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The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there…

Medical Physics · Physics 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

Human pluripotent stem cell-derived cardiomyocytes (hPSC-CMs) are a promising therapy for regenerating myocardium after infarction, but their use is limited by graft-related arrhythmias that frequently occur shortly after transplantation.…

Tissues and Organs · Quantitative Biology 2026-05-05 Suran Galappaththige , Vadim N Biktashev , Faisal J Alibhai , Michael Laflamme

The body morphology plays an important role in the way information is perceived and processed by an agent. We address an information theory (IT) account on how the precision of sensors, the accuracy of motors, their placement, the body…

Robotics · Computer Science 2024-08-26 Alexandre Pitti , Kohei Nakajima , Yasuo Kuniyoshi

Spiking activity from populations of neurons display causal interactions and memory effects. Therefore, they are expected to show some degree of irreversibility in time. Motivated by the spike train statistics, in this paper we build a…

Biological Physics · Physics 2015-12-07 Rodrigo Cofre , Cesar Maldonado

Cell migration, which can be significantly affected by intracellular signaling pathways (ICSP) and extracellular matrix (ECM), plays a crucial role in many physiological and pathological processes. The efficiency of cell migration, which is…

Biological Physics · Physics 2021-07-07 Yanping Liu , Yang Jiao , Qihui Fan , Guoqiang Li , Jingru Yao , Gao Wang , Silong Lou , Guo Chen , Jianwei Shuai , Liyu Liu

Electroanatomical mapping, a keystone diagnostic tool in cardiac electrophysiology studies, can provide high-density maps of the local electric properties of the tissue. It is therefore tempting to use such data to better individualize…

Optimization and Control · Mathematics 2021-02-03 Thomas Grandits , Simone Pezzuto , Jolijn M. Lubrecht , Thomas Pock , Gernot Plank , Rolf Krause

Spatial variations in the electrical properties of cardiac tissue can occur because of cardiac diseases. We introduce such gradients into mathematical models for cardiac tissue and then study, by extensive numerical simulations, their…

Biological Physics · Physics 2018-07-13 Soling Zimik , Rupamanjari Majumder , Rahul Pandit

Entropy metrics (for example, permutation entropy) are nonlinear measures of irregularity in time series (one-dimensional data). Some of these entropy metrics can be generalised to data on periodic structures such as a grid or lattice…

Combinatorics · Mathematics 2021-10-22 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

Objective: The Mapper algorithm is a qualitative method in topological data analysis that constructs graphs from point clouds by combining dimensionality reduction and clustering techniques. The aim of this study is to apply Mapper,…

Quantitative Methods · Quantitative Biology 2026-04-22 Aina Ferrà Marcús , Carles Casacuberta , Josep Vives , Joan Guich , Gerard Amorós-Figueras , Jose M. Guerra

We present the multiscale entropy analysis of short term physiological time series of simultaneously acquired samples of heart rate, blood pressure and lung volume, from healthy subjects and from subjects with Chronic Heart Failure.…

Medical Physics · Physics 2007-05-23 L. Angelini , R. Maestri , D. Marinazzo , L. Nitti , M. Pellicoro , G. D. Pinna , S. Stramaglia , S. A. Tupputi

This article serves as a brief introduction to the Shannon information theory. Concepts of information, Shannon entropy and channel capacity are mainly covered. All these concepts are developed in a totally combinatorial flavor. Some issues…

Information Theory · Computer Science 2021-04-26 Ricky X. F. Chen

Electroanatomic mapping as routinely acquired in ablation therapy of ventricular tachycardia is the gold standard method to identify the arrhythmogenic substrate. To reduce the acquisition time and still provide maps with high spatial…

We present graphs of information versus disturbance for general quantum measurements of completely unknown states. Each piece of information and disturbance is quantified by two measures: (i) the Shannon entropy and estimation fidelity for…

Quantum Physics · Physics 2017-08-31 Hiroaki Terashima

Reentrant waves propagating in a ring or annulus of excitable media model is the basic mechanism underlying a major class of irregular cardiac rhythms known as anatomical reentry. Such reentrant waves are terminated by rapid electrical…

Chaotic Dynamics · Physics 2009-11-07 Sitabhra Sinha , David J. Christini

Interruptions in nonlinear wave propagation, commonly referred to as wave breaks, are typical of many complex excitable systems. In the heart they lead to fatal rhythm disorders, the so-called arrhythmias, which are one of the main causes…

We propose a new way of investigating phase transitions in the context of information theory. We use an information-entropic measure of spatial complexity known as configurational entropy (CE) to quantify both the storage and exchange of…

Statistical Mechanics · Physics 2018-03-23 Damian Sowinski , Marcelo Gleiser

A closer look at nature has recently brought more interest in exploring and utilizing intra-body communication networks composed of cells as intrinsic, perfectly biocompatible infrastructures to deliver therapeutics. Naturally occurring…

Signal Processing · Electrical Eng. & Systems 2022-07-06 Hamid Khoshfekr Rudsari , Mohammad Zoofaghari , Mladen Veletic , Jacob Bergsland , Ilangko Balasingham

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

Statistical Mechanics · Physics 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

In this work we present a new idea to develop a method to separate stochastic and deterministic information contained in an electrocardiogram, ECG, which may provide new sources of information with diagnostic purposes. We assume that the…

Data Analysis, Statistics and Probability · Physics 2016-08-16 R. M. Gutiérrez , L. Sandoval

The ultimate purpose of the statistical analysis of ordinal patterns is to characterize the distribution of the features they induce. In particular, knowing the joint distribution of the pair Entropy-Statistical Complexity for a large class…

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