1
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Uttieri M, Svetlichny L. Escape performance in the cyclopoid copepod Oithona davisae. Sci Rep 2024; 14:1078. [PMID: 38212397 PMCID: PMC10784515 DOI: 10.1038/s41598-024-51288-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2023] [Accepted: 01/03/2024] [Indexed: 01/13/2024] Open
Abstract
Escaping a predator is one of the keys to success for any living creature. The performance of adults (males, females, and ovigerous females) of the cyclopoid copepod Oithona davisae exposed to an electrical stimulus is analysed as a function of temperature by measuring characteristic parameters associated with the escape movement (distance covered, duration of the appendage movement, mean and maximum escape speeds, Reynolds number). In addition, as a proxy for the efficiency of the motion, the Strouhal number was calculated. The escape performance showed temperature-dependent relationships within each adult state, as well as differences between sexes; additionally, changes owing to the presence of the egg sac were recorded in females. In a broader perspective, the results collected reveal the occurrence of different behavioural adaptations in males and females, adding to the comprehension of the mechanisms by which O. davisae interacts with its environment and shedding new light on the in situ population dynamics of this species.
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Affiliation(s)
- Marco Uttieri
- Department of Integrative Marine Ecology, Stazione Zoologica Anton Dohrn, Villa Comunale, 80121, Naples, Italy.
- NBFC, National Biodiversity Future Center, Piazza Marina 61, 90133, Palermo, Italy.
| | - Leonid Svetlichny
- Department of Invertebrate Fauna and Systematics, I. I. Schmalhausen Institute of Zoology, National Academy of Sciences of Ukraine, Kyiv, Ukraine
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2
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Strock S, Costello JH, Daniels J, Katija K, Colin SP. Nectophore coordination and kinematics by physonect siphonophores. J Exp Biol 2023; 226:jeb245955. [PMID: 37655651 DOI: 10.1242/jeb.245955] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2023] [Accepted: 08/18/2023] [Indexed: 09/02/2023]
Abstract
Siphonophores are ubiquitous and often highly abundant members of pelagic ecosystems throughout the open ocean. They are unique among animal taxa in that many species use multiple jets for propulsion. Little is known about the kinematics of the individual jets produced by nectophores (the swimming bells of siphonophores) or whether the jets are coordinated during normal swimming behavior. Using remotely operated vehicles and SCUBA, we video recorded the swimming behavior of several physonect species in their natural environment. The pulsed kinematics of the individual nectophores that comprise the siphonophore nectosome were quantified and, based on these kinematics, we examined the coordination of adjacent nectophores. We found that, for the five species considered, nectophores located along the same side of the nectosomal axis (i.e. axially aligned) were coordinated and their timing was offset such that they pulsed metachronally. However, this level of coordination did not extend across the nectosome and no coordination was evident between nectophores on opposite sides of the nectosomal axis. For most species, the metachronal contraction waves of nectophores were initiated by the apical nectophores and traveled dorsally. However, the metachronal wave of Apolemia rubriversa traveled in the opposite direction. Although nectophore groups on opposite sides of the nectosome were not coordinated, they pulsed with similar frequencies. This enabled siphonophores to maintain relatively linear trajectories during swimming. The timing and characteristics of the metachronal coordination of pulsed jets affects how the jet wakes interact and may provide important insight into how interacting jets may be optimized for efficient propulsion.
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Affiliation(s)
- Shirah Strock
- Marine Biology and Environmental Science, Roger Williams University, Bristol, RI 02809, USA
| | - John H Costello
- Biology Department, Providence College, Providence, RI 02918, USA
- Whitman Center, Marine Biological Laboratory, Woods Hole, MA 02543, USA
| | - Joost Daniels
- Research and Development, Monterey Bay Aquarium Research Institute, Moss Landing, CA 95039, USA
| | - Kakani Katija
- Research and Development, Monterey Bay Aquarium Research Institute, Moss Landing, CA 95039, USA
| | - Sean P Colin
- Marine Biology and Environmental Science, Roger Williams University, Bristol, RI 02809, USA
- Whitman Center, Marine Biological Laboratory, Woods Hole, MA 02543, USA
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3
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Oliveira Santos S, Tack N, Su Y, Cuenca-Jiménez F, Morales-Lopez O, Gomez-Valdez PA, Wilhelmus MM. Pleobot: a modular robotic solution for metachronal swimming. Sci Rep 2023; 13:9574. [PMID: 37311777 DOI: 10.1038/s41598-023-36185-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2023] [Accepted: 05/26/2023] [Indexed: 06/15/2023] Open
Abstract
Metachronal propulsion is widespread in aquatic swarming organisms to achieve performance and maneuverability at intermediate Reynolds numbers. Studying only live organisms limits our understanding of the mechanisms driving these abilities. Thus, we present the design, manufacture, and validation of the Pleobot-a unique krill-inspired robotic swimming appendage constituting the first platform to study metachronal propulsion comprehensively. We combine a multi-link 3D printed mechanism with active and passive actuation of the joints to generate natural kinematics. Using force and fluid flow measurements in parallel with biological data, we show the link between the flow around the appendage and thrust. Further, we provide the first account of a leading-edge suction effect contributing to lift during the power stroke. The repeatability and modularity of the Pleobot enable the independent manipulation of particular motions and traits to test hypotheses central to understanding the relationship between form and function. Lastly, we outline future directions for the Pleobot, including adapting morphological features. We foresee a broad appeal to a wide array of scientific disciplines, from fundamental studies in ecology, biology, and engineering, to developing new bio-inspired platforms for studying oceans across the solar system.
