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arxiv: 2601.20421 · v2 · submitted 2026-01-28 · ⚛️ physics.bio-ph

Steer'n Roll: A Stereoscopic Flow-Sensing Strategy for Planktonic Prey Detection and Capture

Pith reviewed 2026-05-16 10:38 UTC · model grok-4.3

classification ⚛️ physics.bio-ph
keywords flow sensingplanktonprey detectionstereoscopic sensingroll motionhydrodynamic disturbancessensory-motor strategycopepods
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0 comments X p. Extension

The pith

Plankton detect and capture prey by combining two flow sensors with a rolling motion to resolve symmetric hydrodynamic signals.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Planktonic organisms must locate swimming prey or sinking particles from the water disturbances these create, but such flow fields are frequently symmetric and give little directional information. The paper introduces the steer'n roll strategy, which pairs stereoscopic sensing from two spatially separated points with a roll about the swimming axis to explore three-dimensional space. Simulations show the approach reaches 100 percent capture success, works for multiple signal types, and holds up under sensing noise, random orientation changes, and turbulence. This supplies a concrete sensory-motor explanation for how small aquatic animals can hunt using only flow cues.

Core claim

The steer'n roll strategy allows plankton to disambiguate symmetric flow signals by integrating two separated flow measurements with a roll motion about the swimming axis that enhances three-dimensional exploration, yielding efficient prey detection and capture.

What carries the argument

Steer'n roll: stereoscopic integration of two spatially separated flow measurements combined with roll rotation about the swimming axis.

If this is right

  • The method reaches 100 percent success in prey-capture simulations.
  • It performs across different types of prey-generated flow signals.
  • Performance stays high when flow-sensing noise, orientational diffusion, and turbulence are added.
  • The combination supplies a biologically plausible mechanism for flow-based prey localization.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Copepods and similar plankton may exhibit observable roll maneuvers while hunting.
  • The same stereo-plus-roll logic could be tested in laboratory flows with controlled symmetry.
  • Robotic micro-swimmers could adopt the strategy for underwater search tasks.
  • If real flows contain weak asymmetries, the required roll amplitude might be smaller than the model assumes.

Load-bearing premise

The flow disturbances created by prey are symmetric enough that directional information is missing unless both stereoscopic comparison and roll motion are used.

What would settle it

A direct observation or simulation of reliable prey capture by plankton that neither rolls nor uses two separated sensors would show the strategy is not required.

Figures

Figures reproduced from arXiv: 2601.20421 by Christophe Eloy, Eva Kanso, Tommaso Redaelli.

Figure 1
Figure 1. Figure 1: Overview of the predator–prey sensing problem and the steer’n roll strategy. (A) Schematic view of the predator-prey problem. The prey, swimming (or sinking) at speed U, generates a fluid disturbance that the predator detects through mechanosensors. The predator speed swims at constant speed V . (B) Reference frames: a prey-fixed Cartesian frame (xˆ, yˆ, zˆ) and and a predator-fixed body frame (nˆ, ˆb, tˆ)… view at source ↗
Figure 2
Figure 2. Figure 2: B C D x̂ ŷ ẑ ξroll = 0.5ξsteer x̂ ŷ ẑ ξroll = 0.2ξsteer x̂ ŷ ẑ ξroll = 0.1ξsteer x̂ ŷ ẑ ξroll = 0 [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Predator’s orientation dynamics. (A) Evolution of tˆ extracted from two of the trajec￾tories shown in Fig. 2B (red and yellow). The dynamics converges to an imperfect limit cycle. (B) Same as A, but in the absence of rotation (V = 0), showing convergence to a perfect limit cycle. (C) Theoretical limit cycle predicted for V = 0 and ωroll = 0, by the fixed-point analysis (see (14)). Thus, the normalized velo… view at source ↗
Figure 4
Figure 4. Figure 4: Performance of steer’n roll. The performance P of the steer’n roll strategy for a predator detecting a stresslet flow field. (A) Direction of maximal strain eˆ1. The light green contour lines show the stresslet flow intensity. (B) Contour plot of the performance P and average swimming direction tˆ for numerically integrated trajectories (V = 0 and ωroll = 0.2 ωsteer). (C). Theoretical prediction of the per… view at source ↗
Figure 5
Figure 5. Figure 5: Robustness to noise. (A) Performance metric P and average trajectories when flow￾sensing is noisy. The red line correspond to the distance r = rsens, as given by Eq. (16). (B) Performance P when the predator’s rotational dynamics is affected by noise with ωnoise = 0.5 ωsteer (this noise does not introduce a scale in the problem and the strategy remains scale-free). (C) Performance P in presence of a backgr… view at source ↗
Figure 6
Figure 6. Figure 6: The measured rsens and rturb distances from the antennae at which a prey (panel (A)) or a mate (panel (B)) can be sensed by the copepod. In panel (A), the gray dashed line show the average experimentally observed distance of copepods successful capture (data from [22]). 11 [PITH_FULL_IMAGE:figures/full_fig_p011_6.png] view at source ↗
read the original abstract

