Standard spectral density mapping protocols, well suited for the analysis of (15)N relaxation rates, introduce significant systematic errors when applied to (13)C relaxation data, especially if the dynamics is dominated by motions with short correlation times (small molecules, dynamic residues of macromolecules). A possibility to improve the accuracy by employing cross-correlated relaxation rates and on measurements taken at several magnetic fields has been examined. A suite of protocols for analyzing such data has been developed and their performance tested. Applicability of the proposed protocols is documented in two case studies, spectral density mapping of a uniformly labeled RNA hairpin and of a selectively labeled disaccharide exhibiting highly anisotropic tumbling. Combination of auto- and cross-correlated relaxation data acquired at three magnetic fields was applied in the former case in order to separate effects of fast motions and conformational or chemical exchange. An approach using auto-correlated relaxation rates acquired at five magnetic fields, applicable to anisotropically moving molecules, was used in the latter case. The results were compared with a more advanced analysis of data obtained by interpolation of auto-correlated relaxation rates measured at seven magnetic fields, and with the spectral density mapping of cross-correlated relaxation rates. The results showed that sufficiently accurate values of auto- and cross-correlated spectral density functions at zero and (13)C frequencies can be obtained from data acquired at three magnetic fields for uniformly (13)C-labeled molecules with a moderate anisotropy of the rotational diffusion tensor. Analysis of auto-correlated relaxation rates at five magnetic fields represents an alternative for molecules undergoing highly anisotropic motions.
- MeSH
- Algorithms * MeSH
- Data Interpretation, Statistical * MeSH
- Carbon-13 Magnetic Resonance Spectroscopy methods MeSH
- Magnetic Fields MeSH
- RNA, Small Interfering analysis chemistry MeSH
- Signal Processing, Computer-Assisted * MeSH
- Reproducibility of Results MeSH
- Sensitivity and Specificity MeSH
- Publication type
- Journal Article MeSH
- Research Support, Non-U.S. Gov't MeSH
BACKGROUND AND OBJECTIVE: Capturing the population variability of bone properties is of paramount importance to biomedical engineering. The aim of the present paper is to describe variability and correlations in bone mineral density with a spatial random field inferred from routine computed tomography data. METHODS: Random fields were simulated by transforming pairwise uncorrelated Gaussian random variables into correlated variables through the spectral decomposition of an age-detrended correlation matrix. The validity of the random field model was demonstrated in the spatiotemporal analysis of bone mineral density. The similarity between the computed tomography samples and those generated via random fields was analyzed with the energy distance metric. RESULTS: The random field of bone mineral density was found to be approximately Gaussian/slightly left-skewed/strongly right-skewed at various locations. However, average bone density could be simulated well with the proposed Gaussian random field for which the energy distance, i.e., a measure that quantifies discrepancies between two distribution functions, is convergent with respect to the number of correlation eigenpairs. CONCLUSIONS: The proposed random field model allows the enhancement of computational biomechanical models with variability in bone mineral density, which could increase the usability of the model and provides a step forward in in-silico medicine.
- MeSH
- Bone and Bones * MeSH
- Bone Density * MeSH
- Tomography, X-Ray Computed MeSH
- Publication type
- Journal Article MeSH
It has long been known that environmental conditions, particularly during development, affect morphological and functional properties of the brain including sensory systems; manipulating the environment thus represents a viable way to explore experience-dependent plasticity of the brain as well as of sensory systems. In this review, we summarize our experience with the effects of acoustically enriched environment (AEE) consisting of spectrally and temporally modulated complex sounds applied during first weeks of the postnatal development in rats and compare it with the related knowledge from the literature. Compared to controls, rats exposed to AEE showed in neurons of several parts of the auditory system differences in the dendritic length and in number of spines and spine density. The AEE exposure permanently influenced neuronal representation of the sound frequency and intensity resulting in lower excitatory thresholds, increased frequency selectivity and steeper rate-intensity functions. These changes were present both in the neurons of the inferior colliculus and the auditory cortex (AC). In addition, the AEE changed the responsiveness of AC neurons to frequency modulated, and also to a lesser extent, amplitude-modulated stimuli. Rearing rat pups in AEE leads to an increased reliability of acoustical responses of AC neurons, affecting both the rate and the temporal codes. At the level of individual spikes, the discharge patterns of individual neurons show a higher degree of similarity across stimulus repetitions. Behaviorally, rearing pups in AEE resulted in an improvement in the frequency resolution and gap detection ability under conditions with a worsened stimulus clarity. Altogether, the results of experiments show that the exposure to AEE during the critical developmental period influences the frequency and temporal processing in the auditory system, and these changes persist until adulthood. The results may serve for interpretation of the effects of the application of enriched acoustical environment in human neonatal medicine, especially in the case of care for preterm born children.
