Article
Operations Research & Management Science
Marcel Nutz, Yuchong Zhang
Summary: In this study, we propose a mean field game model where players stop a privately observed Brownian motion with absorption, and they are rewarded based on their relative rank. We demonstrate the existence of a unique mean field equilibrium and examine the impact of reward distribution on the performance. Additionally, we analyze the quality of the mean field design and its changes in n player games.
MATHEMATICS OF OPERATIONS RESEARCH
(2022)
Article
Mathematics, Applied
Irina Bashkirtseva, Lev Ryashko, Alexander N. Pisarchik
Summary: The study examines stochastic bifurcations and transitions between in-phase and anti-phase dynamics in neural oscillators, revealing the geometry of multiple basins of attraction and confidence areas. Various dynamical regimes of isolated and coupled oscillators are analyzed in both deterministic and stochastic modes.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Ecology
Jurgis Suba, Yukichika Kawata, Andreas Linden
Summary: The Skellam model, which describes the discrete-time population dynamics of a single species assuming random individual distribution and intraspecific contest competition, is rarely applied in ecological research. However, it may be more appropriate than the commonly used Ricker model in certain situations. This article explores the underlying principles of the Skellam model and provides an alternative parameterization using two commonly used parameters: intrinsic rate of population increase and carrying capacity. The article also offers guidelines and software for fitting the Skellam model to discrete population time series data. These findings highlight the potential usefulness of the Skellam model in situations where it has been overlooked.
POPULATION ECOLOGY
(2023)
Article
Green & Sustainable Science & Technology
Antonio Osorio, Mimi Zhang
Summary: This paper presents two novel contest-based subsidy mechanisms and evaluates their effectiveness in terms of firms' environmental investments, profits, consumer and producer surplus, environmental damage, and social welfare. The study found that the PGF subsidy mechanism is more effective in promoting investments in product green features and increasing consumer surplus. However, the ABA subsidy mechanism is more effective in industries or technologies with relatively low emissions.
JOURNAL OF CLEANER PRODUCTION
(2022)
Article
Ecology
Otso Ovaskainen, Panu Somervuo, Dmitri Finkelshtein
Summary: Studying the persistence and extinction probability of populations is a fundamental issue in ecology. The research introduces new mathematical and simulation-based methods for deriving extinction thresholds and other critical phenomena.
METHODS IN ECOLOGY AND EVOLUTION
(2021)
Article
Operations Research & Management Science
David Iliaev, Sigal Oren, Ella Segev
Summary: This article studies a cyber security game between a defender and an attacker, where they choose how to allocate resources for attacking or defending information assets. The probability of a successful attack depends on the investments made by the attacker and defender. The article compares sequential and simultaneous game scenarios, analyzing the players' strategies and equilibria. It provides an upper bound on the reduction in defender's costs achieved by transitioning from a simultaneous to a sequential game.
ANNALS OF OPERATIONS RESEARCH
(2023)
Article
Optics
Linian Wang, Yinghong Cao, Hadi Jahanshahi, Zhisen Wang, Jun Mou
Summary: In this paper, a color image encryption algorithm is presented, which utilizes double-layer Joseph's scramble, XOR diffusion, and is built on a laser chaos system. The algorithm shows good practicality and security performance based on simulation results and security analysis. The proposed scheme provides better technical support for the wide applications of image encryption.
Article
Biochemical Research Methods
Luca Del Core, Danilo Pellin, Ernst C. Wit, Marco A. Grzegorczyk
Summary: This study proposes a stochastic framework to infer dynamic models of cell differentiation from clonal tracking data, which outperforms the state-of-the-art in gene therapy research and can scale to complex structures. The method provides statistical support for biologists and clinicians to better understand cell differentiation and hematopoietic reconstitution after gene therapy treatment.
Article
Environmental Sciences
Cian Kelly, Finn Are Michelsen, Jeppe Kolding, Morten Omholt Alver
Summary: This article presents an individual-based model that simulates the spawning migration of Norwegian spring spawning herring and predicts their distribution and abundance in the Norwegian Sea. The model is validated against observation data and coupled with a physical oceanographic model. The model captures the observed characteristics of the spawning migration.
FRONTIERS IN MARINE SCIENCE
(2022)
Article
Biotechnology & Applied Microbiology
Jin Jin, Bin Jia, Ying-Jin Yuan
Summary: This study developed a method, called CNAS, to increase astaxanthin biosynthesis in yeast by generating both structure variations and nucleotide variations. The method resulted in significant improvements in astaxanthin yield by different genotypes in yeast. Genetic analysis also revealed a relationship between genotypes and phenotypes in astaxanthin production.
MICROBIAL CELL FACTORIES
(2022)
Article
Computer Science, Cybernetics
Jiawen Liang, Qi Gao, Wenmin Li, Yanwei Shi, Mowei Shen, Zaifeng Gao
Summary: This research investigates the relationship between driver's personality and dispositional as well as history-based trust in automated driving (AD). The results reveal that personality has different effects on the two types of trust.
INTERNATIONAL JOURNAL OF HUMAN-COMPUTER INTERACTION
(2023)
Article
Physics, Mathematical
O. Ali Mogharrabi, V. Behrooz Fathi, M. H. Behzadi, R. Farnoosh
Summary: This article introduces a new version of scrambled Faure sequence based on irrational numbers, proving its success in generating random number sequences and estimating test integrals. By defining a scrambling matrix and a new form of radical inverse function, the sequence achieves a better close uniform distribution and more accurate and efficient estimation compared to previous sequences.
