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9 recordsLinked to original sources
PubMed2025

New insights into multistability and complex resonances driven by subthreshold periodic signals in a neuronal model.

Understanding how neurons respond to weak external signals is crucial for accurate signal transmission and processing in both individual nerve cells and interconnected neuronal networks. One mechanism for the detection of these responses is through resonances. In this paper, we numerically investigate the firing patterns induced in a silent Huber-Braun neuron by a sinusoidal external force. We observe complex resonance patterns, including a sequence of frequency-locking exhibited in a Devil's Staircase structure. Furthermore, we also explore the emergence of multistability induced by the nonlinear resonance. This multistability manifests as the coexistence of three attractors, such as periodic spiking, chaotic spiking, and subthreshold oscillations. The dynamical behaviors are comprehensively analyzed using time series, bifurcation diagrams, phase portraits, and the basin of attraction. In addition, we compute the maximum Lyapunov exponent to verify chaotic regimes, and estimate the fractal dimension of basin boundaries using the uncertainty exponent. We also analyze the energy consumption of resonance-induced firing patterns and coexisting attractors. The results presented in this paper have important implications for understanding the detection of subthreshold signals and the encoding of stimulus information within a neuron's firing patterns.

Basins of attraction↗
PubMed1975

Kinetic and binding studies of Mn (II) and fructose 1,6-bisphosphate with rabbit liver hexosebisphosphatase.

The separate interaction of the substrate fructose 1,6-bisphosphate and a metal ion cofactor Mn2+ with neutral hexosebisphosphatase has been studied under equilibrium conditions at pH 7.5 with gel filtration and electron paramagnetic resonance measurements, respectively. Binding data for both ligands to the enzyme yielded nonlinear Scatchard plots that analyze in terms of four negatively cooperative binding sites per enzyme tetramer. Graphical estimates of the binding constants were refined by a computer searching procedure and nonlinear least squares analysis. These results are qualitatively similar to those obtained from binding studies involving teh alkaline enzyme, a modified form of hexosebisphosphatase whose pH optimum is in the alkaline pH region. Both forms of the enzyme enhance the proton relaxation rate of water protons by a factor of approximately 7 to 8 at 24 MHz, demonstrating similar metal ion environments. Teh activator Co(III)-EDTA did not affect Mn2+ binding to the neutral enzyme. In the presence of (alpha + beta)methyl-D-fructofuranoside 1,6-bisphosphate, however, two sets--each containing four Mn2+ binding sites--were observed per enzyme tetramer with loss of the negatively cooperative interaction. These results are viewed in terms of four noncatalytic and four catalytic Mn2+ binding sites. Parallel kinetic investigations were conducted on the neutral enzyme to determine specific activity as a function of Mn2+ and fructose 1,6-bisphosphate concentration. A pro-equilibrium sequential pathway model involving Mn2+-enzyme and the Mn2+-fructose 1,6-bisphosphate complex both as substrate and as an allosteric inhibitor satisfactorily fit the kinetic observations. All possible enzyme species were computed from the determined binding constants and grouped according to the number of moles of Mn2+-fructose 1,6-bisphosphate complex bound to the Mn2+-enzyme, and individual rate constants were calculated. The testing of other models and their failure to describe the kinetic observations are discussed.

Animals↗
PubMed1978

Stochastic ESR analysis of rat liver and hepatoma mitochondrial lipids.

A commonly used model for the interaction of the motional narrowing of ESR lines is shown to be qualitatively misleading. An analysis of lipid extracts of mitochondrial preparations labeled with 12-nitroxide stearic acid produced linear plots of the logarithm of the correlation time versus the reciprocal of the absolute temperature when analyzed with stochastic computer simulations. However, when the data were analyzed with isotropic Lorentzian line shape approximations, nonlinear plots were obtained.

Animals↗
PubMed1979

Pulse nuclear magnetic resonance measurements of water exchange across the erythrocyte membrane employing a low Mn concentration.

