Abstract
13
Many animals navigate their world largely by seeing and feeling it. To disentangle these visual 14
and mechanosensory contributions, we developed a virtual reality assay targeting the 15
optomotor response in adult wild-type zebrafish swimming against flow. By projecting dynamic 16
visual patterns onto the walls of a variable-speed flow tank, we decoupled wide-field optic flow 17
from hydrodynamic velocity. We then tested fish responses to abrupt visual perturbations 18
while they held station in the unsteady wake behind a bluff body. These perturbations reliably 19
elicited compensatory optomotor responses, with fish aligning to the direction of the moving 20
stimulus. Notably, this behavior was absent in uniform flows, suggesting that fish prioritize 21
visual input when predictive lateral line signaling is compromised. We propose that this 22
sensory shift serves to optimize swimming energetics in turbulent wakes. Extending this 23
framework, we further show that zebrafish swimming against flow, whether alone or in groups, 24
exhibit heightened escape responses to looming visual stimuli. Together, our findings reveal 25
that fish sensory strategies are not fixed but dynamically tuned to hydrodynamic context: 26
favoring visual cues in turbulent environments and lateral line input in uniform flows. 27
28
Graphical Abstract 29
30
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Introduction
31
Sensory cues from different modalities often arrive simultaneously or overlap in sequence, 32
providing animals with a rich and redundant source of information to navigate novel and 33
complex environments. A growing acknowledgment of the integration and conflict dynamics of 34
multiple sensory modalities (vision is coupled with olfaction, air flow, vestibular, etc.) has led 35
to new insights in interpreting and understanding behavioral responses at the organismal 36
level. 37
Animals moving through water experience vastly different challenges from terrestrial animals. 38
In particular, the higher density and viscosity of water, the forces currents can create, and the 39
relative lack of light characterize aquatic and marine habitats where vertebrate life originated. 40
For over 400 million years, fishes have evolved to integrate mechanosensory and visual 41
information to shape their behavior and ecology. The lateral line and visual system, detecting 42
water flow and light, play a critical role in this integration, enabling fish to navigate and 43
respond to their environment. The lateral line is an ancient mechanosensory system that 44
predates the evolution of visual systems in vertebrates, and detects predators, prey, 45
conspecifics and water currents. Specifically, genes associated with mechanosensation 46
appear earlier in evolution than those related to visual processing (Šestak et al., 2013). This 47
suggests that sensing water flow and pressure was a foundational capability for early aquatic 48
vertebrates. However, despite the growing interest in understanding how multiple sensory 49
systems orchestrate behavior (Dallmann et al., 2023; Sharma & Sponberg, 2023), our 50
understanding of mechanosensation and vision in aquatic animals remains static and poorly 51
understood. 52
In contrast to the highly stochastic nature of ambient turbulent flows, which, when interacting 53
with environmental structures (rocks, vegetation, other animals), produce vortices of widely 54
varying spatial and temporal scales, the boundary layer flow over a swimming fish's skin (and 55
thus lateral line system) is relatively predictable and repeatable (Gray, 1968). When flow 56
interacts with a simple geometric shape like a cylinder, a vortex street can be generated. Fish 57
can recapture the energy of these vortices to hold station in flow (e.g. maintain position 58
relative to the Earth frame of reference). Fish holding station behind a cylinder show 59
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drastically reduced oxygen demands, saving up to half the cost of swimming compared to 60
when swimming in laminar flow (Taguchi & Liao, 2011). Due to the turbulent regime in a 61
vortex street, flow unpredictability causes destabilizing movements in these surfing fish (Liao 62
et al., 2003b; Tritico & Cotel, 2010). Consistent with this, fish with an ablated lateral line avoid 63
turbulence vortex streets and prefer to station holding in areas of smoother flow, suggesting a 64
reliance on detecting flows to maintain position while station holding (Liao, 2006). Turbulence 65
may limit the capabilities of the lateral line to signal normal swimming movements, where 66
muscle commands align with sensory expectations. Predictable flow across the body is critical 67
for the lateral line to generate an image of efficient swimming, enabling a proprioceptive 68
function (Skandalis et al., 2021). 69
How does the hydrodynamic environment influence the reliance on visual information for 70
station holding in adult zebrafish? We hypothesize that fish swimming in turbulence shift their 71
sensory reliance from the lateral line towards vision. Here, we develop a novel virtual reality 72
assay in a flow tank that decouples visual and hydrodynamic sensory inputs for freely 73
swimming fishes. We use this approach to investigate the interplay between vision and the 74
lateral line during optomotor and loom behaviors across laminar and turbulent flow conditions. 75
We address previously inaccessible questions on the effect of wide-field visual on fish 76
swimming and escape behaviors in flow. By decoupling and placing into conflict visual and 77
hydrodynamic stimuli, our approach allows investigation into multi-agent and multisensory 78
integration of fish behavior. 79
80
Materials and methods
81
Animals 82
We used adult (>60 dpf) WT zebrafish, Danio rerio (body-length, mean± SE = 38.6 ± 0.7 mm, 83
n=20 fish) raised in the UC Santa Barbara zebrafish facility and transferred to the 84
experimental room >2 weeks prior to experiments. There, fish were maintained in two 10 L 85
freshwater tanks maintained at 23 ± 0.5 °C) with a commercial aquarium heater (Eheim Co.), 86
kept on a 12:12 light:dark cycle and fed commercial pellets ad libitum daily. Prior to the start 87
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of an experimental trial, an individual fish was introduced into the flow tank and left for 10 88
