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Estimating the distribution of dynamic invariants: Illustrated with an application to human photo-plethysmographic time series [article]

Michael Small
2003 arXiv   pre-print
Dynamic invariants are often estimated from experimental time series with the aim of differentiating between different physical states in the underlying system.  ...  In this communication we propose a surrogate based method to estimate the expected distribution of values under the null hypothesis that the underlying deterministic dynamics are stationary.  ...  Dynamic invariants are often estimated from experimental time series with the aim of differentiating between different physical states in the underlying system.  ... 
arXiv:nlin/0308032v1 fatcat:a37varwk2ramjdkpjklic5qemq

From Single Cell Data to Mechanistic Insights Into Stem Cell Differentiation [article]

Michael Stumpf
2018 Figshare  
◦ identifying molecular interaction networks from data and available prior knowledge ◦ building dynamical systems representations for detailed (in)validation and hypothesis evaluation The presentation  ...  Transition State Characteristics During Cell Differentiation. bioRxiv, 264143. http://doi.org/10.1101/2641434. Chan, T. E., Pallaseni, A., Babtie, A. C., McEwen, K., & Stumpf, M. P. H. (2018).  ...  We can establish empirical Null distributions for MI and PUC and use these to calculate local the FDR to score edges. We can infer networks for different True Discovery Rates.  ... 
doi:10.6084/m9.figshare.5899252 fatcat:ynjjvczpjjb7ngqokokv3tb6yy

Aerodynamic State and Loads Estimation Using Bioinspired Distributed Sensing

Sergio A. Araujo-Estrada, Shane P. Windsor
2020 Journal of Aircraft  
Future applications based on distributed sensing could include enhanced flight control systems that directly use measurements of aerodynamic states and loads, allowing for increase maneuverability and  ...  Flying animals exploit highly nonlinear dynamics to achieve efficient and robust flight control.  ...  Aerodynamic State and Loads Estimation Using Bioinspired Distributed Sensing Sergio A. Araujo-Estrada * and Shane P.  ... 
doi:10.2514/1.c036224 fatcat:peymtaf3jjcq5pjiysjnq7c74u

Inner Shell Definition and Absolute Hydration Free Energy of K+(aq) on the Basis of Quasi-chemical Theory and Ab Initio Molecular Dynamics [article]

Susan B. Rempe, D. Asthagiri, Lawrence R. Pratt
2003 arXiv   pre-print
The quasi-chemical estimate of solvation free energy for the neutral pair KOH is also in good agreement with experiments.  ...  Her we address these questions using both the statistical mechanical quasi-chemical theory of solutions and ab initio molecular dynamics simulations.  ...  data, and on that basis a quasi-chemical analysis provides a good estimate of the absolute hydration free energy.  ... 
arXiv:physics/0310158v1 fatcat:no6xpjz3ubfaflaxzd7ecjw2tq

Inner shell definition and absolute hydration free energy of K+(aq) on the basis of quasi-chemical theory and ab initio molecular dynamics

Susan B. Rempe, D. Asthagiri, Lawrence R. Pratt
2004 Physical Chemistry, Chemical Physics - PCCP  
The quasi-chemical estimate of solvation free energy for the neutral pair KOH is also in good agreement with experiments. *  ...  Here we address these questions using both the statistical mechanical quasi-chemical theory of solutions and ab initio molecular dynamics simulations.  ...  data, and on that basis a quasi-chemical analysis provides a good estimate of the absolute hydration free energy.  ... 
doi:10.1039/b313756b fatcat:2aolxmmdfjghlo26i5h5axdtau

A Stochastic Metapopulation Model with Variability in Patch Size and Position

J.R. Day, H.P. Possingham
1995 Theoretical Population Biology  
The state of the metapopulation is defined by the presence or absence of the species in each patch. For a system of n patches, this gives 2 n possible states.  ...  We illustrate the model's application to metapopulations by considering an example of malleefowl, Leipoa ocellata, in southern Australia, and calculate extinction probabilities and quasi-stationary distributions  ...  Quasi-stationary distributions cannot be calculated in this case because some nonzero states are not accessible from others in this system.  ... 
doi:10.1006/tpbi.1995.1034 fatcat:rqjkzf6dbnfrxgo5apqsedo4ky

Quasi-Random Sampling for Condensation [chapter]

Vasanth Philomin, Ramani Duraiswami, Larry Davis
2000 Lecture Notes in Computer Science  
in the high-dimensional state space.  ...  However, the conventional Condensation tracker is known to have difficulty with high-dimensional state spaces and unknown motion models.  ...  Dark -Highest probability state estimate; Light -Mean state estimate. The quasi-random tracker was successful using the same number of samples. Fig. 7.  ... 
doi:10.1007/3-540-45053-x_9 fatcat:jmdctuc7ajbvrcdtuio7xizn34

