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In this paper, we advance the network theory of aging and mortality by developing a causal mathematical model for the mortality rate. First, we show that in large networks, where health deficits accumulate at nodes representing health…

Quantitative Methods · Quantitative Biology 2024-12-18 Valentin Flietner , Bernd Heidergott , Frank den Hollander , Ines Lindner , Azadeh Parvaneh , Holger Strulik

In this letter we announce rigorous results on the phenomenon of aging in the Glauber dynamics of the random energy model and their relation to Bouchaud's 'REM-like' trap model. We show that, below the critical temperature, if we consider a…

Disordered Systems and Neural Networks · Physics 2019-05-15 G. Ben Arous , A. Bovier , V. Gayrard

The two underlying requirements of face age progression, i.e. aging accuracy and identity permanence, are not well studied in the literature. In this paper, we present a novel generative adversarial network based approach. It separately…

Computer Vision and Pattern Recognition · Computer Science 2019-01-11 Hongyu Yang , Di Huang , Yunhong Wang , Anil K. Jain

Starting from the geometric description of quantum systems, we propose a novel approach to time-independet dissipative quantum processes according to which the energy is dissipated but the coherence of the states is preserved. Our proposal…

Quantum Physics · Physics 2021-08-02 Hans Cruz-Prado , Alessandro Bravetti , Angel Garcia-Chung

How will my face look when I get older? Or, for a more challenging question: How will my brain look when I get older? To answer this question one must devise (and learn from data) a multivariate auto-regressive function which given an image…

Image and Video Processing · Electrical Eng. & Systems 2021-10-01 Tian Xia , Agisilaos Chartsias , Chengjia Wang , Sotirios A. Tsaftaris

We develop theoretical equivalences between stochastic and deterministic models for populations of individual cells stratified by age. Specifically, we develop a hierarchical system of equations describing the full dynamics of an…

Populations and Evolution · Quantitative Biology 2022-06-29 Joshua C. Kynaston , Chris Guiver , Christian A. Yates

We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Ac- tivity Driven (NoPAD) model [Moinet et al. Phys. Rev. Lett., 114 (2015)], a temporal network model incorporating the empirically observed bursty…

Disordered Systems and Neural Networks · Physics 2016-09-21 Antoine Moinet , Michele Starnini , Romualdo Pastor-Satorras

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

Gibbs' thermodynamic entropy is given by the logarithm of the phase volume, which itself responds to heat transfer to and from thermal reservoirs. We compare the thermodynamic dissipation described by phase-volume loss with heat-transfer…

Statistical Mechanics · Physics 2016-06-22 Puneet Kumar Patra , William Graham Hoover , Carol Griswold Hoover , Julien Clinton Sprott

Time-resolved photoemission spectroscopy provides a unique and direct way to explore the real-time nonequilibrium dynamics of electrons and holes. The formal theory of the spectral function evolution requires inclusion of electronic…

Materials Science · Physics 2025-05-09 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtěch Vlček

Logarithmic aging phenomena are prevalent in various systems, including electronic materials and biological structures. This study utilizes a generalized continuous time random walk (CTRW) framework to investigate the mechanisms behind the…

Statistical Mechanics · Physics 2024-09-24 Chunyan Li , Haiwen Liu , X. C. Xie

In these lecture notes I describe some of the main theoretical ideas emerged to explain the aging dynamics. This is meant to be a very short introduction to aging dynamics and no previous knowledge is assumed. I will go through simple…

Statistical Mechanics · Physics 2009-11-11 Giulio Biroli

We present a model for biological aging that considers the number of individuals whose (inherited) genetic charge determines the maximum age for death: each individual may die before that age due to some external factor, but never after…

adap-org · Physics 2008-02-03 R. M. C. de Almeida , S. Moss de Oliveira , T. J. P. Penna

Changes in the timescales at which complex systems evolve are essential to predicting critical transitions and catastrophic failures. Disentangling the timescales of the dynamics governing complex systems remains a key challenge. With this…

Methodology · Statistics 2024-03-11 Giona Casiraghi , Georges Andres

This paper develops a point-mutation model describing the evolutionary dynamics of a population of adult stem cells. Such a model may prove useful for quantitative studies of tissue aging and the emergence of cancer. We consider two modes…

Tissues and Organs · Quantitative Biology 2009-11-10 Emmanuel Tannenbaum , James L. Sherley , Eugene I. Shakhnovich

Neural signals are characterized by rich temporal and spatiotemporal dynamics that reflect the organization of cortical networks. Theoretical research has shown how neural networks can operate at different dynamic ranges that correspond to…

Neurons and Cognition · Quantitative Biology 2017-07-05 Luca Ambrogioni , Marcel A. J. van Gerven , Eric Maris

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

Neural and Evolutionary Computing · Computer Science 2020-05-14 Karan Nayak

This paper proposes an original theory of aging of multicellular organisms. The cells of multicellular organisms, in contrast to unicellular organisms, are burdened with a two- part genome: housekeeping and specialized (multicellular),…

Cell Behavior · Quantitative Biology 2012-08-16 Lev Salnikov

Ergodicity breaking and aging effects are fundamental challenges in out-of-equilibrium systems. Various mechanisms have been proposed to understand the non-ergodic and aging phenomena, possibly related to observations in systems ranging…

Disordered Systems and Neural Networks · Physics 2025-04-18 Chunyan Li , Qingyang Feng , Tianjie Zhou , Haiwen Liu , X. C. Xie

The advent of single-cell technology has significantly improved our understanding of cellular states and subpopulations in various tissues under normal and diseased conditions by employing data-driven approaches such as clustering and…