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	<front>
		<journal-meta>
			<journal-id journal-id-type="publisher-id">Jemr</journal-id>
			<journal-title-group>
				<journal-title>Journal of Eye Movement Research</journal-title>
			</journal-title-group>
			<issn pub-type="epub">1995-8692</issn>
			<publisher>
				<publisher-name>Bern Open Publishing</publisher-name>
				<publisher-loc>Bern, Switzerland</publisher-loc>
			</publisher>
		</journal-meta>
		<article-meta>
			<article-id pub-id-type="doi">10.16910/jemr.12.1.2</article-id>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Research Article</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>Effect of visual attention and horizontal vergence in three-dimensional space on occurrence of optokinetic nystagmus</article-title>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author">
					<name>
						<surname>Kanari</surname>
						<given-names>Kei</given-names>
					</name>
					<xref ref-type="aff" rid="aff1">1</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Kaneko</surname>
						<given-names>Hirohiko</given-names>
					</name>
					<xref ref-type="aff" rid="aff2">2</xref>
				</contrib>
				<aff id="aff1">
					<institution>Tamagawa University, Tokyo</institution>,
					<country>Japan</country>
				</aff>
				<aff id="aff2">
					<institution>Tokyo Institute of Technology, Kanagawa</institution>,
					<country>Japan</country>
				</aff>
			</contrib-group>
			<pub-date date-type="pub" publication-format="electronic">
				<day>28</day>
				<month>02</month>
				<year>2019</year>
			</pub-date>
			<pub-date date-type="collection" publication-format="electronic">
				<year>2019</year>
			</pub-date>
			<volume>12</volume>
			<issue>1</issue>
			<elocation-id>10.16910/jemr.12.1.2</elocation-id>
			<permissions>
				<copyright-year>2019</copyright-year>
				<copyright-holder>Kanari, K., &#x26; Kaneko, H.</copyright-holder>
				<license license-type="open-access">
					<license-p>This work is licensed under a Creative Commons Attribution 4.0 International License,							(						<ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">								https://creativecommons.org/licenses/by/4.0/</ext-link>), which permits unrestricted use and							redistribution provided that the original author and source are credited.</license-p>
				</license>
			</permissions>
			<abstract>
				<p>OKN corresponding to the motion of the fixating area occurs when a stimulus has two areas separated in depth containing motion in different directions. However, when attention and vergence are separately directed to areas with different motions and depths, it remains unclear which property of attention and vergence is prioritized to initiate OKN. In this study, we investigated whether OKN corresponding to motion in the attending or fixating area occurred when two motions with different directions were presented in the central and peripheral visual fields separated in depth. Results show that OKN corresponding to attended motion occurred when observers maintained vergence on the peripheral stimulus and attended to the central stimulus. However, OKN corresponding to each motion in the attending area and in the fixating area occurred when observers maintained vergence on the central stimulus and attended to the peripheral stimulus. The accuracy rate of the target detection task was the lowest in this condition. These results support the idea that motion in the attended area is essential for occurrence of OKN, and vergence and retinal position affect the strength of attention.</p>
			</abstract>
			<kwd-group>
				<kwd>Eye movement</kwd>
				<kwd>eye tracking</kwd>
				<kwd>vergence</kwd>
				<kwd>attention</kwd>
				<kwd>stereopsis</kwd>
				<kwd>binocular disparity</kwd>
				<kwd>optokinetic nystagmus</kwd>
			</kwd-group>
		</article-meta>
	</front>
	<body>
		<sec id="S1">
			<title>Introduction</title>
			<p>The eyes’ rhythmic movement, known as optokinetic nystagmus (OKN), is
					induced when a sustained moving stimulus is presented in the visual
					field. OKN consists of a slow phase (pursuit movements in the direction
					of stimulus motion) and a fast phase (saccadic return movements opposite
					the direction of motion) [<xref ref-type="bibr" rid="b1">1</xref>]. OKN serves to stabilize a moving
					stimulus’s image on the retina, and it has the following characteristics
					related to the stimulus’s physical features. OKN gain (ratio of slow
					phase velocity to stimulus velocity) decreases when a stationary object
					appears in the plane of the moving stimulus [<xref ref-type="bibr" rid="b2">2</xref>]. OKN gain also
					decreases as the width or area of the moving stimulus
					decreases [<xref ref-type="bibr" rid="b3">3</xref>]. Some studies have reported that OKN gain
					decreases when the central visual field is occluded [<xref ref-type="bibr" rid="b4">4</xref>,				<xref ref-type="bibr" rid="b5">5</xref>,				<xref ref-type="bibr" rid="b6">6</xref>,				<xref ref-type="bibr" rid="b7">7</xref>].
			</p>
			<p>OKN is influenced not only by the stimulus motion at eye position but
					also by that at attention position, which can be redirected to another
					location, while eye position is maintained in one location [<xref ref-type="bibr" rid="b8">8</xref>].