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Affiliation(s)
- Sara Oliveira Santos
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, 02912, USA
| | - Nils Tack
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, 02912, USA
| | - Yunxing Su
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, 02912, USA
| | - Francisco Cuenca-Jiménez
- Circuito Interior s/n, Engineering, Universidad Nacional Autónoma de México, 04510, Coyoacán, Mexico
| | - Oscar Morales-Lopez
- Circuito Interior s/n, Engineering, Universidad Nacional Autónoma de México, 04510, Coyoacán, Mexico
| | - P Antonio Gomez-Valdez
- Circuito Interior s/n, Engineering, Universidad Nacional Autónoma de México, 04510, Coyoacán, Mexico
| | - Monica M Wilhelmus
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, 02912, USA.
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4
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Connor AA, Webster DR. Hydrodynamics of the fast-start caridoid escape response in Antarctic krill, Euphausia superba. Sci Rep 2023; 13:5376. [PMID: 37009788 PMCID: PMC10068603 DOI: 10.1038/s41598-023-31676-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/05/2023] [Accepted: 03/15/2023] [Indexed: 04/04/2023] Open
Abstract
Krill are shrimp-like crustaceans with a high degree of mobility and variety of documented swimming behaviors. The caridoid escape response, a fast-start mechanism unique to crustaceans, occurs when the animal performs a series of rapid abdominal flexions and tail flipping that results in powerful backward strokes. The current results quantify the animal kinematics and three-dimensional flow field around a free-swimming Euphausia superba as it performs the caridoid escape maneuver. The specimen performs a single abdominal flexion-tail flip combination that leads to an acceleration over a 42 ms interval allowing it to reach a maximum speed of 57.0 cm/s (17.3 body lengths/s). The krill's tail flipping during the abdominal closure is a significant contributor to the thrust generation during the maneuver. The krill sheds a complex chain of vortex rings in its wake due to the viscous flow effects while the organism accelerates. The vortex ring structure reveals a strong suction flow in the wake, which suggests that the pressure distribution and form drag play a role in the force balance for this maneuver. Antarctic krill typically swim in a low to intermediate Reynolds number (Re) regime where viscous forces are significant, but as shown by this analysis, its high maneuverability allows it to quickly change its body angle and swimming speed.
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Affiliation(s)
- A A Connor
- School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0355, USA
- George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0405, USA
| | - D R Webster
- School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0355, USA.
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5
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Ruszczyk M, Webster DR, Yen J. Trends in Stroke Kinematics, Reynolds Number, and Swimming Mode in Shrimp-Like Organisms. Integr Comp Biol 2022; 62:icac067. [PMID: 35662323 DOI: 10.1093/icb/icac067] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
Metachronal propulsion is commonly seen in organisms with the caridoid facies body plan, i.e. shrimp-like organisms, as they beat their pleopods in an adlocomotory sequence. These organisms exist across length scales ranging several orders of Reynolds number magnitude, from 10 to 104, during locomotion. Further, by altering their stroke kinematics, these organisms achieve three distinct swimming modes. To better understand the relationship between Reynolds number, stroke kinematics, and resulting swimming mode, Euphausia pacifica stroke kinematics were quantified using high-speed digital recordings and compared to the results for the larger E. superba. Euphausia pacifica consistently operate with a greater beat frequency and smaller stroke amplitude than E. superba for each swimming mode, suggesting that length scale may affect the kinematics needed to achieve similar swimming modes. To expand on this observation, these euphausiid data are used in combination with previously-published stroke kinematics from mysids and stomatopods to identify broad trends across swimming mode and length scale in metachrony. Principal component analysis (PCA) reveals trends in stroke kinematics and Reynolds number as well as the variation among taxonomic order. Overall, larger beat frequencies, stroke amplitudes, between-cycle phase lags, and Reynolds numbers are more representative of the fast forward swimming mode compared to the slower hovering mode. Additionally, each species has a unique combination of kinematics that result in metachrony, indicating that there are other factors, perhaps morphological, which affect the overall metachronal characteristics of an organism. Finally, uniform phase lag, in which the timing between power strokes of all pleopods is equal, in 5-paddle systems is achieved at different Reynolds numbers for different swimming modes, highlighting the importance of taking into consideration stroke kinematics, length scale, and the resulting swimming mode.
