Distinct neuronal circuits underlying the bahavioral and physiological components of the fear response

Abstract : Expression of fear involves changes in a number of behavioral and physiological parameters that are triggered by the central amygdala (CeA). The fear circuit also includes a series of brain stem nuclei that are the final effectors of the changes induced by the fear reaction. The CeA expresses many different neuropeptide receptors that can modulate fear responses. Today, the precise organization and the modulation of projections from the amygdala to the brain stem are still poorly understood. The aim of this project was to better understand the organization and the modulation of the fear circuit. To investigate this we first determined whether the CeA is composed of separate neuronal populations, where each one projects to specific brain stem nuclei, or whether single CeA neurons project to several nuclei. For this purpose, we first selected two brain stem nuclei implicated in the modulation of different components of the fear reactions, the periaqueductal gray (implicated in freezing) and the nucleus of solitary tract (implicated in heart rate modulation). We then performed double injections of two different retrograde tracers in these two nuclei and we quantified the subsequent presence of co-labelling in the CeA. We found that neurons projecting to the PAG and to the NTS are organized in separate populations. Subsequent electrophysiological recordings of the two populations revealed that PAG and NTS projecting neurons also have different electrophysiological characteristics. We then verified in vitro whether the neurons projecting to different brain stem nuclei express specific combinations of neuropeptide receptors, and whether a neuropeptide acting pre-synaptically (oxytocin) specifically modulates one of these two projections. We did not find differences at the level of expression of neurópeptide receptors, but we observed that oxytocin, a neuropeptide with anxiolytic properties, modulates PAG projecting neurons without affecting NTS projecting neurons. As oxytocin appeared to specifically modulate projections to the PAG, involved in the modulation of the freezing reaction, but did not affect the projections to the NTS, implicated in the modulation of cardiovascular parameters, we verified how this modulation translates in living animals. We investigated the effects of infra-amygdala injection of oxytocin on cardiovascular and behavioral changes induced by contextual fear conditioning. We found that oxytocin decreased the freezing response without affecting the cardiovascular system. Finally, as neuropeptides are considered potential future anxiolytics, we investigated whether diazepam and oxytocin, acting on the same circuit, had additive effects. This question was addressed exclusively with an in vitro electrophysiological approach. We obtained that oxytocin and diazepam, when co-applied, had an additive effect on both synaptic transmission and neuronal activity. These results open new perspectives for the possible clinical applications of oxytocin. Résumé : L'expression de la peur est accompagnée par de nombreux changements physiologiques et comportementaux qui sont déclenchés par l'amygdale centrale (CeA). Le circuit inclue aussi une série de noyaux du tronc cérébrale qui sont les effecteurs des différentes composantes de la réaction de peur. On sait que CeA envoie des projections aux noyaux du tronc cérébral et que ces neurones expriment une grande variété de récepteurs aux neuropeptides. Par contre, l'organisation des projections, ainsi que la modulation de ces projections par les neuropeptides reste encore peu connue. Avec ce projet, on premièrement voulu déterminer si CeA est composée de populations neuronales séparées qui projettent vers un noyau spécifique, ou bien si chaque neurones envoie des projections vers plusieurs noyaux. A ce propos, on a effectué des doubles injections de deux traceurs rétrogrades différentes dans deux noyaux du tronc cérébral impliqués dans des différentes composantes des réactions de peur. On a injecté la substance grise périaqueducale (PAG), qui est impliquée dans la réponse d'immobilisation, ainsi que le noyau du tractus solitaire (NTS) qui est responsable des changements cardiovasculaires. On a ensuite quantifié la présence de neurones contenant les deux traceurs dans CeA. On a trouvé que la plupart des neurones de l'amygdale centrale projettent vers un noyau spécifique, et on peut donc dire que l'amygdale semble être composée de populations neuronales séparées. On a ensuite mesuré les caractéristiques électrophysiologiques de ces deux projections et on a trouvé des différences substantielles concernant la résistance membranaire, la capacitance, le potentiel membranaire de repos ainsi que la fréquence des potentiels d'action spontanés. Puis, comme beaucoup de neuropéptides dans l'amygdale exercent un effet modulatoire sûr les réactions de peur et sur l'anxiété, on a étudié les effets directs et indirects d'une série de neuropeptides sur les différentes projections pour évaluer s'il y a des neuropeptides qui agissent spécifiquement sur une. On n'a pas trouvé de différences entre neurones qui projettent vers le PAG et neurones qui projettent vers le NTS concernant les effets de neuropeptides qui agissent directement sur ces cellules. Par contre, on a trouvé que l'ocytocine, un neuropeptide qui se lie à des récepteurs dans la partie latérale de l'amygdale centrale et inhibe de façon indirecte les neurones de l'amygdala centrale médiale, module les projections vers le PAG sans affecter celles qui vont vers le NTS. Comme le PAG est impliqué dans la réponse d'immobilisation, alors que le NTS est impliqué dans la modulation cardiovasculaire, on a ensuite étudié les effets de l'ocytocine injectée dans l'amygdale de rat vivants sur les réactions de peur conditionnées. On a trouvé que l'ocytocine diminue la réponse d'immobilisation sans par contre affecter la réponse cardiovasculaire. Pour terminer, on a vérifié si l'ocytocine potentialise les effets d'un médicament anxiolytique, le diazeparn. Avec une étude in vitro on a trouvé qu'une co-application d'ocytocine et diazeparn résulte en un effet additionnel à la fois sur la transmission synaptique ainsi que sur l'activité neuronale des neurones de l'amygdale centrale médiale. Ces résultats ouvrent des nouvelles perspectives pour une potentielle utilisation clinique de l'ocytocine.

