Article
Computer Science, Artificial Intelligence
Bo Peng, Shuo Liu, Lei Xu, Zhen He
Summary: The research aims to develop a tool for predicting and analyzing combat attrition, including the total number of attritions, temporal and spatial distribution, and composition of the wounded. By combining system dynamics and intelligent agent simulations, a combat process simulation and attrition prediction model were constructed to provide a scientific basis for formulating medical support plans.
EXPERT SYSTEMS WITH APPLICATIONS
(2022)
Article
Thermodynamics
Anbo Meng, Cong Zeng, Xuancong Xu, Weifeng Ding, Shiyun Liu, De Chen, Hao Yin
Summary: This paper proposes a high-efficient crisscross optimization solution for the multi-area economic dispatch problem. The solution includes both centralized and decentralized optimization approaches, and utilizes powerful search operators to solve the complex problem. The proposed approach allows independent and asynchronous optimization in each area through multi-agent system.
Article
Health Care Sciences & Services
Hashem Salarzadeh Jenatabadi, Nurulaini Abu Shamsi, Boon-Kwee Ng, Nor Aishah Abdullah, Khairul Anam Che Mentri
Summary: SEM-Bayesian was used to model the correlation between manifest and latent variables in different research areas. The study introduced a new framework for modeling adolescent obesity based on lifestyle factors, incorporating household socioeconomic status, healthy and unhealthy food intake, lifestyle, BMI, and body fat. The model's reliability was demonstrated through analysis of real-time data from 881 adolescents in Tehran, Iran, providing valuable insights for researchers interested in adolescent obesity modeling.
Article
Computer Science, Artificial Intelligence
Fan Jiang, Hui Cheng
Summary: Many studies have shown that integrating the experience of other group members can accelerate the learning of optimal actions in stochastic multi-agent bandit (MAB) problems. However, the assumption of agent-independent expected rewards in classical MAB problems is invalid in real-world scenarios. To address this, a decentralized exploration policy is proposed, where agents use confidence-weighting to integrate the experience of other group members and estimate the expected rewards. Theoretical analysis confirms the effectiveness of this approach, and numerical simulations demonstrate its superiority over existing methods.
SWARM INTELLIGENCE
(2023)
Article
Mathematics, Applied
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
Summary: This paper focuses on the nonlinear Milne problem of the radiative heat transfer system on the half-space. The existence and exponential decay of solutions are proved by utilizing the monotonicity properties of the second order ODE, along with uniform estimate and compactness method. The linear stability and uniqueness of the problem are established under certain spectral assumptions on the solutions and boundary conditions.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2023)
Article
Engineering, Environmental
Lianhua Cheng, Huimin Guo, Haifei Lin
Summary: This study introduced a new method of assessing and managing the system safety of coal mines using multi-agent modeling and simulation. Results showed that safety management and operators' behavioral safety had the strongest influence on system safety. It is recommended that coal mine enterprises adjust and control these attributes to reduce accidents and improve system safety.
PROCESS SAFETY AND ENVIRONMENTAL PROTECTION
(2021)
Article
Environmental Sciences
G. Harik, Ibrahim Alameddine, R. Zurayk, M. El-Fadel
Summary: A spatio-temporal Agent Based Modeling (ABM) framework is developed to probabilistically predict farmers' decisions concerning their future farming practices when faced with potential water scarcity induced by future climate change. The proposed framework forecasts farmers' behavior assuming varying utility functions and successfully captures the actions and interactions between farmers and their environment. Including social factors in the model significantly improves the accuracy of predicting farmers' decisions.
JOURNAL OF ENVIRONMENTAL MANAGEMENT
(2023)
Article
Computer Science, Interdisciplinary Applications
Takuya Iwanaga, Hsiao-Hsuan Wang, Serena H. Hamilton, Volker Grimm, Tomasz E. Koralewski, Alejandro Salado, Sondoss Elsawah, Saman Razavi, Jing Yang, Pierre Glynn, Jennifer Badham, Alexey Voinov, Min Chen, William E. Grant, Tarla Rai Peterson, Karin Frank, Gary Shenk, C. Michael Barton, Anthony J. Jakeman, John C. Little
Summary: System-of-systems approaches have become popular for integrated assessments, involving the integration of models from various disciplines to inform policy and decision-making processes. However, current modeling paradigms have disciplinary-specific origins, leading to inconsistencies in the conceptualization and integration of socio-environmental systems. A multidisciplinary team of researchers calls for a grand vision for holistic system-of-systems research to address major socio-environmental problems through multi-tiered collaboration.
