Latest Articles for Mathematical Modeling

Numerical Analysis Navigating the Challenges of Fluid Dynamics

A look at the complexities of predicting fluid behaviors over time.

Alfred S. Carasso

2025-05-07T07:44:56+00:00 ― 7 min read

Adaptation and Self-Organizing Systems Swarmalators: Synchronization and Interaction Dynamics

Study of swarmalators reveals new states in collective movement and interaction.

Gourab Kumar Sar, Kevin O'Keeffe, Dibakar Ghosh

2025-05-07T05:08:56+00:00 ― 6 min read

Pattern Formation and Solitons Theta Neurons: A Dance of Synchronicity and Delay

Explore the rhythmic behavior of theta neurons and their interactions.

Carlo R. Laing, Bernd Krauskopf

2025-05-06T19:45:19+00:00 ― 7 min read

Analysis of PDEs The Dynamics of Rabbit Populations through Perturbations

Analyzing how small changes affect rabbit populations using the Fisher-KPP equation.

David John Needham, John Billingham

2025-05-06T07:55:48+00:00 ― 6 min read

Quantitative Methods Connecting Living Systems Through Graphs

A new method uses graphs to compare models of self-organization in living systems.

Emmy Brown, Sean T. Vittadello

2025-05-04T21:30:14+00:00 ― 7 min read

Numerical Analysis Solving Complex Problems with Numerical Methods

Breaking down equations in science and engineering for clearer answers.

Marcin Łoś, Tomasz Służalec, Maciej Paszyński

2025-05-04T11:05:40+00:00 ― 7 min read

Quantum Physics The Dance of Quantum Systems: Chaos and Control

A look into the strange interactions of open quantum systems.

Zhao-Ming Wang, S. L. Wu, Mark S. Byrd

2025-05-01T07:59:00+00:00 ― 7 min read

Systems and Control A New Approach to Controlling Dynamic Systems

Introducing a safety filtering framework for effective boundary control in dynamic systems.

Hanjiang Hu, Changliu Liu

2025-05-01T02:56:30+00:00 ― 8 min read

Optimization and Control Improving Energy Storage Efficiency Through New Models

New models enhance energy storage decision-making and operational efficiency.

Maaike B. Elgersma, Germán Morales-España, Karen I. Aardal

2025-04-30T16:01:20+00:00 ― 5 min read

Computational Complexity Decision Making in Uncertain Environments: POMDPs Explained

Discover how POMDPs model decision-making with uncertainty and their real-world applications.

Ali Asadi, Krishnendu Chatterjee, Raimundo Saona

2025-04-28T03:48:30+00:00 ― 6 min read

Numerical Analysis Analyzing Wave Movements with a Compact Method

A method for solving Sobolev-type equations to study wave behaviors effectively.

Lavanya V Salian, Samala Rathan, Rakesh Kumar

2025-04-26T17:18:00+00:00 ― 6 min read

Biophysics Modeling Epithelial Layers and Their Dynamics

Research focuses on how epithelial layers interact with their supporting stroma.

James Mark Osborne, P. J. Brown, J. E. F. Green

2025-04-21T18:29:36+00:00 ― 6 min read

Dynamical Systems Waves of Activity in the Brain

Exploring the dynamics of traveling waves in neural networks.

Safaa Habib, Romain Veltz

2025-04-16T05:07:46+00:00 ― 7 min read

Computational Physics Navigating the Chaos: Understanding Lorenz Equations

Explore how modified algorithms help decode chaotic systems like the Lorenz equations.

Andre N. Souza, Simone Silvestri

2025-04-11T01:24:14+00:00 ― 6 min read

Analysis of PDEs Battling Tumors: The Immune System's Game

Explore how constraints shape tumor growth and immune responses.

Kevin Atsou, Thierry Goudon, Pierre-Emmanuel Jabin

2025-04-08T12:38:20+00:00 ― 7 min read

Systems and Control Advancing Fuzzy General Grey Cognitive Maps

Discover the latest developments in fuzzy cognitive maps and their real-world applications.

Xudong Gao, Xiaoguang Gao, Jia Rong

2025-04-05T05:25:48+00:00 ― 7 min read

Numerical Analysis New Modeling Techniques for Optical Waveguides

Researchers improve light pulse modeling in optical waveguides, enhancing telecommunications and medical tools.

Ankit Chakraborty, Judit Munoz-Matute, Leszek Demkowicz

2025-04-03T12:45:50+00:00 ― 9 min read

Cell Behavior The Go-or-Grow Dilemma in Cancer Cells

Examining how tumor cells choose between migrating and growing.

R. Thiessen, M. Conte, T. L. Stepien

2025-04-02T06:48:12+00:00 ― 7 min read

Fluid Dynamics The Dance of Fluids: Mixing and Chaos

Discover how chaotic flows mix particles in rivers, oceans, and bodies.

Daniel R. Lester, Michael G. Trefry, Guy Metcalfe

2025-04-02T04:02:46+00:00 ― 6 min read

Mathematical Physics Unraveling Splitting Gibbs Measures on Cayley Trees

Discover how statistical models reveal system behaviors through splitting Gibbs measures.