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Affiliation(s)
- Melissa Ruszczyk
- Ocean Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332
| | - Donald R Webster
- Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332
| | - Jeannette Yen
- Biological Sciences, Georgia Institute of Technology, Atlanta, GA 30332
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6
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Letendre F, Cameron CB. The capture of crude oil droplets by filter feeders at high and low Reynolds numbers. J Exp Biol 2022; 225:275171. [PMID: 35389496 DOI: 10.1242/jeb.243819] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2021] [Accepted: 03/29/2022] [Indexed: 11/20/2022]
Abstract
Crustacean filter feeders capture oil droplets with the use of their ramified appendages. These appendages behave as paddles or sieves, based on the system's Reynolds number. Here we used high-speed videography, scanning electron microscopy and fluid mechanics to study the capturing mechanisms of crude oil droplets and the filtering appendage's wettability by two species of barnacles (Balanus glandula and Balanus crenatus) and of the freshwater cladoceran Daphnia magna. Our results show that barnacles appendages will behave as paddles and capture droplets in their boundary layers at low Reynolds number. At high Reynolds number, droplets are most likely to be captured via direct interception. There is an intermediate range of Reynolds number where droplets can be captured by both mechanisms at the same time. Daphnia magna captures droplets in the boundary layers of the third and fourth pair of thoracic legs with a metachronal motion of the appendages. All studied surfaces were revealed to be highly lipophobic, demonstrating captured oil droplets with high contact angles. We also discuss implications of such capture mechanisms and wettability on potential ingestion of crude oil by filter feeders. These results further our understanding of the capture of crude oil by filter feeders, shedding light onto the main entry point of oil in the marine food webs.
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Affiliation(s)
- Francis Letendre
- Département de sciences biologiques, Complexe des sciences, Université de Montréal, 1375 Avenue Thérèse-Lavoie-Roux, Montréal, Québec, H2V 0B3, Canada
| | - Christopher B Cameron
- Département de sciences biologiques, Complexe des sciences, Université de Montréal, 1375 Avenue Thérèse-Lavoie-Roux, Montréal, Québec, H2V 0B3, Canada
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7
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Baldwin T, Battista NA. Hopscotching jellyfish: combining different duty cycle kinematics can lead to enhanced swimming performance. BIOINSPIRATION & BIOMIMETICS 2021; 16:066021. [PMID: 34584025 DOI: 10.1088/1748-3190/ac2afe] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2021] [Accepted: 09/28/2021] [Indexed: 06/13/2023]
Abstract
Jellyfish (Medusozoa) have been deemed the most energy-efficient animals in the world. Their bell morphology and relatively simple nervous systems make them attractive to robotocists. Although, the science community has devoted much attention to understanding their swimming performance, there is still much to be learned about the jet propulsive locomotive gait displayed by prolate jellyfish. Traditionally, computational scientists have assumed uniform duty cycle kinematics when computationally modeling jellyfish locomotion. In this study we used fluid-structure interaction modeling to determine possible enhancements in performance from shuffling different duty cycles together across multiple Reynolds numbers and contraction frequencies. Increases in speed and reductions in cost of transport were observed as high as 80% and 50%, respectively. Generally, the net effects were greater for cases involving lower contraction frequencies. Overall, robust duty cycle combinations were determined that led to enhanced or impeded performance.
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Affiliation(s)
- Tierney Baldwin
- Department of Mathematics and Statistics, The College of New Jersey, 2000 Pennington Road, Ewing Township, NJ 08628, United States of America
| | - Nicholas A Battista
- Department of Mathematics and Statistics, The College of New Jersey, 2000 Pennington Road, Ewing Township, NJ 08628, United States of America
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8
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Ford MP, Santhanakrishnan A. On the role of phase lag in multi-appendage metachronal swimming of euphausiids. BIOINSPIRATION & BIOMIMETICS 2021; 16:066007. [PMID: 33171451 DOI: 10.1088/1748-3190/abc930] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2020] [Accepted: 11/10/2020] [Indexed: 06/11/2023]
Abstract
Metachronal paddling is a common method of drag-based aquatic propulsion, in which a series of swimming appendages are oscillated, with the motion of each appendage phase-shifted relative to the neighboring appendages. Ecologically and economically important euphausiid species such as Antarctic krill (Euphausia superba) swim constantly by stroking their paddling appendages (pleopods), with locomotion accounting for the bulk of their metabolic expenditure. They tailor their swimming gaits for behavioral and energetic needs by changing pleopod kinematics. The functional importance of inter-pleopod phase lag (ϕ) to metachronal swimming performance and wake structure is unknown. To examine this relation, we developed a geometrically and dynamically scaled robot ('krillbot') capable of self-propulsion. Krillbot pleopods were prescribed to mimic published kinematics of fast-forward swimming (FFW) and hovering (HOV) gaits ofE. superba, and the Reynolds number and Strouhal number of the krillbot matched well with those calculated for freely-swimmingE. superba. In addition to examining published kinematics with unevenϕbetween pleopod pairs, we modifiedE. superbakinematics to uniformly varyϕfrom 0% to 50% of the cycle. Swimming speed and thrust were largest for FFW withϕbetween 15%-25%, coincident withϕrange observed in FFW gait ofE. superba. In contrast to synchronous rowing (ϕ= 0%) where distances between hinged joints of adjacent pleopods were nearly constant throughout the cycle, metachronal rowing (ϕ> 0%) brought adjacent pleopods closer together and moved them farther apart. This factor minimized body position fluctuation and augmented metachronal swimming speed. Though swimming speed was lowest for HOV, a ventrally angled downward jet was generated that can assist with weight support during feeding. In summary, our findings show that inter-appendage phase lag can drastically alter both metachronal swimming speed and the large-scale wake structure.