Planktonic organisms such as copepods sense swimming prey and sinking food particles through the hydrodynamic disturbances they generate. However, because these flow fields are often highly symmetric, they provide little directional information, making accurate localization of the source challenging. Here, we introduce the steer'n roll sensing and response strategy. This strategy combines stereoscopic flow sensing and a roll motion. Stereoscopic sensing allows plankton to disambiguate flow signals by integrating two spatially separated flow measurements, while a roll about the swimming axis enhances exploration of the three-dimensional space. We show that steer'n roll is efficient, achieving a 100% success rate, versatile across signal type, and robust to flow sensing noise, orientational diffusion, and turbulence. Together, these findings identify a biologically plausible mechanism for prey detection and capture via flow sensing, and offer testable insights into the sensory-motor strategies of planktonic organisms.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper introduces the 'steer'n roll' strategy, which combines stereoscopic flow sensing (integrating two spatially separated measurements) with roll motion about the swimming axis to enable planktonic organisms to localize and capture prey despite symmetric hydrodynamic disturbances. It reports a 100% success rate across tested conditions, versatility across signal types, and robustness to flow-sensing noise, orientational diffusion, and turbulence.

Significance. If the symmetry assumption holds and the simulation results are reproducible, the work provides a biologically plausible mechanism for prey detection where single-point sensing fails, along with testable predictions for sensory-motor behavior in plankton. The reported robustness across noise and turbulence levels strengthens the case for the strategy's practicality.

major comments (2)
  1. [Abstract and model setup] Abstract and model setup: The central claim of 100% success and necessity of steer'n roll depends on prey flow fields being sufficiently symmetric that single-point sensing yields no directional information. The manuscript should include an explicit sensitivity analysis showing how performance degrades with measured asymmetries (e.g., from body shape or propulsion strokes) rather than assuming perfect symmetry throughout.
  2. [Robustness results] Robustness results: The noise and turbulence models used to demonstrate robustness must be shown to match empirical spectra (e.g., via direct comparison to measured turbulence data); without this, the 100% success rate risks being an artifact of the chosen parameters rather than a general property.
minor comments (1)
  1. [Methods] Clarify whether simulation parameters (e.g., sensing thresholds or roll rates) were fixed a priori or tuned to achieve the reported performance; this affects the strength of the 'parameter-free' or 'robust' claims.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive comments and positive assessment of the work. We address each major comment below and will incorporate the suggested revisions in the next version of the manuscript.

read point-by-point responses
  1. Referee: [Abstract and model setup] Abstract and model setup: The central claim of 100% success and necessity of steer'n roll depends on prey flow fields being sufficiently symmetric that single-point sensing yields no directional information. The manuscript should include an explicit sensitivity analysis showing how performance degrades with measured asymmetries (e.g., from body shape or propulsion strokes) rather than assuming perfect symmetry throughout.

    Authors: We agree that quantifying the impact of asymmetries is valuable. In the revised manuscript we will add an explicit sensitivity analysis that introduces controlled deviations from symmetry (parameterized by body-shape eccentricity and stroke-induced perturbations) and reports the resulting success rates for both single-point sensing and steer'n roll. This will delineate the symmetry threshold at which steer'n roll becomes necessary and demonstrate graceful degradation rather than an abrupt failure. revision: yes

  2. Referee: [Robustness results] Robustness results: The noise and turbulence models used to demonstrate robustness must be shown to match empirical spectra (e.g., via direct comparison to measured turbulence data); without this, the 100% success rate risks being an artifact of the chosen parameters rather than a general property.

