Rendering react component after api response

I have a react component that I wish to populate with images using the Dropbox api. The api part works fine, but the component is rendered before the data comes through & so the array is empty. How can I delay the rendering of the component until it has the data it needs?

var fileList = [];
var images = [];
var imageSource = [];

class Foo extends React.Component {

 render(){
  dbx.filesListFolder({path: ''})
  .then(function(response) {
   fileList=response.entries;
   for(var i=0; i<fileList.length; i++){
    imageSource.push(fileList[0].path_lower);
   }
   console.log(imageSource);
   })

  for(var a=0; a<imageSource.length; a++){
   images.push(<img key={a} className='images'/>);
  }

  return (
   <div className="folioWrapper">
    {images}
   </div>
  );
 }
}

Thanks for your help!