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Biological Psychology 84 (2010) 437–450
Contents lists available at ScienceDirect
Biological Psychology
journal homepage: www.elsevier.com/locate/biopsycho
Review
Emotion and the motivational brain §
Peter J. Lang * , Margaret M. Bradley
CSEA, Box 112766, University of Florida, Gainesville, FL 32611, United States
ARTICLE INFO
ABSTRACT
Article history:
Received 26 May 2009
Accepted 20 October 2009
Available online 30 October 2009
Psychophysiological and neuroscience studies of emotional processing undertaken by investigators at
the University of Florida Laboratory of the Center for the Study of Emotion and Attention (CSEA) are
reviewed, with a focus on reflex reactions, neural structures and functional circuits that mediate
emotional expression. The theoretical view shared among the investigators is that expressed emotions
are founded on motivational circuits in the brain that developed early in evolutionary history to ensure
the survival of individuals and their progeny. These circuits react to appetitive and aversive
environmental and memorial cues, mediating appetitive and defensive reflexes that tune sensory
systems and mobilize the organism for action and underly negative and positive affects. The research
reviewed here assesses the reflex physiology of emotion, both autonomic and somatic, studying affects
evoked in picture perception, memory imagery, and in the context of tangible reward and punishment,
and using the electroencephalograph (EEG) and functional magnetic resonance imaging (fMRI), explores
the brain’s motivational circuits that determine human emotion.
2009 Elsevier B.V. All rights reserved.
Keywords:
Emotion
Neuroscience
fMRI
ERP
Picture
Imagery
Eye
Contents
1.
Predator and prey: The defense cascade. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
439
1.1.
A computer simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
439
1.2.
Autonomic responses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
440
1.3.
The probe startle reflex . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
441
1.4.
The brain in threat and reward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
441
2.
The late positive potential and motivational relevance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
441
2.1.
Complexity or arousal. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
441
2.2.
Attention and habituation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
442
3. What brain structures underlie the ERP late positive potential?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
442
4.
Amygdala/visual cortex connections during picture viewing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
444
5.
The brain begins at the eye . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
444
6.
Differences in brain circuit activation for pleasant and unpleasant cues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
446
6.1.
Looking at pictures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
446
6.2.
Emotional imagery and appetitive motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
448
7.
Summary and conclusions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
448
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
449
§ The experiments reviewed here were in the main accomplished at the NIMH
Center for the Study of Emotion and Attention at the University of Florida. Many
significant contributors to the research reviewed here are now investigators at
other institutions, including Andreas L ¨w (Greifswald University, Germany), Dean
Sabatinelli (University of Georgia, USA), Maurizio Codispoti and Vera Ferrari
(University of Bologna, Italy), Harald Schupp (University of Konstanz, Germany),
Bruce Cuthbert (University of Minnesota, USA), Francesco Versace (MD Anderson
Cancer Center, USA), Tobias Flaisch (University of Konstanz, Germany), and Laura
Miccoli (Granada, Spain). We also take pleasure in acknowledging the contributions
of current Center investigators including Vincent Costa, Andreas Keil, and Lisa
McTeague. The research was supported in part by a National Institute of Mental
Health grant, P50 MH-72850.
* Corresponding author.
E-mail address: plang@phhp.ufl.edu (P.J. Lang).
The general thesis examined here is that experienced emotions
are founded on the activation of neural circuits that evolved in the
mammalian brain to ensure the survival of individuals and their
progeny. Primitively, these motive circuits were engaged by
external stimuli that are appetitive and potentially life sustaining,
or alternatively, represent threats to the organism’s survival. The
psychobiological consequences of this neural firing are potentially
twofold: On the one hand, they engage sensory systems that
increase attention and facilitate perceptual processing, and on the
other, they initiate reflex responses that mobilize the organismand
prompt motor action.
0301-0511/$ – see front matter 2009 Elsevier B.V. All rights reserved.
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P.J. Lang, M.M. Bradley / Biological Psychology 84 (2010) 437–450
Fig. 1. Schematic diagram of the outputs of the basolateral nucleus of the amygdala to various target structures, and the subsequent outputs and targets of the amygdala’s
central nucleus (CeA) and the lateral basal nucleus of the stria terminalis (BNST: the ‘‘extended’’ amygdala). Known and possible functions of these connections are briefly
described ( Davis and Lang, 2003 ).
