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We consider the model of interaction between the immune system and tumor cells including a memory function that reflect the influence of the past states, to simulate the time needed by the latter to develop a chemical and cell mediated…

Dynamical Systems · Mathematics 2007-05-23 G. Mircea , M. Neamtu , R. F. Horhat , D. Opris

Reservoir computing, a machine learning framework used for modeling the brain, can predict temporal data with little observations and minimal computational resources. However, it is difficult to accurately reproduce the long-term target…

Machine Learning · Computer Science 2025-06-24 Yuji Kawai , Takashi Morita , Jihoon Park , Minoru Asada

The adaptive fitness of an organism in its ecological niche is highly reliant upon its ability to associate an environmental or internal stimulus with a behavior response through reinforcement. This simple but powerful observation has been…

Neurons and Cognition · Quantitative Biology 2023-12-01 Roy E. Clymer , Sanjeev V. Namjoshi

In this paper we introduce a mixture cure model with a linear hazard rate regression model for the event times. Cure models are statistical models for event times that take into account that a fraction of the population might never…

Statistics Theory · Mathematics 2020-11-26 Emil Aas Stoltenberg

Continual learning, the ability of a model to learn over time without forgetting previous knowledge and, therefore, be adaptive to new data, is paramount in dynamic fields such as disease outbreak prediction. Deep neural networks, i.e.,…

Machine Learning · Computer Science 2024-01-18 Saba Aslam , Abdur Rasool , Hongyan Wu , Xiaoli Li

The robustness of human social networks against epidemic propagation relies on the propensity for physical contact adaptation. During the early phase of infection, asymptomatic carriers exhibit the same activity level as susceptible…

Social and Information Networks · Computer Science 2024-03-04 Masoumeh Moradian , Aresh Dadlani , Rasul Kairgeldin , Ahmad Khonsari

In this article, we present a modification to the network-based stochastic SEIR epidemic model which allows for modifications to the underlying contact network to account for the effects of quarantine. We also discuss the changes needed to…

Populations and Evolution · Quantitative Biology 2020-08-05 Chris Groendyke , Adam Combs

In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the…

Statistical Mechanics · Physics 2026-03-18 Alexander Leibenzon , Samuel W. S. Johnson , Ruth E. Baker , Michael Assaf

Sexually transmitted infections (STIs) continue to present a complex and costly challenge to public health programs. The preferences and social dynamics of a population can have a large impact on the course of an outbreak as well as the…

Populations and Evolution · Quantitative Biology 2015-06-30 Michael A. L. Hayashi , Marisa C. Eisenberg

The transmission rate of many acute infectious diseases varies significantly in time, but the underlying mechanisms are usually uncertain. They may include seasonal changes in the environment, contact rate, immune system response, etc. The…

Quantitative Methods · Quantitative Biology 2011-06-17 Mark Pollicott , Hao Wang , Howie Weiss

We present a series of SIR-network models, extended with a game-theoretic treatment of imitation dynamics which result from regular population mobility across residential and work areas and the ensuing interactions. Each considered…

Populations and Evolution · Quantitative Biology 2019-11-14 Sheryl L. Chang , Mahendra Piraveenan , Mikhail Prokopenko

This research addresses the problem of adaptive modeling in time-series data streams with clear input-output relationships. This problem is challenging because rapid system changes (regime shifts) caused by environmental factors or input…

Machine Learning · Computer Science 2026-05-27 Ren Fujiwara , Yasuko Matsubara , Yasushi Sakurai

We developed an integrated recurrent neural network and nonlinear regression spatio-temporal model for vector-borne disease evolution. We take into account climate data and seasonality as external factors that correlate with disease…

Machine Learning · Computer Science 2022-01-25 Zhijian Li , Jack Xin , Guofa Zhou

In realistic scenarios, multivariate timeseries evolve over case-by-case time-scales. This is particularly clear in medicine, where the rate of clinical events varies by ward, patient, and application. Increasingly complex models have been…

Machine Learning · Computer Science 2020-03-06 Jacob Deasy , Ari Ercole , Pietro Liò

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

We consider the problem of estimating the topology of spatial interactions in a discrete state, discrete time spatio-temporal graphical model where the interactions affect the temporal evolution of each agent in a network. Among other…

Machine Learning · Statistics 2010-04-15 Patrick L. Harrington , Alfred O. Hero

Traditional epidemic models consider that individual processes occur at constant rates. That is, an infected individual has a constant probability per unit time of recovering from infection after contagion. This assumption certainly fails…

Populations and Evolution · Quantitative Biology 2013-03-18 Guillermo Abramson , Sebastian Gonçalves , Marcelo F. C. Gomes

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

We devise a machine learning technique to solve the general problem of inferring network links that have time-delays. The goal is to do this purely from time-series data of the network nodal states. This task has applications in fields…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Amitava Banerjee , Joseph D. Hart , Rajarshi Roy , Edward Ott

Human contact networks are constituted by a multitude of individuals and pairwise contacts among them. However, the dynamic nature, which generates the evolution of human contact networks, of contact patterns is not known yet. Here, we…

Physics and Society · Physics 2019-05-22 Cong Li , Jing Li , Xiang Li
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