ADVANCES IN MATHEMATICAL PHYSICS
(2021)
Article
Chemistry, Analytical
Hui Chen, Bin Huang, Kong Fah Tee, Bo Lu
Summary: This paper introduces a new stochastic model updating method that combines the stochastic hybrid perturbation-Galerkin method with the ICMCM technique to address model updating problems with limited measurement data and uncertain measurement errors. The method shows significant improvement in computational efficiency compared to the Monte Carlo simulation method and achieves more accurate results when dealing with rank deficiency. Experimental results demonstrate the practical significance of the updated coefficients in updating structural stiffness and mass.
Article
Construction & Building Technology
Jingran He, Ruofan Gao, Zhiyi Tang
Summary: This paper proposes a data-driven multi-scale constitutive model for representing the mechanical behavior of concrete material. The model is trained using multiple sets of experimental data and validated through cross validation, demonstrating its robustness and accuracy.
CONSTRUCTION AND BUILDING MATERIALS
(2022)
Article
Multidisciplinary Sciences
Joseph Aylett-Bullock, Carolina Cuesta-Lazaro, Arnau Quera-Bofarull, Miguel Icaza-Lizaola, Aidan Sedgewick, Henry Truong, Aoife Curran, Edward Elliott, Tristan Caulfield, Kevin Fong, Ian Vernon, Julian Williams, Richard Bower, Frank Krauss
Summary: June is an open-source framework for detailed simulation of epidemics based on social interactions in a virtual population, with flexible parameterization. The paper applies June to model the spread of COVID-19 in England, discussing the quality of initial model outputs.
ROYAL SOCIETY OPEN SCIENCE
(2021)
Article
Statistics & Probability
Tobias Siems, Marc Hellmuth, Volkmar Liebscher
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS
(2019)
Article
Biology
Niclas Kruff, Christian Lax, Volkmar Liebscher, Sebastian Walcher
JOURNAL OF MATHEMATICAL BIOLOGY
(2019)
Article
Mathematics, Applied
Juergen Scheurle, Sebastian Walcher
ACTA APPLICANDAE MATHEMATICAE
(2019)
Article
Mathematics
Colin Christopher, Jaume Llibre, Chara Pantazi, Sebastian Walcher
JOURNAL OF DIFFERENTIAL EQUATIONS
(2019)
Article
Mathematics, Applied
Niclas Kruff, Christian Schilli, Sebastian Walcher, Eva Zerz
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2020)
Article
Mathematics
Sebastian Walcher, Xiang Zhang
Summary: This study focuses on the fundamental properties of autonomous polynomial differential equations over the quaternions H, with a specialization on quaternionic differential equations with coefficients in C subset of H. Detailed characterization and discussion are provided on the class of equations, including their stationary points and periodic orbits. An application of the theory is demonstrated through the investigation of dynamics of generic quadratic systems and quaternionic Riccati differential equations with complex coefficients, leading to the discovery of a new type of Liouville-Arnold integrable system.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Mathematics, Applied
Niclas Kruff, Christoph Lueders, Ovidiu Radulescu, Thomas Sturm, Sebastian Walcher
Summary: This study presents a symbolic algorithmic approach for computing invariant manifolds and corresponding reduced systems for differential equations modeling biological networks, with applications in cellular biochemistry, pharmacology, epidemiology, and ecology. The reduction method is mathematically justified within a singular perturbation setting and utilizes scaling based on tropical geometry. The algorithmic test proposed for the existence of invariant manifolds is based on Hurwitz criteria.
MATHEMATICS IN COMPUTER SCIENCE
(2021)
Article
Mathematics, Applied
Elisenda Feliu, Christian Lax, Sebastian Walcher, Carsten Wiuf
Summary: This paper provides a thorough discussion on the quasi-steady state (QSS) reduction method and its relation to singular perturbation reduction. It focuses on the case where the right-hand side of the differential equation is linear in the variables to be eliminated. Necessary and sufficient conditions for the existence of singular perturbation reduction, in accordance with QSS reduction, are given. The results are applied to chemical reaction networks, with easy-to-check graphical conditions provided for selecting applicable parameter values.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
(2022)
Article
Mathematics, Applied
Elisenda Feliu, Sebastian Walcher, Carsten Wiuf
Summary: This paper discusses the reduction of dimension in polynomial ordinary differential systems that arise from modelling chemical reaction networks. The parameter conditions for singular perturbation reductions are characterized by turning off reactions or removing certain species.
JOURNAL OF NONLINEAR SCIENCE
(2022)
Article
Biochemical Research Methods
Jan Klosa, Noah Simon, Volkmar Liebscher, Doerte Wittenburg
Summary: In life sciences, high-throughput techniques often result in high-dimensional data with a large number of covariates compared to observations, leading to multicollinearity challenges in linear regression analysis. Penalization methods, such as lasso, ridge regression, and group lasso, have been effective in addressing this issue. This study introduces a novel approach that combines lasso and standardized group lasso to achieve meaningful weighting of predicted outcomes, which is particularly important in breeding populations. The method was evaluated through extensive simulation studies and demonstrated improved prediction abilities and accurate localization of simulated features compared to other penalization approaches.
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
(2023)
Article
Mathematics, Applied
Giuseppe Gaeta, Sebastian Walcher
JOURNAL OF GEOMETRIC MECHANICS
(2020)
Article
Mathematics, Applied
Elisenda Feliu, Niclas Kruff, Sebastian Walcher
JOURNAL OF NONLINEAR SCIENCE
(2020)
Article
Mathematics, Applied
Niclas Kruff, Sebastian Walcher
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
(2020)
Article
Mathematics, Applied
Christian Lax, Sebastian Walcher
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
(2020)
Correction
Statistics & Probability
T. Siems, M. Hellmuth, V Liebscher
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS
(2019)
