**Organizers:**

#### Yangyang Wang (University of Iowa, USA), Peter Thomas (Case Western Reserve University, USA)

**Description**:

The brain is strongly coupled to the body. Within the mathematical neuroscience community, there is growing appreciation that the analysis of neural circuits involved in motor control is inseparable from the analysis of the motor system that coevolved with, and is the raison d'etre for the brain. This double minisymposium will showcase efforts by applied mathematicians, typically in collaboration with experimental biologists, to understand the dynamics of rhythmic motor systems including respiration, swallowing, and locomotion, and to describe how phenomena such as robustness and homeostasis arise from rhythmic brain-body interactions. The first of two sessions will address control of respiratory rhythms in vertebrates and ingestive/digestive rhythms in invertebrates. The second session will address modeling of locomotory control systems, as well as the notion of homeostasis for general limit cycle systems.