A simple, precise, and rapid pulse nuclear magnetic resonance technique for measuring the rate of water exchange across the erythrocyte membrane is presented. The technique is based upon the nonlinear fit of Carr-Purcell-Meiboom-Gill (CPMG) transverse relaxation time data of blood doped with 1.7 mM MnCl2 to the general two-compartment exchange condition. Previous approaches using CPMG data required high MnCl2 concentrations (25-53 nM), shown in this work to induce systematic errors ranging from 35 to 45%. At 23 degrees C the average residence time of a water molecule inside the erythrocyte (tau a) is 21.0 +/- 0.6 ms (SE). The Arrhenius plot for water exchange is linear over the range of 3 degrees - 37 degrees C and th Arrhenius activation energy is 4.79 +/- 0.03 kcal (SE). This value does not differ significantly from the energy required for bulk water flow. Results are compared with previous determinations, and sources of systematic error in tau a and the activation energy are evaluated.

Body Water↗
PubMed1976

Lipid molecular motion and enzyme activity in sarcoplasmic reticulum membrane.

In biochemically active sarcoplasmic reticulum vesicles (SR) the physical state of the membrane lipids was studied by high angle x-ray diffraction and proton nuclear magnetic resonance (NMR) at 220 MHz, and related to thermal effects observed in SR functional parameters. It is shown by high angle x-ray diffraction that even at temperatures as low as 1 degree C nearly all the SR lipid hydrocarbon chains are in a disordered conformation and only a very small part (less than 3%) are in rigid crystalline order. Consistent with this observation, the NMR data indicate that the majority of SR phospholipid molecules are in a state of restricted anisotropic motion having no apparent crystalline order at temperatures as low as 5 degrees C. At this temperature most of the resonance signal is contained in a broad feature-less line of 700-Hz half-width. On the other hand, as the temperature is raised, high-resolution NMR signals, representing groups with highly isotropic motion, begin to grow in intensity. It is estimated that by 35 degrees C 90-100% of the phosphatidylcholine N-methyl protons and 35% of the hydrocarbon-chain protons give high-resolution signals. Concurrent studies on functional parameters reveal thermal effects giving rise to nonlinear Arrhenius plots for the rates of calcium transport and calcium activated ATPase. The thermal effects observed on functional parameters and on the character of phospholipid molecular motion exhibit a parallel behavior, suggesting a relationship between enzyme activity and the physical state of the membrane lipids.

Adenosine Triphosphatases↗
PubMed1977

Significance of multiple forms of brain monoamine oxidase in situ as probed by electron spin resonance.

Spin-labeled hydroxyamphetamine, a competitive reversible inhibitor of brain monoamine oxidase, has been shown to be useful as an electron spin resonance (ESR) probe of the microenvironment of the active sites of the possible monoamine oxidase multiple forms. The ESR spectrum of spin-labeled hydroxyamphetamine was strongly quenched upon binding to the enzyme. The conformation of the active site of rat brain monoamine oxidase existing in various physical states, i.e. monoamine oxidase in situ (intact brain mitochondria), crude solubilized monoamine oxidase (MAOS) and isolated monoamine oxidase fractions (MAOa and MAOb) were critically and systematically examined. Nonlinear least squares regression analyses have been used to fit the binding data (obtained at room temperature with varying spin-labeled hydroxyamphetamine concentrations) to three groups of independent noninteracting ligand-binding models. A Gibbs-Helmholtz relationship was applied to the interpretation of the measured apparent association constant K as a function of temperature ranging from 4-50 degrees with increments of 2 degreesmfrom the extracted intensive parameters, k (intrinsic association constant) and deltaF (intrinsic free energy), as well as the apparent heat, deltaH, it was clear that the microenvironment of the binding sites existing in the more purified enzyme fractions MAOa and MAOb were similar to those found in the crude solubilized enzyme. More importantly, they correlated well with the conformation of the sites characterized in situ. The data suggested that the microenvironment of this multienzyme system was unperturbed in spite of the treatment due to the isolation process. In terms of the composition of binding sites, MAOa appeared to be heterogeneous while MAOb appeared to be more homogeneous. Since the isolated fractions MAOa and MAOb possessed marked different substrate specificities, these observations directly implied that monoamine oxidase multiple forms do exist in situ. The extracted extensive parameters, n (specific binding activity, nanomoles/mg of protein), as well as the measured characteristic transition temperatures, indicated that the relative abundance of the sites which directly affected substrate specificities was indeed altered. The consistency of the characteristic transition temperatures of 21 degrees and 38 degrees for the case of intact membrane preparations was particularly significant. A tenable hypothesis is that the manipulation in the composition of the monoamine oxidase binding forms through intimate lipid-protein interactions, which has been amply demonstrated in many biomembrane systems to be functionally important might be the underlying regulatory mechanism in vivo.