minutes to acclimatize at a current velocity of 10 cm s-1 (e.g. ~2.5 body-lengths s -1). We found 89
this flow velocity would elicit the most reliable station holding response. All experimental trials 90
were conducted in the afternoon (12:00-17:00 PST) in a room enclosed by blackout curtains. 91
After data were collected from swimming trials, fish were euthanized with an over-dose of MS-92
222. 93
Experimental Setup 94
Flow tank: All experiments were conducted using a custom-built 5 L recirculating flow tank 95
with a working section of 22 x 7 x 7 cm (length x width x depth). Water flow was generated by 96
a variable speed AC-DC series motor (Dayton model 2MO37A, 115v 1.5 Amp, Lake Forest 97
Illinois USA) driving a propeller that circulated water through 2 sets of honeycomb collimators 98
(1/8" aperture diameter) to generate uniform flow. Flow velocity was set at 10cm/s and verified 99
by tracking suspended plastic particles within the working section of the flow tank. The cross-100
sectional area of the fish was less than 5% of the cross-sectional area of the flow tank, 101
minimizing any solid blocking effects (Bell & Terhune, 1970). Water was filtered, aerated, and 102
maintained at room temperature of 22.1 °C (SE=0.1°C) throughout the experiment. (See 103
Figure-1A) 104
Visual Projection: We used a system of mirrors (See Figure-1B) to project visual stimuli on 105
customized rear-projection screens mounted to the flow tank walls. For wide-field grating 106
patterns on the sidewalls, we varied orientation and motion (vertical gratings moving 107
downstream/upstream; horizontal gratings moving up/down) and set the optic-flow speed as 108
ca. 10 cm s-1 (spatial frequency=1.8 cm cycle-1, temporal frequency as 5.5 cycle s-1) to match 109
hydrodynamic flow velocity. We recorded these moving projection patterns using a high-110
speed camera at 1000 frames s-1 to verify optic flow rates. For visual looming stimulus, we 111
used an exponentially expanding (doubling-time: diameter=50ms, area=25ms) dark-circle with 112
a bright background presented on the top-wall. Fish were acclimatized for 5 minutes before 113
each trial with either horizontal or vertical gratings on sidewalls in case of station-holding, or 114
plain white background on the top-wall in case of escape trials. For each fish trial, the 115
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treatments order was randomized to evoke a reflexive response and avoid contribution due to 116
learning and memory. 117
Filming and Digitization: A monochromatic Chronos 1.4-HD high-speed video camera (1024 118
x 1024, 1000 frames/s, Burnaby BC Canada) was aimed at a front-surface mirror angled at 119
45° and placed directly below the working section to film the swimming kinematics and 120
position of zebrafish (Figure-1B). An LED panel with white lights and overlayed diffuser was 121
used to optimize the image contrast of the fish. In loom experiments, this panel was replaced 122
with a projection screen for the top-projected loom stimulus with against a uniform 123
Background
illumination. We used a semi-supervised machine-learning based tool, 124
DeepLabCut (Mathis et al., 2018), that allowed us to reliably track 4 points on fish (head-tip, 125
tail-tip, right- and left-pectoral fin base). To create a training-set, we manually labelled these 4 126
points in a total of 800 frames, randomly picked from 40 videos, and trained a neural network 127
model for ~1 million iterations to minimize the tracking error. We subsequently used this 128
model to track points on more than 400,000 frames from 80 video recordings. Tracked videos 129
using DeepLabCut were visually verified and approved before further analysis (Mathis et al., 130
2018). 131
Experimental Design and Data Analysis 132
We studied the effects of hydrodynamic and visual conditions on freely swimming adult 133
zebrafish using two widely studied behaviors, Station-holding and Escape behavior. Below 134
are the experiment specific details for each behavior. 135
(i) Station-Holding Behavior: 136
Water-flow conditions – Steady / Unsteady: Many fish routinely swim against water current to 137
navigate, a behavior known as rheotaxis. These fish may experience Steady (laminar) or 138
Unsteady (turbulent) water-flow. However, station holding fish would naturally experience 139
unsteady water-flow as they swim behind rocks or bluff bodies to get help from eddies and 140
conserve energy. We studied sensory prioritization in the position-maintaining fish in a flow 141
tank and challenged them with steady and unsteady water-flow conditions. Steady flow 142
conditions were generated by a custom 3D printed honeycomb flow-straightener. D-section 143
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cylinders (0.5-1 cm diameter) were added in an upstream location in the working section to 144
create a distinct flow refuge to generate suitable unsteady flow (Liao et al 2003b). 145
Linear perturbations – Optical-Pull / Push: We first tested the role of wide field visual 146
perturbation on a station holding adult fish. As the fish is swimming against water-flow, we 147
externally provided wide-field optic-flow by suddenly moving the surroundings in (i.e., 148
vertically oriented visual gratings) forward (upstream) or backwards (downstream) directions. 149
The fish typically experience optic-flow either during self-movements or when external factors 150
(such as water-flow) move them. Since our treatments induced the optic-flow analogous to 151
fish moved by external factors, we call them ‘optical-push’ and ‘optical-pull’, based on the 152
direction of optic-flow generated. ‘Optical-push’ is the treatment of moving visual surroundings 153
from back to front of the fish, mimicking the optic-flow direction if fish are pushed backwards 154
externally (e.g., sudden increase of water-flow speeds). Similarly, optical-pull treatment will 155
suddenly move wide-field visual patterns from front to back (i.e., in a downstream direction) 156
mimicking a scenario when a station holding fish is pulled forward due to external factors 157
(e.g., sudden decrease of water-flow speeds). The prefix “optical” here refers to the fact that 158
it’s a purely visual perturbations, rather than changing waterflow speed to move the fish. 159
Rotational perturbations – Optical-Roll: We further checked the effects of a conflicting optic-160