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Affiliation(s)
- Mitchell P Ford
- School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078, United States of America
| | - Arvind Santhanakrishnan
- School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078, United States of America
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9
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Byron M, Santhanakrishnan A, Murphy D. Metachronal Coordination of Multiple Appendages for Swimming and Pumping. Integr Comp Biol 2021; 61:1561-1566. [PMID: 34410387 DOI: 10.1093/icb/icab181] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2021] [Revised: 05/14/2021] [Accepted: 08/17/2021] [Indexed: 11/13/2022] Open
Abstract
As a strategy for creating fluid flow, metachronal motion is widespread across sizes and species, including a broad array of morphologies, length scales, and coordination patterns. Because of this great diversity, it has not generally been viewed holistically: the study of metachrony for swimming and pumping has historically been taxonomically siloed, in spite of many commonalities between seemingly disparate organisms. The goal of the present symposium was to bring together individuals from different backgrounds, all of whom have made substantial individual contributions to our understanding of the fluid dynamics of metachronal motion. Because these problems share a common physical-mathematical basis, intentionally connecting this community is likely to yield future collaborations and significant scientific discovery. Here, we briefly introduce the concept of metachronal motion, present the benefits of creating a research network based on the common aspects of metachrony across biological systems, and outline the contributions to the symposium.
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Affiliation(s)
| | | | - David Murphy
- University of South Florida, Mechanical Engineering
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10
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Herrera-Amaya A, Seber EK, Murphy DW, Patry WL, Knowles TS, Bubel MM, Maas AE, Byron ML. Spatiotemporal Asymmetry in Metachronal Rowing at Intermediate Reynolds Numbers. Integr Comp Biol 2021; 61:1579-1593. [PMID: 34410363 DOI: 10.1093/icb/icab179] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/31/2021] [Revised: 06/15/2021] [Accepted: 08/17/2021] [Indexed: 11/13/2022] Open
Abstract
In drag-based swimming, individual propulsors operating at low Reynolds numbers (where viscous forces dominate over inertial forces) must execute a spatially asymmetric stroke to produce net fluid displacement. Temporal asymmetry (that is, differing duration between the power vs. recovery stroke) does not affect the overall generated thrust in this time-reversible regime. Metachronal rowing, in which multiple appendages beat sequentially, is used by a wide variety of organisms from low to intermediate Reynolds numbers. At the upper end of this range, inertia becomes important, and increasing temporal asymmetry can be an effective way to increase thrust. However, the combined effects of spatial and temporal asymmetry are not fully understood in the context of metachronal rowing. To explore the role of spatiotemporal asymmetry in metachronal rowing, we combine laboratory experiments and reduced-order analytical modeling. We measure beat kinematics and generated flows in two species of lobate ctenophores across a range of body sizes, from 7 mm to 40 mm in length. We observe characteristically different flows in ctenophores of differing body size and Reynolds number, and a general decrease in spatial asymmetry and increase in temporal asymmetry with increasing Reynolds number. We also construct a one-dimensional mathematical model consisting of a row of oscillating flat plates whose flow-normal areas change with time, and use it to explore the propulsive forces generated across a range of Reynolds numbers and kinematic parameters. The model results show that while both types of asymmetry increase force production, they have different effects in different regions of the parameter space. These results may have strong biological implications, as temporal asymmetry can be actively controlled while spatial asymmetry is likely to be partially or entirely driven by passive fluid-structure interaction.
