Stochastic Processes

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  Subject Areas on Research

  • A Bayesian approach for individual-level drug benefit-risk assessment. 
  • A comparison of the performance of time-delay estimators in medical ultrasound. 
  • A duality in aging: the equivalence of mortality models based on radically different concepts. 
  • A genetic stochastic process model for genome-wide joint analysis of biomarker dynamics and disease susceptibility with longitudinal data. 
  • A kinetic and kinematic analysis of the effect of stochastic resonance electrical stimulation and knee sleeve during gait in osteoarthritis of the knee. 
  • A mathematical model of the physiological dynamics of aging and correlated mortality selection. I. Theoretical development and critiques. 
  • A method for modifying the image quality parameters of digital radiographic images. 
  • A model for migratory B cell oscillations from receptor down-regulation induced by external chemokine fields. 
  • A model of accelerated aging induced by 5-bromodeoxyuridine. 
  • A model of variability in brain stimulation evoked responses. 
  • A neuron model of stochastic resonance using rectangular pulse trains. 
  • A population-based model of respiratory cancer incidence, progression, diagnosis, treatment, and mortality. 
  • A proportional hazards model for incidence and induced remission of disease. 
  • A random-walk model of human mortality and aging. 
  • A simulation environment for directional sensing as a phase separation process. 
  • A stochastic compartment model of stomach cancer with correlated waiting time distributions. 
  • A stochastic compartment model representation of chronic disease dependence: techniques for evaluating parameters of partially unobserved age inhomogeneous stochastic processes. 
  • A stochastic evolutionary model for protein structure alignment and phylogeny. 
  • A time-dependent statistical model which relates current clinical status to prognosis: application to advanced prostatic cancer. 
  • Active life expectancy estimates for the U.S. elderly population: a multidimensional continuous-mixture model of functional change applied to completed cohorts, 1982-1996. 
  • Addressing biological uncertainties in engineering gene circuits. 
  • Application of singular value decomposition to the analysis of time-resolved macromolecular x-ray data. 
  • Asymptomatic arrhythmias in patients with symptomatic paroxysmal atrial fibrillation and paroxysmal supraventricular tachycardia. 
  • BayFish: Bayesian inference of transcription dynamics from population snapshots of single-molecule RNA FISH in single cells. 
  • Bayesian analysis of mixtures applied to post-synaptic potential fluctuations. 
  • Bayesian estimation of survival functions under stochastic precedence. 
  • Bayesian hierarchically weighted finite mixture models for samples of distributions. 
  • Bayesian learning from marginal data in bionetwork models. 
  • Bayesian modeling of multiple lesion onset and growth from interval-censored data. 
  • Bayesian models for multivariate current status data with informative censoring. 
  • Bayesian variable selection for latent class models. 
  • Benchmarking of dynamic Bayesian networks inferred from stochastic time-series data. 
  • Beyond intuitive modeling: combining biophysical models with innovative experiments to move the circadian clock field forward. 
  • Bioactuarial models of national mortality time series data. 
  • Cohort changes in active life expectancy in the U.S. elderly population: experience from the 1982-2004 National Long-Term Care Survey. 
  • Compartment model approach to the estimation of tumor incidence and growth: investigation of a model of cancer latency. 
  • Competition and species packing in patchy environments. 
  • Computation of steady-state probability distributions in stochastic models of cellular networks. 
  • Computational tools for assessing gene therapy under branching process models of mutation. 
  • Connectome Smoothing via Low-Rank Approximations. 
  • Considerations for the implementation of target volume protocols in radiation therapy: in regard to Craig et al., IJROBP 2001;49:241-250. 
  • Correctly estimating how environmental stochasticity influences fitness and population growth. 
  • Cortical granule exocytosis is triggered by different thresholds of calcium during fertilisation in sea urchin eggs. 
  • Cortical mechanisms for the segregation and representation of acoustic textures. 
  • Demographic compensation and tipping points in climate-induced range shifts. 
