How Cats Lap: Water Uptake by Felis catus Pedro M. Reis/'2* Sunghwan Jung,3* Jeffrey M. Aristoff,4* Roman Stockest Animals have developed a range of drinking strategies depending on physiological and environmental constraints. Vertebrates with incomplete cheeks use their tongue to drink; the most common example is the lapping of cats and dogs. We show that the domestic cat {Felis catus) laps by a subtle mechanism based on water adhesion to the dorsal side of the tongue. A combined experimental and theoretical analysis reveals that Felis catus exploits fluid inertia to defeat gravity and pull liquid into the mouth. This competition between inertia and gravity sets the lapping frequency and yields a prediction for the dependence of frequency on animal mass. Measurements of lapping frequency across the family Felidae support this prediction, which suggests that the lapping mechanism is conserved among felines. animals have evolved diverse Terrestrial means to acquire water, including absorp- tion through the skin (1) or extraction of moisture from food (2), but most rely on drinking (3-12). Drinking presents a challenge to land vertebrates, because fresh water occurs mainly as horizontal liquid surfaces, such as puddles, ponds, lakes, or streams, and animals must displace water upward against gravity to drink it. Crucial in the drinking process is die role of the tongue, which in vertebrates is used in two distinctly different ways. Vertebrates with complete cheeks, such as pigs, sheep, and horses, use suction to draw liquid upward and use their tongue to transport it intraorally (13, 14). In contrast, vertebrates with incomplete cheeks, including most carnivores, are unable (after weaning) to seal their mouth cavity to generate suction and must rely on their tongue to move water into the mouth (13). When the tongue sweeps the bottom of a shallow puddle, the process is called licking (4). When the puddle is deeper than the tongue excursion into the liquid, it is called lapping (15). Here, we report on the lapping mechanism of the domestic cat (Felis catus). Almost everyone has observed a domestic cat lap milk or water. Yet casual observation hardly captures the elegance and complexity of this act, as the tongue's motion is too fest to be resolved by the naked eye. We used high-speed imaging to capture the motion of both the tongue and liquid during lapping [Fig. 1 and movie SI (16)]. With the cat's fece oriented downward, the tongue extends from the jaw (Fig. 1A) and its tip curls sharply caudally (Fig. IB). At the lowest position of the tongue's tip, its dorsal side rests on the liquid surface, without piercing it (Fig. IB). When the cat Ms the tongue, liquid adhering to the dorsal side of the tip is drawn upward, forming a column (Fig. 1C). This liquid column is further extended by the tongue's upward motion (Fig. ID), thinning in the process (Fig. IE), and is finally partially captured upon jaw closure (Fig. 1, E and F). Inside the mouth, cavities between the palate's rugae and the tongue act as a nonreturn device and trap liquid until it is ingested every 3 to 17 cycles (75). This sequence of events reveals two important aspects of how F. catus laps. First, lapping does not rely on "scooping" water into the mouth as in dogs {Canis lupus familiaris). Although the dog's tongue also curls caudally in a cuplike shape, it penetrates the liquid surface and scoops up the water that fills its ventral side. In contrast, the cat's tongue does not dip into the liquid (Fig. IB) and the cavity on its ventral side remains empty (Fig. 1, B and C), as also recognized in a 1940 Oscar-winning short film (17). Second, only the tip of the tongue is used for lapping. The tip is free of filiform papillae (18) (Fig. IG), the semirigid hairlike structures that give a cat's tongue its characteristic roughness. Thus, papillae appear to have no function in lapping. The movies allowed us to quantify the lapping kinematics. The position of the tip of the tongue was tracked over one lapping event (Fig. 2A) and averaged over 1 1 cycles (Fig. 2B). The tongue's vertical position during upward motion is well described by an error-function profile, Z(t) = ViH{' + Grf(UMAxtVñ/H)}, where H= 3.0 cm (Fig. 2B, red) is the total vertical displacement, Umax is the maximum speed, and t is the time measured with respect to Z(t=O) = H/2, the halfheight As a result, the vertical velocity has an approximately Gaussian profile (Fig. 2B, blue): The tongue accelerates as it leaves the water surface, attains a remarkable maximum speed of Umax = 78 ± 2 cm s"1, then decelerates as it enters the mouth. Recordings of 10 adult individuals (16) yielded a lapping frequency /= 3.5 ± 0.4 s"1 and an ingested volume per lap V= 0.14 ± 0.04 ml. To help understand the mechanism of lapping, we performed physical experiments in which a glass disk of radius R (representing the tongue's tip), initially placed on a water surface, was pulled vertically upward (Fig. 3). The time series of the disk position was set by a computer-controlled stage and programmed to have the observed errorfunction profile (Fig. 