Maximal steady state versus state of conditioning.

Criteria for the identification of maximal steady state as related to state of conditioning were evaluated. 13 volunteers walker and/or ran during a series of 15 min tests on a treadmill. The speeds ranged from mild to exhaustive. Heart rate was monitored continuously; VO2 was determined from 6 min to 9 min; and venous blood was obtained at 10 min and 15 min for lactate analyses. Max VO2 was established for each subject. Subjects were classified on level of conditioning according to the quantity and quality of their activity record for the previous 6 months. The 10 min heart rate associated with a blood lactate level of 2.2 mM/L (MSSHR) was the best predictor of conditioning. The relative VO2 (% of max VO2) found with a 10 min blood lactate concentration of 2.2 mM/L (RMSSVO2) was almost as accurate as MSSHR in predicting state of conditioning. Changes in blood lactate levels between 10 min and 15 min were not significantly related to conditioning.     

Definitions of state variables and state space for brain-computer interface

Neocortical state variables are defined and evaluated at three levels: microscopic using multiple spike activity (MSA), mesoscopic using local field potentials (LFP) and electrocorticograms (ECoG), and macroscopic using electroencephalograms (EEG) and brain imaging. Transactions between levels occur in all areas of cortex, upwardly by integration (abstraction, generalization) and downwardly by differentiation (speciation). The levels are joined by circular causality: microscopic activity upwardly creates mesoscopic order parameters, which downwardly constrain the microscopic activity that creates them. Integration dominates in sensory cortices. Microscopic activity evoked by receptor input in sensation induces emergence of mesoscopic activity in perception, followed by integration of perceptual activity into macroscopic activity in concept formation. The reverse process dominates in motor cortices, where the macroscopic activity embodying the concepts supports predictions of future states as goals. These macroscopic states are conceived to order mesoscopic activity in patterns that constitute plans for actions to achieve the goals. These planning patterns are conceived to provide frames in which the microscopic activity evolves in trajectories that adapted to the immediate environmental conditions detected by new stimuli. This circular sequence forms the action-perception cycle. Its upward limb is understood through correlation of sensory cortical activity with behavior. Now brain-machine interfaces (BMI) offer a means to understand the downward sequence through correlation of behavior with motor cortical activity, beginning with macroscopic goal states and concluding with recording of microscopic MSA trajectories that operate neuroprostheses. Part 1 develops a hypothesis that describes qualitatively the neurodynamics that supports the action-perception cycle and derivative reflex arc. Part 2 describes episodic, “cinematographic” spatial pattern formation and predicts some properties of the macroscopic and mesoscopic frames by which the embedded trajectories of the microscopic activity of cortical sensorimotor neurons might be organized and controlled. URL: http://sulcus.berkeley.edu     

Sleep state switching

We take for granted the ability to fall asleep or to snap out of sleep into wakefulness, but these changes in behavioral state require specific switching mechanisms in the brain that allow well-defined state transitions. In this review, we examine the basic circuitry underlying the regulation of sleep and wakefulness and discuss a theoretical framework wherein the interactions between reciprocal neuronal circuits enable relatively rapid and complete state transitions. We also review how homeostatic, circadian, and allostatic drives help regulate sleep state switching and discuss how breakdown of the switching mechanism may contribute to sleep disorders such as narcolepsy.     

The vegetative state as a manifestation of a stable pathological state

The results of comprehensive monitoring of the state of 25 patients in the vegetative state (prolonged coma) before and after compensating for the factors of secondary brain damage were analyzed and followed up for no less than six months. The primary results showed that the best recovery of consciousness and cognitive functions was observed if, according to the positron emission tomography data, a diffuse decrease in the glucose metabolism rate (GMR_glu), significantly exceeding the extent of the zones of morphological/anatomical lesions, was present in the brain before treatment, while the minimal improvement was observed if the GMR_glu was sufficiently intact. These and other paradoxical results can be explained if the vegetative state is regarded as a stable pathological state of the brain, which offers new approaches to the treatment of this group of patients.     

An algorithm for detecting non-steady state moieties in steady state subnetworks

An algorithm is presented for the automatic detection of dynamic moiety pools within steady state metabolic subnetworks which may be embedded within larger dynamic networks. This is an aid in the quantitative development of the hierarchical structure of metabolic networks. The algorithm can also be used to test for the physical readability of a stoichiometric matrix of a closed metabolic network.     