					For example, the motion on which the observer focuses elicits OKN when
					two patterns moving in different directions are superimposed on the same
					depth plane [<xref ref-type="bibr" rid="b9">9</xref>], and when a motion parallax stimulus containing
					multiple motion areas with different velocities are
					presented [<xref ref-type="bibr" rid="b10">10</xref>]. Attention paid to motion in the peripheral
					visual field facilitates OKN corresponding to that evoked by the motion
					when the central visual field-of-motion stimulus is
					absent [<xref ref-type="bibr" rid="b5">5</xref>,				<xref ref-type="bibr" rid="b6">6</xref>]. OKN corresponding to the motion direction of an
					attended (refers to the attention instructed by the target detection
					task in this study; the same hereinafter.) stimulus occurs when stimuli
					moving in different directions are presented in different areas on the
					same plane [<xref ref-type="bibr" rid="b11">11</xref>]. These studies indicate that OKN corresponding
					to attended motion occurs when stimuli are presented in the
					two-dimensional plane.</p>
			<p>OKN corresponding to a binocularly fused moving stimulus occurs when
					motion stimuli are presented in different depth planes. For example,
					when stimuli moving in opposite directions were presented in different
					depth planes at the central area and its upper and lower areas, OKN
					corresponding to the binocularly fused moving stimulus
					occurred [<xref ref-type="bibr" rid="b12">12</xref>]. Another study showed that OKN gain decreased as
					binocular disparity of motion stimulus increased, while vergence was
					kept on a vertical line with zero disparity relative to the
					display [<xref ref-type="bibr" rid="b13">13</xref>]. Attention seems to affect these results, showing
					the effect of vergence on OKN because directing vergence to certain
					depth should involve, at least partly, voluntarily control. However,
					effects of vergence and attention on OKN in three-dimensional space were
					not discussed in previous studies.</p>
			<p>The results of studies with a two-dimensional stimulus, as shown
					above, are presumed to show attention’s influence on OKN because the
					influence of vergence is constant all over the stimulus. Assuming that
					attention is the essential factor for initiating OKN in
					three-dimensional space, the claim in the previous study [<xref ref-type="bibr" rid="b12">12</xref>]
					that OKN occurred corresponding to motion on the vergence plane
					regardless of the central and peripheral visual fields can be
					interpreted as the effect of the observer’s attention directed with
					vergence. This study aimed to examine the validity of that presumption
					by investigating whether OKN corresponding to attended motion occurred
					when two movements in different directions were separately presented on
					different depth planes in the central and peripheral visual fields while
					manipulating vergence distance and attentional state.</p>
		</sec>
		<sec id="S2">
			<title>Methods</title>
			<p>This study presented two motion stimuli in different directions in
					the central and peripheral visual fields, separated in depth defined by
					binocular disparity. The observer attended to one motion stimulus while
					maintaining vergence distance on the anteroposterior axis at the center
					of the stimulus, independent of attention location. The observer
					responded with a numeral presented randomly and moved with the same
					velocity and direction as the random dots in the attended plane. This
					task’s purpose was to keep the observer’s attention on the instructed
					field of stimulus. We verified the vergence state during the trial by
					measuring binocular eye movements and investigated whether OKN occurred
					in correspondence to the attention field’s motion or the vergence
					distance’s motion.</p>
			<sec id="S2a">
				<title>Participants</title>
				<p>One author and six naïve volunteers (six males and one female, aged
						23–33 years) participated in this experiment. All had normal or
						corrected-to-normal visual acuity. They were verified to have a
						stereo-acuity of at least 40 sec of disparity using a stereo-test (The
						Fly Stereo-test, Stereo Optical Co., Inc.) and to perceive correctly the
						stimulus depth with ±4° of horizontal disparity with respect to the
						display plane before the experiment. All observers provided written
						informed consent before participating. The study was approved by the
						Tokyo Institute of Technology Epidemiological Research Ethics Committee
						and conducted in accordance with the Code of Ethics of the World Medical
						Association (Declaration of Helsinki).</p>
			</sec>
			<sec id="S2b">
				<title>Materials</title>
				<p>Figure 1 displays an example of stimuli. Left and right panels are
						for cross fusion, and center and right panels are for parallel fusion.
						The stimulus for the left-eye image was drawn in red and viewed through
						a red filter; the stimulus for the right-eye image was drawn in blue and
						viewed through a blue filter (the anaglyph technique). Background
						luminance was 0.01 cd/m<sup>2</sup>. The motion stimulus consisted of
						randomly positioned moving dots, with a size, velocity, and density of
						0.8 deg, 31.0 deg/s, and 0.4 dots/deg<sup>2</sup>, respectively.
						Luminance of a red dot for the left eye was 8.1 cd/m<sup>2</sup>, and of
						a blue dot for the right eye was 3.1 cd/m<sup>2</sup>. The difference in
						luminance between dots for the left and right eyes did not affect
						stereopsis. Figure 2 illustrates the stimulus schematically. The central
						stimulus was circular with a diameter of 13.6 deg and presented at the
						display’s center (the circular line shown in Figure 2 here was not
						actually presented). The peripheral stimulus was presented in the rest
						of the display (36.3 × 27.2 deg). The central stimulus
						and the peripheral stimulus were presented simultaneously. Dots in each
						stimulus area moved vertically, and areas’ motion directions were always
						opposite each other (upward and downward). The reason to use vertical
						motion was to facilitate the horizontal binocular fusion to the
						stimulus. Because the stimulus had horizontal disparity, the effort for
						binocular fusion sometimes produced horizontal eye movement similar to
						OKN. One of the two areas was presented on the display plane (visual
						distance 57.0 cm), and the other was presented on the plane with 4°
						(front) or −4° (behind) of disparity with respect to the display plane,
						corresponding to the theoretical distance of 35.6 cm or 143.8 cm,
						respectively, when the inter-ocular distance was 6.6 cm. Observers were
						instructed to confine their vergence to the plane with 4° or −4° of
						disparity. We used such a large disparity because the two different
						depth planes were fused when disparity of stimuli was small (Panum’s
						fusional area [<xref ref-type="bibr" rid="b14">14</xref>,					<xref ref-type="bibr" rid="b15">15</xref>]). The target used to maintain attention on
						the instructed depth plane was either “0” or “1.” The target’s size,
						velocity, direction, and depth were the same as those of the attended
						plane’s stimulus dots. Dots and the target of the central and peripheral
						areas disappeared at the areas’ borders.</p>
				<fig id="fig01" fig-type="figure" position="float">
					<label>Figure 1.</label>
					<caption>
						<p>Stimulus configuration used in the
						experiment: Left and center panels are for cross fusion, and center and
						right panels are for parallel fusion. By means of free-fusing, both
						cross and parallel fusers can make an impression on the 3D structure of
						the stimulus. The numeral “1” indicates the target (presented near the
						center).</p>
					</caption>
					<graphic id="graph01" xlink:href="jemr-12-01-b-figure-01.png"/>
				</fig>
				<fig id="fig02" fig-type="figure" position="float">
					<label>Figure 2.</label>
					<caption>
						<p>Schematic illustration of stimulus: Left
						and right panels, respectively, show front and top view of stimuli.