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11
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Ford MP, Santhanakrishnan A. Closer appendage spacing augments metachronal swimming speed by promoting tip vortex interactions. Integr Comp Biol 2021; 61:1608-1618. [PMID: 34050744 DOI: 10.1093/icb/icab112] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Abstract
Numerous species of aquatic invertebrates, including crustaceans, swim by oscillating multiple closely spaced appendages. The coordinated, out-of-phase motion of these appendages, known as "metachronal paddling", has been well-established to improve swimming performance relative to synchronous paddling. Invertebrates employing this propulsion strategy cover a wide range of body sizes and shapes, but the ratio of appendage spacing (G) to the appendage length (L) has been reported to lie in a comparatively narrow range of 0.2 < G/L ≤ 0.65. The functional role of G/L on metachronal swimming performance is unknown. We hypothesized that for a given Reynolds number and stroke amplitude, hydrodynamic interactions promoted by metachronal stroke kinematics with small G/L can increase forward swimming speed. We used a dynamically scaled self-propelling robot to comparatively examine swimming performance and wake development of metachronal and synchronous paddling under varying G/L, phase lag, and stroke amplitude. G/L was varied from 0.4 to 1.5, with the expectation that when G/L is large, there should be no performance difference between metachronal and synchronous paddling due to a lack of interaction between vortices that form on the appendages. Metachronal stroking at non-zero phase lag with G/L in the biological range produced faster swimming speeds than synchronous stroking. As G/L increased and as stroke amplitude decreased, the influence of phase lag on the swimming speed of the robot was reduced. For smaller G/L, vortex interactions between adjacent appendages generated a horizontally-oriented wake and increased momentum fluxes relative to larger G/L, which contributed to increasing swimming speed. We find that while metachronal motion augments swimming performance for closely spaced appendages (G/L < 1), moderately spaced appendages (1.0 ≤ G/L ≤ 1.5) can benefit from metachronal motion only when the stroke amplitude is large.
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Affiliation(s)
- Mitchell P Ford
- School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078, USA
| | - Arvind Santhanakrishnan
- School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078, USA
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12
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Byron ML, Murphy DW, Katija K, Hoover AP, Daniels J, Garayev K, Takagi D, Kanso E, Gemmell BJ, Ruszczyk M, Santhanakrishnan A. Metachronal motion across scales: current challenges and future directions. Integr Comp Biol 2021; 61:1674-1688. [PMID: 34048537 DOI: 10.1093/icb/icab105] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023] Open
Abstract
Metachronal motion is used across a wide range of organisms for a diverse set of functions. However, despite its ubiquity, analysis of this behavior has been difficult to generalize across systems. Here we provide an overview of known commonalities and differences between systems that use metachrony to generate fluid flow. We also discuss strategies for standardizing terminology and defining future investigative directions that are analogous to other established subfields of biomechanics. Lastly, we outline key challenges that are common to many metachronal systems, opportunities that have arisen due to the advent of new technology (both experimental and computational), and next steps for community development and collaboration across the nascent network of metachronal researchers.
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Affiliation(s)
| | - David W Murphy
- University of South Florida, 4202 E. Fowler Ave, Tampa, FL, 33620, USA
| | - Kakani Katija
- Monterey Bay Aquarium Research Institute, 7700 Sandholdt Rd, Moss Landing, CA, 95039, USA
| | | | - Joost Daniels
- Monterey Bay Aquarium Research Institute, 7700 Sandholdt Rd, Moss Landing, CA, 95039, USA
| | - Kuvvat Garayev
- University of South Florida, 4202 E. Fowler Ave, Tampa, FL, 33620, USA
| | - Daisuke Takagi
- University of Hawaii at Manoa, 2500 Campus Rd, Honolulu, HI, 96822
| | - Eva Kanso
- University of Southern California, University Park, Los Angeles, CA, 90007
| | | | - Melissa Ruszczyk
- Georgia Institute of Technology, 310 Ferst Dr, Atlanta, GA, 30332, USA
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13
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Hoover AP. Emergent metachronal waves using tension-driven, fluid-structure interaction models of tomopterid parapodia. Integr Comp Biol 2021; 61:1594-1607. [PMID: 34028537 DOI: 10.1093/icb/icab088] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022] Open
Abstract
Metachronal waves are ubiquitous in propulsive and fluid transport systems across many different scales and morphologies in the biological world. Tomopterids are a soft-bodied, holopelagic polychaete that use metachrony with their flexible, gelatinous parapodia to deftly navigate the midwater ocean column that they inhabit. In the following study, we develop a three-dimensional, fluid-structure interaction model of a tomopterid parapodium to explore the emergent metachronal waves formed from the interplay of passive body elasticity, active muscular tension, and hydrodynamic forces. After introducing our model, we examine the effects that varying material properties have on the stroke of an individual parapodium. We then explore the temporal dynamics when multiple parapodia are placed sequentially and how differences in the phase can alter the collective kinematics and resulting flow field.