Quasi-Static Ultrasound Elastography

Tomy Varghese
2009 Ultrasound Clinics  
Local tissue displacement vector estimates between small segments of the pre-and post-deformation signals are estimated and the corresponding strain distribution imaged.  ...  In quasi-static elastography, radiofrequency echo signals acquired before and after a small (about 1%) of applied deformation are correlated to estimate tissue displacements.  ...  10] [11] [12] [13] [14] , 2) Steady-state quasi-static low frequency excitation on the order of 5-10 Hz, and 3) Imaging of steady-state quasi-static deformations due to physiological excitation [35] [  ... 
doi:10.1016/j.cult.2009.10.009 pmid:20798841 pmcid:PMC2927834 fatcat:mhhhdpc2enaijl4udmo5wxsvj4

Bimodal Behavior of the Heaviest Fragment Distribution in Projectile Fragmentation

E. Bonnet, D. Mercier, B. Borderie, F. Gulminelli, M. F. Rivet, B. Tamain, R. Bougault, A. Chbihi, R. Dayras, J. D. Frankland, E. Galichet, F. Gagnon-Moisan (+10 others)
2009 Physical Review Letters  
The charge distribution of the heaviest fragment detected in the decay of quasi-projectiles produced in intermediate energy heavy-ion collisions has been observed to be bimodal.  ...  An estimate of the latent heat of the transition is extracted.  ...  The physical meaning of this hypothesis is that the entrance channel geometry and dynamics (as well as the bias induced by the detection system and data selection) determine only the energy distribution  ... 
doi:10.1103/physrevlett.103.072701 pmid:19792638 fatcat:p6fegnyd2jfxhbvvmx6jspvnui

Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space

Yong Zou, Reik V. Donner, Marco Thiel, Jürgen Kurths
2016 Chaos  
Recurrence in the phase space of complex systems is a well-studied phenomenon, which has provided deep insights into the nonlinear dynamics of such systems.  ...  conservative system.  ...  Hence, the length distribution p(l) of white vertical lines l in the RM not containing any recurrent pair of observed state vectors provides an empirical estimate of the distribution of RTs on the considered  ... 
doi:10.1063/1.4942584 pmid:26931601 fatcat:upwb5qefr5cahhk3fmirunc3ye

Modelling of a Torrefaction Process Using Thermal Model Object

Alok Dhaundiyal, Laszlo Toth
2021 Energies  
The furnace used for torrefaction was initially improvised to carry out thermal degradation at quasi-static/dynamic conditions.  ...  The system was found to have a homogeneous distribution in energy and temperature with time, whereas the amplitude of heat flux along the radial direction was reduced by 15% if the same pellet underwent  ...  The relative drop of 17.24% in water evaporation was estimated in the dynamic state of the system.  ... 
doi:10.3390/en14092481 doaj:5070e2c0750b466f81f2eec8f6bd01c4 fatcat:i3vhzv6rjngdxkt5lkkxf6n5wa

Detecting environmental impacts on metapopulations of mound spring invertebrates

Andrew J Tyre, Hugh P Possingham, Darren P Niejalke
2001 Environment International  
We run the models to quasi-equilibrium, and then impose an impact by increasing the local extinction probability.  ...  The distribution of states in the last time step is an estimate of the quasi-stationary distribution, or the distribution of states we expect to see, conditional on the system not having gone extinct.  ...  This suggests that by 10 years postimpact the system is approaching a new quasi-stationary distribution.  ... 
doi:10.1016/s0160-4120(01)00091-5 pmid:11697674 fatcat:ckpdkiulwnbdler534xxqrqroi

Formation and Dynamics of a Schrödinger-Cat State in Continuous Quantum Measurement [article]

G.P. Berman, F. Borgonovi, G. Chapline, S.A. Gurvitz, P.C. Hammel, D.V. Pelekhov, A. Suter, V.I. Tsifrinovich
2001 arXiv   pre-print
probability distribution for the cantilever position develops two asymmetric peaks that quasi-periodically appear and vanish.  ...  The measurement takes place through the interaction of a single spin with a quasi-classical cantilever, modeled by a quantum oscillator in a coherent state in a quasi-classical region of parameters.  ...  Our investigation of the dynamics of a pure quantum spin 1/2 system interacting with a quasi-classical cantilever has revealed the generation of a quasi-periodic asymmetric Schrödinger-cat state for the  ... 
arXiv:quant-ph/0101035v1 fatcat:3jsjoaskdjdtvgjmsotfcxcstu

Page 2284 of Mathematical Reviews Vol. , Issue 2003C [page]

2003 Mathematical Reviews  
Consistency and asymptotic distribution of the estimators obtained by the instrumental variable method are also discussed.  ...  In the paper under review the problem of estimating parameters in linear, discrete-time dynamical systems is considered. Both the system and output observations are influenced by random errors.  ... 

Estimating the distribution of dynamic invariants: illustrated with an application to human photo-plethysmographic time series

Michael Small
2007 Nonlinear Biomedical Physics  
Dynamic invariants are often estimated from experimental time series with the aim of differentiating between different physical states in the underlying system.  ...  We propose a surrogate based method to estimate the expected distribution of values under the null hypothesis that the underlying deterministic dynamics are stationary.  ...  True estimation of dynamic invariants from noisy data is a process fraught with difficulty, in this paper we are only concerned with estimating the distribution of estimates.  ... 
doi:10.1186/1753-4631-1-8 pmid:17908340 pmcid:PMC1997126 fatcat:wtc2j45aijhnfozjx6ocile3vy
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