flow on station holding fish, where the optic-flow presented along rotational axis whereas the 161
water-flow remained linear (along the body-axis). We moved visual surroundings (i.e., 162
horizontally oriented visual gratings) in opposite directions on each side wall at the same 163
spatial and temporal rates as the ‘Optical-Push / Pull’ treatments (see Methods: Visual 164
Projections). We call them ‘optical roll’ treatments that would mimic optic-flow generated to 165
the fish if it is externally rotated in Roll-direction (around the longitudinal-axis). The rotational 166
optic-flow is either in clockwise (CW: right-side moving down, left moving up) or 167
counterclockwise (CCW: right-side moving up, left moving down) directions from the fish’s 168
perspective. 169
Data Analysis: To examine the effect on station holding behavior, we compared 1 second of 170
fish trajectory data before and after the stimulus and quantified changes in body position, 171
swimming velocity, and tail beat. We excluded the first 500ms of data after the stimulus onset 172
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from this analysis. Swimming velocity was divided into longitudinal (along the direction of flow) 173
and lateral (side-ways) directional components to better explain the behaviors observations. 174
Changes in trajectory pattern were quantified using Spearman’s rank correlation (rho), which 175
measures monotonic changes in the position (where a constant upstream movement = 1, and 176
downstream = -1). We also tracked the distal end of tail and quantified its average cyclic 177
movement amplitude and frequency over a given duration for each trial. 178
(ii) Escape Behavior: 179
Experimental Treatments: We studied another naturalistic behavior that is known to involve 180
vision, an escape behavior, to further compare how fish use vision in different hydrodynamic 181
conditions. We presented an exponentially expanding (looming) stimuli (see Methods: Visual 182
Projections) at the top wall of swimming chamber while fish were challenged to swim against 183
water-flow (Flow) and when at rest (No-Flow). We studied fish’s response when alone in the 184
chamber (Single) or when in a group of five individuals (Group). The looming stimulus 185
generally originated towards the upstream side of the chamber, giving better visibility to the 186
fish swimming against the flow. However, we also carried out a treatment where the position 187
is shifted towards the downstream side of the chamber (Downstream Loom), to study any 188
possible effects arising due to the stimulus position. 189
Data Analysis: We studied fish’s reflexive escape responses involving sudden bending of the 190
body, known as C-Start, upon presenting the looming stimulus. From the video recordings, we 191
find fish’s instantaneous position w.r.t. the stimulus origin in horizontal plane ([px,py] cm) and 192
the instantaneous stimulus radius (R cm) at the time of an escape response (i.e., onset of C-193
start reflex). Vertical position of the fish (pz cm) is considered as the flow-tank height, as the 194
fish were found swimming at the bottom of the tank. From the escaping fish’s three 195
dimensional position (P=[px,py,pz] cm) and stimulus radius (R), we can then calculate the 196
threshold stimulus angle (theta) from the fish’s perspective that elicited the escape response 197
(using the formula: theta = 2*arctan( R / Norm(P) ). We call this angle (theta) the Perceived 198
Loom Angle. We also measured the escape response delay as the time difference between 199
beginning of the looming stimulus and the C-start. 200
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Results
201
Prioritizing vision depends on hydrodynamic environment 202
We quantified fish swimming performance and their responses to wide-field visual 203
perturbation (Optical-Pull and -Push treatments, see methods: Exp. Design) while swimming 204
against steady and unsteady water currents in the flow-tank. For each treatment, we observed 205
responses from 4 adult zebrafish and repeated 4 trials for everyone, making a total 16 unique 206
trials per treatment. We used Wilcoxon signed-rank test to compare behavior responses 207
between the pre-stimulus and post-stimulus values. 208
Fish do not rely on optic-flow to maintain swimming position in steady flows 209
During trials with steady (laminar) flow, fish’s swimming velocities in the streamwise direction 210
remain unchanged after the stimulus onset when compared to the pre-stimulus adaptation 211
period for Optical-Pull (velocities mean ± s.e.m.: pre-stim = -0.2 ± 1.2 cm/s, post-stim = 0.2 ± 212
1.2 cm/s; p = 0.90, n.s.) and, also for Optical-Push treatments (velocities mean ± s.e.m. : pre-213
stim = -0.1 ± 1.0 cm/s, post-stim = -0.9 ± 1.1 cm/s; p = 0.74, n.s.). Conversely, presenting 214
exactly the same visual stimulus but now with unsteady (turbulent) currents elicited 215
stereotypical compensatory optomotor response (Figure-2 C,D). In unsteady flow, swimming 216
velocities in streamwise-directions reduces for Optical-Pull (velocities mean ± s.e.m.: pre-stim 217
= -0.2 ± 0.4 cm/s, post-stim = -4.2 ± 0.6 cm/s; p = 0.0004), whereas it increases for Optical-218
Push treatment (velocities mean ± s.e.m.: pre-stim = -0.3 ± 0.6 cm/s, post-stim = 2.3 ± 0.6 219
cm/s; p = 0.009). This behavior can be explained as positive optomotor response (OMR), 220
since the fish’s post-stimulus displacement is in the same direction as the visual projections 221
on sidewalls, for both Optical-Pull and Push perturbations in unsteady water currents. A 222
compensatory positive OMR may help station-holding fish to maintain its position using visual 223
feedback. Such OMR is missing for both the treatments in steady currents, suggesting a 224
prominently non-visual sensory mechanism to maintain position. 225
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Fish move monotonously with wide-field optic flow in unsteady flows 226
We compared fish’s trajectories with a purely linear model trajectory (with a slope=1) and 227
quantified Spearman’s correlation coefficient (rho) to study the monotonicity of their 228
responses for each treatment. Rho values of 1 and -1 represent a perfectly monotonous 229
change of position in the forward and in backwards direction, respectively. We found that fish 230
swimming in unsteady flows showed a higher monotonous change in their body position post-231