R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov

2025-03-26T19:59:20+00:00 ― 6 min read

Methodology Robust Regression: A New Approach to Reliable Data Insights

Discover how robust regression enhances data analysis for better predictions.

Saptarshi Chakraborty, Kshitij Khare, George Michailidis

2025-03-18T21:37:15+00:00 ― 7 min read

High Energy Physics - Theory The Fascinating World of Domain Walls

Explore the unique behaviors of domain walls and their impact on physics.

F. C. E. Lima

2025-03-17T05:54:46+00:00 ― 7 min read

Systems Biology Harnessing Universal Differential Equations in Systems Biology

Explore the transformative role of UDEs in biological modeling.

Maren Philipps, Nina Schmid, Jan Hasenauer

2025-03-16T05:56:18+00:00 ― 7 min read

Analysis of PDEs The Dynamic World of Cell Behavior

Discover how cells move and interact in complex environments.

José A. Carrillo, Tommaso Lorenzi, Fiona R. Macfarlane

2025-03-16T05:13:20+00:00 ― 5 min read

High Energy Physics - Phenomenology Decoding the Balitsky-Kovchegov Equation at Next-to-Leading Order

A deep dive into the significance of NLO solutions in particle physics.

J. Cepila, J. G. Contreras, M. Matas

2025-03-15T04:33:14+00:00 ― 7 min read

Machine Learning Calibrating Models for Pandemic Predictions

Learn how model calibration can improve disease spread predictions.

Puhua Niu, Byung-Jun Yoon, Xiaoning Qian

2025-03-09T08:44:00+00:00 ― 5 min read

Chaotic Dynamics The Dance of Rulkov Neurons: A Choreography of Chaos

Discover how linked Rulkov neurons create diverse behaviors through their unique interactions.

Brandon B. Le

2025-03-08T08:32:08+00:00 ― 5 min read

Statistical Mechanics Balancing Resources in Networks with Smart Strategies

Learn how resetting protocols can evenly distribute resources in complex networks.

Francesco Coghi, Kristian Stølevik Olsen

2025-03-05T18:27:30+00:00 ― 8 min read

High Energy Physics - Theory Unpacking Melonic Conformal Field Theories

A look into the fascinating world of melonic CFTs and their significance.

Ludo Fraser-Taliente, John Wheater

2025-03-05T04:07:42+00:00 ― 5 min read

A fresh perspective on how particles with spin operate in two dimensions.

Zsolt Gulacsi

2025-03-02T16:25:12+00:00 ― 6 min read

Analysis of PDEs Unlocking the Secrets of Plasma Physics

A deep dive into the Vlasov-Poisson system and its role in plasma behavior.

Wenrui Huang, Benoît Pausader, Masahiro Suzuki

2025-02-27T08:18:40+00:00 ― 8 min read

Analysis of PDEs Unraveling Two-Phase Flow Dynamics

Dive into the exciting world of two-phase fluid interactions and modeling methods.

Jens Keim, Hasel-Cicek Konan, Christian Rohde

2025-02-25T20:59:02+00:00 ― 6 min read

Analysis of PDEs The Dance of Waves: Insights into Turbulence

A look into the complex interactions of wave functions and vortex filaments.

Valeria Banica, Luis Vega

2025-02-16T05:18:56+00:00 ― 6 min read

Mathematical Physics Yang-Mills Theories: A Comprehensive Overview

An introduction to Yang-Mills theories and their significance in particle physics.

Hao Shen, Scott A. Smith, Rongchan Zhu

2025-02-10T11:35:18+00:00 ― 7 min read

Statistics Theory Navigating Complexity: The Adaptive Elastic-Net in Statistical Analysis

Learn how Adaptive Elastic-Net enhances predictions in complex data systems.

Alessandro De Gregorio, Dario Frisardi, Francesco Iafrate

2025-02-01T18:13:12+00:00 ― 6 min read

Quantum Physics Revolutionizing Ground State Energy Calculation with Super-Krylov Method

A new approach to estimating ground state energy in quantum systems.

Adam Byrne, William Kirby, Kirk M. Soodhalter

2025-01-30T17:38:54+00:00 ― 7 min read

General Relativity and Quantum Cosmology The Silent Symphony of Black Holes

Discover the secrets of black holes and their unique vibrations.

Laura Pezzella, Kyriakos Destounis, Andrea Maselli

2025-01-29T12:11:32+00:00 ― 5 min read

Numerical Analysis Understanding Fluid Flow in Curved Spaces

A look into how fluids behave in complex shapes using mathematics.

Yongli Hou, Yanqiu Wang

2025-01-29T09:02:10+00:00 ― 6 min read

Optimization and Control The SEIR-HCD Model: A Guide to COVID-19 Spread

Learn how the SEIR-HCD model helps understand and manage COVID-19 transmission.

Olga Krivorotko, Tatiana Zvonareva, Andrei Neverov

2025-01-29T05:32:16+00:00 ― 8 min read

Analysis of PDEs The Intricate Dance of Cells: Chemotaxis and Gametes

Exploring the connection between chemotaxis and reproductive success in biology.

Crystianne L. De Andrade, Alexander A. Kiselev

2025-01-28T11:43:30+00:00 ― 8 min read