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Affiliation(s)
- Alexander P Hoover
- The University of Akron, Department of Mathematics, Akron, OH, 44135, USA
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14
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Garayev K, Murphy DW. Metachronal swimming of mantis shrimp: kinematics and interpleopod vortex interactions. Integr Comp Biol 2021; 61:1631-1643. [PMID: 33997904 DOI: 10.1093/icb/icab052] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023] Open
Abstract
Mantis shrimp swim via metachronal rowing, a pattern in which the pleopods (swimming limbs) stroke sequentially, starting with the last pair and followed by anterior neighbors. A similar swimming pattern is used at various sizes, Reynolds numbers, and advance ratios by diverse organisms including ciliates, ctenophores, copepods, krill, and lobsters. Understanding this type of locomotion is important because it is widespread and may inspire the design of underwater vehicles where efficiency, robustness, and maneuverability are desired. However, detailed measurements of the flow around free-swimming, metachronally rowing organisms are scarce, especially for organisms swimming in a high Reynolds number regime (Re ≥ 104). In this study, we present time-resolved, planar PIV measurements of a swimming peacock mantis shrimp (Odontodactylus scyllarus). Simultaneous kinematics measurements of the animal, which had body and pleopod lengths of 114 mm and 20 mm, respectively, reveal mean swimming speeds of 0.2-1.9 m s - 1 and pleopod beat frequencies of 3.6-13 Hz, corresponding to advance ratios of 0.75-1.84 and body-based Reynolds numbers of 23,000-217,000. Further, the animal's stroke is not purely metachronal, with a long phase lag between initiation of the first and fifth pleopod power strokes. Flow measurements in the sagittal plane show that each stroking pleopod pair creates a posteriorly moving tip vortex which evades destruction by the recovery strokes of other pleopod pairs. The vortex created by the anteriormost pleopod pair is the strongest and, owing to the animal's high advance ratio, is intercepted by the power stroke of the posteriormost pleopod pair. The vortex strength increases as a result of this interaction, which may increase swimming speed or efficiency. A relationship for vortex interception by the posterior pleopod is proposed that relates the phase lag between the interacting pleopods to the beat frequency, distance between those pleopods, and speed of the vortex relative to the animal. We describe this interaction with a novel parameter called the interpleopod vortex phase matching Strouhal number StIVPM which is equal to the phase lag between interacting pleopods. This new nondimensional parameter may be useful in predicting the conditions where a constructive interaction may occur in other species or in physical models. Finally, we relate the advance ratio to the Reynolds number ratio, the ratio between the body-based Reynolds number and the pleopod-based Reynolds number. The importance of these parameters in promoting the interpleopod vortex interactions identified here, in dynamically scaled experiments, and in wake signatures behind schooling metachronal swimmers is discussed.
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Affiliation(s)
- Kuvvat Garayev
- Department of Mechanical Engineering, University of South Florida, Tampa, FL 33620
| | - David W Murphy
- Department of Mechanical Engineering, University of South Florida, Tampa, FL 33620
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Grams M, Richter S. Locomotion in Anaspides (Anaspidacea, Malacostraca) – insights from a morpho-functional study of thoracopods with some observations on swimming and walking. ZOOLOGY 2021; 144:125883. [DOI: 10.1016/j.zool.2020.125883] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2020] [Revised: 11/12/2020] [Accepted: 11/13/2020] [Indexed: 11/27/2022]
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16
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Colin SP, Costello JH, Sutherland KR, Gemmell BJ, Dabiri JO, Du Clos KT. The role of suction thrust in the metachronal paddles of swimming invertebrates. Sci Rep 2020; 10:17790. [PMID: 33082456 PMCID: PMC7576154 DOI: 10.1038/s41598-020-74745-y] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2020] [Accepted: 10/06/2020] [Indexed: 12/21/2022] Open
Abstract
An abundance of swimming animals have converged upon a common swimming strategy using multiple propulsors coordinated as metachronal waves. The shared kinematics suggest that even morphologically and systematically diverse animals use similar fluid dynamic relationships to generate swimming thrust. We quantified the kinematics and hydrodynamics of a diverse group of small swimming animals who use multiple propulsors, e.g. limbs or ctenes, which move with antiplectic metachronal waves to generate thrust. Here we show that even at these relatively small scales the bending movements of limbs and ctenes conform to the patterns observed for much larger swimming animals. We show that, like other swimming animals, the propulsors of these metachronal swimmers rely on generating negative pressure along their surfaces to generate forward thrust (i.e., suction thrust). Relying on negative pressure, as opposed to high pushing pressure, facilitates metachronal waves and enables these swimmers to exploit readily produced hydrodynamic structures. Understanding the role of negative pressure fields in metachronal swimmers may provide clues about the hydrodynamic traits shared by swimming and flying animals.
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Affiliation(s)
- Sean P Colin
- Roger Williams University, Bristol, RI, 02809, USA. .,Marine Biological Laboratory, Woods Hole, MA, 02543, USA.
