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PubMed2005

EEG nonstationarity during intracranially recorded seizures: statistical and dynamical analysis.

OBJECTIVE: The investigation of nonstationarity in complex, multivariable signals, such as electroencephalographic (EEG) recordings, requires the application of different and novel approaches to analysis. In this study, we have divided the EEG recordings during epileptic seizures into sequential stages using spectral and statistical analysis, and have as well reconstructed discrete-time models (maps) that reflect dynamical (deterministic) properties of the EEG voltage time series. METHODS: Intracranial human EEG recordings with epileptic seizures from three different subjects with medically intractable temporal lobe epilepsy were studied. The methods of statistical (power spectra, wavelet spectra, and one-dimensional probability distribution functions) and dynamical (comparison of dynamical models) nonstationarity analysis were applied. RESULTS: Dynamical nonstationarity analysis revealed more detailed inner structure within the seizures than the statistical analysis. Three or four stages with different dynamics are typically present within seizures. The difference between interictal activity and seizure events was also more evident through dynamical analysis. CONCLUSIONS: Nonstationarity analysis can reveal temporal structure within an epileptic seizure, which could further understanding of how seizures evolve. The method could also be used for identification of seizure onset. SIGNIFICANCE: Our approach reveals new information about the temporal structure of seizures, which is inaccessible using conventional methods.

Electroencephalography↗
PubMed2005

Dynamic MR imaging for diagnosis of lesions adjacent to pituitary gland.

In this study, we evaluated the usefulness of dynamic studies for the preoperative diagnosis of tumor lesions adjacent to the pituitary gland. We examined 13 tumors. We obtained pre- and post-contrast thin slice T1-weighted images of the sellar regions. FSE sequences were used for dynamic study. The capability to distinguish the tumor from the pituitary gland and additional information obtained from the dynamic study were evaluated. Two meningiomas were identified more clearly on the dynamic than on the delayed study. In two cavernous hemangiomas, the peripheral nodular stains gradually increased during the dynamic study. For the preoperative evaluation of lesions adjacent to the pituitary gland, the dynamic study can often identify the lesions more clearly and may provide additional information.

Adult↗
PubMed2004

Deterministic dynamics control oscillations of bone marrow cell proliferation.

OBJECTIVE: The production of blood cells in vivo, both normal and tumoral, displays oscillatory dynamics. Many cells in long-term cultures also show large amplitude oscillations of proliferative rate. Therefore we examined the proliferation dynamics of mouse bone marrow cells (MBM) and their clonogenic progenitor production (BMP), in order to characterize these dynamics. METHODS: Five Dexter-type cultures of MBM cells and their clonogenic BMP production were examined for up to seven-months periods of time. The recorded time series exhibited a complex pattern of oscillations with variable amplitudes. We previously reported a method that allowed analysis of such nonlinear dynamics of hepatoma cell proliferation. We applied this method, based on the two-dimensional recurrent representation of data, to analyze the fluctuations of bone marrow cells proliferation. RESULTS: The proliferation rate of mouse bone marrow cells shows large amplitude oscillations every 2 to 3 weeks. Mathematical analysis revealed a deterministic mechanism that controls all proliferation local maxima of MBM cells. Dynamics for progenitor production resembled that of parental cells. This reflects a predominant negative feedback on bone marrow cell proliferation. CONCLUSION: These dynamics were opposite of that previously described for hepatoma cells where the dominant control is applied to the local minima (troughs of proliferation). Therefore, the complex system of cell proliferation is controlled by a bipolar mechanism, with a predominant dampening command depending on the cell type. We propose that the dominant dampening control of local maxima in bone marrow cells protects the stock of stem cells.

Animals↗
PubMed2005

The dynamic systems approach to control and regulation of intracellular networks.

Systems theory and cell biology have enjoyed a long relationship that has received renewed interest in recent years in the context of systems biology. The term 'systems' in systems biology comes from systems theory or dynamic systems theory: systems biology is defined through the application of systems- and signal-oriented approaches for an understanding of inter- and intra-cellular dynamic processes. The aim of the present text is to review the systems and control perspective of dynamic systems. The biologist's conceptual framework for representing the variables of a biochemical reaction network, and for describing their relationships, are pathway maps. A principal goal of systems biology is to turn these static maps into dynamic models, which can provide insight into the temporal evolution of biochemical reaction networks. Towards this end, we review the case for differential equation models as a 'natural' representation of causal entailment in pathways. Block-diagrams, commonly used in the engineering sciences, are introduced and compared to pathway maps. The stimulus-response representation of a molecular system is a necessary condition for an understanding of dynamic interactions among the components that make up a pathway. Using simple examples, we show how biochemical reactions are modelled in the dynamic systems framework and visualized using block-diagrams.