2B), where we could control the lapping height H and speed Umax- The hydrophilic nature of glass (static contact angle = 14°) mimicked the wetness of the tongue. Highspeed imaging revealed the formation and extension of a water column, as in lapping (Fig. 3, A to G and movies S2 and S3) (16). The column's ascent was eventually interrupted by pinch-off, leaving a pendantlike drop on the lower surface ofthe disk (Fig. 3,FtoH). Estimation of the forces involved suggests that the fluid dynamics of lapping are governed by inertia and gravity, whereas viscous and capillary forces are negligible (16). Inerbai entrainment draws liquid upward into a column, while gravity acts to collapse it. Ultimately, gravity prevails and the column pinches off. Dimensional analysis reveals that two dimensionless parameters control lapping: the Froude number, Fr = ^MAx/(g#)1/2> measuring the relative importance of inertia and gravity (g is the gravitational acceleration), and the aspect ratio, HIR. Experiments were therefore conducted over a range of Fr and HIR values (16), for a fixed lapping height, H - 3 cm, determined from observations (Fig. 2B). The latter is possibly dictated by biological constraints, such as the need to keep whiskers dry to maintain their sensory performance (19) or to maximize peripheral vision while drinking. To test the proposition that the column dynamics are set by a competition between inertia and gravity, we compared the height ofthe disk (Z) at pinch-off, ZP, with that predicted from our scaling analysis. We find (16) that ZP/H ~ Fr* for Fr* < 1 andZp///- 1 otherwise. Here, Fr* = (R/H)¥t2/3 is the ratio ofthe time scale for the gravitational collapse ofthe column, tP = (R/UmaxW*2'3, and the time scale for the upward motion ofthe disk, H/Umax- Experiments confirmed the existence of two regimes (Fig. 4A). For small disks (R = 2.5 and 5 mm), ZPIH increased linearly with Fr*, whereas large disks (R = 10 and 12.7 mm) reached the final height before pinch-off (ZPIH= 1). Theory also successfully predicts that pinchoff occurs close to the disk (Fig. 3). Consequently, the balance between inertia and gravity dictates the lapping frequency,/ by controlling the time of pinch-off. To maximize ingested volume, which is assumed to be proportional to the column's volume V, the lapping time, Iff, should match the pinch-off time, tP, because fester lapping fails to maximize inertial entrainment, whereas slower lapping results in belated mouth closure that misses most ofthe column. This predicts/ ~ (gH)m/R or, because/ ~ Umax/H, that Fr * is of order one. For domestic cats, we find that Fr* is indeed of order unity (0.4), using the experimentally measured values Umax =78 cm s"1 and H= 3 cm (Fig. 2B) and a tongue size oïR ~ 5 mm (Fig. IG). The growth dynamics ofthe column's volume (Fig. 4B) (16) provide further evidence that the lapping frequency is set by the interplay between inertia and gravity. When the disk is close to the bath (Z « //), the column is cylindrical and V increases as V/R3 = kZ/R (Fig. 4B inset). Gravitydriven drainage then reduces the rate of volume increase, and Fis at a maximum when gravity and inertia balance (Fig. 4B). A scaling argument predicts a maximum volume when the disk height reaches ZMaxVoi/#~ Fr* (16), in excellent agreement with observations (Fig. 4A). This also supports our assumption that Fis maximum close to the time of pinch-off. In fact, F always peaks shortly before pinch-off (10 to 70 ms) (Fig. 4B), which suggests that mouth closure should also occur just before pinch-off to maximize captured volume. Observations of domestic cats showed that mouth closure indeed typically preceded pinch-off (movie Si) (16). Fig. 1. The lapping process. (A to F) Snapshots showing the movement of the tongue of F. catus and the dynamics of the liquid column during a lapping cycle. Lapping occurs by fluid adhesion to the dorsal part of the tongue's tip and by lifting a liquid column through the tongue's upward motion, before jaw closure. Time elapsed from the first frame is given in the top left corner of each frame. (G) Photograph of the dorsal side of the tongue of F catus, acquired under anesthesia (16). Only the smooth tip is used in lapping. Fig. 2. The lapping kinematics. (A) Vertical position of the tip of the tongue of F. catus over 11 lapping cycles. (B) Vertical position (red circles) and velocity (blue squares) of the tongue's tip during a typical lapping cycle, obtained by averaging 11 cycles. The dashed line (red) represents a fitted error-function profile for vertical position. The dotted line (blue) is its temporal derivative and represents upward speed, which yielded (7,^ = 78 ± 2 cm s"1. Fig. 3. Physical model of lapping. A disk of radius R is driven vertically upward, such that the elevation of the disk, Z(t), from the liquid interface (dashed line, Z = 0), has an error-function profile (16). Lowercase z denotes the distance of a generic liquid layer from the disk. The sequence illustrates the formation (A to E) and pinch-off (F) of the liquid column. After pinch-off, part of the column collapses into the bath (G), which