Thermodynamics of Animal Locomotion.
Abstract: Muscles are biological actuators extensively studied in the frame of Hill's classic empirical model as isolated biomechanical entities, which hardly applies to a living organism subjected to physiological and environmental constraints. Here we elucidate the overarching principle of a living muscle action for locomotion, considering it from the thermodynamic viewpoint as an assembly of actuators (muscle units) connected in parallel, operating via chemical-to-mechanical energy conversion under mixed (potential and flux) boundary conditions. Introducing the energy cost of effort as the generalization of the well-known oxygen cost of transport in the frame of our compact locally linear nonequilibrium thermodynamics model, we analyze oxygen consumption measurement data from a documented experiment on energy cost management and optimization by horses moving at three different gaits. Horses adapt to a particular gait by mobilizing a nearly constant number of muscle units minimizing waste production per unit distance covered; this number significantly changes during transition between gaits. The mechanical function of the animal is therefore determined both by its own thermodynamic characteristics and by the metabolic operating point of the locomotor system.
Publication Date: 2020-12-15 PubMed ID: 33315423DOI: 10.1103/PhysRevLett.125.228102Google Scholar: Lookup
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Summary
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The study explains how horses manage and optimize their energy consumption during different phases of movement, using a thermodynamic model that considers the muscles as an assembly of energy-converters working in sync.
Research Objective
- The researchers aimed to understand the thermodynamic principle of how living organisms, specifically horses, optimize their energy cost during different gaits. They considered muscles as parallel-connected actuators that convert chemical energy to mechanical energy.
Methods
- The study employed Hill’s classic empirical model, which perceives muscles as separate biomechanical entities. This approach, however, was augmented with considerations for physiological and environmental constraints that a living organism encounters.
- The energy cost of effort was introduced, which speaks to the generalization of the known oxygen cost of transport. The horse’s oxygen consumption was measured during a transaction experiment to provide data regarding energy cost management.
Results
- The researchers found that horses adapt to a particular gait by a nearly constant number of muscle units, which minimizes waste production per unit distance covered. On changing their gait, this number changes significantly.
- The study establishes that the mechanical function of an animal is determined by its own thermodynamic characteristics and by the metabolic operating point of the locomotor system. This means that the horse’s locomotion efficiency depends on both its internal physiological mechanisms and the energy requirements of the specific gait.
Significance
- This research is significant because it provides an overarching thermodynamic principle about how living organisms manage their energy cost. This understanding could be useful in various fields, like sports science and veterinary medicine, where optimized energy expenditure is vital.
- The findings may also have implications for designing bio-inspired machines or robots, helping to improve their efficiency by mimicking the energy optimization methods used by living organisms.
Cite This Article
APA
Herbert E, Ouerdane H, Lecoeur P, Bels V, Goupil C.
(2020).
Thermodynamics of Animal Locomotion.
Phys Rev Lett, 125(22), 228102.
https://doi.org/10.1103/PhysRevLett.125.228102 Publication
Researcher Affiliations
- Laboratoire Interdisciplinaire des Energies de Demain (LIED), CNRS UMR 8236, Université Paris Diderot, 5 Rue Thomas Mann, 75013 Paris, France.
- Center for Energy Science and Technology, Skolkovo Institute of Science and Technology, 3 Nobel Street, Skolkovo, Moscow Region 121205, Russia.
- Center for Nanoscience and Nanotechnology (C2N), CNRS, Université Paris-Saclay, 91120 Palaiseau, France.
- Institut de Systématique, Evolution, Biodiversité, ISYEB, CNRS/MNHN/EPHE/UA UMR 7205, Muséum national d'Histoire naturelle, Sorbonne Universités, 45 rue Buffon, 75005 Paris, France.
- Laboratoire Interdisciplinaire des Energies de Demain (LIED), CNRS UMR 8236, Université Paris Diderot, 5 Rue Thomas Mann, 75013 Paris, France.
MeSH Terms
- Animals
- Biomechanical Phenomena
- Gait / physiology
- Horses
- Locomotion / physiology
- Models, Biological
- Muscles / physiology
- Oxygen Consumption
- Thermodynamics
Citations
This article has been cited 3 times.- Sun G, Yu C, Cai R, Li M, Fan L, Sun H, Lyu C, Lin Y, Gao L, Wang KH, Li X. Neural representation of self-initiated locomotion in the secondary motor cortex of mice across different environmental contexts. Commun Biol 2025 May 10;8(1):725.
- Raux P, Goupil C, Verley G. Three Optima of Thermoelectric Conversion: Insights from the Constant Property Model. Entropy (Basel) 2025 Feb 27;27(3).
- Brodoline I, Sauvageot E, Viollet S, Serres JR. Shaping the energy curves of a servomotor-based hexapod robot. Sci Rep 2024 May 22;14(1):11675.
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