    Authors: We acknowledge the importance of empirical grounding. The revised manuscript will include a direct comparison of the adopted turbulence spectrum (Kolmogorov-type with additive sensor noise) against published oceanic turbulence measurements from copepod-relevant habitats. A new figure will overlay model and empirical power spectral densities, with parameter ranges justified by the overlap; this will confirm that the reported robustness holds within observed environmental conditions. revision: yes

Circularity Check

0 steps flagged

No significant circularity; performance claims rest on independent simulation benchmarks

full rationale

The paper defines steer'n roll as a combination of stereoscopic sensing plus roll motion, then evaluates its capture success rate (100%) under added noise, diffusion, and turbulence. These metrics are computed from forward simulations of the strategy against external flow fields and are not algebraically forced by the strategy definition itself. The symmetry assumption on prey disturbances is an explicit modeling input rather than a derived output, and no self-citation chain or fitted-parameter renaming is required to reach the reported robustness results. The derivation therefore remains self-contained against the stated external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard hydrodynamic models of Stokes flow around small particles and on the assumption that real copepod sensors can perform the described spatial integration; no new physical constants or ad-hoc entities are introduced.

axioms (2)
  • domain assumption Hydrodynamic disturbances from prey are modeled as symmetric Stokes flow fields
    Invoked in the abstract to justify why single-point sensing fails to provide direction.
  • domain assumption Copepods can integrate two spatially separated flow measurements in real time
    Central to the stereoscopic component; treated as biologically plausible but not derived.

pith-pipeline@v0.9.0 · 5456 in / 1345 out tokens · 24080 ms · 2026-05-16T10:38:26.454194+00:00 · methodology

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Works this paper leans on

56 extracted references · 56 canonical work pages · 1 internal anchor

  1. [1]

    Reinforcement learn- ing for pursuit and evasion of microswimmers at low reynolds number.Physical Review Fluids, 7(2):023103, 2022

    Francesco Borra, Luca Biferale, Massimo Cencini, and Antonio Celani. Reinforcement learn- ing for pursuit and evasion of microswimmers at low reynolds number.Physical Review Fluids, 7(2):023103, 2022

  2. [2]

    Escape behavior of planktonic copepods in response to hydrodynamic disturbances: high speed video analysis.Marine Ecology Progress Series, 235:135– 146, 2002

    EJ Buskey, PH Lenz, and DK Hartline. Escape behavior of planktonic copepods in response to hydrodynamic disturbances: high speed video analysis.Marine Ecology Progress Series, 235:135– 146, 2002

  3. [3]

    The feeding ecology of the copepod centropages typicus (kr¨ oyer).Progress in Oceanography, 72(2-3):137–150, 2007

    Albert Calbet, Fran¸ cois Carlotti, and Raymond Gaudy. The feeding ecology of the copepod centropages typicus (kr¨ oyer).Progress in Oceanography, 72(2-3):137–150, 2007

  4. [4]

    A. T. Chwang and T. Y. Wu. Hydromechanics of low-reynolds-number flow. part 2. singularity method for stokes flows.J. Fluid. Mech, 67:787–815, 1975

  5. [5]

    Colvert, K

    B. Colvert, K. Chen, and E. Kanso. Local flow chacaterization using bioinspired sensory infor- mation.J. Fluid Mech., 2017

  6. [6]

    Colvert, K

    B. Colvert, K. K. Chen, and E. Kanso. Bioinspired sensory systems for shear flow detection.J. Nonlinear Sci., 2017

  7. [7]

    Dario Cortese and Kirsty Y. Wan. Control of helical navigation by three-dimensional flagellar beating.Phys. Rev. Lett., 126:088003, Feb 2021

  8. [8]

    Oxford University Press, 2014

    Charles Derby and Martin Thiel.Nervous systems and control of behavior. Oxford University Press, 2014

  9. [9]

    J.K.G. Dhont. An introduction to dynamics of colloids.Elsevier Science, 1996

  10. [10]

    Drescher, R

    K. Drescher, R. E. Goldstein, N. Michel, M. Polin, and I. Tuval. Direct measurement of the flow field around swimming microorganisms.Phys. Rev. Lett., 105:168101, Oct 2010

  11. [11]

    Phytoplankton in a turbulent world.Scientia Marina, 61:125–140, 1997

    MARTA Estrada and ELISA Berdalet. Phytoplankton in a turbulent world.Scientia Marina, 61:125–140, 1997

  12. [12]

    T.o.m. Fenchel. How dinoflagellates swim.Protist, 152(4):329–338, 2001

  13. [13]

    Mechanical and neural responses from the mechanosensory hairs on the antennule of gaussia princeps.Marine Ecology Progress Series, 227:173–186, 2002