- MeSH
- Acoustic Stimulation * MeSH
- Acoustics MeSH
- Inferior Colliculi growth & development physiology MeSH
- Rats MeSH
- Humans MeSH
- Neurons physiology MeSH
- Neuronal Plasticity * physiology MeSH
- Animals, Newborn MeSH
- Auditory Pathways * growth & development physiology MeSH
- Auditory Perception MeSH
- Auditory Cortex * growth & development physiology MeSH
- Age Factors MeSH
- Environment MeSH
- Animals MeSH
- Check Tag
- Rats MeSH
- Humans MeSH
- Animals MeSH
- Publication type
- Journal Article MeSH
- Review MeSH
Spectral decomposition .25 -- 2.2 Examples of quantum operators .27 -- Spin-1 operators .27 -- Coordinate Density operator .95 -- Entropy. Canonical ensemble 96 -- Wigner distribution function gg -- Density operator for open systems .99 -- Evolution of density operator: closed ? oscillator at nonzero temperature .104 -- Coherent superposition vs. statistical mixture .105 -- Density
1. elektronické vydání 1 online zdroj (210 stran)
This book represents a concise summary of non-relativistic quantum mechanics on the level suitable for university students of physics. It covers, perhaps even slightly exceeds, a one-year course of about 50 lectures, requiring basic knowledge of calculus, algebra, classical mechanics and a bit of motivation for the quantum adventure.The exposition is succinct, with minimal narration, but with a maximum of explicit and hierarchically structured mathematical derivations. The text covers all essential topics of university courses of quantum mechanics - from general mathematical formalism to specific applications. The formulation of quantum theory is accompanied by illustrations of the general concepts of elementary quantum systems. Some subtleties of mathematical foundations are overviewed, but the formalism is used in an accessible, intuitive way. Besides the traditional topics of non-relativistic quantum mechanics, such as single-particle dynamics, symmetries, semiclassical and perturbative approximations, density-matrix formalism, scattering theory, theory of angular momentum, description of many-particle systems - the course also touches upon some modern issues, including quantum entanglement, decoherence, measurement, nonlocality, and quantum information. Historical context and chronology of basic achievements is outlined in brief remarks. The book is intended for beginners as a supplement to lectures, however, it may also be used by more advanced students as a compact and comprehensible overview of elementary quantum theory.
142 -- 9.1.1 Complex Demodulated Signal . 142 -- 9.1.2 Magnetization and Effective Spin Density . 143 146 -- 9.2.4 Rect and Sine Functions 147 -- 9.3 Simple Two-Spin Example 147 -- 9.3.1 Dirac Delta Function Method 200 -- 10.5.2 A 3D-Spatial, ID-Spectral Method 204 -- 11 The Continuous and Discrete Fourier .222 -- 11.3.2 Lorentzian Form 222 -- 11.3.3 The Sampling Function 223 -- 11.4 The Discrete Fourier Example 863 -- 28.1.4 Aliasing for the Two-Step Function Example .863 -- 28.2 Parallel Imaging with
Second edition xxxii, 944 stran : ilustrace ; 29 cm
- Conspectus
- Patologie. Klinická medicína
- NML Fields
- radiologie, nukleární medicína a zobrazovací metody
- NML Publication type
- kolektivní monografie
AND ELECTROMAGNETISM -- Force acting between two magnetic poles, Magnetic flux and magnetic flux density NUCLEAR PHYSICS -- 11.1 Introduction -- Basic properties of atoms, Wave properties of particles, Wave function -- 11.2 Properties of electron shells -- Quantum mechanics model of the hydrogen atom, Spectral analysis
2nd rev. ed. 81 s. : il. ; 30 cm
- Conspectus
- Fyzika
- Učební osnovy. Vyučovací předměty. Učebnice
- NML Fields
- fyzika, biofyzika
- NML Publication type
- učebnice vysokých škol