Animals↗
PubMed2025

S-GMAS: Genome-Wide Mediation Analysis With Brain Subcortical Shape Mediators.

Mediation analysis is widely utilized in neuroscience to investigate the role of brain image phenotypes in the neurological pathways from genetic exposures to clinical outcomes. However, it is still difficult to conduct mediation analyses with whole genome-wide exposures and brain subcortical shape mediators due to several challenges including (i) large-scale genetic exposures, that is, millions of single-nucleotide polymorphisms (SNPs); (ii) nonlinear Hilbert space for shape mediators; and (iii) statistical inference on the direct and indirect effects. To tackle these challenges, this paper proposes a genome-wide mediation analysis framework with brain subcortical shape mediators. First, to address the issue caused by the high dimensionality in genetic exposures, a fast genome-wide association analysis is conducted to discover potential genetic variants with significant genetic effects on the clinical outcome. Second, the square-root velocity function representations are extracted from the brain subcortical shapes, which fall in an unconstrained linear Hilbert subspace. Third, to identify the underlying causal pathways from the detected SNPs to the clinical outcome implicitly through the shape mediators, we utilize a shape mediation analysis framework consisting of a shape-on-scalar model and a scalar-on-shape model. Furthermore, the bootstrap resampling approach is adopted to investigate both global and spatial significant mediation effects. Finally, our framework is applied to the corpus callosum shape data from the Alzheimer's Disease Neuroimaging Initiative.

Humans↗
PubMed2026

Deep learning-based cross-attention fusion of multimodal MRI for survival prediction and risk stratification in IDH-wildtype glioblastoma: a multicenter study.

BACKGROUND: Glioblastoma (GBM) exhibits profound molecular and spatial heterogeneity, complicating prognostic evaluations. While multiparametric MRI provides crucial multidimensional biological information, conventional end-to-end deep learning integration strategies, such as early or late fusion, often fail to capture complex nonlinear cross-modal interactions. We aimed to systematically evaluate a cross-attention fusion (CAF) architecture for GBM survival prediction and quantify its incremental prognostic value relative to existing clinical tools. METHODS: In this multicenter retrospective study, 386 adults with IDH-wildtype, WHO grade 4 GBM were assembled from an institutional cohort (n = 226), the Chinese Glioma Genome Atlas (CGGA, n = 62), and The Cancer Genome Atlas (TCGA, n = 98). Using a unified 3D ResNet-18 backbone, we compared single-modality models, early fusion, late fusion, and CAF on preoperative T1-weighted, contrast-enhanced T1-weighted (T1CE), and T2-weighted MRI, and integrated the resulting deep learning risk score with routine clinical variables through multivariable Cox regression. Performance was assessed using Harrell's C-index, time-dependent AUC, and decision curve analysis. RESULTS: CAF showed numerically higher, more consistent C-index trends than early fusion, late fusion, and single-modality models (pooled C-index 0.629, 95% CI 0.594-0.664), although pairwise differences in time-dependent AUC were not statistically significant. Integrating clinical variables raised the pooled C-index to 0.691 (95% CI 0.660-0.721) in the treatment-era model, with comparable performance across the three cohorts (Local 0.688; CGGA 0.716; TCGA 0.689); a pre-treatment configuration excluding adjuvant therapy yielded a pooled C-index of 0.642. Under leave-one-cohort-out external validation, the combined model retained significant risk stratification in all held-out cohorts (C-index 0.63-0.71; all log-rank P&#xa0;<&#xa0;0.01), albeit with attenuated discrimination. The deep learning risk score remained independent after multivariable adjustment (HR 1.41 per SD, 95% CI 1.26-1.57; P&#xa0;<&#xa0;0.001). Kaplan-Meier analysis confirmed significant high- versus low-risk separation in all cohorts, and decision curve analysis showed greater net benefit than clinical-only and deep-learning-only models. CONCLUSION: The CAF-derived risk score offers prognostic information complementary to routine clinical variables, representing a promising noninvasive tool for individualized risk stratification when molecular profiling is incomplete or unavailable; these findings warrant prospective external validation before clinical use.

cross-attention fusion↗