Energy Landscape
energy landscape
Prefrontal mechanisms involved in learning distractor-resistant working memory in a dual task
Working memory (WM) is a cognitive function that allows the short-term maintenance and manipulation of information when no longer accessible to the senses. It relies on temporarily storing stimulus features in the activity of neuronal populations. To preserve these dynamics from distraction it has been proposed that pre and post-distraction population activity decomposes into orthogonal subspaces. If orthogonalization is necessary to avoid WM distraction, it should emerge as performance in the task improves. We sought evidence of WM orthogonalization learning and the underlying mechanisms by analyzing calcium imaging data from the prelimbic (PrL) and anterior cingulate (ACC) cortices of mice as they learned to perform an olfactory dual task. The dual task combines an outer Delayed Paired-Association task (DPA) with an inner Go-NoGo task. We examined how neuronal activity reflected the process of protecting the DPA sample information against Go/NoGo distractors. As mice learned the task, we measured the overlap between the neural activity onto the low-dimensional subspaces that encode sample or distractor odors. Early in the training, pre-distraction activity overlapped with both sample and distractor subspaces. Later in the training, pre-distraction activity was strictly confined to the sample subspace, resulting in a more robust sample code. To gain mechanistic insight into how these low-dimensional WM representations evolve with learning we built a recurrent spiking network model of excitatory and inhibitory neurons with low-rank connections. The model links learning to (1) the orthogonalization of sample and distractor WM subspaces and (2) the orthogonalization of each subspace with irrelevant inputs. We validated (1) by measuring the angular distance between the sample and distractor subspaces through learning in the data. Prediction (2) was validated in PrL through the photoinhibition of ACC to PrL inputs, which induced early-training neural dynamics in well-trained animals. In the model, learning drives the network from a double-well attractor toward a more continuous ring attractor regime. We tested signatures for this dynamical evolution in the experimental data by estimating the energy landscape of the dynamics on a one-dimensional ring. In sum, our study defines network dynamics underlying the process of learning to shield WM representations from distracting tasks.
Sleepless in Vienna - how to rescue folding-deficient dopamine transporters by pharmacochaperoning
Diseases that arise from misfolding of an individual protein are rare. However, collectively, these folding diseases represent a large proportion of hereditary and acquired disorders. In fact, the term "Molecular Medicine" was coined by Linus Pauling in conjunction with the study of a folding disease, i.e. sickle cell anemia. In the past decade, we have witnessed an exponential growth in the number of mutations, which have been identified in genes encoding solute carriers (SLC). A sizable faction - presumably the majority - of these mutations result in misfolding of the encoded protein. While studying the export of the GABA transporter (SLC6A1) and of the serotonin transporter (SLC6A4), from the endoplasmic reticulum (ER), we discovered by serendipity that some ligands can correct the folding defect imparted by point mutations. These bind to the inward facing state. The most effective compound is noribogaine, the metabolite of ibogaine (an alkaloid first isolated from the shrub Tabernanthe iboga). There are 13 mutations in the human dopamine transporter (DAT, SLC6A3), which give rise to a syndrome of infantile Parkinsonism and dystonia. We capitalized on our insights to explore, if the disease-relevant mutant proteins were amenable to pharmacological correction. Drosopohila melanogaster, which lack the dopamine transporter, are hyperactive and sleepless (fumin in Japanese). Thus, mutated human DAT variants can be introduced into fumin flies. This allows for examining the effect of pharmacochaperones on delivery of DAT to the axonal territory and on restoring sleep. We explored the chemical space populated by variations of the ibogaine structure to identify an analogue (referred to as compound 9b), which was highly effective: compound 9b also restored folding in DAT variants, which were not amenable to rescue by noribogaine. Deficiencies in the human creatine transporter-1 (CrT1, SLC6A8) give rise to a syndrome of intellectual disability and seizures and accounts for 5% of genetically based intellectual disabilities in boys. Point mutations occur, in part, at positions, which are homologous to those of folding-deficient DAT variants. CrT1 lacks the rich pharmacology of monoamine transporters. Nevertheless, our insights are also applicable to rescuing some disease-related variants of CrT1. Finally, the question arises how one can address the folding problem. We propose a two-pronged approach: (i) analyzing the effect of mutations on the transport cycle by electrophysiological recordings; this allows for extracting information on the rates of conformational transitions. The underlying assumption posits that - even when remedied by pharmacochaperoning - folding-deficient mutants must differ in the conformational transitions associated with the transport cycle. (ii) analyzing the effect of mutations on the two components of protein stability, i.e. thermodynamic and kinetic stability. This is expected to provide a glimpse of the energy landscape, which governs the folding trajectory.