| | - John H Costello
- Marine Biological Laboratory, Woods Hole, MA, 02543, USA.,Providence College, Providence, RI, 02918, USA
| | | | | | - John O Dabiri
- California Institute of Technology, Pasadena, CA, 91125, USA
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17
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Wong JY, Chan BKK, Chan KYK. Swimming kinematics and hydrodynamics of barnacle larvae throughout development. Proc Biol Sci 2020; 287:20201360. [PMID: 33049170 PMCID: PMC7657860 DOI: 10.1098/rspb.2020.1360] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/10/2020] [Accepted: 09/21/2020] [Indexed: 11/12/2022] Open
Abstract
Changes in size strongly influence organisms' ecological performances. For aquatic organisms, they can transition from viscosity- to inertia-dominated fluid regimes as they grow. Such transitions are often associated with changes in morphology, swimming speed and kinematics. Barnacles do not fit into this norm as they have two morphologically distinct planktonic larval phases that swim differently but are of comparable sizes and operate in the same fluid regime (Reynolds number 100-101). We quantified the hydrodynamics of the rocky intertidal stalked barnacle Capitulum mitella from the nauplius II to cyprid stage and examined how kinematics and size increases affect its swimming performance. Cyprids beat their appendages in a metachronal wave to swim faster, more smoothly, and with less backwards slip per beat cycle than did all naupliar stages. Micro-particle image velocimetry showed that cyprids generated trailing viscous vortex rings that pushed water backwards for propulsion, contrary to the nauplii's forward suction current for particle capture. Our observations highlight that zooplankton swimming performance can shift via morphological and kinematic modifications without a significant size increase. The divergence in ecological functions through ontogeny in barnacles and the removal of feeding requirement likely contributed to the evolution of the specialized, taxonomically unique cyprid phase.
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Affiliation(s)
- J. Y. Wong
- Department of Life Science, National Taiwan Normal University, Taipei 11677, Taiwan
- Biodiversity Program, Taiwan International Graduate Program, Academia Sinica, Taipei 11529, Taiwan
- Biodiversity Research Center, Academia Sinica, Taipei 11529, Taiwan
| | - Benny K. K. Chan
- Biodiversity Research Center, Academia Sinica, Taipei 11529, Taiwan
| | - K. Y. Karen Chan
- Biology Department, Swarthmore College, Swarthmore, PA 19081, USA
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18
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Ford MP, Lai HK, Samaee M, Santhanakrishnan A. Hydrodynamics of metachronal paddling: effects of varying Reynolds number and phase lag. ROYAL SOCIETY OPEN SCIENCE 2019; 6:191387. [PMID: 31824735 PMCID: PMC6837200 DOI: 10.1098/rsos.191387] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2019] [Accepted: 09/20/2019] [Indexed: 05/13/2023]
Abstract
Negatively buoyant freely swimming crustaceans such as krill must generate downward momentum in order to maintain their position in the water column. These animals use a drag-based propulsion strategy, where pairs of closely spaced swimming limbs are oscillated rhythmically from the tail to head. Each pair is oscillated with a phase delay relative to the neighbouring pair, resulting in a metachronal wave travelling in the direction of animal motion. It remains unclear how oscillations of limbs in the horizontal plane can generate vertical momentum. Using particle image velocimetry measurements on a robotic model, we observed that metachronal paddling with non-zero phase lag created geometries of adjacent paddles that promote the formation of counter-rotating vortices. The interaction of these vortices resulted in generating large-scale angled downward jets. Increasing phase lag resulted in more vertical orientation of the jet, and phase lags in the range used by Antarctic krill produced the most total momentum. Synchronous paddling produced lower total momentum when compared with metachronal paddling. Lowering Reynolds number by an order of magnitude below the range of adult krill (250-1000) showed diminished downward propagation of the jet and lower vertical momentum. Our findings show that metachronal paddling is capable of producing flows that can generate both lift (vertical) and thrust (horizontal) forces needed for fast forward swimming and hovering.
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Affiliation(s)
| | | | | | - Arvind Santhanakrishnan
- School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078, USA
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19
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Peña M, González-Quirós R, Munuera-Fernández I, González F, Romero-Romero S, Nogueira E. Vertical distribution and aggregation patterns of krill (Crustacea: Euphausiacea) in the Bay of Biscay: interannual and seasonal variability. CAN J ZOOL 2019. [DOI: 10.1139/cjz-2018-0119] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Studies of krill (Crustacea: Euphausiacea) in oceanic waters of the Bay of Biscay are scarce and restricted to the epipelagic zone, overlooking vertical dynamics such as diurnal vertical migration (DVM). There is a growing interest in acoustically evaluating the biomass of krill in this area, but this requires a good knowledge of its vertical dynamics and aggregation patterns. In this work we employed acoustic data and net samples from two consecutive annual surveys covering a wide off-shelf area of the Bay of Biscay (JUVENA surveys of 2013 and 2014) and four seasonal surveys covering slope and oceanic waters in the Cantabrian Sea (SCAPA surveys of 2015). Vertical dynamics of krill were analyzed in the frame of the environmental seascape. High interannual and seasonal variations in the vertical distribution and aggregation patterns (small swarms, dense aggregations, or loose layers) of krill were observed. The vertical distribution covaried with dissolved oxygen and salinity. According to our findings, the best season to acoustically evaluate krill in the Bay of Biscay is spring, with the bulk of the biomass located above 600 m depth. Moreover, extending the acoustic recording beyond the epipelagic zone is mandatory for any season.