ENVIRONMENTAL MODELLING & SOFTWARE
(2021)
Review
Chemistry, Multidisciplinary
Maria Erans, Eloy S. Sanz-Perez, Dawid P. Hanak, Zeynep Clulow, David M. Reiner, Greg A. Mutch
Summary: This article reviews the latest developments in direct air capture (DAC) technology and proposes research challenges in process technology, techno-economic, and socio-political domains.
ENERGY & ENVIRONMENTAL SCIENCE
(2022)
Article
Transportation Science & Technology
Zhenyu Shou, Xu Chen, Yongjie Fu, Xuan Di
Summary: This paper aims to develop a model that studies the game behavior of selfish agents in path selection by modeling the learning behavior of intelligent agents. This model can assist policy makers in devising optimal operational and planning countermeasures under both normal and abnormal circumstances.
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES
(2022)
Article
Environmental Sciences
Jennifer Morris, John Reilly, Sergey Paltsev, Andrei Sokolov, Kenneth Cox
Summary: This study examines the relationship between socio-economic development pathways and environmental implications using Monte Carlo analysis and scenario discovery techniques. The results show multiple possible energy and technology development patterns. The long-term temperature target has little impact on sectoral output, but emission intensities must decrease rapidly. Scenario discovery techniques help explore important outcomes under different scenarios.
Article
Biotechnology & Applied Microbiology
Rok Ambrozic, Dejan Arzensek, Ales Podgornik
Summary: UF/DF operations are used for therapeutic mAb formulations, but final pH and concentration values may differ due to electrostatic interactions. A proposed mathematical model combines macroscopic mass balance with molecular approach based on Poisson-Boltzmann equation.
BIOTECHNOLOGY AND BIOENGINEERING
(2021)
Article
Thermodynamics
Justinas Jasiunas, Peter D. Lund, Jani Mikkola, Liinu Koskela
Summary: This paper introduces an integrated framework that simulates power system failures and includes social and economic values, focusing on the effects of uncontrolled and controlled power outages in Finland during windy winter weeks. The analysis demonstrates how controlled optimization can reduce societal costs of outages by redistributing power shortages to regions with lower costs and other factors.
Article
Computer Science, Artificial Intelligence
Shangding Gu, Jakub Grudzien Kuba, Yuanpei Chen, Yali Du, Long Yang, Alois Knoll, Yaodong Yang
Summary: The study investigates safe multi-agent reinforcement learning for multi-robot control and proposes theoretical solutions and benchmark environments for this problem.
ARTIFICIAL INTELLIGENCE
(2023)
Article
Economics
Hongjing Chen, Chong Lai, Hanlei Hu
Summary: A kinetic model is developed to study the exchange market between two groups of manufacturing enterprises and two types of production factors. Linear kinetic equations are used to describe the evolution of exchanged production factors. The impact of trading strategies on the price of production factors and the profit of manufacturing enterprises is explored. Simulation experiments demonstrate the influence of trading strategies and output elasticity coefficient on the final price of production factors.
COMPUTATIONAL ECONOMICS
(2023)
Article
Biology
Nadia Loy, Luigi Preziosi
JOURNAL OF MATHEMATICAL BIOLOGY
(2020)
Article
Biology
Nadia Loy, Luigi Preziosi
Summary: This article investigates the stability of a non-local kinetic model proposed by Loy & Preziosi (2020a) under different parameters and sensing kernel conditions. It is found that for Dirac delta sensing kernels, the homogeneous configuration is linearly unstable, while for a uniform sensing kernel, the most unstable wavelength can match the numerical solution of the kinetic equation.
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA
(2021)
Article
Mathematics, Applied
N. Loy, T. Hillen, K. J. Painter
Summary: Cells and organisms follow aligned structures in their environment, generating persistent migration paths. This study relaxes the assumption of a constant turning rate and considers the variation of the turning rate according to the anisotropy of the environment. The inclusion of orientation dependence in the turning rate can lead to persistence of motion and enhanced diffusion in structured domains.
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
(2022)
Article
Biology
Martina Conte, Nadia Loy
Summary: Cells can detect external stimuli and exhibit directed motion, which is crucial for cell migration and guidance. Researchers propose a kinetic model for cell migration, considering the simultaneous influence of two external factors on cell polarization: contact guidance and chemotaxis. They also investigate the impact of cell size on overall behavior by recovering the appropriate macroscopic limit in different regimes. Numerical integration of kinetic transport equations is used to explore various scenarios, and experimental results regarding the influence of topographical and chemical cues on cell motility are reproduced.