Animals↗
PubMed2005

Destabilization of human balance control by static and dynamic head tilts.

To better understand the effects of varying head movement frequencies on human balance control, 12 healthy adult humans were studied during static and dynamic (0.14, 0.33, 0.6 Hz) head tilts of +/- 30 degrees in the pitch and roll planes. Postural sway was measured during upright stance with eyes closed and altered somatosensory inputs provided by a computerized dynamic posturography (CDP) system. Subjects were able to maintain upright stance with static head tilts, although postural sway was increased during neck extension. Postural stability was decreased during dynamic head tilts, and the degree of destabilization varied directly with increasing frequency of head tilt. In the absence of vision and accurate foot support surface inputs, postural stability may be compromised during dynamic head tilts due to a decreased ability of the vestibular system to discern the orientation of gravity. This instability may compound the risk of falling following recovery from balance disorders or adaptation to altered gravity conditions such as space flight. Thus, dynamic head tilts may improve the diagnostic sensitivity of computerized dynamic posturography, particularly for healthy subjects recovering from temporary balance control deficits.

Adaptation, Physiological↗
PubMed2005

QT dynamics in risk stratification after myocardial infarction.

OBJECTIVES: The purpose of this study was to compare measures of repolarization dynamics (QT dynamics) with other Holter risk predictors, left ventricular systolic function, and demographic characteristics to establish whether QT dynamics add independent information on risk stratification after myocardial infarction (MI). A novel QT dynamics parameter, the QT/RR variability ratio (VR), was introduced in this study. BACKGROUND: Abnormal repolarization contributes to arrhythmogenesis, and quantification of QT dynamics may have prognostic value after MI. METHODS: A 24-hour Holter recording was performed in 481 consecutive MI patients. Recordings from 311 patients were included in the analysis. QT/RR slope and intercept, mean and standard deviation of all QT, QTc, and RR intervals, and VR (defined as the ratio between the standard deviation of all QT intervals and the standard deviation of all RR interval) were calculated. Ventricular premature beats and ventricular tachycardia were counted. RESULTS: During 3-year follow-up, 70 deaths from all causes occurred. All parameters except mean of all QT intervals and standard deviation of all QTc intervals univariately predicted all-cause mortality. In multivariate Cox analysis, only VR per 0.1 (hazard ratio [HR]: 1.9 [1.5-2.4]), left ventricular ejection fraction per 5% (HR: 1.2 [1.1-1.3]), ventricular premature beats per 10 beats/hour (HR: 1.03 [1.002-1.06]), and age per 10 years (HR: 1.6 [1.3-2.0]) independently predicted all-cause mortality. CONCLUSIONS: Measures of QT dynamics univariately predicted total mortality. VR, left ventricular ejection fraction, ventricular premature beats, and age made up the optimal Cox model for risk stratification after MI. VR seems to be a promising risk factor for identifying sudden arrhythmic death.

Aged↗
PubMed2006

Turbulence dynamics: an independent predictor of late mortality after acute myocardial infarction.

INTRODUCTION: The prognostic value of heart rate turbulence for predicting mortality after acute myocardial infarction is well established. This study investigates a new measure of heart rate turbulence, termed turbulence dynamics, which quantifies the relationship between turbulence slope and underlying heart rate (HR(VPC)). METHODS: Six hundred eight patients participating in the European Myocardial Infarction Amiodarone Trial had > or =25 ventricular premature complexes/24 h. During a follow-up period of 21 months (median), 120 patients died. Turbulence dynamics was assessed as the slope of the regression line between turbulence slope and HR(VPC). Survival analyses included age, history of previous myocardial infarction, presence of diabetes mellitus, mean normal-to-normal interval, heart rate variability index, presence of non-sustained ventricular tachycardia, left ventricular ejection fraction, turbulence onset and turbulence slope. All risk predictors were dichotomized at pre-defined cut-off points, turbulence dynamics was dichotomized at the median. Primary endpoint of the study was death of any cause. RESULTS: In most patients, turbulence slope was inversely correlated to HR(VPC). Univariately, turbulence dynamics was the second strongest risk predictor of mortality (relative risk 2.4 (95% confidence interval 1.6-3.6), p<0.001). Multivariately, turbulence dynamics was the third strongest risk predictor (1.7 (1.1-2.7, p<0.01)). CONCLUSION: In the patient population studied, turbulence dynamics was an independent predictor of mortality. The results indicate that in addition to the overall level of autonomic function the loss of autonomic adaptability contributes to prognosis.

