A dynamical systems approach to synaptic consolidation and associations of concepts in hippocampus

In the present work, we approach two key aspects of memory formation: associative memory and synaptic consolidation. The storage of associative memory is commonly related to the medial temporal lobe in humans. Experimental evidence shows that the memories of objects, people or places are represented in this brain area by cell assemblies that respond selectively to single concepts. Neurons forming such assemblies are called concept cells. Associations between different concepts are linked to concept cells shared between assemblies: we refer to the number of shared neurons as the overlap between memory engrams. The respective assemblies of two associated concepts (e.g. Hillary and Bill Clinton) share more neurons compared to the assemblies of two unrelated concepts (e.g. Hillary Clinton and the Eiffel tower). In particular, three characteristics of assemblies of concept cells are important for this work: (a) they exhibit a very low mean activity (about 0.2% of neurons respond to each concept), (b) overlapping assemblies share about 4% of their cells, (c) non-overlapping assemblies share less then 1% of their cells. This implies that the association between two concepts induces a higher level of overlap between the relative memory engrams. In parallel, theoretical studies have shown that overlaps between memory engrams are fundamental in the process of free recall of sequences of words. These models assume that memory engrams have such a high mean activity that all assemblies are overlapping to a certain extent. Associative memory is traditionally modeled through attractor neural networks. Memory engrams are represented by binary patterns of active/silent neurons. While there is extensive literature on independent low-activity patterns, only a few studies can be found on correlated patterns. Extending the existing theory to include correlation is a key missing point to answer questions such as: How do shared neurons encode association? Why are 4% of neurons shared and not more? Using a mean-field approximation, we derive analytic equations for the network dynamics in the case of correlated patterns. Our results provide a theoretical framework that can explain the experimentally observed value of shared neurons. We find that for concepts represented by realistically sparse neural assemblies there are a minimal and a maximal fraction of shared neurons so that associations can be reliably coded. In the presence of a periodically modulated signal, such as hippocampal oscillations, chains of associations can be recalled analogously to theories of free recall of lists of memorized words. Finally, we compare the predicted number of concepts a neuron responds to with experimental data. We test different ways of constructing correlated patterns and confirmed the common opinion that information in the hippocampus is non-hierarchically organised. In the second part of the thesis, we propose a model of synaptic consolidation based on two coupled dynamical variables: the fast synaptic weights and a slow internal synaptic mechanism. In classical experiments, the consolidation of the synapse is related to the stimulation frequency and number of repetitions. We show that it is exactly the time scale separation between the dynamics of the two variables that determines which combination of stimulation amplitude and frequency are suitable to elicit synaptic consolidation.

How single neuron properties shape chaotic dynamics and signal transmission in random neural networks

Wulfram Gerstner, Samuel Pavio Muscinelli, Tilo Schwalger

While most models of randomly connected neural networks assume single-neuron models with simple dynamics, neurons in the brain exhibit complex intrinsic dynamics over multiple timescales. We analyze how the dynamical properties of single neurons and recurrent connections interact to shape the effective dynamics in large randomly connected networks. A novel dynamical mean-field theory for strongly connected networks of multi-dimensional rate neurons shows that the power spectrum of the network activity in the chaotic phase emerges from a nonlinear sharpening of the frequency response function of single neurons. For the case of two-dimensional rate neurons with strong adaptation, we find that the network exhibits a state of resonant chaos, characterized by robust, narrow-band stochastic oscillations. The coherence of stochastic oscillations is maximal at the onset of chaos and their correlation time scales with the adaptation timescale of single units. Surprisingly, the resonance frequency can be predicted from the properties of isolated neurons, even in the presence of heterogeneity in the adaptation parameters. In the presence of these internally-generated chaotic fluctuations, the transmission of weak, low-frequency signals is strongly enhanced by adaptation, whereas signal transmission is not influenced by adaptation in the non-chaotic regime. Our theoretical framework can be applied to other mechanisms at the level of single neurons, such as synaptic filtering, refractoriness or spike synchronization. These results advance our understanding of the interaction between the dynamics of single units and recurrent connectivity, which is a fundamental step toward the description of biologically realistic neural networks. Author summary Biological neural networks are formed by a large number of neurons whose interactions can be extremely complex. Such systems have been successfully studied using random network models, in which the interactions among neurons are assumed to be random. However, the dynamics of single units are usually described using over-simplified models, which might not capture several salient features of real neurons. Here, we show how accounting for richer single-neuron dynamics results in shaping the network dynamics and determines which signals are better transmitted. We focus on adaptation, an important mechanism present in biological neurons that consists in the decrease of their firing rate in response to a sustained stimulus. Our mean-field approach reveals that the presence of adaptation shifts the network into a previously unreported dynamical regime, that we term resonant chaos, in which chaotic activity has a strong oscillatory component. Moreover, we show that this regime is advantageous for the transmission of low-frequency signals. Our work bridges the microscopic dynamics (single neurons) to the macroscopic dynamics (network), and shows how the global signal-transmission properties of the network can be controlled by acting on the single-neuron dynamics. These results paves the way for further developments that include more complex neural mechanisms, and considerably advance our understanding of realistic neural networks.