Research with animals (e.g., Davis, 2000; Fanselow and Poulos,
2005; Kapp et al., 1994; LeDoux, 2003 ) has defined the key neural
structures in this survival network (see Fig. 1 : Lang and Davis, 2006 ;
see also, Davis and Lang, 2003 ): The bilateral amygdalae – two small,
almond shaped bundles of nuclei in the temporal lobe – plays a
central role. Each amygdala receives input fromcortex and thalamus
(sensory) and hippocampus (memory), subsequently engaging
through the central nucleus and extended amygdala (bed nucleus
of the stria terminalis) a range of other brain centers that modulate
sensory processing (vigilance), increase related information proces-
sing, and activate autonomic and somatic structures that mediate
defensive or appetitive actions.
It is convenient to consider this survival circuit as organized
into two motivational systems, one defensive and associated with
reports of unpleasant affect and the other appetitive, associated
with pleasant affect. Konorski (1967) early conceived such a
motivational typology, keyed to the survival role of the body’s
many unconditioned reflexes. Exteroceptive reflexes were either
preservative (e.g., ingestion, copulation, nurture of progeny) or
protective (e.g., withdrawal from or rejection of noxious agents). He
further suggested that affective states were consistent with this
preservative/protective grouping: Preservative emotions include
such affects as sexual passion, joy, and nurturance; fear and anger
are protective affects. Dickinson and Dearing (1979) developed
Konorski’s distinction, renaming the two motivational systems,
aversive and attractive, with each again activated by a different, but
equally wide range of unconditioned stimuli, determining
perceptual-motor patterns and the course of learning. In this
general view, affective valence is determined by the dominant
motive system: the appetitive system (preservative/attractive)
prompts positive affect; the defense system (protective/aversive)
is the source of negative affect. Affective arousal reflects the
‘‘intensity’’ of motivational mobilization, determined originally by
degree of survival need and the imminence or probability of
nociception or appetitive consummation. In this regard, it is
pertinent that factor analyses of emotional/evaluative language
(since Osgood et al., 1957 ; see also, Russell and Mehrabian, 1977;
Bradley and Lang, 1994 ) have consistently found two main factors
accounting for the most variance among affect descriptors:
Emotional valence (positive/pleasant/appetitive vs. negative/aver-
sive/defensive) and arousal (intensity of activation). Thus, it would
appear that, despite the great number and diversity of emotional
words, the underlying structure of affective language appears to
reflect the dual motive system model—appetitive and defensive
neural circuits that vary in the vigor of their activation.
The defense system is ultimately a fight or flight circuit, but in
response to danger cues it also mediates behavioral ‘‘freezing’’
(hiding), increased vigilance, and counter-threat displays in animal
subjects. The appetitive system is activated variously in alimenta-
tion, sex, and nurturance of progeny. However, as will be seen,
although some reactions are uniquely appetitive or defensive, many
physiological and behavioral patterns are similar in both contexts of
arousal, and are mediated by the same neural structures.
The view to be elaborated here is that these survival circuits in
primitive cortex and the limbic brain are the stuff of human
motivation, and that motivational arousal is the foundation of
emotion. From this neuroscience perspective, human emotions can
be described as dispositions to action (e.g., anger > attack; sexual
desire > approach; fear > escape—see also Frijda, 1986 ). That is,
expressed emotions are grounded in motivational circuits that
feed back to sensory systems, heightening vigilance and informa-
tion gathering, and importantly, prompting reflexive autonomic
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439
and motor responses that in evolutionary history acted directly to
counter
hypothesis is that reports of aversive arousal reflect an atavistic
distance parameter, and that the changes in physiology when
viewing unpleasant pictures reinstantiate reactions that in prey
animals changed as threatened confrontation became increas-
ingly imminent ( Lang et al., 1997 ). From this perspective it is
assumed that a human participant looking at an unpleasant/
aversive picture is viewing threat at a distance, analogous to a prey
animal (e.g., gazelle) apprehending a distant predator (e.g., a lion)
from afar. Increases in rated arousal might be associated with
progressive changes in reflex physiology that are similar to those
observed if a threatening event is increasingly imminent—the lion
approaches. That is, reports of emotional arousal indicate,
however imperfectly, the intensity of defense system activation
which then deploys different reflex responses for remote threats
(where confrontation is uncertain) than for an increasingly
imminent encounter. At a distance, perceptual processing and
information gathering dominate, but as the distance from a
threatening stimulus diminishes, organismmobilize increasingly
for coping action—the fight/flight imperative.
The aim of the first research to be described here is to examine
changes in reaction patterns as motive cues appear to loom
progressively closer, as well as to consider possible differences
(and similarities) associated with cues that signal pleasant or
alternatively, unpleasant consequences (reward or punishment).
