});
  },
  render: function() {
    var populateAtCheckbox = this.props.populate_at.map(function(value) {
      return (
        <label for={value}>
          <input type="radio" name={'populate_at'+this.props.id} value={value}
            onChange={this.handleChange} checked={this.props.checked == value}
            ref="populate-at"/>
          {value}
        </label>
      );
    }, this);
    return (
      <div className="populate-at-checkboxes">
        {populateAtCheckbox}
      </div>
    );
  }
});

How should I craft this.setState to get it to update items[1].name ?