leaves a pendantlike drop attached to the disk (H). The final height of the disk is Z = H. Time is measured relative to the moment the disk reaches height Z = H/2 = 1.5 cm. This sequence corresponds to R = 12.7 mm, H = 3 cm, Umax = 50 cm s"1 (Fr = 1.42; Fr* = 0.60). Fig. 4. Liquid column dynamics in the physical model and observed lapping frequency of felines. (A) Position of the disk at pinch-off, ZP, versus Fr*, for four disk radii R (solid squares), and position of the disk when the column achieves maximum volume, Z^xvoi/ versus Fr*, for R = 5 mm (open squares). (B) Time course of the liquid column volume, V, for different speeds (/maxBlack open squares indicate the pinch-off time relative to the moment when the disk started moving (16). The maximum column volumes (0.12 to 0.26 ml) are of the same order as the volume per lap ingested by Felis cotus (0.14 ± 0.04 ml). The inset shows the volume as a function of relative disk height (solid circles) and the prediction from a scaling argument for low heights (black line, Z/H « 1). At greater heights, drainage reduces the volume and then pinch-off occurs. (0 Lapping frequency as a function of animal mass for eight species of felines. Solid symbols represent data acquired at the Zoo New England; open symbols represent data from YouTube videos (16). The line of best fit (dashed red) has slope -0.181 ± 0.024. The solid black line has slope -1/6. The balance of inertia and gravity yields a prediction for the lapping frequency of other felines. Assuming isometry within the Felidae family (i.e., that lapping height H scales linearly with tongue width R and animal mass M scales as R3), the finding that Fr * is of order one translates to the prediction/- R ~m ~ M ~m. Isometry or marginally positive allomety among the Felidae has been demonstrated for skull (20, 21) and limb bones (22). Although variability by function can lead to departures from isometry in interspecific scalings (23), reported variations within the Felidae (23, 24) only minimally affect the predicted scaling/- M~m. We tested this -1/6 power-law dependence by measuring the lapping frequency for eight species of felines, from videos acquired at the Zoo New England or available on YouTube (16). The lapping frequency was observed to decrease with animal mass as/= 4.6 M^181 ± 0024 (/in s"1, Min kg) (Fig. 4C), close to the predicted AT176. This close agreement suggests that the domestic cat's inertia- and gravity-controlled lapping mechanism is conserved among felines. The lapping of E catus is part of a wider class of problems in biology involving gravity and inertia, sometimes referred to as Froude mechanisms. For example, the water-running ability of the Basilisk lizard depends on the gravity-driven collapse of the air cavity it creates upon slapping the water surface with its feet. The depth to which the lizard's leg penetrates the surface depends on the Froude number, which in turn prescribes the minimum slapping frequency (25). The Froude number is also relevant to swimming, for example, setting the maximum practical swimming speed in ducks (26), and to terrestrial legged locomotion. In this respect, it is interesting to note that the transition from trot to gallop obeys nearly the same scaling of frequency with mass as lapping, /= 4.5 M ~~°14 (/in s~' Min kg) (27). The subtle use of the tongue in the drinking process of F catus is remarkable, given the tongue's lack of skeletal support (28). Complex movement in the absence of rigid components is a common feature of muscular hydrostats, which in addition to tongues include elephant trunks and octopus arms (28, 29). The functional diversity and high compliance of these structures continue to inspire the design of soft robots (29), and a fundamental understanding of their functionality can lead to new design concepts and is essential to inform biomechanical models (29, 30). References and Notes 1. P. ]. Bentley, T. Yorio, ;. Exp. Bioi 79, 41 (1979). 2. D. 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Bwl. 53, 763 (1970). 27. N. C. Heglund, C. R. Taylor, T. A. McMahon, Science 186, 1112 (1974). 28. K. K. Smith, W. M. Kier, Am. Sci. 77, 28 (1989). 29. D. Trivedi, C. D. Rahn, W. M. Kier, I. D. Walker, Appi Bionics Biomech. 5, 99 (2008). 30. H. ]. Chiei, P. Crago, ]. M. Mansour, K. Hathi, Bioi Cybern. 67, 403 (1992). 31. All research with animals complied with and was approved by MIT's Animal Rights Committee. We thank ]. Piazza and the staff at the Zoo New England for help with filming felines; M. Rock, A. Kennedy, and the Massachusetts Society for the Prevention of Cruelty to Animals (MSPCA) for help with filming domestic cats; G. McKinley for use of his FiSER stage; A. Crompton, A. Thexton, W. Kier, ]. Bales, ). Bush, B. Andreotti, ]. Bico, D. Velia, and A. Boudaoud for discussions and comments; and A. Jones, E. Samaha, R. Tomas, and W. jarjoui for technical assistance. S.]., P.M.R., and R.S. designed research; S.]., P.M.R., R.S., and J.M.A. performed experiments and analyzed data; S.]., ].MA, and R.S. developed scalings and theory; P.M.R., R.S., S.J., and J.M.A. wrote the paper.