Duque, a dark bay horse, wears a heart-rate strap around his chest while he stands at the rail in an indoor arena.

Computer models for horse health

In human medicine, computer models now answer questions that used to need invasive studies. Simulated blood flow guides heart care. Virtual airways inform surgery. We are working toward the same thing for horses: models of circulation, breathing, and movement that let us study disease, soundness, and recovery on a computer, so fewer experiments need a living horse.

Circulation. Models of pulsing blood flow in the horse’s aorta, and how flow and wall stress change with anatomy and exercise.

Breathing. Models of airflow in the upper airway, where dynamic collapse is a common and serious problem.

Rhythms. Heart, breath, and stride as coupled oscillators: how a horse’s rhythms line up within one body, and between horse and rider.

The Horses at the Heart of It

EquiPhysics still begins at the barn. Duque, Perseo, Mermaid, Jackson, and their herdmates live at Rancho del Nido, and our team is with them nearly every day. Their care comes first. Measurements are brief and noninvasive: lightweight wireless motion sensors (the same technology inside a smartwatch) worn for a few minutes of ordinary exercise, the heart-rate straps riders use every day, and video, all under university-approved animal-care (IACUC) protocols at an inspected facility. What we learn with them anchors the models, fills the classroom datasets, and keeps the math honest.

Movement: gait and asymmetry. Every horse moves in its own way, and many, off-the-track Thoroughbreds especially, carry distinctive asymmetries. We measure how long each hoof stays on the ground, how each limb swings, and how those patterns hold or change across sessions, speeds, and directions. Perseo’s left front lingers about 47 milliseconds longer than his right, in both directions on the circle. Mermaid’s hind hooves vary more than twice as much in ground time as her fronts, a pattern we have seen in no other horse. Differences like these add up to a movement fingerprint, enough that a computer can tell one horse from another by motion alone, and following them over months lets us watch recovery and retraining unfold in the data.

Rhythms: heart and breath. With the same light touch, we record heart rate and heart-rate variability, and breathing rate and its variability: windows into how a horse’s nervous system responds and recovers. We have measured how horses’ heart rhythms respond to music across dozens of sessions, looked at how breathing couples to stride across gaits, and begun asking how rhythms pass between horse and human. These are the rhythms our coupled-oscillator models are built to explain.

We measure, compare, and model. We don’t prescribe. When a measurement raises a question about one horse, we bring it to the people who know that horse: veterinarians, farriers, trainers, bodyworkers. When our data showed one gelding’s right front lifting off a fraction of a second later than its pair, the answer came from his veterinary team and his farrier, working from the data together with what they could see and feel.

A sensor notices a 47-millisecond difference no eye can see. An experienced horsewoman notices context no sensor records. One of the questions we find most interesting is how those two kinds of knowing fit together: where they agree, where they differ, and what each catches that the other misses. Neither replaces the other, and we wouldn’t want it to.

We share analysis notebooks, teaching datasets, and complete classroom labs openly, so a classroom anywhere can teach with the real movement and breath of our horses. Find them at github.com/equiphysics/education.