Acute Disease↗
PubMed2005

Spatial and temporal development of chondrocyte-seeded agarose constructs in free-swelling and dynamically loaded cultures.

Dynamic deformational loading has been shown to significantly increase the development of material properties of chondrocyte-seeded agarose hydrogels, however little is known about the spatial development of the material properties within these constructs. In this study, a technique that combines video microscopy and optimized digital image correlation, was applied to assess the spatial development of material properties in tissue-engineered cartilage constructs cultured in free-swelling and dynamically-loaded conditions (3h/day, 5 days/week, and maintained in free-swelling conditions when not being loaded) over a 6-week period. Although homogeneous at day 0, both free-swelling and dynamically loaded samples progressively developed stiffer outer edges and a softer central region. The distribution of GAGs and collagens were shown to mimic this profile. These results indicate that although dynamic loading augments the development of bulk properties in these samples, possibly by overcoming some of the diffusion limitation and nutrient transport issues, the overall profile of construct properties in the axial direction remains qualitatively the same as in free-swelling culture conditions. Poisson's ratio of these constructs increased over time in culture with increased fixed charged density contributed by the GAGs, but this increase was significantly less in dynamically loaded samples by day 42. Polarized light microscopy of Picrosirius Red labeled samples, at an angle perpendicular to the direction of loading, suggests that these differences in Poisson's ratio may be due to improved organization of collagen network in the dynamically loaded samples.

Animals↗
PubMed2006

Measuring word learning: dynamic versus static assessment of kindergarten vocabulary.

UNLABELLED: This preliminary study investigated the potential of using a dynamic approach to assessing expressive word mapping. Because measuring word mapping with productive language responses is much more difficult than measuring receptive word mapping, incorporating a dynamic measure allowed us to tap partial mapping and provided useful information on word learning. Participants were 24 typically developing African American children, from high-risk backgrounds and low-risk backgrounds, as determined by school and family demographics. Performance was compared on the PPVT-III and on the dynamic assessment of word mapping. The dynamic assessment of word mapping provided information about complete and partial mapping of words. Additionally, there was an interaction between risk and performance on the vocabulary and word learning measures. These data suggest that the use of the dynamic measure in conjunction with traditional vocabulary measures may have the potential to provide an estimate of word-learning ability. LEARNING OUTCOMES: Readers will (1) be able to identify the need for word-learning measures and (2) become familiar with the combined technique of using dynamic assessment and fast mapping.

Aptitude↗
PubMed2004

Molecular dynamics simulations of transducin: interdomain and front to back communication in activation and nucleotide exchange.

The dynamic events that underlie the nucleotide exchange process for the Galpha subunit of transducin (Galpha(t)) were studied with nanosecond time-scale molecular dynamics simulations. The modeled systems include the active and inactive forms of the wild-type Galpha(t) and three of its mutants (GDP-bound form only): F332A, A322S, and Q326A that are known to exhibit various degrees of enhancement of their basal and receptor-catalyzed rates of nucleotide exchange (150-fold, 70-fold and WT-like, respectively). The results of these computational experiments reveal a number of nucleotide-dependent structural and dynamic changes (involving the alpha(B)-alpha(C) loop, the inter-domain orientation of the helical and GTPase domains and the alpha(5) helix) that were not observed in the various crystal structures of Galpha(t). Notably, the results show the existence of a front to back communication device (involving the beta(2)-beta(3) hairpin, the alpha(1) helix and the alpha(5) helix), strategically located near all elements susceptible to be involved in receptor-mediated activation/nucleotide exchange. The wild-type simulations suggest that the dynamic interplay between the elements of this device would be critical for the activation of the Galpha(t) subunit. This inference is confirmed by the results of the computational experiments on the mutants that show that even in their GDP-bound forms, the A322S and F332A mutants acquire an "active-like" structure and dynamics phenotype. The same is not true for the Q326A mutant whose structural and dynamic properties remain similar to those of the GDP-bound WT. Taken together the results suggest a nucleotide exchange mechanism, analogous to that found in the Arf family GTPases, in which a partially activated state, achievable from a receptor-mediated action of the front to back communication device either by displacement of the C-terminal alpha(5) helix, of the N-terminal alpha(N) helix, or of the Gbetagamma subunit, could precede the dissociation of GDP from the native Galpha subunit.