stimulus onset. Rho value for Optical-Pull (rho ± s.e.m : pre-stim = -0.2±0.2, post-stim = -232
0.8±0.1, p=0.009) representing a monotonous downstream drift, and for Optical-Push (rho ± 233
s.e.m : pre-stim = -0.2±0.2, post-stim = 0.6±0.1, p=0.04) representing largely monotonous 234
upstream surge, post stimulus onset in unsteady flows. However, when in steady flows, the 235
rho values are spread across the spectrum with averages close to zero representing a lack of 236
overall monotonous movements (Optical-Pull: pre-stim = 0.0±0.2, post-stim = 0.0±0.2, p=0.99, 237
n.s.; Optical-Push: pre-stim = 0.1±0.2, post-stim = -0.1±0.2, p=0.74) (Figure-2). 238
Compensatory OMR only present for streamwise (longitudinal) direction 239
For both steady and unsteady hydrodynamic conditions, the post-stimulus change in position 240
happened in the streamwise direction (Figure-2, longitudinal), in the same direction as the 241
visual stimulus. Cross stream (e.g. lateral) position, velocity, and Spearman rho values remain 242
unchanged post-stimulus (Figure-S1, all p>0.4, n.s.). We further found that when presenting 243
optical-roll perturbations (i.e., clockwise and counter-clockwise), fish did not display an OMR 244
either in longitudinal or lateral directions (Figure-S2, all p>0.4, n.s.). We also note that fish did 245
not turn, change its swimming direction or show an escape response (e.g., C-start) to any of 246
our wide-field visual stimuli. Raw trajectories and summary statistics values of the means, 247
s.e.m and p-values are included in supplemental material (Supp. Figure-1,2, Supp.Table-S1). 248
Thus, our results of visual perturbation experiments during station holding suggest that adult 249
zebrafish use optic-flow to maintain position while swimming against unsteady water streams, 250
and the compensatory optomotor response to optic-flow depends on the direction of optic-flow 251
and hydrodynamic conditions. 252
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Fish sensitivity to visual threats alters with hydrodynamic conditions 253
As our previous experiment showed that fish swimming against water currents did not trigger 254
escape responses (e.g. C-start) to wide-field visual perturbations, next we presented an 255
exponentially expanding, purely visual looming stimulus on the dorsal wall of the flow tank and 256
studied their behavioral responses. We quantified fish’s escape attempts responses (C-start) 257
due to looming stimulus presented during swimming against water current (Flow) and no 258
currents (No-Flow), both for the individual trails (Single) or when schooling (Group) (Figure-3). 259
We used Wilcoxon rank-sum test to compare quantities between Flow and No-Flow 260
treatments. 261
Escape Distance-Delay relationship depends on hydrodynamic conditions 262
Adult zebrafish escape responses for both Single and Group trials showed that the escaping 263
fish were positioned closer to the stimulus origin as compared to the non-escaping fish. This 264
relationship between the escape response presence and the distance from stimulus are 265
consistent across hydrodynamic conditions, Flow (distance mean ± s.e.m.: Escape = 48.5±6.3 266
mm, n=36; No-Escape = 93.7±7.2 mm, n=53; p=9.1e-6) and No-Flow (Escape = 41.8±4.2 267
mm, n=41; No-Escape = 60.3±6.4 mm, n=48; p=0.002) (Figure-3A). Thus, we considered 268
fish’s position when triggering a C-start response in our subsequent analysis of the behavior. 269
We also quantified the escape response delay since the start of looming stimulus expansion 270
for each of the escaping fish in all trials and studied its relationship with fish’s distance from 271
stimulus to find whether closely positioned fish escaped faster. Flow trials show a stronger 272
positive relationship (slope m = 0.20 for Single, m = 0.24 for Group) when fishing swimming 273
against current than in No-Flow trials (slope m = 0.05 in Single, m = 0.04 in Group) (Figure-3 274
B). We then performed linear regression analysis because raw slope values are susceptible to 275
any mismatch in axis ranges for distance and delay. Combining escape events from Single 276
and Group trials, we found a stronger escape distance-delay correlation for the Flow 277
treatment (Pearson coefficient = 0.67, n=36, p<0.001) than in No-Flow conditions (Pearson 278
coefficient = 0.21, n=41, n.s.). This analysis shows that the fish that were swimming against 279
flow triggered C-start sooner when located closer and later when further away from the 280
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stimulus. Whereas the non-swimming fish in general did not show such response, suggesting 281
they just responded to the presence of the threatening stimulus. 282
Station holding fish show a lower threshold-angle to looming stimulus 283
The escape behavior may be better studied by quantifying the threshold stimulus angle for 284
each escaping individual because it would account for both the response delay and fish’s 285
distance from the stimulus. We calculated the threshold stimulus angle of the looming 286
stimulus from the perspective of the fish in three-dimensional space at the time of escape to 287
test whether station holding fish (Flow trials) responded to the angular expansion faster than 288
in No-Flow trials, as it would be predicted by their slope-values (Figure-3B). To maintain 289
consistency across each responses, we considered all trials for which the looming stimulus 290
was originating within the lateral-visual field (153° field on right and left side each; n=50 fish) 291
for the given fish positions, and excluded data with the stimuli in their blind-spot (21° field on 292
rear side; n=5 trials) and binocular (33° field on front; n=22 trials) (Pita et al., 2015). This 293
allowed us to better compare our data across Flow and No-Flow trials because fish’s body 294
orientations are not always facing upstream when not swimming, as they would while 295
swimming against water currents (No-Flow trials). 296
We found that station holding fish triggered an escape at a lower stimulus angle in Flow as 297
compared to stationary fish in No-Flow (Figure-3C). These angles are plotted on a model 298
looming stimulus to visualize their median threshold angles on the expanding visual stimulus 299
in temporal axis. Finally, combining the threshold stimulus angles from each escaping fish 300