						Arrows show direction of motion. Circle (not actually presented) show
						border of area where dots were presented. Central and peripheral areas
						have different depths.</p>
					</caption>
					<graphic id="graph02" xlink:href="jemr-12-01-b-figure-02.png"/>
				</fig>
			</sec>
			<sec id="S2c">
				<title>Procedure</title>
				<p>Figure 3 displays the time course of stimuli presentation for one
						trial. In one trial, first, the observer was instructed to which plane
						to direct attention and vergence. Following the observer’s button press,
						a pair of dots—one for the left and one for the right eye—were
						presented. Then, the observer fused them to perceive one dot on the
						depth plane to which vergence was directed. After the observer fused the
						two dots, a button press caused stimuli to appear. The observer attended
						to the instructed motion stimulus while maintaining vergence on the
						instructed depth plane. During motion stimuli presentation, the observer
						directed the eyes to the central area. No fixation point was presented,
						and the duration of stimulus presentation was 3.6 s. In a trial, the
						target appeared once for 0.8 s in the attended area at randomly decided
						timing, 1.6–2.5 s after stimulus onset. Each dot appeared at the edge of
						the stimulus motion area and then moved continually to the area’s other
						edge. The target disappeared when it exceeded the center circle and the
						peripheral area’s boundary. A dot with zero disparity appeared for 2.5 s
						after presentation of a test stimulus. Then, the observer fixated the
						dot and responded with the target numeral (0 or 1) presented
						(subjectively). Response time was unlimited, and the observer received
						feedback. After the response, a button press launched the next
						trial.</p>
				<fig id="fig03" fig-type="figure" position="float">
					<label>Figure 3.</label>
					<caption>
						<p>Time course of stimulus presentation in a trial: Left and
						center panels are for cross fusion, and center and right panels are for
						parallel fusion. By means of free-fusing, both cross and parallel fusers
						can make an impression of the 3D structure of the stimulus. The observer
						attended to the motion stimulus while maintaining vergence at the
						different (or same) depth plane from attended plane on the
						anteroposterior axis at the center of stimulus.</p>
					</caption>
					<graphic id="graph03" xlink:href="jemr-12-01-b-figure-03.png"/>
				</fig>
				<p>Figure 4 illustrates a schematic of experimental conditions, i.e.,
						four conditions of vergence and attention: (a) to attend and direct
						vergence to the center of the stimulus (Attention Center/Vergence Center
						[ACVC], Figure 4a); (b) to attend and direct vergence to the periphery
						(Attention Periphery/Vergence Periphery [APVP], Figure 4b); (c) to
						attend to the center and to direct vergence to the periphery (Attention
						Center/Vergence Periphery [ACVP], Figure 4c); and (d) to attend to the
						periphery and to direct vergence to the center (Attention
						Periphery/Vergence Center [APVC], Figure 4d). These conditions were
						conducted in separate blocks, and their order differed among observers.
						Two conditions of vergence (±4°) and two conditions of motion direction
						(upward and downward) to which to attend were randomized within one
						block. Each condition of attended and vergence plane was repeated three
						times for each observer, and each observer took four blocks of different
						conditions, completing 48 trials.</p>
				<fig id="fig04" fig-type="figure" position="float">
					<label>Figure 4.</label>
					<caption>
						<p>Schematic illustration of stimulus in each
						condition. All panels show top view. Gray and black squares,
						respectively, show depth planes where attention was paid and vergence
						was directed. Dotted lines show the plane of display. See texts for the
						details.</p>
					</caption>
					<graphic id="graph04" xlink:href="jemr-12-01-b-figure-04.png"/>
				</fig>
			</sec>
			<sec id="S2d">
				<title>Apparatus &#x26; analysis</title>
				<p>Observers sat in a dark room with their heads fixed on a chin rest,
						viewing a CRT monitor (GDM F500R, SONY, 1400 × 1050 pixels, 36.3 × 27.2
						deg) from a distance of 57 cm. They observed the stimulus while wearing
						glasses with a red filter for the left eye and a blue filter for the
						right eye. Stimuli were produced and presented using a PC (MacBook Pro,
						Apple) and MATLAB (MathWorks) with Psychophysics Toolbox
						extensions [<xref ref-type="bibr" rid="b16">16</xref>,					<xref ref-type="bibr" rid="b17">17</xref>,					<xref ref-type="bibr" rid="b18">18</xref>]. Observers responded using a numeric
						keyboard.</p>
				<p>Binocular eye positions were recorded with an EyeLink CL (SR
						Research), a video-based eye tracker, and sampling data with 1000 Hz.
						Because it has been reported that the contact lenses slip on the eye
						during and before/after blinks [<xref ref-type="bibr" rid="b19">19</xref>], the data during that period
						is unreliable. Data for 200 ms around eye blinks were excluded from
						analysis to reduce the noises due to measurement and blinking itself.
						Peaks at the slow phase and fast phases’ transition points were detected
						using the “findpeaks” function in MATLAB, which finds local maxima in
						the data with some parameters. To find relevant peaks corresponding to
						saccades from the data including noise in the system or ocular tremor,
						we analyzed the peaks that dropped off on both sides by at least 0.1 deg
						relative eye position by setting a parameter of “findpeaks” function.
						OKN frequency was calculated by dividing the number of peaks in one
						trial by the duration of stimulus presentation (3.6 s). Velocities
						before and after the peaks were calculated using data for 50 ms and
						compared. Since it has been reported that the velocity of the fast phase
						requires no less than 10 deg/s [<xref ref-type="bibr" rid="b20">20</xref>], if at least one of the
						velocities was no less than 10 deg/s, the peak was defined as the point
						of phase transition in an OKN and the faster velocity of the two phases
						was defined as a velocity of fast phase. Slow phase velocity was
						calculated by averaging each trial’s velocities. Next, gains were
						averaged over three repetitive trials under each condition for each
						observer. Each OKN’s gain was defined as a ratio of slow phase velocity
						to stimulus velocity (31.0 deg/s), and the gain was defined as zero when
						the OKN frequency in the trial was zero. Gains corresponding to motion
						in attended and non-attended fields were calculated separately.