MAGNETISM AND ELECTROMAGNETISM . 33 -- Force between two magnetic poles . 33 -- Magnetic flux and flux density INTRODUCTION 56 -- Basic properties of atoms 56 -- Wave properties of particles . 57 -- Wave function PROPERTIES OF ELECTRON SHELLS . 57 -- Quantum mechanics model of the hydrogen atom . 57 -- Spectral analysis
72 s. : il. ; 30 cm
- Conspectus
- Přírodní vědy. Matematické vědy
- NML Fields
- přírodní vědy
- NML Publication type
- učebnice vysokých škol
Largest Commercial Anode—2005 25 -- 1.3.11 CT Requirements on the Move 26 -- 1.3.12 The Highest Power Density -- 4.2.1 Attenuation Imaging 111 -- 4.2.2 Linear Systems Theory 118 -- 4.2.3 Modulation Transfer Function 123 -- 4.2.4 Stating the MTF 125 -- 4.3 Spectral Imaging 132 -- 4.4 Phase-Contrast Imaging 135 -- 4.5 Beam-Hardening Artifacts 154 -- 5.1.4.4 Reducing Off-Focal Radiation 155 -- 5.1.5 Dual-Source CT 156 -- 5.1.6 Spectral in Detail 1\" -- 6.2.1 The Cathode 1\" -- 6.2.1.1 Energy Required for Electron Production-Work -- Function
xxiv, 399 stran : ilustrace ; 24 cm
- MeSH
- Diagnostic Imaging MeSH
- Radiography * instrumentation MeSH
- Technology, Radiologic MeSH
- Publication type
- Monograph MeSH
- Conspectus
- Patologie. Klinická medicína
- NML Fields
- radiologie, nukleární medicína a zobrazovací metody
2.1.5 Properties of distributions 68 -- 2.1.6 Tempered distributions 69 -- 2.2 ONE-DIMENSIONAL DELTA FUNCTION -- 2.3.1 Generalized functions as limits 79 -- 2.3.2 Generalized functions related to the delta function SAMPLING THEORY 152 -- 3.5.1 Bandlimited functions 152 -- 3.5.2 Reconstruction of a bandlimited function 210 -- 4.4.6 Radon transform in signal processing 214 -- 5 MIXED REPRESENTATIONS 215 -- 5.1 LOCAL SPECTRAL - 5.1.4 Gabor’s signal expansion 223 -- 5.2 BILINEAR TRANSFORMS 227 -- 5.2.1 Wigner distribution function
Wiley series in pure and applied optics
[1st ed.] xli, 1540 s. : il.
- Conspectus
- Lékařské vědy. Lékařství
- NML Fields
- lékařská informatika
The structure of neurons in the central auditory system is vulnerable to various kinds of acoustic exposures during the critical postnatal developmental period. Here we explored long-term effects of exposure to an acoustically enriched environment (AEE) during the third and fourth weeks of the postnatal period in rat pups. AEE consisted of a spectrally and temporally modulated sound of moderate intensity, reinforced by a behavioral paradigm. At the age of 3-6 months, a Golgi-Cox staining was used to evaluate the morphology of neurons in the inferior colliculus (IC), the medial geniculate body (MGB), and the auditory cortex (AC). Compared to controls, rats exposed to AEE showed an increased mean dendritic length and volume and the soma surface in the external cortex and the central nucleus of the IC. The spine density increased in both the ventral and dorsal divisions of the MGB. In the AC, the total length and volume of the basal dendritic segments of pyramidal neurons and the number and density of spines on these dendrites increased significantly. No differences were found on apical dendrites. We also found an elevated number of spines and spine density in non-pyramidal neurons. These results show that exposure to AEE during the critical developmental period can induce permanent changes in the structure of neurons in the central auditory system. These changes represent morphological correlates of the functional plasticity, such as an improvement in frequency tuning and synchronization with temporal parameters of acoustical stimuli.
- MeSH
- Acoustic Stimulation MeSH
- Inferior Colliculi cytology physiology MeSH
- Dendritic Spines physiology MeSH
- Dendrites physiology MeSH
- Rats MeSH
- Geniculate Bodies cytology physiology MeSH
- Neurons cytology physiology MeSH
- Neuronal Plasticity physiology MeSH
- Animals, Newborn MeSH
- Rats, Long-Evans MeSH
- Auditory Pathways cytology physiology MeSH
- Auditory Cortex cytology physiology MeSH
- Cell Shape physiology MeSH
- Animals MeSH
- Check Tag
- Rats MeSH
- Animals MeSH
- Publication type
- Journal Article MeSH