BULLETIN OF MATHEMATICAL BIOLOGY
(2022)
Article
Computer Science, Interdisciplinary Applications
Nadia Loy, Mattia Zanella
Summary: In this work, an extension of a structure-preserving numerical scheme for nonlinear Fokker-Planck-type equations to handle nonconstant full diffusion matrices in a two-dimensional setting is considered. The proposed schemes are shown to preserve fundamental structural properties such as non-negativity of the solution and entropy dissipation, with at least second order accuracy in transient regimes and potentially high order accuracy for large times under certain conditions. Suitable numerical tests are presented to confirm the theoretical results.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Multidisciplinary Sciences
Nadia Loy, Matteo Raviola, Andrea Tosin
Summary: In this paper, a Boltzmann-type kinetic description for opinion formation on social networks is proposed, taking into account a general connectivity distribution of the individuals. The structure of the social network is described statistically, and it is found that a non-zero correlation between the initial opinions and the connectivity of the individuals is necessary to observe a polarization switch.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Biology
Rossella Della Marca, Nadia Loy, Marco Menale
Summary: In the field of mathematical epidemiology, there is a growing interest in understanding the complex relationship between human behavior and the spread of diseases. This paper presents a method to model behavioral changes in epidemic spread using kinetic equations derived from a stochastic particle description. The model considers a susceptible-infected-removed-like framework where contact rates are influenced by the behavioral patterns adopted by the population. The selection of social behavior is driven by an imitation game dynamics during interactions between individuals with alternative strategies.
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA
(2023)
Article
Biology
N. Loy, L. Preziosi
Summary: Experiments have shown that when cells in a monolayer cultured on an elastic substratum undergo cyclic stretch, they tend to reorient either perpendicular or at an oblique angle to the main stretching direction. However, due to random effects, the distribution of angles achieved by the cells is broader, typically ranging from 0° to 90°. In this study, Fokker-Planck equations derived from microscopic rules are used to determine the evolution and stationary state of probability density functions that describe the statistical distribution of cell orientations. The results obtained through time integration and the stationary state of the Fokker-Planck equation closely match experimental results, validating the model.
BULLETIN OF MATHEMATICAL BIOLOGY
(2023)
Article
Biology
Rossella Della Marca, Nadia Loy, Andrea Tosin
Summary: In this work, a new susceptible-infectious-recovered epidemic model is proposed to investigate the role of individuals' viral load in disease transmission. The macroscopic model reveals that the rate of disease transmission is influenced by the mean viral load of the infectious population. Analytical and numerical investigations are conducted to compare the case of linearly dependent transmission rate on viral load with the classical case of constant transmission rate. Stability and bifurcation theory are applied for qualitative analysis.
JOURNAL OF MATHEMATICAL BIOLOGY
(2023)
Article
Mathematics, Interdisciplinary Applications
Rossella Della Marca, Nadia Loy, Andrea Tosin
Summary: This study investigates the impact of viral load on the transmission and progression of epidemics from a theoretical perspective. A stochastic particle model is proposed to describe infection transmission and individual physiological processes of the disease. Evolution equations for the distribution of viral load in each compartment are derived, and macroscopic equations for densities and viral load momentum are obtained through upscaling procedures. The results can be used for quantitative analysis of the macroscopic dynamics of epidemics.
NETWORKS AND HETEROGENEOUS MEDIA
(2022)
Article
Mathematics, Applied
Nadia Loy, Andrea Tosin
Summary: This paper proposes a Boltzmann-type kinetic description of mass-varying interacting multi-agent systems, deriving general kinetic equations and analyzing a model for infectious disease contagion.
KINETIC AND RELATED MODELS
(2021)
Article
Mathematical & Computational Biology
Nadia Loy, Andrea Tosin
Summary: In this paper, a kinetic model of infectious disease spread on a network is proposed, with a focus on the density and viral load of individuals. The analysis includes examining trends over time, such as outbreak or eradication, as well as investigating the impact of confinement measures on disease diffusion.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Mathematics, Applied
Nadia Loy, Andrea Tosin
COMMUNICATIONS IN MATHEMATICAL SCIENCES
(2020)
Article
Mathematics, Applied
Nadia Loy, Luigi Preziosi
KINETIC AND RELATED MODELS
(2020)
Article
Mathematics, Applied
Melanie Kobras, Valerio Lucarini, Maarten H. P. Ambaum
Summary: In this study, a minimal dynamical system derived from the classical Phillips two-level model is introduced to investigate the interaction between eddies and mean flow. The study finds that the horizontal shape of the eddies can lead to three distinct dynamical regimes, and these regimes undergo transitions depending on the intensity of external baroclinic forcing. Additionally, the study provides insights into the continuous or discontinuous transitions of atmospheric properties between different regimes.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Shu-hong Xue, Yun-yun Yang, Biao Feng, Hai-long Yu, Li Wang
Summary: This research focuses on the robustness of multiplex networks and proposes a new index to measure their stability under malicious attacks. The effectiveness of this method is verified in real multiplex networks.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Julien Nespoulous, Guillaume Perrin, Christine Funfschilling, Christian Soize