						Horizontal vergence was obtained from the two eyes’ visual direction.
						The interocular distance was assumed to be 6.6 cm. On the basis of the
						vergence angle to the display distance (6.64°), positive and negative
						vergence angles were defined as convergence and divergence,
						respectively.</p>
			</sec>
		</sec>
		<sec id="S3">
			<title>Results</title>
			<p>Figure 5 shows tracings of eye position for two naïve observers
					during one trial as examples. Each panel presents: (a) the result of the
					ACVC condition (attention and vergence directed to the center); (b) APVP
					condition (attention and vergence directed to the periphery); (c) ACVP
					condition (attention directed to the center, and vergence to the
					periphery); or (d) APVC condition (attention directed to the periphery
					and vergence to the center), respectively. In parentheses under the
					condition in the figure, the direction of attended motion is noted. The
					upper panel’s vertical axis presents the eye’s vertical position (deg),
					signed positive in the display’s upper side. The horizontal axis
					presents time (ms) from stimulus onset. The lower panel’s vertical axis
					presents the vergence angle relative to the display (deg), signed
					positive when eyes converged and negative when they diverged. The solid
					line shows the disparity of the plane to which eyes were directed, and
					the dotted line shows the disparity of the plane to which attention was
					directed. Line drawings inserted in each panel’s upper part present the
					predicted OKN’s shape, corresponding to the attended motion’s direction
					for each motion condition. For example, when observers attended to
					upward motion, the eye’s position was predicted to move upward slowly to
					pursue the motion of the stimulus and then move quickly downward. The
					left two and the right two panels show Observer 1 and Observer 2’s
					results, respectively.</p>
			<fig id="fig05" fig-type="figure" position="float">
				<label>Figure 5.</label>
				<caption>
					<p>Trace of eye position in a trial for two
					observers (OB1 and OB2): The upper four panels depict results of
					vertical eye position. The lower four panels depict results of
					horizontal vergence. The line drawing inserted above each panel presents
					a schematic representation of OKN corresponding to the attended motion
					in the condition. Horizontal lines in the lower panel show the disparity
					of the plane to which vergence was instructed to direct, and dotted
					lines show that to which attention was instructed to
					direct.</p>
				</caption>
				<graphic id="graph05" xlink:href="jemr-12-01-b-figure-05.png"/>
			</fig>
			<p>As Figure 5a’s upper panel shows, the eye moved downward slowly to
					follow the dots and then moved upward quickly when the observer attended
					to the downward motion in the central area and confined vergence to the
					same plane. Eye movement was OKN corresponding to the central (attended)
					motion. Figure 5a’s lower panel shows that the observer confined
					vergence mostly to the plane with −4° of disparity immediately after the
					test stimulus was presented, and then vergence shifted slightly to the
					plane of display (0° of disparity) when the observer was instructed to
					confine vergence to the plane with −4° of disparity. Similarly, in
					Figure 5b’s upper panel, the eye moved downward slowly and then moved
					back quickly when the observer attended to the downward motion in the
					peripheral area and confined vergence to the plane. Eye movement was OKN
					corresponding to the peripheral (attended) motion. Figure 5b’s lower
					panel shows that when the observer confined vergence to the plane with
					−4° of disparity, vergence varied around −4° of disparity. These OKN
					results follow those of previous studies [<xref ref-type="bibr" rid="b11">11</xref>,				<xref ref-type="bibr" rid="b12">12</xref>].
			</p>
			<p>Similarly, in Figure 5c’s upper panel, the eye moved up slowly and
					then moved down quickly when the observer attended to the upward motion
					in the central area and confined vergence to the plane of different
					depth in the peripheral area. Eye movement was OKN corresponding to the
					attended motion. Figure 5c’s lower panel shows that when the observer
					was instructed to confine vergence to the plane with 4° of disparity,
					the observer confined vergence to a position of about 8° of disparity
					immediately after the test stimulus was presented, and then, with time,
					vergence shifted to the plane with 4° of disparity. In Figure 5d’s upper
					panel, however, the eye sometimes moved down slowly and then moved up
					quickly (the first and third arrows in Figure 5d) when the observer
					attended the upward motion in the peripheral area and confined vergence
					to the plane of different depth in the central area. Eye movement was
					OKN corresponding to motion in the plane to which vergence was confined.