Several neuronal and axonal types form long intrinsic connections in the cat primary auditory cortical field (AI).

Intrinsic connections in the cat primary auditory field (AI) as revealed by injections of Phaseolus vulgaris leucoagglutinin (PHA-L) or biocytin, had an anisotropic and patchy distribution. Neurons, labelled retrogradely with PHA-L were concentrated along a dorsoventral stripe through the injection site and rostral to it; the spread of rostrally located neurons was greater after injections into regions of low rather than high characteristic frequencies. The intensity of retrograde labelling varied from weak and granular to very strong and Golgi-like. Out of 313 Golgi like retrogradely labelled neurons 79.6% were pyramidal, 17.2% multipolar, 2.6% bipolar, and 0.6% bitufted; 13.4% were putatively inhibitory, i.e. aspiny or sparsely spiny multipolar, or bitufted. Individual anterogradely labelled intrinsic axons were reconstructed for distances of 2 to 7 mm. Five main types were distinguished on the basis of the branching pattern and the location of synaptic specialisations. Type 1 axons travelled horizontally within layers II to VI and sent collaterals at regular intervals; boutons were only present in the terminal arborizations of these collaterals. Type 2 axons also travelled horizontally within layers II to VI and had rather short and thin collateral branches; boutons or spine-like protrusions occurred in most parts of the axon. Type 3 axons travelled obliquely through the cortex and formed a single terminal arborization, the only site where boutons were found. Type 4 axons travelled for some distance in layer I; they formed a heterogeneous group as to their collaterals and synaptic specializations. Type 5 axons travelled at the interface between layer VI and the white matter; boutons en passant, spine-like protrusions, and thin short branches with boutons en passant were frequent all along their trajectory. Thus, only some axonal types sustain the patchy pattern of intrinsic connectivity, whereas others are involved in a more diffuse connectivity.

The mapping of the local contributions of Fermi and Coulomb correlation into intracule and extracule density distributions

The contributions of the correlated and uncorrelated components of the electron-pair density to atomic and molecular intracule I(r) and extracule E(R) densities and its Laplacian functions ∇2I(r) and ∇2E(R) are analyzed at the Hartree-Fock (HF) and configuration interaction (CI) levels of theory. The topologies of the uncorrelated components of these functions can be rationalized in terms of the corresponding one-electron densities. In contrast, by analyzing the correlated components of I(r) and E(R), namely, IC(r) and EC(R), the effect of electron Fermi and Coulomb correlation can be assessed at the HF and CI levels of theory. Moreover, the contribution of Coulomb correlation can be isolated by means of difference maps between IC(r) and EC(R) distributions calculated at the two levels of theory. As application examples, the He, Ne, and Ar atomic series, the C2-2, N2, O2+2 molecular series, and the C2H4 molecule have been investigated. For these atoms and molecules, it is found that Fermi correlation accounts for the main characteristics of IC(r) and EC(R), with Coulomb correlation increasing slightly the locality of these functions at the CI level of theory. Furthermore, IC(r), EC(R), and the associated Laplacian functions, reveal the short-ranged nature and high isotropy of Fermi and Coulomb correlation in atoms and molecules

