title: Capillary muscle.
abstract: The contraction of a muscle generates a force that decreases when increasing the contraction velocity. This "hyperbolic" force-velocity relationship has been known since the seminal work of A. V. Hill in 1938 [Hill AV (1938) Proc R Soc Lond B Biol Sci 126(843):136-195]. Hill's heuristic equation is still used, and the sliding-filament theory for the sarcomere [Huxley H, Hanson J (1954) Nature 173(4412):973-976; Huxley AF, Niedergerke R (1954) Nature 173(4412):971-973] suggested how its different parameters can be related to the molecular origin of the force generator [Huxley AF (1957) Prog Biophys Biophys Chem 7:255-318; Deshcherevskiĭ VI (1968) Biofizika 13(5):928-935]. Here, we develop a capillary analog of the sarcomere obeying Hill's equation and discuss its analogy with muscles.
authors.affiliation: Laboratoire d'Hydrodynamique de l'X, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau, France; and Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, École Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France.
authors.forename: Caroline
authors.initials: C
authors.lastname: Cohen
authors.affiliation: Laboratoire d'Hydrodynamique de l'X, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau, France; and Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, École Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France.
authors.forename: Timothée
authors.initials: T
authors.lastname: Mouterde
authors.affiliation: Laboratoire d'Hydrodynamique de l'X, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau, France; and Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, École Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France.
authors.forename: David
authors.initials: D
authors.lastname: Quéré
authors.affiliation: Laboratoire d'Hydrodynamique de l'X, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau, France; and Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, École Supérieure de Physique et de Chimie Industrielles, 75005 Paris, France clanet@ladhyx.polytechnique.fr.
authors.forename: Christophe
authors.initials: C
authors.lastname: Clanet
mesh_terms: D000199:Actins / Q000502:physiology; D000818:Animals; D001696:Biomechanical Phenomena; D002196:Capillaries / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D009119:Muscle Contraction / Q000502:physiology*; D009131:Muscle, Smooth, Vascular / Q000502:physiology*; D009218:Myosins / Q000502:physiology; D012827:Silicone Oils; D013232:Steel
chemical_list: D000199:Actins; D012827:Silicone Oils; D013232:Steel; D009218:Myosins
keywords: actomyosin cycle; capillary analog; force–velocity relation; muscle contraction; sliding filament