					Conversely, OKN corresponding to the attended motion also occurred (the
					second and forth arrows in Figure 5d). In Figure 5d’s lower panel, when
					the observer was instructed to confine vergence to the plane with −4° of
					disparity, the observer did so, to a position around −4° of disparity
					immediately after test stimulus presentation, and then, vergence shifted
					to a position of about −2° of disparity.</p>
			<p>To clarify the results’ trend, we calculated OKN frequencies
					corresponding to motion directions of attended and non-attended planes
					for each trial. In Figure 5a’s</p>
			<p>upper panel, for example, the attended motion’s direction was
					downward, and nystagmus corresponding to the motion occurred 12 times
					during a trial. We calculated the frequency of OKN for 1 sec and used
					that as an index, i.e., 3.33 Hz (12/3.6 s). Conversely, the non-attended
					motion’s direction was upward, and corresponding nystagmus did not
					occur. Therefore, the OKN frequency was 0. Averaged OKN frequencies for
					vergence 4° condition in ACVC, APVP, ACVP, and APVC were 2.407 (0.406),
					1.310 (0.406), 1.184 (0.364), and 0.245 (0.164), respectively (the value
					in parentheses shows standard deviation). Similarly, averaged OKN
					frequencies for vergence −4° condition were 2.037 (0.682), 1.296
					(0.536), 0.853 (0.406), and 0.311 (0.221). Averaged OKN frequencies for
					the upward condition were 1.872 (0.554), 1.303 (0.720), 0.926 (0.518),
					and 0.238 (0.286). Averaged OKN frequencies for the downward condition
					were 2.573 (0.606), 1.303 (0.413), 1.111 (0.541), and 0.317 (0.120). For
					all conditions, results of different depths (±4°) and of motion
					directions (upward and downward) were averaged because the OKN frequency
					did not significantly differ for different depths (main effects of
				<italic>condition</italic>;				<italic>F</italic>(3,18) = 32.262,
				<italic>p</italic> &#x3c; .001, main effects of <italic>depth</italic> ;
				<italic>F</italic>(1,6) = 2.612, <italic>p</italic> &#x3e; .10,
					interaction of <italic>condition</italic> vs. <italic>depth</italic>;
				<italic>F</italic>(3,18) = 1.903, <italic>p</italic> &#x3e; .10), and
					motion directions (main effects of <italic>condition</italic>;
				<italic>F</italic>(3,18) = 32.262, <italic>p</italic> &#x3c; .001, main
					effects of <italic>direction</italic> ;				<italic>F</italic>(1,6) = 1.116,
				<italic>p</italic> &#x3e; .10, interaction of <italic>condition</italic>
					vs. <italic>direction</italic>;				<italic>F</italic>(3,18) = 3.107,
				<italic>p</italic> &#x3e; .05) for each observer. Averaged results across
					observers are shown in Figure 6. Each panel presents the result for each
					combination of conditions of vergence and attended plane as shown in
					Figure 4. The horizontal axis presents the position of stimulus motion
					and of instructed vergence and attention in parentheses. The vertical
					axis presents OKN frequency corresponding to each area’s motion. Error
					bars show ± SEM.</p>
			<fig id="fig06" fig-type="figure" position="float">
				<label>Figure 6.</label>
				<caption>
					<p>Mean frequency of OKN in the experiment for each condition
					of directed vergence and attention: The horizontal axis presents the
					position of stimulus motion to which OKN corresponded, and the
					parentheses under that indicate instruction for observers. The vertical
					axis presents the frequency of OKN corresponding to the motion of each
					area. Error bars show ± 1 SEM.</p>
				</caption>
				<graphic id="graph06" xlink:href="jemr-12-01-b-figure-06.png"/>
			</fig>

			<p>The result in Figure 6a clearly shows that OKN frequency
					corresponding to central motion was significantly higher than that
					corresponding to peripheral motion when both attention and vergence were
					directed to the central area (<italic>F</italic>(1,6) = 129.380,
				<italic>p</italic> &#x3c; .001). This result was expected due to results
					from previous studies. Similarly, the result in Figure 6b shows that OKN
					frequency corresponding to peripheral motion was significantly higher
					than that corresponding to central motion when both attention and
					vergence were directed to the peripheral area (<italic>F</italic>(1,6) =
					25.032, <italic>p</italic> &#x3c; .005). The result in Figure 6c shows
					that OKN frequency corresponding to central</p>
			<p>motion was significantly higher than that corresponding to peripheral
					motion when attention was directed to the central area and vergence was
					directed to the peripheral area’s depth plane (<italic>F</italic>(1,6) =
					29.841, <italic>p</italic> &#x3c; .005). The result in Figure 6d shows,
					however, that OKN frequency corresponding to peripheral motion and to
					central motion did not significantly differ when attention was directed
					to the peripheral area and vergence to the central area
					(				<italic>F</italic>(1,6) = 1.404, <italic>p</italic> &#x3e; .10).</p>
			<p>To verify the significance of results of OKN frequency corresponding
					to the attended motion mentioned above, a one-way ANOVA was performed on
					data for the four conditions. The main effect of
				<italic>condition</italic> was significant for frequency
					(				<italic>F</italic>(3,18) = 32.262, <italic>p</italic> &#x3c; .001).
					Multiple comparison tests using Ryan’s method (α = 0.05) showed that
					differences between any combinations of results were significant, except
					for that between results of the APVP and the ACVP conditions
					(				<italic>p</italic> &#x3e; .10). As with analytical results on OKN
					frequency, we calculated the OKN gain corresponding to attended motion
					and non-attended motion in each trial. For example, in Figure 5c’s upper
					panel, the direction of non-attended motion was downward, and
					corresponding nystagmus did not occur. Therefore, the OKN gain
					corresponding to non-attended motion in this trial was 0. Conversely,
					the direction of attended motion was upward, and corresponding nystagmus
					occurred six times. Therefore, the average gain across six OKNs, 0.22,
					was used as the OKN gain corresponding to this trial’s attended motion.
					Averaged OKN gains for vergence 4° condition in ACVC, APVP, ACVP, and
					APVC were 0.416 (0.165), 0.400 (0.244), 0.258 (0.088), and 0.158
					(0.128), respectively (the value in parentheses shows standard
					deviation). Similarly, averaged OKN gains for vergence −4° condition
					were 0.425 (0.231), 0.403 (0.176), 0.198 (0.128), and 0.164 (0.120).