across all the Single and Group trials, we found a lower threshold for fish swimming against 301
water current (Flow: 15.9°±3.9° deg, n=21) than fish in stationary water (No-Flow: 32.6°±6.8° 302
deg, n=29) (Figure-3D). A lower threshold angle (p=0.017) to trigger a C-start reflex suggest 303
increased sensitivity to the visual threat stimuli. 304
Together, our results highlight the relationship between the optic-flow and hydrodynamic flow, 305
where fish swimming in complex water currents elevate their response to optic-flow 306
perturbations. 307
308
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13
Discussion
309
The OMR is crucial for an animal's ability to maintain its position, and is particularly vital for 310
fish navigating dynamic aquatic habitats. Our research offers new insights into the adaptive 311
strategies of sensory modalities in fishes, revealing how they prioritize visual and 312
mechanosensory cues based on the predictability of their hydrodynamic environment, and 313
how these strategies influence other crucial behaviors like escape responses. 314
Developmental and Hydrodynamic Influences on OMR 315
Our study of adult zebrafish reveals a distinct OMR compared to that observed in larvae. 316
While larval zebrafish typically exhibit a positive OMR, swimming with moving bars to reduce 317
optic flow (Olive et al., 2016), adults demonstrate a negative OMR, swimming against the 318
visual motion (Bak-Coleman et al., 2015). This developmental shift likely reflects the 319
maturation and calibration of sensory and motor systems (Kohashi et al., 2012). Larvae, with 320
less developed sensory systems and limited proprioception, may primarily rely on visual cues 321
for body displacement. In contrast, fully integrated adult systems allow for the development of 322
robust expectations of flow and the accumulation of error-driven motor learning experiences 323
(Montgomery et al., 2002; Skandalis et al., 2021). This calibration enables adults to form 324
precise expectations of how lateral line (and likely vestibular) inputs correspond with visual 325
inputs in predictable hydrodynamic environments like still water or steady flow. 326
However, this calibrated expectation for sensory information, typically associated with 327
steady swimming kinematics, is violated in turbulent flows. We suggest that the positive OMR 328
observed in larvae arises because they initially rely heavily on visual inputs as they gain the 329
experience necessary to fully calibrate their mechanosensory and visual systems. A 330
compelling avenue for future investigation would be to precisely determine the developmental 331
stage at which this OMR switch occurs, and whether this transition can be accelerated or 332
delayed by specific environmental conditions like light levels or turbulence. 333
Beyond neural development, the hydrodynamic regime itself imposes distinct 334
challenges and opportunities for sensory processing. Our findings indicate that fish 335
dynamically adjust their reliance on mechanosensation versus vision in a context-dependent 336
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manner, revealing a previously unrecognized prioritization strategy driven by hydrodynamic 337
predictability, which correlates with Reynolds number (Re). Larval fish operate at low 338
Reynolds numbers (Re < 100), where viscous forces dominate and flow patterns are highly 339
predictable. In this regime, consistent lateral line reafference from self-motion likely allows 340
larvae to prioritize visual inputs for OMR, as mechanosensory input provides a stable internal 341
reference. Conversely, adult zebrafish operate at high Reynolds numbers (Re > 1000), 342
routinely encountering turbulent flows characterized by complex, unpredictable vortices in 343
natural aquatic environments. When uniform flow interacts with bluff bodies, the resulting 344
vortices can significantly alter swimming kinematics (Liao et al., 2003a; Sutterlin & Waddy, 345
1975). Consequently, the lateral line system receives less predictable input than during self-346
generated swimming in uniform flow (Crapse & Sommer, 2008). While vortices can be 347
detected (Chagnaud et al., 2007), their presence likely diminishes the lateral line's capacity to 348
provide a consistent signal for self-motion or external flow, substantially reducing its reliability 349
as an accurate indicator of effective swimming in turbulence (Skandalis et al., 2021). 350
Similar principles of context-dependent sensory reweighting have been observed in 351
terrestrial systems. For example, hawkmoths tracking moving flowers modulate their reliance 352
on vision and mechanosensation depending on ambient luminance (Sharma & Sponberg, 353
2023). In bright light, visual gain increases while mechanosensory gain decreases; in dim 354
light, the reverse occurs. This mirrors our findings in zebrafish, where lateral line input 355
becomes less reliable in turbulent flow, prompting a shift toward visual cues. In both cases, 356
animals preserve behavioral performance—flower tracking in moths, station-holding and 357
escape in fish—by flexibly reconfiguring sensory strategies. These parallels suggest that 358
adaptive sensory prioritization, rather than fixed integration, may be a widespread solution to 359
environmental uncertainty. 360
Energetic Imperatives and Adaptive Sensory Prioritization 361
The diminished reliability of lateral line input in turbulent flows, coupled with the energetic 362
imperative of station-holding, profoundly influences how fish perceive and react to their 363
environment. The drive to conserve energy strongly shapes fish behavioral choices, 364
particularly in complex flow fields, and consequently their reliance on specific sensory cues. 365
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Fish exploit the energetic benefits of station-holding within vortical wakes generated 366
behind bluff bodies (Liao, 2004; Stewart et al., 2016; Taguchi & Liao, 2011). This strategy, 367
termed Karman Gaiting, involves precise positioning to reduce the energetic demands of 368
swimming (Liao et al., 2003a, 2003b). Fish actively return to these energetically favorable 369
regions after displacement, demonstrating a strong motivation to maintain such positions. 370
Optimal station-holding often occurs at a specific saddle point downstream from the obstacle, 371
where flow conditions minimize energy expenditure (Taguchi & Liao, 2011; Zdravkovich, 372