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Affiliation(s)
- M. Peña
- Instituto Español de Oceanografía, Centro Oceanográfico de Baleares, 07015 Palma, Spain
| | - R. González-Quirós
- Instituto Español de Oceanografía, Centro Oceanográfico de Gijón, 33212 Gijón, Asturias, Spain
| | - I. Munuera-Fernández
- Instituto Español de Oceanografía, Centro Oceanográfico de Gijón, 33212 Gijón, Asturias, Spain
| | - F. González
- Instituto Español de Oceanografía, Centro Oceanográfico de Gijón, 33212 Gijón, Asturias, Spain
| | | | - E. Nogueira
- Instituto Español de Oceanografía, Centro Oceanográfico de Vigo, 36390 Vigo, Pontevedra, Spain
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The Three Dimensional Spatial Structure of Antarctic Krill Schools in the Laboratory. Sci Rep 2019; 9:381. [PMID: 30674981 PMCID: PMC6344640 DOI: 10.1038/s41598-018-37379-9] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/02/2018] [Accepted: 12/03/2018] [Indexed: 11/08/2022] Open
Abstract
Animal positions within moving groups may reflect multiple motivations including saving energy and sensing neighbors. These motivations have been proposed for schools of Antarctic krill, but little is known about their three-dimensional structure. Stereophotogrammetric images of Antarctic krill schooling in the laboratory are used to determine statistical distributions of swimming speed, nearest neighbor distance, and three-dimensional nearest neighbor positions. The krill schools swim at speeds of two body lengths per second at nearest neighbor distances of one body length and reach similarly high levels of organization as fish schools. The nearest neighbor position distribution is highly anisotropic and shows that Antarctic krill prefer to swim in the propulsion jet of their anterior neighbor. This position promotes communication and coordination among schoolmates via hydrodynamic signals within the pulsed jet created by the metachronal stroking of the neighboring krill’s pleopods. The hydrodynamic communication channel therefore plays a large role in structuring the school. Further, Antarctic krill avoid having a nearest neighbor directly overhead, possibly to avoid blockage of overhead light needed for orientation. Other factors, including the elongated body shape of Antarctic krill and potential energy savings, also may help determine the three dimensional spatial structure of tightly packed krill schools.
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Abstract
This article assesses the contribution to ocean mixing by the marine biosphere at both high and low Reynolds numbers Re= uℓ/ ν. While back-of-the-envelope estimates have suggested that swimming marine organisms might generate as much high-Reynolds-number turbulence as deep-ocean tide- and wind-generated internal waves, and that turbulent dissipation rates of O(10-5 W kg-1) (Re ∼ 105) could be produced by aggregations of organisms ranging from O(0.01 m) krill to O(10 m) cetaceans, comparable to strong wind and buoyancy forcing near the surface, microstructure measurements do not find consistently elevated dissipation associated with diel vertically migrating krill. Elevated dissipation rates are associated with schools of O(0.1- 1 m) fish but with low mixing coefficients ( γ ∼ 0.002-0.02, as compared with γ ∼ 0.2 for geophysical turbulence). Likewise, viscously induced drift at low Reynolds numbers produces little mixing of temperature, solutes, dissolved nutrients, and gases when realistic swimmers and molecular scalar diffusion are taken into account. The conclusion is that, while the marine biosphere can generate turbulence, it contributes little ocean mixing compared with breaking internal gravity waves.
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Affiliation(s)
- Eric Kunze
- NorthWest Research Associates, Redmond, Washington 98052, USA;
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22
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Murphy DW, Adhikari D, Webster DR, Yen J. Underwater flight by the planktonic sea butterfly. ACTA ACUST UNITED AC 2017; 219:535-43. [PMID: 26889002 DOI: 10.1242/jeb.129205] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
In a remarkable example of convergent evolution, we show that the zooplanktonic sea butterfly Limacina helicina 'flies' underwater in the same way that very small insects fly in the air. Both sea butterflies and flying insects stroke their wings in a characteristic figure-of-eight pattern to produce lift, and both generate extra lift by peeling their wings apart at the beginning of the power stroke (the well-known Weis-Fogh 'clap-and-fling' mechanism). It is highly surprising to find a zooplankter 'mimicking' insect flight as almost all zooplankton swim in this intermediate Reynolds number range (Re=10-100) by using their appendages as paddles rather than wings. The sea butterfly is also unique in that it accomplishes its insect-like figure-of-eight wing stroke by extreme rotation of its body (what we call 'hyper-pitching'), a paradigm that has implications for micro aerial vehicle (MAV) design. No other animal, to our knowledge, pitches to this extent under normal locomotion.
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Affiliation(s)
- David W Murphy
- School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0355, USA
| | - Deepak Adhikari
- School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0355, USA
| | - Donald R Webster
- School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0355, USA
| | - Jeannette Yen
- School of Biology, Georgia Institute of Technology, Atlanta, GA 30332-0230, USA
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Sensory-Motor Systems of Copepods involved in their Escape from Suction Feeding. Integr Comp Biol 2015; 55:121-33. [DOI: 10.1093/icb/icv051] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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