I believe you are asking a method where you can skip sending paper based statements every month to your patients and start sending them electronic based secure statements and accept online ACH payments. If its correct then there are few solutions available now.
Solutions : Availity Offers Online payments, InstaMed offers online statements, collection of balance and statement as well as a function to save your customers cards on file for future balances, and PaySpan offers the same.
Hope this helps..