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Related papers: A Map-Based Model of the Cardiac Action Potential

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Cardiac motion estimation plays a key role in MRI cardiac feature tracking and function assessment such as myocardium strain. In this paper, we propose Motion Pyramid Networks, a novel deep learning-based approach for accurate and efficient…

Image and Video Processing · Electrical Eng. & Systems 2020-09-17 Hanchao Yu , Xiao Chen , Humphrey Shi , Terrence Chen , Thomas S. Huang , Shanhui Sun

We outline a representation for discrete multivariate distributions in terms of interventional potential functions that are globally normalized. This representation can be used to model the effects of interventions, and the independence…

Machine Learning · Statistics 2012-05-14 Mark Schmidt , Kevin Murphy

In this short note, we discuss the basic approach to computational modeling of dynamical systems. If a dynamical system contains multiple time scales, ranging from very fast to slow, computational solution of the dynamical system can be…

Numerical Analysis · Mathematics 2012-05-15 Johan Jansson , Claes Johnson , Anders Logg

We extend a previously introduced semi-analytical representation of a decomposition of CA dynamics in arbitrary dimensions and neighborhood schemes via the use of certain universal maps in which CA rule vectors are derivable from the…

Cellular Automata and Lattice Gases · Physics 2017-08-29 Theophanes E. Raptis

We present a method of discrete modeling and analysis of multilevel dynamics of complex large-scale hierarchical dynamic systems subject to external dynamic control mechanism. Architectural model of information system supporting simulation…

Computational Engineering, Finance, and Science · Computer Science 2008-09-23 Armen Bagdasaryan

We formalise and study multi-agent timed models MAPTs (Multi-Agent with timed Periodic Tasks), where each agent is associated to a regular timed schema upon which all possibles actions of the agent rely. MAPTs allow for an accelerated…

Multiagent Systems · Computer Science 2019-11-19 Johan Arcile , Raymond Devillers , Hanna Klaudel

The proposed analysis of the currently available experimental results concerning the neural cell activity in the brain area known as hippocampus suggests a particular mechanism of spatial information and memory processing. Below it is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Yu. Dabaghian , A. G. Cohn , L. Frank

We propose a Bayesian network model to make inferences and predictions about cardiovascular risk. Both the structure and the probability tables in the underlying model are built using a large dataset collected in Spain from annual work…

Applications · Statistics 2022-04-01 J. M. Ordovas , D. Rios Insua , A. Santos-Lozano , A. Lucia , A. Torres , A. Kosgodagan , J. M. Camacho

Compact representations of objects is a common concept in computer science. Automated planning can be viewed as a case of this concept: a planning instance is a compact implicit representation of a graph and the problem is to find a path (a…

Artificial Intelligence · Computer Science 2014-01-24 Christer Bäckström , Peter Jonsson

Driving on the limits of vehicle dynamics requires predictive planning of future vehicle states. In this work, a search-based motion planning is used to generate suitable reference trajectories of dynamic vehicle states with the goal to…

Robotics · Computer Science 2019-07-19 Zlatan Ajanovic , Enrico Regolin , Georg Stettinger , Martin Horn , Antonella Ferrara

Most models of neurons incorporate a capacitor to account for the marked capacitive behavior exhibited by the cell membrane. However, such capacitance is widely considered constant, thereby neglecting the possible effects of time-dependent…

Neurons and Cognition · Quantitative Biology 2025-12-29 Matías Courdurier , Leonel E. Medina , Esteban Paduro

Dynamical control of biological systems is often restricted by the practical constraint of unidirectional parameter perturbations. We show that such a restriction introduces surprising complexity to the stability of one-dimensional map…

Chaotic Dynamics · Physics 2009-10-31 Kevin Hall , David J. Christini

This study presents a theoretical model for a self-replicating mechanical system inspired by biological processes within living cells and supported by computer simulations. The model decomposes self-replication into core components, each of…

Other Quantitative Biology · Quantitative Biology 2025-02-18 Ralph P. Lano

In this paper, we give an elaborate and understandable review of traffic cellular automata (TCA) models, which are a class of computationally efficient microscopic traffic flow models. TCA models arise from the physics discipline of…

Physics and Society · Physics 2007-05-23 Sven Maerivoet , Bart De Moor

We propose an integrated electromechanical model of the human heart, with focus on the left ventricle, wherein biophysically detailed models describe the different physical phenomena concurring to the cardiac function. We model the…

Continuous time models in the theory of real options give explicit formulas for optimal exercise strategies when options are simple and the price of an underlying asset follows a geometric Brownian motion. This paper suggests a general,…

Other Condensed Matter · Physics 2008-12-02 Svetlana Boyarchenko , Sergei Levendorskii

The bidomain system of degenerate reaction-diffusion equations is a well-established spatial model of electrical activity in cardiac tissue, with "reaction" linked to the cellular action potential and "diffusion" representing current flow…

Analysis of PDEs · Mathematics 2018-03-26 Mostafa Bendahmane , Kenneth H. Karlsen

The reduced, simplified registration mathematical model of the system operation, obtained by scaling the registration signals of the basic model and determining the sum of the reduced, integrated flow rates by the input and output of the…

Optimization and Control · Mathematics 2015-10-15 Igor Lutsenko

We propose a quite general model of active media by consideration of the interaction between pacemakers via their phase response curves. This model describes a network of pulse oscillators coupled by their response to the internal…

Chaotic Dynamics · Physics 2007-05-23 Sergei Rybalko , Ekaterina Zhuchkova

Instead of assuming fully loaded cells in the analysis on cache-enabled networks with tools of stochastic geometry, we focus on the dynamic traffic in this letter. With modeling traffic dynamics of request arrivals and departures,…

Information Theory · Computer Science 2016-09-20 Bin Xia , Chenchen Yang , Tianyu Cao