Enzyme Activation↗
PubMed2005

Computer simulation studies of the effects of dynamic shimming on susceptibility artifacts in EPI at high field.

Dynamic shimming in multi-slice imaging aims to achieve optimal magnetic field homogeneity by updating the shim coil currents for each slice in real time. Dynamic shimming may reduce the signal loss and geometric distortion caused by magnetic susceptibility variations between tissues and is likely to be valuable for fast T2*-sensitive imaging techniques like EPI. A computer simulation of dynamic shimming using real image data has been developed to demonstrate the effectiveness of higher order dynamic shimming for echo planar imaging at high magnetic field, and to investigate the potential benefits of different orders of shim coil. Geometric distortions and signal intensities for different degrees of dynamic shimming were simulated and the results are compared with the images obtained with a conventional shimming technique. These results demonstrate the effectiveness, necessity and difficulty of high order dynamic shimming.

Artifacts↗
PubMed2005

In vivo serial joint space measurements during dynamic loading in a canine model of osteoarthritis.

OBJECTIVE: To devise a reliable, sensitive method to measure joint space in vivo during dynamic loading. Additionally, to determine if dynamic joint space changes were related to the severity of long-term cartilage damage. DESIGN: Subjects were 23 adult foxhounds (18 experimental, 5 control). Experimental subjects had surgically transected cranial cruciate ligaments (CCL). Dynamic joint space was serially measured in vivo over 2 years using a unique high speed stereo radiographic system in combination with subject-specific computed tomography reconstructions. RESULTS: Dynamic joint space was measured in vivo with a within-day precision of 0.09 mm. Half of the experimental subjects developed minor articular cartilage damage and the other half developed severe articular cartilage damage in the medial knee compartment. Joint space during treadmill running increased significantly in the minor damage group in both the medial (+0.61 mm, P = 0.036) and lateral (+0.84 mm, P = 0.002) compartments of the knee. Dynamic joint space in the severe damage group did not increase significantly on either the medial (+0.27 mm, P = 0.408) or lateral (+0.44 mm, P = 0.199) side. The majority of the change in joint space occurred the first year after CCL transection. Medial meniscus damage was related to severity of medial articular cartilage damage (tau = 0.447, P = 0.003). The minor damage group developed 73% of all osteophytes noted at dissection. CONCLUSIONS: This technique is a precise tool for measuring joint space serially in vivo under dynamic loading conditions. The data suggest decreased severity in long-term articular cartilage damage is related to: osteophyte formation, less severe medial meniscus damage and increased joint space the first 12 months after injury.

Animals↗
PubMed2006

Ultrafast photoinduced deligation and ligation dynamics: DCM in micelle and micelle-enzyme complex.

We report studies on diffusion controlled deligation and ligation dynamics of a probe ligand 4-(dicyanomethylene)-2-methyl-6-(p-dimethylamino-styryl) 4H-pyran (DCM) with cationic cetyltrimethylammonium bromide (CTAB) micelles. In order to investigate the effect of spatial heterogeneity on the dynamics we study the DCM labeled micelle upon complexation with an enzyme alpha-chymotrypsin (CHT). The variation of fluorescence line-width (Gamma(t)) of DCM in the complex and also in the micelle indicates the diffusion dynamics of DCM through various environments of different polarities. The temporal behavior of Gamma(t) reveals that at 50 mM CTAB concentration the excited DCM traverses 6.5 Angstrom distance from the surface of a host micelle (deligation) before entering to a stern layer of another adjacent micelle (ligation). From neutron scattering experiment the distance 6.5 Angstrom is found to be the thickness of a stern layer of CTAB micelle. No indication of ligation has been found at 2 mM CTAB concentration as the intermicellar distance is estimated to be very large (416 Angstrom) compared to the previous case. The dynamical behavior of Gamma(t) is also indicative of significantly slower diffusion of the ligand molecules (DCM) at the surface of the micelle in presence and absence of the enzyme compared to that in the bulk buffer. We have also studied the dynamics of solvation and local geometrical restriction on the probe DCM at the micellar surface with and without CHT. With picosecond time resolution, we found time constants of the solvation relaxation processes of the DCM labeled enzyme-micelle complex to be 230 ps (45%) and 870 ps (55%), which were comparable to those of the micelle without the enzyme. The time dependent anisotropy revealing local orientational motions of the probe in the complex was also found to be similar to that of DCM at the micellar surface in absence of CHT. These studies attempt to link the dynamical features for insight into the ligand mediated intercellular communication and the biological function of the enzyme alpha-chymotrypsin upon complexation with the CTAB micelle.

