code:

var myStore = document.createElement('store');
myStore.data = {};

var updateStore = function(type, data) {
	// IE doesn't support CustomEvent constructor, ugh
	var evt = document.createEvent('CustomEvent');
	evt.initCustomEvent('update', false, false, { 'type': type, 'data': data });
	myStore.dispatchEvent(evt);
};

var AppContainer = React.createClass({
	getInitialState: function() {
		myStore.addEventListener('update', this.updateStore.bind(this));
	},
	updateStore: function(e) {
    	if (!e || !e.detail || !e.detail.type) { return; }
    	var self = this;
    	switch (e.detail.type) {
    		case 'doThing1':
    			// Do thing that changes the state
    			self.setState(self.state);
    			break;
    		case 'doThing2':
    			// Do thing that changes the state
    			self.setState(self.state);
    			break;
    	}
    }
});