setStateを使用してReactのState内のネストされたオブジェクトを更新する方法?

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>
    );
  }
});

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>
    );
  }
});

handleChange: function (e) {
    // 1. Make a shallow copy of the items
    let items = [...this.state.items];
    // 2. Make a shallow copy of the item you want to mutate
    let item = {...items[1]};
    // 3. Replace the property you're interested in
    item.name = 'newName';
    // 4. Put it back into our array. N.B. we *are* mutating the array here, 
    //    but that's why we made a copy first
    items[1] = item;
    // 5. Set the state to our new copy
    this.setState({items});
},

this.setState(({items}) => ({
    items: [
        ...items.slice(0,1),
        {
            ...items[1],
            name: 'newName',
        },
        ...items.slice(2)
    ]
}));