Anisotropy↗
PubMed2005

An integrated model of Plasmodium falciparum dynamics.

The within-host and between-host dynamics of malaria are linked in myriad ways, but most obviously by gametocytes, the parasite blood forms transmissible from human to mosquito. Gametocyte dynamics depend on those of non-transmissible blood forms, which stimulate immune responses, impeding transmission as well as within-host parasite densities. These dynamics can, in turn, influence antigenic diversity and recombination between genetically distinct parasites. Here, we embed a differential-equation model of parasite-immune system interactions within each of the individual humans represented in a discrete-event model of Plasmodium falciparum transmission, and examine the effects of human population turnover, parasite antigenic diversity, recombination, and gametocyte production on the dynamics of malaria. Our results indicate that the local persistence of P. falciparum increases with turnover in the human population and antigenic diversity in the parasite, particularly in combination, and that antigenic diversity arising from meiotic recombination in the parasite has complex differential effects on the persistence of founder and progeny genotypes. We also find that reductions in the duration of individual human infectivity to mosquitoes, even if universal, produce population-level effects only if near-absolute, and that, in competition, the persistence and prevalence of parasite genotypes with gametocyte production concordant with data exceed those of genotypes with higher gametocyte production. This new, integrated approach provides a framework for investigating relationships between pathogen dynamics within an individual host and pathogen dynamics within interacting host and vector populations.

Animals↗
PubMed2005

The dynamics of single-substrate continuous cultures: the role of ribosomes.

When a chemostat is perturbed from its steady state, it displays complex dynamics. For instance, if the identity of the growth-limiting substrate is switched abruptly, the substrate concentration and cell density undergo a pronounced excursion from the steady state that can last several days. These dynamics occur because certain physiological variables respond slowly. In the literature, several physiological variables have been postulated as potential sources of the slow response. These include transport enzymes, biosynthetic enzymes, and ribosomes. We have been addressing this problem by systematically exploring the role of these variables. In previous work Shoemaker et al. (J. Theor. Biol., 222 (2003) 307-322), we studied the role of transport enzymes, and we showed that transients starting from low transport enzyme levels could be quantitatively captured by a model taking due account of transport enzyme synthesis. However, there is some experimental data indicating that slow responses occur even if the initial enzyme levels are high. Here, we analyse this data to show that in these cases, the sluggish response is most probably due to slow adjustment of the ribosome levels. To test this hypothesis, we extend our previous model by accounting for the evolution of both the transport enzyme and the ribosomes. Based on a kinetic analysis of the data in the literature, we assume that the specific protein synthesis rate is proportional to the ribosome level, and the specific ribosome synthesis rate is autocatalytic. Simulations of the model show remarkable agreement with experimentally observed steady states and the transients. Specifically, the model predictions are in good agreement with (1) the steady-state profiles of the cell density, substrate concentration, RNA, proteins, and transport enzymes, (2) the instantaneous specific substrate uptake, growth, and respiration rates in response to a continuous-to-batch shift, and (3) the transient profiles of the cell density, substrate concentration, and RNA in response to feed switches and dilution rate shifts. Time-scale analysis of the model reveals that every transient response is a combination of two fundamental (and simpler) dynamics, namely, substrate-sufficient batch dynamics and cell-sufficient fed-batch dynamics. We obtain further insight into the transient response by analysing the equations describing these fundamental dynamics. The analysis reveals that in feed switches or dilution rate shift-ups, the transport enzyme reaches a maximum before RNA achieves its maximum, and in dilution rate shift-downs the cell density reaches a maximum before RNA achieves a minimum.

Bacterial Physiological Phenomena↗
PubMed2005

HIV-1 dynamics at different time scales under antiretroviral therapy.