A long-lived M-like state of phoborhodopsin that mimics the active state

Pharaonis phoborhodopsin (ppR, also called pharaonis sensory rhodopsin II) is a seven transmembrane helical retinal protein. ppR forms a signaling complex with pharaonis Halobacterial transducer II (pHtrII) in the membrane that transmits a light signal to the sensory system in the cytoplasm. The M-state during the photocycle of ppR (λ_max = 386 nm) is one of the active (signaling) intermediates. However, progress in characterizing the M-state at physiological temperature has been slow because its lifetime is very short (decay half-time is ∼1 s). In this study, we identify a highly stable photoproduct that can be trapped at room temperature in buffer solution containing n-octyl-β-d-glucoside, with a decay half-time and an absorption maximum of ∼2 h and 386 nm, respectively. HPLC analysis revealed that this stable photoproduct contains 13-cis-retinal as a chromophore. Previously, we reported that water-soluble hydroxylamine reacts selectively with the M-state, and we found that this stable photoproduct also reacts selectively with that reagent. These results suggest that the physical properties of the stable photoproduct (named the M-like state) are very similar with the M-state during the photocycle. By utilizing the high stability of the M-like state, we analyzed interactions of the M-like state and directly estimated the pK_a value of the Schiff base in the M-like state. These results suggest that the dissociation constant of the ppR_M-like/pHtrII complex greatly increases (to 5 μM) as the pK_a value greatly decreases (from 12 to 1.5). The proton transfer reaction of ppR from the cytoplasmic to the extracellular side is proposed to be caused by this change in pK_a.     

Structural studies of Streptococcus pneumoniae EPSP synthase in unliganded state, tetrahedral intermediate-bound state and S3P-GLP-bound state

The shikimate pathway synthesizes aromatic amino acids and other essential metabolites that are necessary for bacteria, plants and fungi to survive. This pathway is not present in vertebrates and therefore represents an attractive target for antibacterial agents. We have successfully crystallized and solved the structure of unliganded, inhibitor-liganded and tetrahedral intermediate (TI)-liganded forms of Streptococcus pneumoniae EPSP synthase. The overall topology of the S. pneumoniae EPSP synthase is similar to that of the Escherichia coli EPSP synthase. In addition, the majority of residues responsible for ligand binding were conserved between the two proteins. TI-liganded structure provides absolute configuration of the C-2 atom from the F-PEP moiety of the enzyme-bound intermediate and also defines key residues responsible for the enzyme reaction. Comparison of the unliganded state and substrate-bound state of the enzyme provides insights into the structural mechanisms involved in dynamic events of ligand binding, domain movement and closure. This structural study of the pathogenic bacteria S. pneumoniae EPSP synthase with inhibitor and TI will provide invaluable information for the design of new-generation antibiotics.     

Electrostatic interactions in the denatured state and in the transition state for protein folding: effects of denatured state interactions on the analysis of transition state structure

The development of electrostatic interactions during the folding of the N-terminal domain of the ribosomal protein L9 (NTL9) is investigated by pH-dependent rate equilibrium free energy relationships. We show that Asp8, among six acidic residues, is involved in non-native, electrostatic interactions with K12 in the transition state for folding as well as in the denatured state. The perturbed native state pK(a) of D8 (pK(a) = 3.0) appears to be maintained through non-native interactions in both the transition state and the denatured state. Mutational effects on the stability of the transition state for protein (un)folding are often analyzed in respect to change in ground states. Thus, the interpretation of transition state analysis critically depends on an understanding of mutational effects on both the native and denatured state. Increasing evidence for structurally biased denatured states under physiological conditions raises concerns about possible denatured state effects on folding studies. We show that the structural interpretation of transition state analysis can be altered dramatically by denatured state effects.     

The acid-induced folded state of Sac7d is the native state

Sac7d unfolds at low pH in the absence of salt, with the greatest extent of unfolding obtained at pH 2. We have previously shown that the acid unfolded protein is induced to refold by decreasing the pH to 0 or by addition of salt (McCrary BS, Bedell J. Edmondson SP, Shriver JW, 1998, J Mol Biol 276:203-224). Both near-ultraviolet circular dichroism spectra and ANS fluorescence enhancements indicate that the acid- and salt-induced folded states have a native fold and are not molten globular. 1H,15N heteronuclear single quantum coherence NMR spectra confirm that the native, acid-, and salt-induced folded states are essentially identical. The most significant differences in amide 1H and 15N chemical shifts are attributed to hydrogen bonding to titrating carboxyl side chains and through-bond inductive effects. The 1H NMR chemical shifts of protons affected by ring currents in the hydrophobic core of the acid- and salt-induced folded states are identical to those observed in the native. The radius of gyration of the acid-induced folded state at pH 0 is shown to be identical to that of the native state at pH 7 by small angle X-ray scattering. We conclude that acid-induced collapse of Sac7d does not lead to a molten globule but proceeds directly to the native state. The folding of Sac7d as a function of pH and anion concentration is summarized with a phase diagram that is similar to those observed for other proteins that undergo acid-induced folding except that the A-state is encompassed by the native state. These results demonstrate that formation of a molten globule is not a general property of proteins that are refolded by acid.     