1997). Even a small displacement can lead to ejection into the higher-cost freestream, with 373
oxygen consumption twice as high (Taguchi & Liao, 2011). These substantial energetic costs 374
provide a powerful incentive for fish to actively maintain station in a specific region of the 375
wake; a benefit absent in the viscous regime occupied by larval fish. 376
This drive leads to a marked shift in sensory prioritization. In predictable, uniform 377
laminar flows, where lateral line inputs are reliable, OMR is absent or diminished. This 378
suggests lateral line prioritization due to its direct, rapid, and continuous feedback on the body 379
from the water flow that vision alone cannot replicate with equivalent fidelity or speed. 380
However, when station-holding fish encounter the unpredictable, noisy hydrodynamic cues of 381
a turbulent wake, vision rises to a paramount role. This results in the emergence of a positive 382
OMR, where fish swim in the direction of a moving visual stimulus. For a fish maintaining a 383
fixed position in a turbulent flow-field, such a visual strategy is highly adaptive. Ignoring visual 384
cues would result in costly downstream drift, or risk ejection into the high-cost freestream. 385
Interestingly, stationary near-field visual cues (e.g., the cylinder) proved insufficient to 386
maintain station-holding in turbulence, indicating that broad, wide-field visual stimuli are 387
required for this behavior. 388
Role of the Efferent System and Sensory Conflict 389
A switch to visual reliance in turbulent flows suggests an underlying neural mechanism that 390
actively modulates sensory input. We propose that the efferent system of the lateral line plays 391
a critical role in this dynamic reweighting of sensory information. The efferent system cancels 392
out flow information generated by self-movement (e.g., corollary discharge, (Crapse & 393
Sommer, 2008)), allowing zebrafish to prune afferent information correlated with swimming 394
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16
motions and the fluid environment (Skandalis et al., 2021). This comparison of expectation 395
and sensing enables the lateral line to convey external proprioceptive abilities in simple flow 396
environments. 397
Building on this, we hypothesize that the visual system is also calibrated into this 398
proprioceptive architecture. Sensing the predictable flow across the body during anticipated 399
undulations suppresses behavioral responses stemming from wide-field visual inputs; hence, 400
fish in steady flows do not react to optical perturbations. When holding station in turbulent 401
flow, the hydrodynamic cues necessary for body positioning during swimming diminish, 402
prompting fish to switch to visual cues to guide their behavior and maintain position. In these 403
conditions, fish in our study show compensatory responses to optical push and pull 404
treatments. 405
Importantly, when station-holding fish follow downstream-drifting bars, they do not turn 406
and swim downstream, nor do they cease swimming and drift passively while still facing 407
upstream. Instead, they maintain an upstream orientation and swim slower, using a reduced 408
tailbeat frequency and amplitude. Active swimming is necessary to activate an efferent motor 409
copy, which also improves control. Swimming, through corollary discharge, could calibrate 410
flow expectations along the body, allowing fish to recognize less turbulent (e.g., more 411
predictable) flows. Such an awareness is harder to execute when swimming downstream, 412
given the anterio-posterior sensitivity bias of neuromasts (Munz, 1985). Through the lateral 413
line efferent/afferent system, fish are continuously in touch with their environment. Undulating 414
the body allows fish to detect changes in turbulence, as exemplified when fish, visually 415
prompted to leave their station-holding region, eventually encounter freestream flow outside 416
the wake. This would be impossible if fish drifted downstream straight-bodied, without the 417
efferent activity to gauge body awareness. 418
Our hypothesis that the efferent system gates visual input is further supported by our 419
sensory-conflict experiments. Our optical-roll experiments reveal that visual input becomes 420
less influential when lateral line input aligns with an expected environmental model. This 421
suggests that continuous hydrodynamic input to the lateral line system overrides sudden 422
visual inputs, causing fish to disregard cross-stream moving bars when flow is moving 423
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17
downstream (this study, (Bak-Coleman et al., 2015)). In virtual rolling scenarios, the absence 424
of dorsoventral flows typically detected by the lateral line, coupled with semicircular canal 425
inputs that do not align with the rolling movements conveyed by the visual world, further 426
highlights this sensory prioritization. This raises a crucial question: if the prioritization of the 427
lateral line over the visual system is a fundamental strategy for navigating predictable 428
environments, do these principles of context-dependent sensory weighting extend to other 429
fundamental, survival-critical behaviors? To answer this, we next investigated if this sensory 430
flexibility also applies to rapid, ecologically vital behaviors like the escape response, a well-431
characterized behavior fish use to flee predators based on auditory, visual, or lateral line 432
stimuli (Mirjany et al., 2011). 433
Vision-Dependent Escape Responses in Flow and Group Dynamics 434
For over a century, the escape response has been a focal point of research, primarily in 435
individual fish within simplified hydrodynamic environments. While most studies have been 436
conducted in still water, fish in nature often form groups as an anti-predator response (Nadler 437
et al., 2021; Krause & Ruxton, 2002; Magurran, 1990) and frequently inhabit current-swept 438
environments. Less understood, however, is the effect of group dynamics on escape 439
behavior, where individuals must process not only visual threats but also information from 440
moving group members. 441
We observed that fish initiated escape responses more frequently when in closer 442
proximity to a loom stimulus, regardless of whether they were individuals or in a group, and 443
