Requesting a trained Neural Network model from an author?
Just write them a friendly e-mail and include the information you provided here. If they want to share their model, they will, if not, asking didn´t hurt.

Two additional points:


Be sure to acknowledge their work when you use it and let them know that you will.
Maybe you can offer a collaboration on the work. If their model is usefull to you I guess their knowlegde and know-how in general is. Collaborations with and (co-)funding from industry partners are very valuable for research groups.