The relevance of the Laplacian of intracule and extracule density distributions for analyzing electron-electron interactions in molecules

A topological analysis of intracule and extracule densities and their Laplacians computed within the Hartree-Fock approximation is presented. The analysis of the density distributions reveals that among all possible electron-electron interactions in atoms and between atoms in molecules only very few are located rigorously as local maxima. In contrast, they are clearly identified as local minima in the topology of Laplacian maps. The conceptually different interpretation of intracule and extracule maps is also discussed in detail. An application example to the C2H2, C2H4, and C2H6 series of molecules is presented

Nuclear magnetic resonance chemical shifts with the statistical average of orbital-dependent model potentials in Kohn-Sham density functional theory

The performance of the SAOP potential for the calculation of NMR chemical shifts was evaluated. SAOP results show considerable improvement with respect to previous potentials, like VWN or BP86, at least for the carbon, nitrogen, oxygen, and fluorine chemical shifts. Furthermore, a few NMR calculations carried out on third period atoms (S, P, and Cl) improved when using the SAOP potential

Effect of basis set superposition error on the electron density of molecular complexes

The effect of basis set superposition error (BSSE) on molecular complexes is analyzed. The BSSE causes artificial delocalizations which modify the first order electron density. The mechanism of this effect is assessed for the hydrogen fluoride dimer with several basis sets. The BSSE-corrected first-order electron density is obtained using the chemical Hamiltonian approach versions of the Roothaan and Kohn-Sham equations. The corrected densities are compared to uncorrected densities based on the charge density critical points. Contour difference maps between BSSE-corrected and uncorrected densities on the molecular plane are also plotted to gain insight into the effects of BSSE correction on the electron density

A quantum molecular similarity analysis of changes in molecular electron density caused by basis set flotation and electric field application

Quantum molecular similarity (QMS) techniques are used to assess the response of the electron density of various small molecules to application of a static, uniform electric field. Likewise, QMS is used to analyze the changes in electron density generated by the process of floating a basis set. The results obtained show an interrelation between the floating process, the optimum geometry, and the presence of an external field. Cases involving the Le Chatelier principle are discussed, and an insight on the changes of bond critical point properties, self-similarity values and density differences is performed

A comparative analysis by means of quantum molecular similarity measures of density distributions derived from conventional ab initio and density functional methods

A procedure based on quantum molecular similarity measures (QMSM) has been used to compare electron densities obtained from conventional ab initio and density functional methodologies at their respective optimized geometries. This method has been applied to a series of small molecules which have experimentally known properties and molecular bonds of diverse degrees of ionicity and covalency. Results show that in most cases the electron densities obtained from density functional methodologies are of a similar quality than post-Hartree-Fock generalized densities. For molecules where Hartree-Fock methodology yields erroneous results, the density functional methodology is shown to yield usually more accurate densities than those provided by the second order Møller-Plesset perturbation theory

A new all-round density functional based on spin states and SN2 barriers

We report here a new empirical density functional that is constructed based on the performance of OPBE and PBE for spin states and SN 2 reaction barriers and how these are affected by different regions of the reduced gradient expansion. In a previous study [Swart, Sol̀, and Bickelhaupt, J. Comput. Methods Sci. Eng. 9, 69 (2009)] we already reported how, by switching between OPBE and PBE, one could obtain both the good performance of OPBE for spin states and reaction barriers and that of PBE for weak interactions within one and the same (SSB-sw) functional. Here we fine tuned this functional and include a portion of the KT functional and Grimme's dispersion correction to account for π- π stacking. Our new SSB-D functional is found to be a clear improvement and functions very well for biological applications (hydrogen bonding, π -π stacking, spin-state splittings, accuracy of geometries, reaction barriers)

Exploring chromium (VI) dioxodihalides chemistry: is density functional theory the most suitable tool?