whether they were swimming in flow or still water (Figure-3 A, B). However, the delay in 444
response showed a stronger correlation with stimulus distance when fish were swimming in 445
flow compared to still water (Figure-3 C, D). This positive correlation between distance and 446
response delay suggests that fish are reacting to the angular expansion of the stimulus rather 447
than merely its presence. When accounting for both stimulus distance and response delay, 448
fish in flow exhibited a lower angular threshold for triggering an escape response. This finding 449
aligns with the hypothesis that fish are more sensitive to visual threats while swimming in flow 450
than in still water. 451
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18
Our results suggest that the lateral line may be sensitized to compensate for potential 452
constraints in escape trajectories within flowing water. Unlike in still water, where escape 453
speeds and energetic costs are relatively equal in all directions, upstream escape paths in 454
flow likely result in slower bursts and higher energetic costs compared to downstream or 455
cross-stream paths (Domenici & Hale, 2019; Kohashi et al., 2012). This implies that faster 456
responses in flow are a prominent component of station-holding behavior. Indeed, faster flows 457
have been shown to elicit faster performance phenotypes in other fish species in the wild 458
(Nadler et al., 2018). 459
The heightened visual sensitivity of zebrafish in challenging hydrodynamic 460
environments demonstrates their adaptive flexibility in sensory processing. However, this 461
behavioral adaptation frequently occurs within a social context, as zebrafish intrinsically 462
associated in groups. This raises further questions about how collective dynamics influence 463
threat perception and response. We found that individuals within a group exhibited a higher 464
angular threshold for escape compared to solitary individuals. This suggests that schooling 465
favors robustness to a stimulus rather than increased sensitivity, a phenomenon also 466
documented in wild fish (Fahimipour et al., 2023). Interestingly, while schooling exposes 467
individuals to unpredictable hydrodynamic stimuli generated by conspecifics, this appears to 468
have a desensitizing effect on vision, a stark contrast to the OMR where individuals become 469
more sensitive to visual threats. 470
Rethinking the Lateral Line: Beyond Simple Flow Sensing 471
To more precisely dissect the independent contributions of the lateral line and vestibular 472
systems to sensing turbulent flow, future experiments should aim to create hydrodynamic 473
conditions that generate unpredictable flow across the body while ensuring that vortex 474
strength and size do not displace the body. This approach would allow for the investigation of 475
unreliable lateral line information concurrent with predictable vestibular input, a distinction not 476
achievable in the present study due to the absence of lateral line ablation experiments. 477
Traditional antibiotic or genetic ablations of the lateral line, by primarily targeting hair 478
cells, selectively remove afferent (incoming) flow information while leaving the efferent system 479
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19
intact. This suggests that such ablations do not isolate the study of flow sensing alone but 480
instead introduce a more complex scenario that likely involves the unmasking of other 481
sensory modalities, such as body sensing, which complicate behavioral interpretations. 482
Building on this, we predict that fish with a non-functional lateral line, when exposed to 483
uniform flows, will exhibit behaviors analogous to those observed in turbulent flow conditions. 484
In these situations, alterations in the visual wide-field may elicit behavioral responses that 485
would typically be disregarded in a uniform flow environment (e.g., antibiotic studies, (Liao, 486
2006)). This intricate interplay among sensory modalities may represent a fundamental 487
behavioral mechanism that prioritizes robust, rapid signals from the lateral line system, and 488
may have been necessary for animals before advanced visual systems were establish 489
(Šestak et al., 2013). 490
Conclusion
491
In summary, we demonstrate that wide-field visual inputs do not alter the behavior of adult 492
zebrafish swimming in uniform flows. We argue that during uniform flow conditions, where 493
hydrodynamic stimuli can be anticipated and compared to an internal model of movement, 494
fish prioritize flow inputs from the lateral line system and/or the vestibular system over wide-495
field visual stimuli. In contrast, fish holding station in turbulent flows alter their behavior in 496
response to wide-field visual inputs. We reason that the lateral line can no longer reliably 497
predict flow along the body in unsteady flows as it can during uniform swimming. Because 498
these fish may be less certain of their swimming state based on lateral line 499
mechanoreception, vision emerges to play a larger role in directing behavioral responses. The 500
greater energetic consequence of forfeiting position when station-holding behind a bluff body 501
makes it particularly significant that visual inputs are acted upon once lateral line inputs 502
become less predictable. Furthermore, while schooling, fish experience unpredictable 503
hydrodynamic stimuli created by other individuals, yet they exhibit a decreased sensitivity to 504
looming stimuli. Our work supports the idea that the prioritization of sensory modalities, rather 505
than simple integration, is specific to flow environments. The ability to dynamically prioritize 506
sensory inputs underscores the adaptive capacity of fish in complex and challenging 507
environments. These findings emerge from an approach that embraces more complex and 508
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20
naturalistic experiments, and have important implications for fields ranging from neuroscience, 509
collective behavior, and robotic control. 510
511
512
Contributions 513
Conceptualization: J.C.L., S.D. Methodology: J.C.L., S.D.; Software: S.D. Validation: J.C.L., 514
S.D.; Formal analysis: S.D.; Investigation: J.C.L., S.D.; Resources: J.C.L; Data curation: 515
J.C.L., S.D.; Writing - original draft: J.C.L., S.D.; Writing - review & editing: J.C.L., S.D.; 516