  • Demography in an increasingly variable world. 
  • Dependent competing risks: a stochastic process model. 
  • Designing a robust activity recognition framework for health and exergaming using wearable sensors. 
  • Detection of hormesis effect in longevity: simulation approach for heterogeneous population. 
  • Diffusion-limited phase separation in eukaryotic chemotaxis. 
  • Dosimetry and microdosimetry of targeted radiotherapy. 
  • Dynamic paradigms for human mortality and aging. 
  • Ecological forecasts: an emerging imperative. 
  • Elasticity of population growth with respect to the intensity of biotic or abiotic driving factors. 
  • Envelope control of outer membrane vesicle production in Gram-negative bacteria. 
  • Estimating increment-decrement life tables with multiple covariates from panel data: the case of active life expectancy. 
  • Estimation of cell survival in tumours heated to nonuniform temperature distributions. 
  • Evolution of dispersal distance. 
  • Evolutionary dynamics of self-incompatibility alleles in Brassica. 
  • Evolutionary dynamics of tumor progression with random fitness values. 
  • Exceptional survivors have lower age trajectories of blood glucose: lessons from longitudinal data. 
  • Experimental design of time series data for learning from dynamic Bayesian networks. 
  • Feedback control of T-cell receptor activation. 
  • Financial Forecasting and Stochastic Modeling: Predicting the Impact of Business Decisions. 
  • Fitting Nonlinear Ordinary Differential Equation Models with Random Effects and Unknown Initial Conditions Using the Stochastic Approximation Expectation-Maximization (SAEM) Algorithm. 
  • Forecasting health: data needs and implications for model structure. 
  • From subthreshold to firing-rate resonance. 
  • Fuzzy set analyses of genetic determinants of health and disability status. 
  • Genetic model for longitudinal studies of aging, health, and longevity and its potential application to incomplete data. 
  • Genome organization and three kinds of heritable changes: general description and stochastic factors (a review). 
  • Global epidemiology of HIV infection in men who have sex with men. 
  • HPV clearance and the neglected role of stochasticity. 
  • Hormesis and debilitation effects in stress experiments using the nematode worm Caenorhabditis elegans: the model of balance between cell damage and HSP levels. 
  • Increases in air temperature can promote wind-driven dispersal and spread of plants. 
  • Independent sources of quantal variability at single glutamatergic synapses. 
  • Individual-based chaos: extensions of the discrete logistic model. 
  • Informed consent in human research: what to say and how to say it. 
  • Inhibiting clathrin-mediated endocytosis of the leucine-rich G protein-coupled receptor-5 diminishes cell fitness. 
  • Intercomparison of methods for image quality characterization. II. Noise power spectrum. 
  • Interleukin 1 receptor (IL-1R1) activation exacerbates toxin-induced acute kidney injury. 
  • Joint analysis of stochastic processes with application to smoking patterns and insomnia. 
  • Joint modeling of DNA sequence and physical properties to improve eukaryotic promoter recognition. 
  • Local frequency dependence and global coexistence. 
  • Logarithmic amplifier for computed tomography tasks using fluoroscopic projections. 
  • Longevity can buffer plant and animal populations against changing climatic variability. 
  • Longitudinal analysis of the dynamics and risk of coronary heart disease in the Framingham Study. 
  • Lotka's game in predator-prey theory: linking populations to individuals. 
  • Low demographic variability in wild primate populations: fitness impacts of variation, covariation, and serial correlation in vital rates. 
  • Low-dimensional chaos in bipolar disorder? 
  • Massive computational acceleration by using neural networks to emulate mechanism-based biological models. 
  • Maximum likelihood estimation of a stochastic compartment model of cancer latency: lung cancer mortality among white females in the U.S. 
  • Modeling biological systems using Dynetica--a simulator of dynamic networks. 
  • Modeling deterministic effects in hematopoietic system caused by chronic exposure to ionizing radiation in large human cohorts. 
