Youcef Bouchekioua

Desert ants and foraging rodents return home along surprisingly direct paths after meandering outward journeys. Traditional path integration models explain this through cumulative vector addition, yet struggle to account for the neurobiological mechanisms underlying this computation. Here we show that animal navigation emerges naturally when trajectories are represented in complex number space. We propose that head direction (HD) cells provide allocentric reference frame rotations, bilateral brainstem neurons (Chx10) control motion magnitudes within each frame, and left–right alternating theta sweeps in entorhinal–hippocampal maps continuously sample these bilateral activation states. Frame rotations at directional changes map to multiplication by unit complex numbers, converting egocentric motor commands into allocentric position tracking. This framework offers a neurobiologically grounded mathematics of navigation.

Pavlovian conditioning is widely used to study the substrates of learning and memory in the mammalian brain. In a standard protocol, subjects are exposed to pairings of a conditioned stimulus (CS; e.g., a tone) with an unconditioned stimulus (US; e.g., an electric shock). Subsequent presentations of the CS elicit a range of behaviors that relate to the US (e.g., freezing) showing that animals learned the CS-US relation. However, it is still unclear how neuronal activity pertaining to the CS comes to excite a representation of the US, and thereby, conditioned responses. The current analysis of this problem, based on neurophysiological evidence, views Pavlovian conditioning as a process of facilitating the disinhibition, rather than the excitation, of neuronal responses representing the US. Conversely, Pavlovian extinction is viewed as a process of relearning to inhibit neuronal responses representing the US. We propose a mathematical equation that confirms the predictions made by this novel perspective on Pavlovian conditioning when applied to conditioning phenomena that fall beyond classic associative learning theories.

Appropriate processing of reward and aversive information is essential for survival. Although a critical role of serotonergic neurons in the dorsal raphe nucleus (DRN) in reward processing has been shown, the lack of rewarding effects with selective serotonin reuptake inhibitors (SSRIs) implies the presence of a discrete serotonergic system playing an opposite role to the DRN in the processing of reward and aversive stimuli. Here, we demonstrated that serotonergic neurons in the median raphe nucleus (MRN) of mice process reward and aversive information in opposite directions to DRN serotonergic neurons. We further identified MRN serotonergic neurons, including those projecting to the interpeduncular nucleus (5-HT^MRN→IPN), as a key mediator of reward and aversive stimuli. Moreover, 5-HT receptors, including 5-HT_2A receptors in the interpeduncular nucleus, are involved in the aversive properties of MRN serotonergic neural activity. Our findings revealed an essential function of MRN serotonergic neurons, including 5-HT^MRN→IPN, in the processing of reward and aversive stimuli.

Pavlovian fear conditioning is a widely used procedure to assess learning and memory processes that has also been extensively used as a model of post-traumatic stress disorder (PTSD). Freezing, the absence of movement except for respiratory-related movements, is commonly used as a measure of fear response in non-human animals. However, this measure of fear responses can be affected by a different baseline of locomotor activity between groups and/or conditions. Moreover, fear conditioning procedures are usually restricted to a single conditioned stimulus (e.g., a tone cue, the context, etc.) and thus do not depict the complexity of real-life situations where traumatic memories are composed of a complex set of stimuli associated with the same aversive event. To overcome this issue, we use a conditioned lick suppression paradigm where water-deprived mice are presented with a single conditioned stimulus (CS, a tone cue or the context) previously paired with an unconditioned stimulus (US, a foot shock) while consuming water. We use the ratio of number of licks before and during the CS presentation as a fear measure, thereby neutralizing the potential effect of locomotor activity in fear responses. We further implemented the conditioned lick suppression ratio to assess the effect of cue competition using a compound of contextual and tone cue conditioned stimuli that were extinguished separately. This paradigm should prove useful in assessing potential therapeutics and/or behavioral therapies in PTSD, while neutralizing potential confounding effects between locomotor activity and fear responses on one side, and by considering potential cue-competition effects on the other side.

Previous findings have proposed that drugs targeting 5-HT_2C receptors could be promising candidates in the treatment of trauma- and stress-related disorders. However, the reduction of conditioned freezing observed in 5-HT_2C receptor knock-out (KO) mice in previous studies could alternatively be accounted for by increased locomotor activity. To neutralize the confound of individual differences in locomotor activity, we measured a ratio of fear responses during versus before the presentation of a conditioned stimulus previously paired with a footshock (as a fear measure) by utilizing a conditioned licking suppression paradigm. We first confirmed that 5-HT_2C receptor gene KO attenuated fear responses to distinct types of single conditioned stimuli (context or tone) independently of locomotor activity. We then assessed the effects of 5-HT_2C receptor gene KO on compound fear responses by examining mice that were jointly conditioned to a context and a tone and later re-exposed separately to each. We found that separate re-exposure to individual components of a complex fear memory (i.e., context and tone) failed to elicit contextual fear extinction in both 5-HT_2C receptor gene KO and wild-type mice, and also abolished differences between genotypes in tone-cued fear extinction. This study delineates a previously overlooked role of 5-HT_2C receptors in conditioned fear responses, and invites caution in the future assessment of molecular targets and candidate therapies for the treatment of PTSD.

Spatial learning and memory, the processes through which a wide range of living organisms encode, compute, and retrieve information from their environment to perform goal-directed navigation, has been systematically investigated since the early twentieth century to unravel behavioral and neural mechanisms of learning and memory. Early theories about learning to navigate space considered that animals learn through trial and error and develop responses to stimuli that guide them to a goal place. According to a trial-and error learning view, organisms can learn a sequence of motor actions that lead to a goal place, a strategy referred to as response learning, which contrasts with place learning where animals learn locations with respect to an allocentric framework. Place learning has been proposed to produce a mental representation of the environment and the cartesian relations between stimuli within it—which Tolman coined the cognitive map. We propose to revisit some of the best empirical evidence of spatial inference in animals, and then discuss recent attempts to account for spatial inferences within an associative framework as opposed to the traditional cognitive map framework. We will first show how higher-order conditioning can successfully account for inferential goal-directed navigation in a variety of situations and then how vectors derived from path integration can be integrated via higher-order conditioning, resulting in the generation of higher-order vectors that explain novel route taking. Finally, implications to cognitive map theories will be discussed.

The cognitive map has been taken as the standard model for how agents infer the most efficient route to a goal location. Alternatively, path integration – maintaining a homing vector during navigation – constitutes a primitive and presumably less‐flexible strategy than cognitive mapping because path integration relies primarily on vestibular stimuli and pace counting. The historical debate as to whether complex spatial navigation is ruled by associative learning or cognitive map mechanisms has been challenged by experimental difficulties in successfully neutralizing path integration. To our knowledge, there are only three studies that have succeeded in resolving this issue, all showing clear evidence of novel route taking, a behaviour outside the scope of traditional associative learning accounts. Nevertheless, there is no mechanistic explanation as to how animals perform novel route taking. We propose here a new model of spatial learning that combines path integration with higher‐order associative learning, and demonstrate how it can account for novel route taking without a cognitive map, thus resolving this long‐standing debate. We show how our higher‐order path integration (HOPI) model can explain spatial inferences, such as novel detours and shortcuts. Our analysis suggests that a phylogenetically ancient, vector‐based navigational strategy utilizing associative processes is powerful enough to support complex spatial inferences.