2019

Elucidating the role of neuron-astrocyte metabolic coupling in learning and memory

Monika Tadi

The brain has very high energy demands that are mainly met by the circulating blood glucose to ensure its proper functioning. Thus, it is not surprising that though the human brain weighs only 2- 3% of the body weight, it consumes approximately 25% of total body glucose. “Neuro-energetic coupling" is a unique feature of the brain and refers to the existence of the tight coupling between (neuronal) synaptic brain activity and energy metabolism. The main excitatory neurotransmitter in the brain is glutamate and most of the energy requirements at the cortical level are met through glutamate-mediated neurotransmission, suggesting that there is a close relationship between brain activity, glutamatergic neurotransmission and energy metabolism. Until the 80s, blood-borne glucose was thought to be the sole energy substrate of the brain cells and it was assumed that glucose is metabolized by neurons and astrocytes (a type of glial cell) independently. It is only during the last two decades that the concept of compartmentalization of energy metabolism between neurons and astrocytes has become more obvious. The transfer of lactate from astrocytes to neurons termed as the “astrocyte-neuron lactate shuttle (ANLS)” model proposed by Dr. Pellerin and Prof. Magistretti posits that glutamate released during brain activation activates glycolysis (one of glucose metabolic pathways) in astrocytes leading to lactate (a monocarboxylate) release in the extracellular space, and this astrocytic lactate is then captured and used as an energy substrate by the activated neurons to meet their energy requirements. It includes a complex chain of events involved in neuro-metabolic coupling and supports the preferential use of lactate by activated neurons under conditions of increased energy demands. Higher brain functions such as learning a new task are associated with structural changes in brain and are metabolically demanding necessitating the need of an additional energy supply to meet the neurons increased energy requirement. In this context, the current thesis project aimed to elucidate the contribution of metabolic coupling between astrocytes and neurons, known as “neuron-astrocyte metabolic coupling” to learning and memory formation. Using an in vivo approach combined with behavioral, molecular and gene manipulation techniques in mice, we set out to investigate the role of neuron-astrocyte metabolic coupling, particularly ANLS in cognition. The project was divided into two main parts: In the first part, the expression of glucose metabolism-related genes was investigated during long term memory (LTM) formation in fear-motivated inhibitory avoidance (IA) learning paradigm. Using (14C) 2-Deoxyglucose (2-DG) technique, we first defined the brain areas that are involved in IA LTM formation. This technique provides an indirect measurement of brain activity by measuring glucose uptake in different brain areas during the task. The results of brain metabolic mapping show an increase in glucose utilization in the hippocampus, amygdala, anterior cingulate cortex and pre-limbic and infra-limbic cortical areas. Results from the quantitative analysis of mRNA levels in the dorsal hippocampus at different time point’s following IA task highlight a time dependent, learning specific change in the expression of genes related to glucose metabolism. Specific set of genes involved in the synthesis and degradation of glycogen (brain glucose reserve present only in astrocytes), pyruvate metabolism and pentose phosphate shunt as well as the ANLS were induced following the IA task. These early observations indicate that the metabolic interactions between astrocytes and neurons undergo modifications during a learning process and suggest that these adaptations may play a key role in the establishment of long-term memory. In the second part of research project, we focused on investigating the behavioral consequences of down regulating the expression of Monocarboxylate Transporter 1 (MCT1), a key ANLS related gene, on cognition and higher brain functions. Mice heterozygous for the MCT1 gene (MCT1+/-) were characterized in numerous behavioral paradigms such as general wellbeing, reflexive and motor capabilities. After having established that MCT1+/- mice have no alterations in general emotional state or in locomotion, a battery of behavioral tests was performed to study cognition in these mice. Compared with wild-type control mice, the MCT1+/- mice display normal muscle strength and motor coordination. However, when tested for higher brain functions, the MCT1+/- mice exhibit learning and memory deficits in several learning paradigms/tasks that are hippocampus and / or amygdala dependent. The cognitive impairment observed in the MCT1 heterozygous mice further highlights the importance of ANLS in memory and suggest that disruption of lactate transfer from astrocytes to neurons via the MCT1 results in cognitive impairment. The overall results in this thesis demonstrate that cerebral energy metabolism, and in particular the transfer of lactate from astrocytes to neurons not only provides temporal adaptations in the learning process, but it also plays a fundamental role in memory formation.