  • Modeling hematopoietic system response caused by chronic exposure to ionizing radiation. 
  • Modeling the axial extension of a transmission line source within iterative reconstruction via multiple transmission sources. 
  • Modeling the effects of biologically incorporated radionuclides and chronic low-dose ionizing radiation exposure on both cancer and chronic non-cancer diseases. 
  • Models for forecasting chronic disease processes in adult and elderly populations: effects of stochasticity. 
  • Models of the interaction of mortality and the evolution of risk factor distribution: a general stochastic process formulation. 
  • Mortality and aging in a heterogeneous population: a stochastic process model with observed and unobserved variables. 
  • New stochastic carcinogenesis model with covariates: an approach involving intracellular barrier mechanisms. 
  • Noise reduction by diffusional dissipation in a minimal quorum sensing motif. 
  • Nonequilibrium dynamics of probe filaments in actin-myosin networks. 
  • Nonlinear feedforward networks with stochastic outputs: infomax implies redundancy reduction. 
  • On the estimation of the binomial probability in multistage clinical trials. 
  • Optimal timing of implantable cardioverter-defibrillator implantation after myocardial infarction: a decision analysis. 
  • P-value calculation for multistage phase II cancer clinical trials. 
  • Phasic ion channel blockade. A kinetic model and parameter estimation procedure. 
  • Population models for the health effects of ionizing radiation. 
  • Precision of neural timing: effects of convergence and time-windowing. 
  • Predetermination of sexual fate in a turtle with temperature-dependent sex determination. 
  • Predicted and inferred waiting times for key mutations in the germinal centre reaction: evidence for stochasticity in selection. 
  • Predicting auditory tone-in-noise detection performance: the effects of neural variability. 
  • Predicting dynamic range and intensity discrimination for electrical pulse-train stimuli using a stochastic auditory nerve model: the effects of stimulus noise. 
  • Predicting the threshold of pulse-train electrical stimuli using a stochastic auditory nerve model: the effects of stimulus noise. 
  • Predicting the threshold of single-pulse electrical stimuli using a stochastic auditory nerve model: the effects of noise. 
  • Predictions of psychophysical measurements for sinusoidal amplitude modulated (SAM) pulse-train stimuli from a stochastic model. 
  • Propagation of fluctuations in biochemical systems, I: linear SSC networks. 
  • Pseudospontaneous activity: stochastic independence of auditory nerve fibers with electrical stimulation. 
  • Psychophysical threshold variability in cochlear implant subjects. 
  • Reconstruction of porous material geometry by stochastic optimization based on bulk NMR measurements of the dipolar field. 
  • Reduction of single-neuron firing uncertainty by cortical ensembles during motor skill learning. 
  • Relative inefficiencies in production between solo and group practice physicians. 
  • Reproduction and survival in Mediterranean fruit flies: a "protein and energy" free radical model of aging. 
  • Reproductive uncertainty and the relative competitiveness of simultaneous hermaphroditism versus dioecy. 
  • Resolving the biodiversity paradox. 
  • Robustness and dissipation of mitogen-activated protein kinases signal transduction network: underlying funneled landscape against stochastic fluctuations. 
  • Sensitivity of the population growth rate to demographic variability within and between phases of the disturbance cycle. 
  • Simulation model of the relationship between cesarean section rates and labor duration. 
  • Slow stochastic Hebbian learning of classes of stimuli in a recurrent neural network. 
  • Spatial Measures of Genetic Heterogeneity During Carcinogenesis. 
  • Spatial Moran models, II: cancer initiation in spatially structured tissue. 
  • Spatial and temporal integration of visual motion signals for smooth pursuit eye movements in monkeys. 
  • Spatial aspects of interspecific competition. 
  • Speckle coherence of piecewise-stationary stochastic targets. 
  • Stability of forest biodiversity. 
  • Steering most probable escape paths by varying relative noise intensities. 
  • Stochastic E2F activation and reconciliation of phenomenological cell-cycle models. 