Supervision: J.C.L.; Project administration: J.C.L; Funding acquisition: J.C.L. 517
518
Acknowledgements
519
We would like to thank Matteo Adorisio for help with experiments and preliminary analysis, 520
and Eileen Hamilton for fish care. All protocols were approved by the University of Santa 521
Barbara Institutional Animal Care and Use Committee. This research was supported in part by 522
NSF Grant No. PHY-1748958, NIH Grant No. R25GM067110, Gordon and Betty Moore 523
Foundation Grant No. 2919.01, and the Kavli Foundation. This research was additionally 524
supported by the National Science Foundation Grants IOS 1257150, 2321275, and 1856237; 525
NSF MPS/PHY 2102891 and NSF ENG/CMMI 2345913 to J. Liao, and National Institute on 526
Deafness and Other Communication Disorders Grant R56DC020321 to J. Liao. The authors 527
declare no competing interests. 528
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21
Figures 529
530
Figure 1 – Schematic of experimental setup with the fish swimming flow-tank and visual 531
stimulus projection. (A) A variable-speed flow tank placed on a stand with a filming-mirror 532
placed underneath tilted at 45 angle to film the ventral view of the swimming fish. (B) Cross-533
sectional view of flow tank with two side-mirrors and a top-mirror used for visual stimulus 534
projection, and filming mirror schematic. (C) Schematic of optical stimuli and their motion 535
direction, where the patterns move simultaneously in the direction of sold arrows, and then for 536
a separate treatment, move simultaneously in dashed-arrows directions. Vertical gratings for 537
“optical push/pull” and horizontal gratings for “optical roll” treatments and the expanding loom 538
stimulus on the top wall for escape trials. (D) Perceived threshold stimulus angle (θ) is 539
calculated based on the 3D position of the escaping fish and the instantaneous radius of the 540
loom stimulus. 541
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22
542
543
Figure 2 – Quantifying station-holding fish’ response to wide-field optical perturbations in 544
steady water-flow (A-B) and unsteady flow(C-D). (A,C) “Optical pull” stimulus entails visual 545
patterns suddenly moving downstream at the stimulus-onset (vertical dashed-line). Top-panel: 546
Fish’s longitudinal positions (along the streamwise direction) is plotted against time, where 547
negative position values show downstream drift for “optical pull” (visual patterns moving 548
downstream) and each color represents one individual fish (n=4 fish, 4 trials each); Bottom-549
panel: Comparing the change in fish’s swimming velocity and Spearman’s correlation co-550
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23
efficient (representing degree of monotonous movements) before and after the stimulus 551
onset. (B,D) Same plots as in part-A but for the “optical push” stimulus, where visual patterns 552
move upstream at the onset (n=4 fish, 4 trials each). 553
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554
Figure 3 – Comparison of escape response (C-start) due to a purely visual looming stimulus 555
during “flow” (swimming against water current) and “no-flow” (still water) conditions in 556
individual (“Single”) and school (“Group”) of fish. (A) Presence or absence of escape trigger 557
(C-start) is classified for “flow” (top) and “no-flow” (bottom) conditions, and plotted against 558
fish’s swimming distance from the stimulus center point. (B) Similar to part-A but now 559
projecting the looming stimulus on a different part (i.e., towards the downstream end of the 560
flow-tank). (C-D) For the escaping fish, their swimming distance and response delay are 561
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25
compared between “flow” and “no-flow” conditions. A higher slope indicates stronger 562
correlation between those quantities. (E) Perceived angle of the threshold stimuli (θ), which is 563
found using fish’s 3D position and instantaneous radius of looming stimulus, for all trials are 564
plotted on a representative looming stimulus (Dashed line) that indicates the angular 565
expansion of the looming stimulus over time. (F) The same threshold stimulus angles for all 566
the fish are compared between “flow” and “no-flow” trials. A lower angle represents quicker 567
escape. 568
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Supplementary Materials 569
570
Supp. Figure 1 – Raw trajectory data and velocity data for lateral movements in optical 571
pull/push experiments for steady and unsteady flow (raw data for longitudinal movements, 572
and plot legends are as in Fig-2). 573
574
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27
575
576
Supp. Figure 2 – Raw data for optical roll perturbations (CW & CCW directions) for 577
longitudinal and lateral direction movements. Plot legends are similar to explained in Fig-2 (A-578
B)) 579
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Supp. Figure 3 – Images of the experiment setup. (A) Flow tank, Projection and Recording 580
setup. (B) Example visual stimulus projected on a side-wall of swimming chamber. (C) A 581
section of an image acquired by the camera of a group of fish swimming with an expanding 582
looming stimulus in the background and the first fish (from upstream side) triggering a C-start 583
reflex. 584
(A)
(C) (B)
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29
Table S1 : Statistical summary of lateral-only motion in response to visual perturbation 585
Lateral-Only Side Velocity mean ± s.e.m (cm/s) P-val Side rho mean ± s.e.m P-val
Pre-
Stimulus
Post-
Stimulus
Pre vs
Post
Pre-
Stimulus
Post-
Stimulus
Pre vs
Post
Optical-Pull
(Steady)
4.2E-04 ±
3.5E-03
1.5E-03 ±
2.0E-03
0.98
(n.s.)
3.2E-02±
1.8E-01
1.0E-01 ±
1.5E-01
0.82
(n.s.)
Optical-Push
(Steady)
-3.7E-04 ±
2.9E-03
-2.2E-03 ±
1.7E-03
0.63
(n.s.)
-1.1E-01 ±
1.7E-01
-2.3E-01 ±
1.6E-01
0.60
(n.s.)
Optical-Pull
(Unteady)
3.6E-04 ±
1.8E-03
2.3E-03 ±
2.3E-03
0.67
(n.s.)
1.5E-02 ±
1.7E-01
8.0E-02 ±
1.7E-01
0.86
(n.s.)
Optical-Push
(Unsteady)
-1.6E-04 ±
2.5E-03
-1.6E-03 ±
3.8E-03
0.74
(n.s.)
2.0E-01 ±
1.7E-01
2.1E-02 ±
1.9E-01
0.46
(n.s.)
Optical-Roll
(cw)
-2.5E-03 ±
4.2E-03
-1.8E-03 ±
3.7E-03
0.98
(n.s.)
-2.6E-02 ±
1.7E-01
6.0E-03 ±
1.7E-01
0.90
(n.s.)
Optical-Roll
(ccw)
1.2E-03 ±
3.6E-03
-3.3E-03 ±
2.6E-03
0.74
(n.s.)
1.4E-02 ±
1.9E-01
-1.5E-01 ±
1.6E-01
0.86
(n.s.)
586
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