EPFL2013

Memory formation and recall in recurrent spiking neural networks

Friedemann Zenke

Our brain has the capacity to analyze a visual scene in a split second, to learn how to play an instrument, and to remember events, faces and concepts. Neurons underlie all of these diverse functions. Neurons, cells within the brain that generate and transmit electrical activity, communicate with each other through chemical synapses. These synaptic connections dynamically change with experience, a process referred to as synaptic plasticity, which is thought to be at the core of the brain's ability to learn and process the world in sophisticated ways. Our understanding of the rules of synaptic plasticity remains quite limited. To enable efficient computations among neurons or to serve as a trace of memory, synapses must create stable connectivity patterns between neurons. However there remains an insufficient theoretical explanation as to how stable connectivity patterns can form in the presence of synaptic plasticity. Since the dynamics of recurrently connected neurons depend upon their connections, which themselves change in response to the network dynamics, synaptic plasticity and network dynamics have to be treated as a compound system. Due to the nonlinear nature of the system this can be analytically challenging. Utilizing network simulations that model the interplay between the network connectivity and synaptic plasticity can provide valuable insights. However, many existing network models that implement biologically relevant forms of plasticity become unstable. This suggests that current models do not accurately describe the biological networks, which have no difficulty functioning without succumbing to exploding network activity. The instability in these network simulations could originate from the fact that theoretical studies have, almost exclusively, focused on Hebbian plasticity at excitatory synapses. Hebbian plasticity causes connected neurons that are active together to increase the connection strength between them. Biological networks, however, display a large variety of different forms of synaptic plasticity and homeostatic mechanisms, beyond Hebbian plasticity. Furthermore, inhibitory cells can undergo synaptic plasticity as well. These diverse forms of plasticity are active at the same time, and our understanding of the computational role of most of these synaptic dynamics remains elusive. This raises the important question as to whether forms of plasticity that have not been previously considered could -in combination with Hebbian plasticity- lead to stable network dynamics. Here we illustrate that by combining multiple forms of plasticity with distinct roles, a recurrently connected spiking network model self-organizes to distinguish and extract multiple overlapping external stimuli. Moreover we show that the acquired network structures remain stable over hours while plasticity is active. This long-term stability allows the network to function as an associative memory and to correctly classify distorted or partially cued stimuli. During intervals in which no stimulus is shown the network dynamically remembers the last stimulus as selective delay activity. Taken together this work suggest that multiple forms of plasticity and homeostasis on different timescales have to work together to create stable connectivity patterns in neuronal networks which enable them to perform relevant computation.

EPFL2014