Summary: This paper focuses on optimizing driver commands to limit energy consumption of trains under punctuality and security constraints. A four-step approach is proposed, involving simplified modeling, parameter identification, reformulation of the optimization problem, and using evolutionary algorithms. The challenge lies in integrating uncertainties into the optimization problem.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Alain Bourdier, Jean-Claude Diels, Hassen Ghalila, Olivier Delage
Summary: In this article, the influence of a turbulent atmosphere on the growth of modulational instability, which is the cause of multiple filamentation, is studied. It is found that considering the stochastic behavior of the refractive index leads to a decrease in the growth rate of this instability. Good qualitative agreement between analytical and numerical results is obtained.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Ling An, Liming Ling, Xiaoen Zhang
Summary: In this paper, an integrable fractional derivative nonlinear Schrodinger equation is proposed and a reconstruction formula of the solution is obtained by constructing an appropriate Riemann-Hilbert problem. The explicit fractional N-soliton solution and the rigorous verification of the fractional one-soliton solution are presented.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Carlos A. Pires, David Docquier, Stephane Vannitsem
Summary: This study presents a general theory for computing information transfers in nonlinear stochastic systems driven by deterministic forcings and additive and/or multiplicative noises. It extends the Liang-Kleeman framework of causality inference to nonlinear cases based on information transfer across system variables. The study introduces an effective method called the 'Causal Sensitivity Method' (CSM) for computing the rates of Shannon entropy transfer between selected causal and consequential variables. The CSM method is robust, cheaper, and less data-demanding than traditional methods, and it opens new perspectives on real-world applications.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Feiting Fan, Minzhi Wei
Summary: This paper focuses on the existence of periodic and solitary waves for a quintic Benjamin-Bona-Mahony (BBM) equation with distributed delay and diffused perturbation. By transforming the corresponding traveling wave equation into a three-dimensional dynamical system and applying geometric singular perturbation theory, the existence of periodic and solitary waves are established. The uniqueness of periodic waves and the monotonicity of wave speed are also analyzed.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Wangbo Luo, Yanxiang Zhao
Summary: We propose a generalized Ohta-Kawasaki model to study the nonlocal effect on pattern formation in binary systems with long-range interactions. In the 1D case, the model displays similar bubble patterns as the standard model, but Fourier analysis reveals that the optimal number of bubbles for the generalized model may have an upper bound.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Corentin Correia, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas
Summary: The emergence of clustering of rare events is due to periodicity, where fast returns to target sets lead to a bulk of high observations. In this research, we explore the potential of a new mechanism to create clustering of rare events by linking observable functions to a finite number of points belonging to the same orbit. We show that with the right choice of system and observable, any given cluster size distribution can be obtained.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Enyu Fan, Changpin Li
Summary: This paper numerically studies the Allen-Cahn equations with different kinds of time fractional derivatives and investigates the influences of time derivatives on the solutions of the considered models.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Yuhang Zhu, Yinghao Zhao, Chaolin Song, Zeyu Wang
Summary: In this study, a novel approach called Time-Variant Reliability Updating (TVRU) is proposed, which integrates Kriging-based time-dependent reliability with parallel learning. This method enhances risk assessment in complex systems, showcasing exceptional efficiency and accuracy.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Chiara Cecilia Maiocchi, Valerio Lucarini, Andrey Gritsun, Yuzuru Sato
Summary: The predictability of weather and climate is influenced by the state-dependent nature of atmospheric systems. The presence of special atmospheric states, such as blockings, is associated with anomalous instability. Chaotic systems, like the attractor of the Lorenz '96 model, exhibit heterogeneity in their dynamical properties, including the number of unstable dimensions. The variability of unstable dimensions is linked to the presence of finite-time Lyapunov exponents that fluctuate around zero. These findings have implications for understanding the structural stability and behavior modeling of high-dimensional chaotic systems.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Christian Klein, Goksu Oruc
Summary: A numerical study on the fractional Camassa-Holm equations is conducted to construct smooth solitary waves and investigate their stability. The long-time behavior of solutions for general localized initial data from the Schwartz class of rapidly decreasing functions is also studied. Additionally, the appearance of dispersive shock waves is explored.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Vasily E. Tarasov
Summary: This paper extends the standard action principle and the first Noether theorem to consider the general form of nonlocality in time and describes dissipative and non-Lagrangian nonlinear systems. The general fractional calculus is used to handle a wide class of nonlocalities in time compared to the usual fractional calculus. The nonlocality is described by a pair of operator kernels belonging to the Luchko set. The non-holonomic variation equations of the Sedov type are used to describe the motion equations of a wide class of dissipative and non-Lagrangian systems. Additionally, the equations of motion are considered not only with general fractional derivatives but also with general fractional integrals. An application example is presented.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