    David M Fields, DS Shaeffer, and Marc J Weissburg. Mechanical and neural responses from the mechanosensory hairs on the antennule of gaussia princeps.Marine Ecology Progress Series, 227:173–186, 2002

  14. [14]

    Fuchs and Gregory P

    Heido L. Fuchs and Gregory P. Gerbi. Seascape-level variation in turbulence- and wave-generated hydrodynamic signals experienced by plankton.Progress in Oceanography, 105(141):109–129, 2016

  15. [15]

    Turbulence decreases the hydrodynamic predator sensing ability of the calanoid copepod acartia tonsa.Journal of Plankton Research, 27(10):1067–1071, 2005

    Owen M Gilbert and Edward J Buskey. Turbulence decreases the hydrodynamic predator sensing ability of the calanoid copepod acartia tonsa.Journal of Plankton Research, 27(10):1067–1071, 2005. 12

  16. [16]

    Mechanisms of sound localization in mammals.Physiological Reviews, 90(3):983–1012, 2010

    Benedikt Grothe, Michael Pecka, and David McAlpine. Mechanisms of sound localization in mammals.Physiological Reviews, 90(3):983–1012, 2010

  17. [17]

    Happel and H

    J. Happel and H. Brenner.Low Reynolds number hydrodynamics, volume 1 ofMechanics of fluids and transport processes. Springer Netherlands, Dordrecht, 1981

  18. [18]

    Hardy.The Open Sea

    A. Hardy.The Open Sea. The World of Plankton.London: Collins, 1970

  19. [19]

    Climate change and marine plank- ton.Trends in ecology & evolution, 20(6):337–344, 2005

    Graeme C Hays, Anthony J Richardson, and Carol Robinson. Climate change and marine plank- ton.Trends in ecology & evolution, 20(6):337–344, 2005

  20. [20]

    How many copepods? InEcology and Morphology of Copepods: Proceedings of the 5th International Conference on Copepoda, Baltimore, USA, June 6–13, 1993, pages 1–7

    Arthur G Humes. How many copepods? InEcology and Morphology of Copepods: Proceedings of the 5th International Conference on Copepoda, Baltimore, USA, June 6–13, 1993, pages 1–7. Springer, 1994

  21. [21]

    Jiang and G

    H. Jiang and G. A. Paffenh¨ ofer. Hydrodynamic signal perception by the copepod oithona plumifera.Mar. Ecol. Prog. Ser., 373:37–52, 2008

  22. [22]

    Tiselius

    Per Jonsson and P. Tiselius. Feeding behavior, prey detection and capture efficiency of the copepod acartia tonsa feeding on planktonic ciliates.Marine Ecology Progress Series, 60, 02 1990

  23. [23]

    Kim and S

    S. Kim and S. Karilla. Microhydrodynamics. principles and selected applications.Dover, 2005

  24. [24]

    Jiang, and S

    Thomas Kiørboe, H. Jiang, and S. P. Colin. Danger of zooplankton feeding: the fluid signal generated by ambush-feeding copepods.Proceedings of the Royal Society B: Biological Sciences, 277(1698):3229–3237, 2010

  25. [25]

    To eat and not be eaten: optimal foraging behaviour in suspension feeding copepods.Journal of the Royal Society Interface, 10(78):20120693, 2013

    Thomas Kiørboe and Houshuo Jiang. To eat and not be eaten: optimal foraging behaviour in suspension feeding copepods.Journal of the Royal Society Interface, 10(78):20120693, 2013

  26. [26]

    Planktivorous feeding in calm and turbulent environments, with emphasis on copepods.Marine Ecology Progress Series, pages 135–145, 1995

    Thomas Kiørboe and Enric Saiz. Planktivorous feeding in calm and turbulent environments, with emphasis on copepods.Marine Ecology Progress Series, pages 135–145, 1995

  27. [27]

    Hydrodynamic signal perception in the copepod acartia tonsa.Marine Ecology Progress Series, pages 97–111, 1999

    Thomas Kiørboe, Enric Saiz, and Andre Visser. Hydrodynamic signal perception in the copepod acartia tonsa.Marine Ecology Progress Series, pages 97–111, 1999

  28. [28]

    The hydrodynamics of swimming microorganisms

    E. Lauga and T. R. Powers. The hydrodynamics of swimming microorganisms.Reports on Progress in Physics, 72(9):096601, September 2009. arXiv: 0812.2887

  29. [29]