In a series of classic studies, Miller (1959) assessed behavioral
responses (latency and strength of response) in rodents confined to
an alley maze, and defined motivational gradients of approach to
food reward vs. avoidance of electric shock. His work showed
greater relative approach motivation when the animal was distant
from the reward, but that the strength of avoidance rapidly
superseded approach when the goal was proximal. More recently
Kahneman and Tversky (2000) have reported a similar advantage
for aversive motivation in human beings, showing that motivation
to avoid loss greatly exceeds motivation to gain new resources.
threats and escape punishment, or achieve needed
rewards.
In humans, affective percepts, thoughts, and images act as
motive cues that automatically engage the older limbic circuits and
reflex patterns. Of course, with evolution of the cerebrum came our
human metamorphic capacity to delay, modulate or inhibit overt
actions, providing for more flexible and adaptive responses to
achieve survival’s aims. Nevertheless, the primitive physiology of
action preparation persists, mobilizing muscles and glands and
placing sensory systems on high alert—functions that are the
physiological manifestations of emotional expression.
This essay considers research undertaken from this perspective,
first examining bodily, behavioral, and brain reactivity associated
with threatening or appetitive cues, as they vary in their proximity
to, and imminence of, punishment or reward. Subsequently, we
describe research with emotional pictures, assessing EEG event-
related potentials, eye tracking, and changes in pupil dilation that
co-vary with emotional arousal. Finally, we consider recent fMRI
research that delineates structural and network activation
differences for appetitive and aversive cues, and show a common
activation of the brain’s motivational circuits in emotional
perception and mental imagery.
1. Predator and prey: The defense cascade
In considering the mortal confrontations between predator and
prey, ethologists and comparative psychologists have defined
characteristic response patterns that change systematically with
the proximity and probability of an encounter (e.g., Blanchard and
Blanchard, 1989; Campbell et al., 1997; Timberlake, 1993; Tinber-
gen, 1951 ). When one antagonist perceives the other, responses are
sequentially deployed that vary in function and emphasis with the
imminence of a physical confrontation: For prey, the sequence
enhances the probability that a threat will be survived; for the
predator, it optimizes the chance of a final strike and capture. In
many ways the required responses (and their mediating brain
circuits) are broadly similar, consisting of augmented vigilance (a
risingdemand for attentional resources), accompaniedby increasing
physiological mobilization and a readiness for action (fight/flight or
strike/capture). In the natural environment, of course, the same
organism often plays both roles, foraging for rewards, but wary of
being attacked: A small bird fishing formodest game risks the notice
of an eagle, a larger, more voracious species that views the fisher and
its catch as its proper prey.
In a recent experiment ( L ¨w et al., 2008 ), we examined
anticipatory brain and reflex reactions in human beings in the
laboratory using a simulation that was modeled on features of the
predator–prey survival scenario, in which the participant acted
both parts. The research was prompted by previous data indicating
that viewing unpleasant, emotionally evocative pictures elicits
patterns of physiological reflex reactions that vary markedly (in
direction and amplitude) with evaluative reports of the intensity of
affective arousal (e.g., Lang et al., 1997 ). Thus, some autonomic
responses, such as skin conductance or pupil dilation, show a
monotonic increase with rated emotional arousal. Heart rate,
however, decreases with greater arousal, except when viewing
aversive pictures that prompt the reports of highest arousal (e.g., in
phobic reactions), which then show a dramatic tachycardia ( Hamm
et al., 1997 ). The probe startle reflex also shows directional
changes, initially inhibited and then increasingly potentiated with
greater rated arousal of individual aversive picture cues ( Bradley
et al., 2006; Cuthbert et al., 1996; Lang, 1995 ).
This directional variability within and between measures as
emotional intensity increases suggests that different defensive
functions are being served along the arousal continuum. One
1.1. A computer simulation
The predator/prey research environment took the form of a
computer simulation: Participants observed a continuous stream
of briefly presented pictorial images (see Fig. 2 ). Most of these
images depicted motivationally neutral objects, animals, or people,
each replacing the other at a constant rate in a continuous flow,
mimicking the serial humdrum of daily life. Occasionally, however,
a picture appeared that had motivational significance: An offered
fist-full of money or alternatively, an attacker’s hand pointing a
gun at the viewer. These motivationally relevant images were
sometimes repeated several times in a sequence, each time larger,
as if the gun or money were moving closer to the viewer. This
‘‘looming’’ sequence could continue for a few ‘‘foil’’ trials, ending
with naught but a return to the neutral image stream.