					Averaged OKN gains for the upward condition were 0.395 (0.196), 0.3424
					(0.266), 0.224 (0.118), and 0.194 (0.201). Averaged OKN gains for the
					downward condition were 0.459 (0.274), 0.379 (0.206), 0.232 (0.118), and
					0.127 (0.065). Results of different depths (± 4°) and motion directions
					(upward and downward) were averaged in each condition because the OKN
					gain did not differ significantly for different depths (main effects of
				<italic>condition</italic>;				<italic>F</italic>(3,18) = 9.388,
				<italic>p</italic> &#x3c; .001, main effects of <italic>depth</italic> ;
				<italic>F</italic>(1,6) = 0.509, <italic>p</italic> &#x3e; .10,
					interaction of <italic>condition</italic> vs. <italic>depth</italic>;
				<italic>F</italic>(3,18) = 0.678, <italic>p</italic> &#x3e; .10) and
					motion directions (main effects of <italic>condition</italic>;
				<italic>F</italic>(3,18) = 9.404, <italic>p</italic> &#x3c; .001, main
					effects of <italic>direction</italic> ;				<italic>F</italic>(1,6) = 0.025,
				<italic>p</italic> &#x3e; .10, interaction of <italic>condition</italic>
					vs. <italic>direction</italic>;				<italic>F</italic>(3,18) = 0.845,
				<italic>p</italic> &#x3e; .10) in each condition. Average results of gain
					across observers are shown in Figure 7. The horizontal axis is the same
					as in Figure 6. The vertical axis shows the gain (slow phase
					velocity/stimulus velocity) of OKN corresponding to motion of the
					central or peripheral areas. Error bars show ± SEM. The result in Figure
					7a shows that the OKN gain corresponding to central motion was
					significantly higher than that corresponding to peripheral motion when
					both attention and vergence were directed to the central area
					(				<italic>F</italic>(1,6) = 27.134, <italic>p</italic> &#x3c; .005). The
					result in Figure 7b shows that OKN gain corresponding to peripheral
					motion was significantly higher than that corresponding to central
					motion when both attention and vergence were directed to the peripheral
					area (<italic>F</italic>(1,6) = 17.588, <italic>p</italic> &#x3c; .01),
					although motion in the opposite direction was presented in the central
					area. These results are consistent with previous studies and
					qualitatively consistent with present frequency results (Figures 6a and
					6b). The result in Figure 7c shows that OKN gain corresponding to
					central motion was significantly higher than that corresponding to
					peripheral motion when attention was directed to the center area and
					vergence was directed to the peripheral area (<italic>F</italic>(1,6) =
					11.851, <italic>p</italic> &#x3c; .05). The result in Figure 7d shows that
					OKN gain corresponding to peripheral motion did not significantly differ
					from that corresponding to central motion when attention was directed to
					the peripheral area and vergence was directed to the central area
					(				<italic>F</italic>(1,6) = 0.364, <italic>p</italic> &#x3e; .10). These
					results are also qualitatively consistent with frequency results
					(Figures 6c and 6d).</p>
			<fig id="fig07" fig-type="figure" position="float">
				<label>Figure 7.</label>
				<caption>
					<p>Mean gain of OKN in the experiment for
					each condition of vergence and attention instructed to direct: The
					vertical axis presents the gain of OKN corresponding to the motion of
					each area. Other aspects of the figure are the same as those in Fig
					6.</p>
				</caption>
				<graphic id="graph07" xlink:href="jemr-12-01-b-figure-07.png"/>
			</fig>
			<p>To verify the significance of results of OKN gain corresponding to
					the attended motion mentioned above, a one-way ANOVA was performed on
					data for the four conditions. As a result, the main effect of
				<italic>condition</italic> was significant for frequency
					(				<italic>F</italic>(3,18) = 9.404, <italic>p</italic> &#x3c; .001).
					Multiple comparison tests using Ryan’s method (α = 0.05) showed that
					differences between any combination of results were significant, except
					for the combination in which attention and vergence were directed to the
					same plane (Figures 6a and 6b) and that in which attention and vergence
					were directed to different planes (Figures 6c and 6d)
					(				<italic>p</italic> &#x3e; .10).</p>
			<p>Mean results of the vergence angle (deg) and percentage of correct
					answers for the target detection task (%) in each condition are shown in
					Table 1. The mean percentage of keeping vergence within ±1 deg of the
					instructed plane during a trial in conditions of ACVC, APVP, ACVP, and
					APVC were 38.0 (17.7), 29.6 (18.9), 22.7 (12.2) and 30.3 (14.6) %,
					respectively (the value in parentheses shows standard deviation). In the
					table, we also present results of a paired t-test to verify whether the
					mean vergence angle when confining vergence to 4° and −4° of disparity
					differed significantly from theoretical values of 4° and −4°
					respectively. As a result, in all conditions, the mean vergence angle
					when confining vergence to 4° of disparity (cross disparity) did not
					differ significantly from the theoretical value of 4°; however, the mean
					vergence angle when confining vergence to −4° of disparity (uncrossed
					disparity) did significantly differ from the theoretical value of −4°.
