Learning swimming escape patterns under energy constraints

Aquatic organisms involved in predator-prey interactions perform impressive feats of fluid manipulation to enhance their chances of survival [1-8]. Since early studies where prey fish were reported to rapidly accelerate from rest by bending into a C-shape and unfurling their tail [9-12], impulsive locomotion patterns have been the subject of intense investigation. Studying escape strategies of prey fish has led to the discovery of sensing mechanisms [13-15], dedicated neural circuits [16-19], and bio-mechanic principles [20, 21]. From the perspective of hydrodynamics, several studies have sought to understand the C-start escape response and how it imparts momentum to the surrounding fluid [22-27]. However, experiments and observations indicate that swimming escapes can take a variety of forms. For example, after the initial burst from rest, many fish are seen coasting instead of swimming continuously [11, 28, 29]. Furthermore, theoretical [30-32] as well as experimental [33] studies have suggested that intermittent swimming styles, termed burst-coast swimming, can be more efficient than continuous swimming when maximizing distance given a fixed amount of energy. This raises the question of when and why different swimming escape patterns are employed in nature, and which biophysical cost functions they optimize. Given a cost function, reverse engineering methodologies have been employed to identify links to resulting swimming patterns e.g.