If, however, the image continued its approach, the player was
metaphorically in the predator–prey strike zone. At some point in
this region, the background of the picture (gun or money) changed
color, signaling the participant to press a reaction-time-key as
rapidly as possible. On money trials, a fast response resulted in a
reward of 1$; a slow response produced no gain and an image of
the money burning up. If reactions were slow on a threatening gun
trial, the gun appeared to fire and 1$ was deducted from the
participant’s stake; with a timely response, however, she/he
escaped the potential loss and a steel door slammed shut, blocking
the gunner. As a control procedure, neutral pictures also some-
times appeared to loom, but, when their background color
changed, a key press (under no time pressure) only served to
continue the sequence of pictures.
The experimental task permitted the evaluation of both reflex
reactions and brain potentials as they are modulated by increasing
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P.J. Lang, M.M. Bradley / Biological Psychology 84 (2010) 437–450
Fig. 2. Diagram of the experimental design: A continuous stream of picture stimuli was presented throughout the experiment. Most of these pictures were emotionally
neutral in content (A). However, a fist-full of money (B) or a gun aimed at the viewer (C) occasionally appeared in the stream. On response trials (D), the gun, themoney, or one
of the neutral images loomed increasingly larger for 6 or 7 repetitions. Participants were instructed to press a key at the end of this picture sequence, when the picture
background changed color (E). On gun trials a slow response resulted in a loss of $1; a fast response onmoney trials added $1 to the participant’s stake; all responses to neutral
cues were acknowledged without regard to latency. Money and gun pictures could also appear briefly in the neutral stream—singly or in a short looming sequence of three
images. For these brief presentations, there was no subsequent response cue ( L ¨w et al., 2008 ).
temporal, proximity/probability of reward or of a punishing loss.
In humans, these measures are held to reflect modulation of
three coincident anticipatory processes: heightened attention to
motivationally significant cues; mobilization of the body for
action, preparatory to avoiding a theft or achieving a reward;
and emotional arousal, evoked by the context of threat and
appetite.
1.2. Autonomic responses
As anticipated, skin conductance increased progressively during
both reward and punishment sequences. Its amplitude was already
somewhat heightened, compared to neutral cues, early in the
sequence when a final confrontation was still uncertain. Then, as
shown for the gun cue in Fig. 3 – but also seen for reward – it rose
dramatically during the final steps before the goal, when a fast
response would be required. Sweat gland activity is a well-known
indicator of general sympathetic activation (e.g., Wallin, 1981 ), and
associated with increased metabolism, visceral changes, and
modulation of sensory systems, as in pupil dilation (e.g., Janise,
1977 ). The other autonomic measure examined here, heart rate,
showed a modest initial increase (perhaps attributable to vagal
release); however, as a possible reward or the risk of loss became
more certain ( Fig. 3 ), heart rate decreased steadily in frequency to a
nadir on the penultimate approach cue. This deceleration was then
followed by an abrupt acceleration just prior to the final response
signal for escape or capture.
Fig. 3. Heart rate and skin conductance change from pre-stimulus baseline values
(samples every 2 s) for the last three looming pictures prior to the final gun
response signal ( L ¨w et al., 2008 ).
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441
In preparing to seize a reward or escape a punishment, the two
branches of the autonomic nervous system are co-active: The
increase in sweat gland activity indicates progressively augmented
sympathetic arousal; in contrast, heart rate is mainly under
parasympathetic control, and decreases progressively with closer
proximity to the goal. This latter phenomenon has been widely
noted in biological studies of prey animals confronting a predator
( Campbell et al., 1997 ), and is coincident with relative immobility
(freezing) and an increasingly focused vigilance. In the context of
predator approach, it is described as ‘‘fear bradycardia’’ (and for the
predator/prey task, the deceleration was predictably, somewhat
greater for the gun cue). Nevertheless, within the strike zone, of
course, there is anticipatory parasympathetic release and a
sympathetic increase in rate accompanies the final mobilization
for goal directed action. Interestingly, brief anticipatory increases in
rate can also be seen increasing over the immediately preceding
picture cues.
joy) directly to the underlying dynamic flow of behavior that
changes differently across different physiological systems as an
anticipated reward or fear of loss passes from the possible to the
imminent.