A comparative systematic study of the CrO2F2 compound has been performed using different conventional ab initio methodologies and density functional procedures. Two points have been analyzed: first, the accuracy of results yielded by each method under study, and second, the computational cost required to reach such results. Weighing up both aspects, density functional theory has been found to be more appropriate than the Hartree-Fock (HF) and the analyzed post-HF methods. Hence, the structural characterization and spectroscopic elucidation of the full CrO2X2 series (X=F,Cl,Br,I) has been done at this level of theory. Emphasis has been given to the unknown CrO2I2 species, and specially to the UV/visible spectra of all four compounds. Furthermore, a topological analysis in terms of charge density distributions has revealed why the valence shell electron pair repulsion model fails in predicting the molecular shape of such CrO2X2 complexes

Relations among several nuclear and electronic density functional reactivity indexes

A set of connections among several nuclear and electronic indexes of reactivity in the framework of the conceptual Density Functional Theory by using an expansion ofthe energy functional in terms of the total number of electrons and the normal coordinates within a canonical ensemble was derived. The relations obtained provided explicit links between important quantities related to the chemical reactivity of a system. This paper particularly demonstrates that the derivative of the electronic energy with respect to the external potential of a system in its equilibrium geometry was equal to the negative of the nuclear repulsion derivative with respect to the external potential

Some aspects of the neuronal cytoskeleton in development.

The review is focused on developmental aspects of the neuronal cytoskeleton, its molecular composition and the intracellular distribution of its elements. It includes a survey of the molecular properties of several cytoskeletal proteins such as tubulins, microtubule-associated proteins, neurofilament subunits, actins and brain spectrins. Furthermore it is addressed how microtubules, neurofilaments, microfilaments and the spectrin-based membrane cytoskeleton are involved in the generation of the neuronal cytoarchitecture, and how changes in the molecular composition of the cytoskeleton during the differentiation process of a neuron may correlate with cell function.

Density functional energy decomposition into one- and two-atom contributions

The present work provides a generalization of Mayer's energy decomposition for the density-functional theory (DFT) case. It is shown that one- and two-atom Hartree-Fock energy components in Mayer's approach can be represented as an action of a one-atom potential VA on a one-atom density ρ A or ρ B. To treat the exchange-correlation term in the DFT energy expression in a similar way, the exchange-correlation energy density per electron is expanded into a linear combination of basis functions. Calculations carried out for a number of density functionals demonstrate that the DFT and Hartree-Fock two-atom energies agree to a reasonable extent with each other. The two-atom energies for strong covalent bonds are within the range of typical bond dissociation energies and are therefore a convenient computational tool for assessment of individual bond strength in polyatomic molecules. For nonspecific nonbonding interactions, the two-atom energies are low. They can be either repulsive or slightly attractive, but the DFT results more frequently yield small attractive values compared to the Hartree-Fock case. The hydrogen bond in the water dimer is calculated to be between the strong covalent and nonbonding interactions on the energy scale

One- and two-center physical space partitioning of the energy in the density functional theory

A conceptually new approach is introduced for the decomposition of the molecular energy calculated at the density functional theory level of theory into sum of one- and two-atomic energy components, and is realized in the "fuzzy atoms" framework. (Fuzzy atoms mean that the three-dimensional physical space is divided into atomic regions having no sharp boundaries but exhibiting a continuous transition from one to another.) The new scheme uses the new concept of "bond order density" to calculate the diatomic exchange energy components and gives them unexpectedly close to the values calculated by the exact (Hartree-Fock) exchange for the same Kohn-Sham orbitals

Proximal tibia volumetric bone mineral density is correlated to the magnitude of local acceleration in male long distance runners.

Introduction: The beneficial effect of physical exercise on bone mineral density (BMD) is at least partly explained by the forces exerted directly on the bones. Male runners present generally higher BMD than sedentary individuals. We postulated that the proximal tibia BMD is related to the running distance as well as to the magnitude of the shocks (while running) in male runners. Methods: A prospective study (three yearly measurements) included 81 healthy male subjects: 16 sedentary lean subjects and three groups of runners (5-30 km/week, n=19; 30-50 km/week, n=29; 50-100 km/week, n=17). Several measurements were performed at the proximal tibia level: volumetric BMD (vBMD), cortical index (CI) i.e. an index of cortical bone thickness and peak accelerations (an index of shocks during heel strike) while running (measured by a 3-D accelerometer). A general linear model assessed the prediction of vBMD or CI by a) simple effects (running distance, peak accelerations, time) and b) interactions (for instance if vBMD prediction by peak acceleration depends on running distance). Results: CI and vBMD a) increase with running distance to reach a plateau over 30 km/wk, b) are positively associated with peak accelerations over 30 km/week. Discussion: Running may be associated with high peak accelerations in order to have beneficial effects on BMD. More important strains are needed to be associated with the same increase in BMD during running sessions of short duration than those of long duration. Conclusion: CI and vBMD are associated with the magnitude of the shocks during heel strike in runners. Key words: Bone mineral density, strains, physical exercise, running distance.