We exploit a model that considers three compartments: blood plasma (BP), lymphoid tissue-interstitial spaces (LT-IS), and follicular dendritic cells (FDC), for the HIV-1 dynamics under the application of highly active antiretroviral therapy (HAART) which allowed us to unravel distinct viral dynamics occurring in short- (2 days), middle- (21 days), and long-term (183 days) time scales. The different time scales are determined by the viral clearance rate, the ratio of productively infected CD4(+) T cells to chronically infected cells, and the dissociation rate of HIV-1 complexes from FDC. This generates a scenario in which, after an initial transient stage, the viral BP dynamics decouples and becomes governed by the lymphoid tissue (LT) dynamics; in a later stage, a new decoupling occurs in which the LT-IS dynamics is slaved to that of the FDC dynamics. We observed an initial increase in the viremia after HAART in a patient who did not receive protease inhibitors (PI). By means of the above-mentioned model we were able to highlight the relevant parameters which need to be estimated at three different time scales after HAART.

Adult↗
PubMed2006

Modeling of temperature mapping for quantitative dynamic infrared coronary angiography for intraoperative graft patency control.

OBJECTIVES: Intraoperative application of thermal coronary angiography based on dynamic infrared imaging leads to useful qualitative information concerning coronary artery bypass graft flow and anatomy. Additional quantitative flow estimation is desirable to detect graft failures. The aim of this study was to develop a heat-transfer model for quantitative flow estimation in an experimental setup. The first clinical results in coronary artery bypass grafting are reported. METHODS: Dynamic infrared imaging was applied in pig hearts to collect video data of the rewarming process of the left anterior descending artery supplied by antegrade perfusion. For mathematic description, we used the dynamic enthalpy balance for open systems, and a Laplace transformation was carried out. Therefore the time constant tau was calculated by performing a nonlinear fit procedure on the averaged dynamic temperature curves recorded over a left anterior descending artery segment. Subsequently, left internal thoracic artery-left anterior descending artery bypass graft flow was assessed intraoperatively. Effective left anterior descending artery flow was determined by using a transit-time flowmeter. RESULTS: Tau is a system constant and changes depending on the flow and the system capacity. Assuming system capacity to be constant, tau only depends on the flow. It follows from the differential equation that there is a potential relation between tau and the flow. An excellent comparison (R2 = 0.968, P <.005) was demonstrated. By using the algorithms, quantitative flow estimation in pig hearts was possible. For clinical application, the formulas were applied to intraoperatively derived dynamic temperature curves with a good comparison to the actual left internal thoracic artery-left anterior descending artery flow. CONCLUSION: The developed heat-transfer model allows for precise measurement of graft flow by using dynamic infrared imaging and can be applied for noninvasive graft flow estimation in beating-heart surgery.

Animals↗
PubMed2005

A Bayesian approach to modeling dynamic effective connectivity with fMRI data.

A state-space modeling approach for examining dynamic relationship between multiple brain regions was proposed in Ho, Ombao and Shumway (Ho, M.R., Ombao, H., Shumway, R., 2005. A State-Space Approach to Modelling Brain Dynamics to Appear in Statistica Sinica). Their approach assumed that the quantity representing the influence of one neuronal system over another, or effective connectivity, is time-invariant. However, more and more empirical evidence suggests that the connectivity between brain areas may be dynamic which calls for temporal modeling of effective connectivity. A Bayesian approach is proposed to solve this problem in this paper. Our approach first decomposes the observed time series into measurement error and the BOLD (blood oxygenation level-dependent) signals. To capture the complexities of the dynamic processes in the brain, region-specific activations are subsequently modeled, as a linear function of the BOLD signals history at other brain regions. The coefficients in these linear functions represent effective connectivity between the regions under consideration. They are further assumed to follow a random walk process so to characterize the dynamic nature of brain connectivity. We also consider the temporal dependence that may be present in the measurement errors. ML-II method (Berger, J.O., 1985. Statistical Decision Theory and Bayesian Analysis (2nd ed.). Springer, New York) was employed to estimate the hyperparameters in the model and Bayes factor was used to compare among competing models. Statistical inference of the effective connectivity coefficients was based on their posterior distributions and the corresponding Bayesian credible regions (Carlin, B.P., Louis, T.A., 2000. Bayes and Empirical Bayes Methods for Data Analysis (2nd ed.). Chapman and Hall, Boca Raton). The proposed method was applied to a functional magnetic resonance imaging data set and results support the theory of attentional control network and demonstrate that this network is dynamic in nature.

Attention↗