The two systems responsible for the interactions with the digestive system as described in your question are:
1. **Muscular System** - This system is responsible for mechanical digestion, as it helps move food through the digestive tract through muscle contractions (peristalsis).
2. **Cardiovascular System** - This system is responsible for delivering the nutrients absorbed from the digestive system to the rest of the body. The bloodstream transports these nutrients to various cells and tissues.
So the correct selections are **Muscular** and **Cardiovascular**.