					This result indicates that the mean vergence to −4° of disparity was not
					directed to the instructed vergence plane. To test for significance in
					differences of mean vergence angle in each condition when instructed to
					direct vergence to −4° of disparity, a one-way ANOVA was performed. The
					main effect of <italic>condition</italic> was not significant for mean
					vergence angle (<italic>F</italic>(3,18) = 0.796, <italic>p</italic>
					&#x3e; .50). Therefore, we suppose the reason for the difference in the
					results of OKN frequency and gain in these conditions was caused by
					directing attention and not by the difference in vergence angle.</p>

			<table-wrap id="t01" position="float">
				<label>Table 1</label>
				<caption>
					<p>Mean vergence angle, a paired t-test, and accuracy of target
					detection task in each condition.</p>
				</caption>
				<table frame="hsides" rules="groups" cellpadding="3">
					<thead>
						<tr>
							<th/>
							<th>
								<bold>ACVC</bold>
							</th>
							<th/>
							<th>
								<bold>APVP</bold>
							</th>
							<th/>
							<th>
								<bold>ACVP</bold>
							</th>
							<th/>
							<th>
								<bold>APVC</bold>
							</th>
							<th/>
						</tr>
					</thead>
					<tbody>
						<tr>
							<td>
								<bold>(a) Vergence condition</bold>
							</td>
							<td>4°</td>
							<td>−4°</td>
							<td>4°</td>
							<td>−4°</td>
							<td>4°</td>
							<td>−4°</td>
							<td>4°</td>
							<td>−4°</td>
						</tr>
						<tr>
							<td>
								<bold>(b) Mean angle of vergence (SE)</bold>
							</td>
							<td>3.96° (0.51)</td>
							<td>−2.35° (0.34)</td>
							<td>4.49° (0.65)</td>
							<td>−2.85° (0.19)</td>
							<td>4.42° (0.63)</td>
							<td>−2.34° (0.21)</td>
							<td>4.25° (0.11)</td>
							<td>−2.71° (0.48)</td>
						</tr>
						<tr>
							<td>
								<bold>(c) <italic>p</italic> value (t-test): (a) vs
										(b)</bold>
							</td>
							<td>0.95</td>
							<td>0.029*</td>
							<td>0.48</td>
							<td>0.001*</td>
							<td>0.52</td>
							<td>0.000*</td>
							<td>0.068</td>
							<td>0.038*</td>
						</tr>
						<tr>
							<td>
								<bold>(d) Percent correct (SE)</bold>
							</td>
							<td>66.6% (7.7)</td>
							<td/>
							<td>69.6% (4.5)</td>
							<td/>
							<td>70.2% (4.7)</td>
							<td/>
							<td>45.2% (5.0)</td>
							<td/>
						</tr>
					</tbody>
				</table>
				<table-wrap-foot>
					<fn id="FN1">
						<p>ACVC condition (attention and vergence directed to the center);
					APVP condition (attention and vergence directed to the periphery); ACVP
					condition (attention directed to the center, and vergence to the
					periphery); APVC condition (attention directed to the periphery and
					vergence to the center).</p>
					</fn>
				</table-wrap-foot>
			</table-wrap>
			<p>Mean correct-answer rates to the target detection task in conditions
					of attended and vergence plane, ACVC, APVP, ACVP, and APVC (Figures 4a,
					4b, 4c, and 4d) were 66.6%, 69.6%, 70.2%, and 45.2%, respectively. The
					correct-answer rate was about 66% in the ACVC condition, which indicates
					that this task sufficient for participants to maintain their attention
					until the target was detected. To test for significance in differences
					of correct-answer mean rates in each condition, a one-way ANOVA was
					performed. The main effect of <italic>condition</italic> was significant
					for mean rates of correct answer (<italic>F</italic>(3,18) = 4.845,
				<italic>p</italic> &#x3c; .05). Multiple comparison tests using Ryan’s
					method (α = 0.05) showed that differences between the value in APVC
					(attention directed to the peripheral area and vergence to the central
					area) and the value in other conditions differed significantly
					(				<italic>p</italic> &#x3c; .05).</p>
		</sec>
		<sec id="S4">
			<title>Discussion</title>
			<p>In this study, we examined the more essential factors of motion for
					generating OKN, retinal location, vergence location, or attentional
					location. For this purpose, we investigated OKN properties when two
					motions with different directions were presented in central and
					peripheral visual fields and on different depth planes, while separately
					manipulating vergence and attention direction. As a result, OKN
					corresponding to attended motion occurred when the plane of attended
					motion was the same as the plane of vergence, no matter whether motion
					was presented in the periphery or the center. This result indicates that
					retinal location is not essential for generating OKN and is consistent
					with the previous study [<xref ref-type="bibr" rid="b12">12</xref>]. In the condition with attention
					directed to the center and vergence to the plane of periphery, OKN
					corresponding to attended motion mainly occurred. However, in the
					condition with attention directed to the periphery and vergence to the
					center, OKN corresponding to the motion of the attended plane and of the
					vergence plane occurred equally. These results indicate that attention
					is always necessary for OKN’s occurrence but vergence is not necessarily
					important for OKN’s occurrence.</p>
			<p>Analysis of the relationship between the vergence position and OKN
					frequency indicates that motion in the vergence plane is not essential
					for OKN to occur. In the condition that the plane of attention was
					consistent with the plane of vergence, observers exactly confined
					vergence on the instructed plane when the stimulus had crossed disparity
					(front), while observers confined vergence in front of the instructed
					plane when the stimulus had uncrossed disparity (behind). However, OKN
					frequencies and gains in these conditions did not differ significantly.
					In addition, in conditions in which attention and vergence were directed
					to different planes, OKNs corresponding to the attended plane’s motion
					occurred, but those corresponding to motion on the vergence plane were
					much less or about the same. These results indicate that vergence is not
					an essential factor for OKN’s occurrence.</p>
			<p>From the present experiment’s results, we presume that attention is
					the essential factor in producing OKN when motions with different
					directions are presented at different depths. This is indicated because
					many OKNs corresponding to attended motion occurred in the ACVP
					condition (attention directed to the center and vergence to the
					periphery) (Figure 4c) and in conditions of ACVC and APVP (Figures 4a
					and 4b). The results that OKN frequency and gain corresponding to
					attended motion and to motion on the vergence plane did not differ
					significantly in the APVC condition (attention directed to the periphery
					and vergence to the center) (Figure 4d) might indicate the importance of
					motion on the plane of vergence for OKN. However, the accuracy rate of
					target detection tasks in this condition was much lower (45.2%) than
					those in other conditions (66.6%, 69.6%, and 70.2%). These results
					indicate that the magnitude of attention directed to the instructed
					plane in the APVC condition was weaker than in other conditions. The
					target detection rates in this condition were likely hindered by the
					lack of robust OKN. As shown in Figure 5, vergence shifted from the
					vergence plane to the target plane during a trial. This fact indicates
					that attention and vergence were not completely separated. Therefore, it
					would be possible to suppose that the target detection rate was low
					because the occurrence of OKN decreased and the image of a target was
					not stabilized on the retina properly.</p>
			<p>Results below are also consistent with attention’s magnitude being
					essential for OKN frequency and gain. OKN gains corresponding to
					attended motion were lower in conditions in which attended and vergence
					planes differed than in conditions in which they were the same. This is
					presumed a decrease in the magnitude of attention to the attended plane
					due to attention remaining on the plane of vergence. In the previous
					study, OKN corresponding to motion of the central area occurred when
					observers confined vergence to the peripheral area [<xref ref-type="bibr" rid="b12">12</xref>],
					although this hardly occurred in this study (Figure 6b). We suppose the
					reason for the difference is the target detection task’s existence. We
					also suppose that OKN corresponding to the central motion occurred in
					the previous study [<xref ref-type="bibr" rid="b12">12</xref>] because observers’ attention remained in
					the central area as well as in the peripheral area. Moreover, OKN
					corresponding to central motion did not occur in the present study
					because the target detection task caused steady, focused attention on
					peripheral motion.</p>
			<p>However, we did not deny the possibility that stimulus features have
					direct effects on OKN frequency and gain. In some conditions, a
					difference appeared in OKN frequency and gain, but no difference in the
					target detection task’s accuracy rate, thus indicating this presumption.