1.4. The brain in threat and reward
In addition to autonomic and somatic reflex measures, the
electroencephalogram was recorded throughout the predator–
prey simulation, and event-related potentials were assessed at
each stage along the approach/avoidance gradients. Fig. 5 shows
the electroencephalographic event-related potential (ERP)
responses to each motivational cue (i.e., gun or money), at their
first appearance in the continuing sequence of neutral pictures
(upper right panel). Emotional modulation of the ERP is essentially
the same as that found when pictures are presented for free
viewing (e.g. Cuthbert et al., 2000 ): A slow positive waveform is
apparent beginning around 300 ms and extending past 700 ms
that is reliably enhanced over centro-parietal sensors for emo-
tional pictures – either pleasant or unpleasant – that increases in
amplitude with increases in rated arousal. As illustrated in the left
panel, this late positive potential is dramatically enhanced for all
cues at the penultimate (presumably most activating) cue which
occurs just before a motor response is required.
Differences in the late positive potential for the looming gun
and money cues, compared to the neutral cue, are shown at the
bottom of Fig. 5 for each step in the looming sequence. It is of
interest that the initial heightened potential to motivational cues
shows some decrease early in the sequence, when the continuation
of the sequence is uncertain (1–3). Subsequently, however, the
amplitude of the late positive potential increases progressively,
peaking just before the cue that initiates action. Interestingly, the
late positive potential is significantly larger for the gun cues (threat
of loss) than for money (a possible gain) at this final stage,
consistent with Miller’s (1959) hypothesis that avoidance gradi-
ents are steeper than approach (relatively higher close to the goal,
cf. Cacioppo and Berntson, 1994 ), as well as with Kahneman and
Tversky’s (2000) view that motivation to avoid a loss is greater
than that to achieve a gain.
1.3. The probe startle reflex
In less complex animals, the startle response can be considered
an automatic escape reflex as with an abrupt movement overhead,
the sudden flight of a fly. Although this functional significance has
been lost in humans, it is clear that startle reflex amplitude is
modulated by at least two factors: Hedonic content (most clearly, a
potentiated response in unpleasant perception) and focused
attention (prompting relative reflex inhibition).
During the predator–prey simulation, startle reactions were
tested at various stages of the approach/avoidance sequence,
including when viewing the initial cue, midway through the
sequence, and just prior to the response cue. As illustrated in Fig. 4 ,
the initial exposure to motivational cues (i.e., a distant threat or
reward) yielded the pattern observed in many studies—significant
reflex potentiation when viewing the threat cue and a relative
inhibition for appetitive cues (e.g., Bradley et al., 2006; Lang et al.,
1990 ). However, as the distance to confrontation closed, reflex
magnitude is increasingly inhibited, reflecting effects of task-
focused attention and suppression of irrelevant action, facilitating
a final functional response to the motive cue. From this
perspective, fear potentiated startle appears to be a premature
action trigger, subsequently suppressed when the exigencies of a
more efficient survival response dominate.
The poetry of the predator–prey interaction can be described as
an orchestration of fear and desire. For a natural science of
emotion, however, it highlights the impossibility of marrying, in
the Jamesian sense, emotional language (fear, anxiety; longing,
2. The late positive potential and motivational relevance
The late positive potential evoked by picture stimuli is a reliable,
replicable index of their motivational relevance. Recording from
scalp electrodes and with the electroencephalograph (EEG) ampli-
fiers set for a long time constant (allowing one to see sustained brain
potentials), Cuthbert et al. (2000) observed an enhanced centro-
parietal positive signal that began around 300 ms after the onset of
anemotional picture andpersisted for almost the entire durationof a
6 s viewing interval (see Fig. 6 ). Its relationship to emotional arousal
was confirmed in a second study inwhichwe found that this positive
potential was most enhanced for the pictures rated highest in
emotional arousal, regardless of whether they depicted appetitive
(e.g., erotica) or aversive (e.g., mutilated bodies) hedonic contents
( Schupp et al., 2004 ). The amplitude of the late positive potential
(LPP) not only correlated highly with reports of rated emotional
arousal but also co-variedwith sympathetic arousal, asmeasured by
electrodermal response amplitude.
2.1. Complexity or arousal
To confirm that the late positive potential varies with motiva-
tional significance, rather thanwith other physical characteristics of
these relatively complex visual stimuli, we varied the perceptual
composition of emotional and neutral pictures and presented either
simple figure-ground compositions ormore complex scenes in a free
Fig. 4. Average magnitude of the startle probe reflex for money, gun, and neutral
cues over the looming sequence. Probes were presented 1100 ms after picture
onset during pictures 1 and 3 (‘‘maybe’’ stage) and during either picture 5 or
picture 6 (‘‘imminent’’ stage). Mean t scores and their standard errors are shown
( L ¨ w et al., 2008 ).
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