  • Stochastic facilitation of artificial tactile sensation in primates. 
  • Stochastic hyperelastic constitutive laws and identification procedure for soft biological tissues with intrinsic variability. 
  • Stochastic model for analysis of longitudinal data on aging and mortality. 
  • Stochastic noise characteristics in matrix inversion tomosynthesis (MITS). 
  • Stochastic pairing of heavy-chain and kappa light-chain variable gene families occurs in polyclonally activated B cells. 
  • Stochastic resonance electrical stimulation to improve proprioception in knee osteoarthritis. 
  • Stochastic segment models of eukaryotic promoter regions. 
  • Stochastic sensitivity analysis and kernel inference via distributional data. 
  • Stochastic variation in network epidemic models: implications for the design of community level HIV prevention trials. 
  • Stochastic voyages into uncharted chemical space produce a representative library of all possible drug-like compounds. 
  • Stochastic vs. deterministic modeling of intracellular viral kinetics. 
  • Stochastically ordered multiple regression. 
  • Strategies for analysing ecological health data: models of the biological risk of individuals. 
  • Strategy to discover diverse optimal molecules in the small molecule universe. 
  • Surface-to-surface bridges formed by reversibly assembled polymers. 
  • Symptom-based patient stratification in mental illness using clinical notes. 
  • The Lagrangian stochastic model for estimating footprint and water vapor fluxes over inhomogeneous surfaces. 
  • The assessment of postural control with stochastic resonance electrical stimulation and a neoprene knee sleeve in the osteoarthritic knee. 
  • The diversity of population responses to environmental change. 
  • The effect of averaging adjacent planes for artifact reduction in matrix inversion tomosynthesis. 
  • The effects of health histories on stochastic process models of aging and mortality. 
  • The effects of molecular noise and size control on variability in the budding yeast cell cycle. 
  • The evolution of parasite manipulation of host dispersal. 
  • The impact of stochastic resonance electrical stimulation and knee sleeve on impulsive loading and muscle co-contraction during gait in knee osteoarthritis. 
  • The propagation of uncertainty in human mortality processes operating in stochastic environments. 
  • The statistics of repeating patterns of cortical activity can be reproduced by a model network of stochastic binary neurons. 
  • Tree Topology Estimation. 
  • Two-level stochastic search variable selection in GLMs with missing predictors. 
  • Ultra-low dose of Mycobacterium tuberculosis aerosol creates partial infection in mice. 
  • Uncertainty-Gated Stochastic Sequential Model for EHR Mortality Prediction. 
  • Variation in stochastic demography between and within central and peripheral regions in a widespread short-lived herb. 
  • stpm: an R package for stochastic process model. 
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  Keywords of People

  • Alberts, Susan C., Robert F. Durden Distinguished Professor of Biology, Duke Science & Society
  • Badea, Cristian Tudorel, Professor in Radiology, Biomedical Engineering
  • Beratan, David N., R.J. Reynolds Distinguished Professor of Chemistry, Nicholas Institute-Energy Initiative
  • Bradford, William Dalton, Professor of Pathology, Pathology
  • Huettel, Lisa Gresham, Edmund T. Pratt, Jr. School Professor of the Practice of Electrical and Computer Engineering, Electrical and Computer Engineering
  • Kelsoe, Garnett H., James B. Duke Distinguished Professor of Immunology, Integrative Immunobiology
  • Mattingly, Jonathan Christopher, Kimberly J. Jenkins Distinguished University Professor of New Technologies, Mathematics
  • Pizer, Billy, Research Professor in the Sanford School of Public Policy, Duke Science & Society
  • Starmer, Charles Franklin, Professor Emeritus of Computer Science, Computer Science
  • Tornai, Martin Paul, Associate Professor of Radiology, Radiology
  • Trivedi, Kishor S., Hudson Distinguished Professor of Electrical and Computer Engineering, Electrical and Computer Engineering