    Sensory specialization along the first antenna of a calanoid copepod, pleuromamma xiphias (crustacea).Marine & Freshwater Behaviour & Phy, 27(2-3):213–221, 1996

    Petra H Lenz, Tina M Weatherby, Wendy Weber, and Katy K Wong. Sensory specialization along the first antenna of a calanoid copepod, pleuromamma xiphias (crustacea).Marine & Freshwater Behaviour & Phy, 27(2-3):213–221, 1996

  30. [30]

    Leptos, Maurizio Chioccioli, Silvano Furlan, Adriana I

    Kyriacos C. Leptos, Maurizio Chioccioli, Silvano Furlan, Adriana I. Pesci, and Raymond E. Gold- stein. Phototaxis of chlamydomonas arises from a tuned adaptive photoresponse shared with multicellular volvocine green algae.Phys. Rev. E, 107:014404, Jan 2023

  31. [31]

    The structure and evolution of plankton communities.Progress in Oceanog- raphy, 15(1):1–35, 1985

    Alan R Longhurst. The structure and evolution of plankton communities.Progress in Oceanog- raphy, 15(1):1–35, 1985

  32. [32]

    M. F. L´ egier-Visser, J. G. Mitchell, A. Okubo, and J. A. Fuhrman. Mechanoreception in calanoid copepods.Marine Biology, 90(4):529–535, 1986

  33. [33]

    Zooplankton can actively adjust their motility to turbulent flow.Proceedings of the National Academy of Sciences, 114(52):E11199–E11207, 2017

    Fran¸ cois-Ga¨ el Michalec, Itzhak Fouxon, Sami Souissi, and Markus Holzner. Zooplankton can actively adjust their motility to turbulent flow.Proceedings of the National Academy of Sciences, 114(52):E11199–E11207, 2017

  34. [34]

    Turbulence triggers vigorous swim- ming but hinders motion strategy in planktonic copepods.Journal of the Royal Society Interface, 12(106):20150158, 2015

    Fran¸ cois-Ga¨ el Michalec, Sami Souissi, and Markus Holzner. Turbulence triggers vigorous swim- ming but hinders motion strategy in planktonic copepods.Journal of the Royal Society Interface, 12(106):20150158, 2015. 13

  35. [35]

    Kacie T. M. Niimoto, Kyleigh J. Kuball, Lauren N. Block, Petra H. Lenz, and Daisuke Takagi. Rotational maneuvers of copepod nauplii at low reynolds number.Fluids, 5(2), 2020

  36. [36]

    Zooplankton in flowing water near benthic communities encounter rapidly fluctuating velocity gradients and accelerations.Marine Biology, 162:1939–1954, 2015

    Rachel E Pepper, Jules S Jaffe, Evan Variano, and MAR Koehl. Zooplankton in flowing water near benthic communities encounter rapidly fluctuating velocity gradients and accelerations.Marine Biology, 162:1939–1954, 2015

  37. [37]

    Pozrikidis

    C. Pozrikidis. Boundary integral and singularity methods for linearized viscous flow.Cambridge University Press, 1992

  38. [38]

    The turbulent life of copepods: effects of water flow over a coral reef on their ability to detect and evade predators.Marine Ecology Progress Series, 349:171–181, 2007

    H Eve Robinson, Christopher M Finelli, and Edward J Buskey. The turbulent life of copepods: effects of water flow over a coral reef on their ability to detect and evade predators.Marine Ecology Progress Series, 349:171–181, 2007

  39. [39]

    Photosensitivity of the calanoid copepod acartia tonsa.Marine Biology, 82:85–89, 1984

    DE Stearns and RB Forward. Photosensitivity of the calanoid copepod acartia tonsa.Marine Biology, 82:85–89, 1984

  40. [40]

    Zooplankton and the ocean carbon cycle.Annual review of marine science, 9(1):413–444, 2017

    Deborah K Steinberg and Michael R Landry. Zooplankton and the ocean carbon cycle.Annual review of marine science, 9(1):413–444, 2017

  41. [41]

    Setae of the first antennae of the copepod cyclops scutifer (sars): their structure and importance.Proceedings of the National Academy of Sciences, 70(9):2656– 2659, 1973

    J Rudi Strickler and Arya K Bal. Setae of the first antennae of the copepod cyclops scutifer (sars): their structure and importance.Proceedings of the National Academy of Sciences, 70(9):2656– 2659, 1973

  42. [42]