Energy landscapes, order and disorder, and protein sequence coevolution: From proteins to chromosome structure
In vivo, the human genome folds into a characteristic ensemble of 3D structures. The mechanism driving the folding process remains unknown. A theoretical model for chromatin (the minimal chromatin model) explains the folding of interphase chromosomes and generates chromosome conformations consistent with experimental data is presented. The energy landscape of the model was derived by using the maximum entropy principle and relies on two experimentally derived inputs: a classification of loci into chromatin types and a catalog of the positions of chromatin loops. This model was generalized by utilizing a neural network to infer these chromatin types using epigenetic marks present at a locus, as assayed by ChIP-Seq. The ensemble of structures resulting from these simulations completely agree with HI-C data and exhibits unknotted chromosomes, phase separation of chromatin types, and a tendency for open chromatin to lie at the periphery of chromosome territories. Although this theoretical methodology was trained in one cell line, the human GM12878 lymphoblastoid cells, it has successfully predicted the structural ensembles of multiple human cell lines. Finally, going beyond Hi-C, our predicted structures are also consistent with microscopy measurements. Analysis of both structures from simulation and microscopy reveals that short segments of chromatin make two-state transitions between closed conformations and open dumbbell conformations. For gene active segments, the vast majority of genes appear clustered in the linker region of the chromatin segment, allowing us to speculate possible mechanisms by which chromatin structure and dynamics may be involved in controlling gene expression. * Supported by the NSF
Bend, slip, or break?
Rigidity is the ability of a system to resist imposed stresses before ultimately undergoing failure. However, disordered materials often contain both rigid and floppy subregions that complicate the utility of taking system-wide averages. I will talk about 3 frameworks capable of connecting the internal structure of disordered materials to their rigidity and/or failure under loading, and describe how my collaborators and I have applied these frameworks to laboratory data on laser-cut lattices and idealized granular materials. These are, in order of increasing physics content: (1) centrality within an adjacency matrix describing its connectivity, (2) Maxwell constraint counting on the full network of frictional contact forces, and (3) the vibrational modes of a synthetic dynamical matrix (Hessian). The first two rely primarily on topology, and the second two contrast the utility of considering interparticle forces (Coulomb failure) vs. the energy landscape. All three methods, while successfully elucidating the origins of rigidity and brittle vs. ductile failure, also provide interesting counterpoints regarding how much information is enough to make predictions.
“Unraveling Protein's Structural Dynamics: from Configurational Dynamics to Ensemble Switching Guides Functional Mesoscale Assemblies”
Evidence regarding protein structure and function manifest the imperative role that dynamics play in proteins, underlining reconsideration of the unanimated sequence-to-structure-to-function paradigm. Structural dynamics portray a heterogeneous energy landscape described by conformational ensembles where each structural representation can be responsible for unique functions or enable macromolecular assemblies. Using the human p27/Cdk2/Cyclin A ternary complex as an example, we highlight the vital role of intra- and intermolecular dynamics for target recognition, binding, and inhibition as a critical modulator of cell division. Rapidly sampling configurations is critical for the population of different conformational ensembles encoding functional roles. To garner this knowledge, we present how the integration of (sub)ensemble and single-molecule fluorescence spectroscopy with molecular dynamic simulations can characterize structural dynamics linking the heterogeneous ensembles to function. The incorporation of dynamics into the sequence-to-structure-to-function paradigm promises to assist in tackling various challenges, including understanding the formation and regulation of mesoscale assemblies inside cells.
Noradrenergic Modulation of Whole Brain Energy Landscape Mediates Perceptual Switches
COSYNE 2023