Simulation of state 4 --> state 3 transition in isolated mitochondria

The mathematical dynamic model of oxidative phosphorylation developed previously and in the accompanying paper was modified to involve isolated mitochondria conditions; it was also used to simulate state 4 --> state 3 transition in rat liver mitochondria incubated with succinate as respiratory substrate and glucose-hexokinase as an ADP-regenerating system. Changes in the respiration rate, protonmotive force and reduction level of ubiquinone and cytochrome c as well as the internal (i) and external (e) ATP/ADP ratio between state 4 and state 3 were calculated and compared with the experimental data. Flux control coefficients with respect to oxygen consumption flux for different reactions and processes of oxidative phosphorylation were simulated for different values of the respiration rate (state 4, state 3 and intermediate states). Flux control coefficients for the oxidation, phosphorylation and proton leak subsystems with respect to the oxidation, phosphorylation and proton leak fluxes for different values of the respiration rate were also calculated. These theoretical data were compared with the experimental results obtained in the frame of metabolic control analysis and the 'top-down' approach to this analysis. A good agreement was obtained. Simulated time courses of the respiration rate, the protonmotive force (Deltap) and other parameters after addition of a small amount of ADP to mitochondria in state 4 mimicked at least semiquantitatively the experimentally measured time courses of these parameters. It was concluded, therefore, that in the present stage, the model is able to reflect different properties of the oxidative phosphorylation system in a broad range of conditions fairly well, allows deeper insight into the mechanisms responsible for control and regulation of this process, and can be used for simulation of new experiments, thus inspiring experimental verification of the theoretical predictions.     

Definitions of state variables and state space for brain–computer interface

The hypothesis is proposed that the central dynamics of the action–perception cycle has five steps: emergence from an existing macroscopic brain state of a pattern that predicts a future goal state; selection of a mesoscopic frame for action control; execution of a limb trajectory by microscopic spike activity; modification of microscopic cortical spike activity by sensory inputs; construction of mesoscopic perceptual patterns; and integration of a new macroscopic brain state. The basis is the circular causality between microscopic entities (neurons) and the mesoscopic and macroscopic entities (populations) self-organized by axosynaptic interactions. Self-organization of neural activity is bidirectional in all cortices. Upwardly the organization of mesoscopic percepts from microscopic spike input predominates in primary sensory areas. Downwardly the organization of spike outputs that direct specific limb movements is by mesoscopic fields constituting plans to achieve predicted goals. The mesoscopic fields in sensory and motor cortices emerge as frames within macroscopic activity. Part 1 describes the action–perception cycle and its derivative reflex arc qualitatively. Part 2 describes the perceptual limb of the arc from microscopic MSA to mesoscopic wave packets, and from these to macroscopic EEG and global ECoG fields that express experience-dependent knowledge in successive states. These macroscopic states are conceived to embed and control mesoscopic frames in premotor and motor cortices that are observed in local ECoG and LFP of frontoparietal areas. The fields sampled by ECoG and LFP are conceived as local patterns of neural activity in which trajectories of multiple spike activities (MSA) emerge that control limb movements. Mesoscopic frames are located by use of the analytic signal from the Hilbert transform after band pass filtering. The state variables in frames are measured to construct feature vectors by which to describe and classify frame patterns. Evidence is cited to justify use of linear analysis. The aim of the review is to enable researchers to conceive and identify goal-oriented states in brain activity for use as commands, in order to relegate the details of execution to adaptive control devices outside the brain. http://sulcus.berkeley.edu     

Plane autonomous state classifiers

The theory of autonomous state classifiers in framed in the context of dynamical systems. Plane autonomous state classifiers are studied in depth within this context. A comprehensive theory of autonomous state classifiers is obtained. The relation of this theory to the problem of generalizing a saddle point is considered.