    Rudi Strickler and G´ abor Bal´ azsi

    J. Rudi Strickler and G´ abor Bal´ azsi. Planktonic copepods reacting selectively to hydrodynamic disturbances.Phil. Trans. R. Soc., 362, 2007

  43. [43]

    Takagi and D.K

    D. Takagi and D.K. Hartline. Directional hydrodynamic sensing by free-swimming organisms. Bull. Math. Biol., 80:215–227, 2018

  44. [44]

    Takagi and J

    D. Takagi and J. R. Strickler. Active hydrodynamic imaging of a rigid spherical particle.Nature Search, 2020

  45. [45]

    Going with the flow: hydrodynamic cues trigger directed escapes from a stalking preda- tor.Journal of the Royal Society Interface, 16(151):20180776, 2019

    Lillian J Tuttle, H Eve Robinson, Daisuke Takagi, J Rudi Strickler, Petra H Lenz, and Daniel K Hartline. Going with the flow: hydrodynamic cues trigger directed escapes from a stalking preda- tor.Journal of the Royal Society Interface, 16(151):20180776, 2019

  46. [46]

    Olfactory search with finite-state controllers.Proceedings of the National Academy of Sciences, 120(34):e2304230120, 2023

    Kyrell Vann B Verano, Emanuele Panizon, and Antonio Celani. Olfactory search with finite-state controllers.Proceedings of the National Academy of Sciences, 120(34):e2304230120, 2023

  47. [47]

    Organism life cycles, predation, and the structure of marine pelagic ecosystems.Marine Ecology Progress Series, 130:277–293, 1996

    Peter G Verity and Victor Smetacek. Organism life cycles, predation, and the structure of marine pelagic ecosystems.Marine Ecology Progress Series, 130:277–293, 1996

  48. [48]

    Visser.Small, wet & rational, individual based zooplankton ecology

    A. Visser.Small, wet & rational, individual based zooplankton ecology. DTU Denmark, 2011

  49. [49]

    Hydromechanical signals in the plankton.Marine Ecology Progress Series, 222:1–24, 2001

    Andr´ e W Visser. Hydromechanical signals in the plankton.Marine Ecology Progress Series, 222:1–24, 2001

  50. [50]

    Copepod escape behavior in non-turbulent and tur- bulent hydrodynamic regimes.Marine Ecology Progress Series, 334:193–198, 2007

    Rebecca J Waggett and Edward J Buskey. Copepod escape behavior in non-turbulent and tur- bulent hydrodynamic regimes.Marine Ecology Progress Series, 334:193–198, 2007

  51. [51]

    Origins of eukaryotic excitability.Phil

    Kirsty Y Wan and G´ asp´ ar J´ ekely. Origins of eukaryotic excitability.Phil. Trans. R. Soc. B, 376:20190758, 2021

  52. [52]

    Mechanoreceptors in calanoid copepods: designed for high sensi- tivity.Arthropod Structure & Development, 29(4):275–288, 2000

    TM Weatherby and PH Lenz. Mechanoreceptors in calanoid copepods: designed for high sensi- tivity.Arthropod Structure & Development, 29(4):275–288, 2000

  53. [53]

    Copepods response to Burgers vortex: deconstructing interactions of copepods with turbulence.Integrative and comparative biology, 55(4):706–718, 2015

    D R Webster, D L Young, and J Yen. Copepods response to Burgers vortex: deconstructing interactions of copepods with turbulence.Integrative and comparative biology, 55(4):706–718, 2015. 14

  54. [54]

    J. Yen, P. H. Lenz, D. V. Gassie, and D. K. Hartline. Mechanoreception in marine copepods: electrophysiological studies on the first antennae.J. Plankton Res., 14(495-512):1103–1115, 1992

  55. [55]

    Sensory-motor systems of copepods involved in their escape from suction feeding.Integrative and comparative biology, 55(1):121–133, 2015

    Jeannette Yen, David W Murphy, Lin Fan, and Donald R Webster. Sensory-motor systems of copepods involved in their escape from suction feeding.Integrative and comparative biology, 55(1):121–133, 2015

  56. [56]

    ˆtrotates along the limit cycle

    Jeannette Yen, Marc J Weissburg, and Michael H Doall. The fluid physics of signal perception by mate-tracking copepods.Philosophical Transactions of the Royal Society of London B: Biological Sciences, 353(1369):787–804, 1998. 15 Supporting Information 1 Triangulation Algorithm Here, we provide a detailed derivation of the triangulation algorithm used to c...