					For example, in conditions ACVC and APVP (attention and vergence
					directed to the same plane), no significant difference appeared in the
					target detection task’s accuracy rate although significant difference
					appeared in OKN frequency. In addition, in conditions in which attended
					and vergence plane were inconsistent, OKN gains were lower than in
					conditions in which attended and vergence plane were consistent. As
					mentioned in the previous study [<xref ref-type="bibr" rid="b13">13</xref>], the reason for the
					difference is linkage between the optokinetic system and the
					stereoscopic system. The OKN gain in animals with stereoscopic vision
					was higher than those without it because the stereoscopic signal routed
					through the visual cortex supplements direct inputs from the retina to
					the pretectum [<xref ref-type="bibr" rid="b21">21</xref>,				<xref ref-type="bibr" rid="b22">22</xref>,				<xref ref-type="bibr" rid="b23">23</xref>]. The OKN gain would decrease in conditions
					in which attended and vergence plane were inconsistent because
					supplemental cortical inputs to subcortical mechanisms controlling OKN
					decreased due to the diplopic image of attended motion.</p>
			<p>Attention can be voluntarily separated from the position of the gaze
					and vergence although attention is normally linked to them. However,
					their connection to attention is enhanced by gazing and directing
					vergence together. In such a case, observers have difficulty directing
					attention to a different position and depth from the point of gaze and
					vergence. OKN corresponding to attended motion occurred when motion
					stimuli with different directions were presented at central and
					peripheral visual fields on a planar surface [<xref ref-type="bibr" rid="b11">11</xref>] or when
					attention was directed to the central field and vergence was directed to
					the peripheral plane at a different depth from the center. However, OKNs
					corresponding to the attended motion were weak in the APVC condition,
					probably due to the decrease in attentional magnitude to the peripheral
					area because central vision and binocular fusing were not combined. In
					summary, separating attention from the central area is not difficult,
					but separating attention from a binocularly fused image on the central
					area is quite difficult. Certainly, since physical factors such as
					stimulus velocity, size, and motion direction (orthogonal directions)
					are related to OKN [<xref ref-type="bibr" rid="b5">5</xref>], the relationship between these and
					attention should also be considered and such an investigation is
					needed.</p>
		</sec>
		<sec id="S5">
			<title>Conclusion</title>
			<p>In this study, we investigated whether OKN corresponding to attended
					motion occurred when two motions in different directions were presented
					in central and peripheral visual fields separated by depth. As a result,
					in conditions in which attention and vergence were directed to the same
					plane, OKN corresponding to motion on the plane of attention and
					vergence occurred regardless of the motion’s presentation position. In
					the ACVP condition (attention directed to the center and vergence to the
					periphery), OKN corresponding to the attended motion occurred. In the
					APVC condition (attention directed to the periphery and vergence to the
					center), however, OKNs corresponding to motions on the attention plane
					and on the vergence plane occurred. Analysis of horizontal vergence and
					the target detection task’s accuracy rate during the trial indicated
					that the motion of the attended position, rather than that of the
					vergence position or that on the central visual field, is essential for
					occurrence of OKN. The relationship between OKN frequency and gain and
					the accuracy rate of target detection task during the trial is
					consistent with the idea that magnitude of attention is essential for
					properties of OKN.</p>
			<p>Recently, several reports have demonstrated that visual attention
					relates to pupillary light reflex [<xref ref-type="bibr" rid="b24">24</xref>,				<xref ref-type="bibr" rid="b25">25</xref>,				<xref ref-type="bibr" rid="b26">26</xref>],
					micro-saccades [<xref ref-type="bibr" rid="b27">27</xref>,				<xref ref-type="bibr" rid="b28">28</xref>], and vergence eye
					movements [<xref ref-type="bibr" rid="b29">29</xref>,				<xref ref-type="bibr" rid="b30">30</xref>]. We suppose it possible to predict the
					directed area of attention based on OKN direction when areas of motion
					have different directions in the visual field. By using this method to
					predict attentional location in a visual stimulus with various
					directions of motion from OKN, it would be possible to know the location
					to which a driver is attending (to up or down) in the optical flow, for
					example. In addition, predicting attentional state and position more
					accurately by combining knowledge from the present study and previous
					studies’ findings would be possible. To realize such a system, we need
					to ascertain the relationship between attention and OKN, pupillary
					response, micro-saccades and other eye movements in more complex
					situations in real scenes.</p>
		</sec>
		<sec id="S6" sec-type="COI-statement">
			<title>Ethics and Conflict of Interest</title>
			<p>The authors declare that the contents of the article are in agreement
					with the ethics described in
				<ext-link ext-link-type="uri" xlink:href="http://biblio.unibe.ch/portale/elibrary/BOP/jemr/ethics.html">http://biblio.unibe.ch/portale/elibrary/BOP/jemr/ethics.html</ext-link>
					and that there is no conflict of interest regarding the publication of
					this paper.</p>
		</sec>
		<sec id="S7">
			<title>Acknowledgements</title>
			<p>We appreciate the volunteers for participating in this study and
					anonymous reviewers for their valuable comments and suggestions, which
					improved the quality of the paper.</p>
		</sec>
	</body>
	<back>
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