Towards a multiscale vision of active particles

The aim of this paper is first to provide a presentation of the papers published in a special issue devoted to modeling, qualitative analysis, control and simulations of large systems of living ent...

[1]  Seung‐Yeal Ha,et al.  Emergent behaviors of continuous and discrete thermomechanical Cucker–Smale models on general digraphs , 2018, Mathematical Models and Methods in Applied Sciences.

[2]  R. Thaler.  Behavioral Economics: Past, Present and Future , 2016 .

[3]  E. Zuazua,et al.  Dynamics and control for multi-agent networked systems: A finite-difference approach , 2019, Mathematical Models and Methods in Applied Sciences.

[4]  Seung‐Yeal Ha,et al.  A quest toward a mathematical theory of the dynamics of swarms , 2017 .

[5]  Andrea L. Bertozzi,et al.  Efficient numerical methods for multiscale crowd dynamics with emotional contagion , 2017 .

[6]  N. Vauchelet,et al.  From kinetic theory of multicellular systems to hyperbolic tissue equations: Asymptotic limits and computing , 2016, Mathematical Models and Methods in Applied Sciences.

[7]  Giuseppe Toscani,et al.  Human behavior and lognormal distribution. A kinetic description , 2018, Mathematical Models and Methods in Applied Sciences.

[8]  Nicola Bellomo,et al.  Modeling behavioral social systems , 2017 .

[9]  Jie Li,et al.  A Landscape of Crowd-management Support: An Integrative Approach , 2016 .

[10]  Axel Klar,et al.  Higher-order models for glioma invasion: From a two-scale description to effective equations for mass density and momentum , 2018, Mathematical Models and Methods in Applied Sciences.

[11]  Juan Soler,et al.  Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models , 2016, 1611.00743.

[12]  E. Zuazua,et al.  Allee optimal control of a system in ecology , 2018, Mathematical Models and Methods in Applied Sciences.

[13]  P. Niyogi,et al.  Computational and evolutionary aspects of language , 2002, Nature.

[14]  B. Piccoli,et al.  Mean-field sparse Jurdjevic-Quinn control , 2017, 1701.01316.

[15]  Giacomo Albi,et al.  Leader formation with mean-field birth and death models , 2018, Mathematical Models and Methods in Applied Sciences.

[16]  D. Knopoff,et al.  FROM THE MODELING OF THE IMMUNE HALLMARKS OF CANCER TO A BLACK SWAN IN BIOLOGY , 2013 .

[17]  N. Bellomo,et al.  A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up , 2016, 1605.01924.

[18]  L. Segel,et al.  Model for chemotaxis. , 1971, Journal of theoretical biology.

[19]  Giovanni Dosi,et al.  On the robustness of the fat-tailed distribution of firm growth rates: a global sensitivity analysis , 2016 .

[20]  Nicola Bellomo,et al.  Mathematical models of self-propelled particles , 2017 .

[21]  M Dolfin,et al.  Modeling human behavior in economics and social science. , 2017, Physics of life reviews.

[22]  Felipe Cucker,et al.  Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.

[23]  Andrea Bertozzi,et al.  Crime modeling with truncated Lévy flights for residential burglary models , 2018, Mathematical Models and Methods in Applied Sciences.

[24]  G. Parisi,et al.  Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study , 2007, Proceedings of the National Academy of Sciences.

[25]  Gero Vogl,et al.  Quantifying the driving factors for language shift in a bilingual region , 2017, Proceedings of the National Academy of Sciences.

[26]  D. Hanahan,et al.  The Hallmarks of Cancer , 2000, Cell.

[27]  K. Painter,et al.  A User's Guide to Pde Models for Chemotaxis , 2022 .

[28]  Giuseppe Toscani,et al.  Call center service times are lognormal: A Fokker–Planck description , 2018, Mathematical Models and Methods in Applied Sciences.

[29]  N. Bellomo,et al.  Challenges in active particles methods: Theory and applications , 2018 .

[30]  Christina Surulescu,et al.  On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation , 2017 .

[31]  Nicola Bellomo,et al.  On the interplay between behavioral dynamics and social interactions in human crowds , 2017, Kinetic & Related Models.

[32]  Giacomo Albi,et al.  Pressureless Euler alignment system with control , 2018, Mathematical Models and Methods in Applied Sciences.

[33]  D. Burini,et al.  Collective learning modeling based on the kinetic theory of active particles. , 2016, Physics of life reviews.

[34]  D. Burini,et al.  A multiscale view of nonlinear diffusion in biology: From cells to tissues , 2019, Mathematical Models and Methods in Applied Sciences.

[35]  A. Bellouquid,et al.  Kinetic models of chemotaxis towards the diffusive limit: asymptotic analysis , 2016 .

[36]  Lorenzo Pareschi,et al.  Kinetic description of optimal control problems and applications to opinion consensus , 2014, 1401.7798.

[37]  J. Soler,et al.  Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models , 2018, Mathematical Models and Methods in Applied Sciences.

[38]  J. Hopfield,et al.  From molecular to modular cell biology , 1999, Nature.

[39]  Nicola Bellomo,et al.  Stochastic Evolving Differential Games Toward a Systems Theory of Behavioral Social Dynamics , 2015, 1506.05699.

[40]  D. Burini,et al.  Hilbert method toward a multiscale analysis from kinetic to macroscopic models for active particles , 2017 .

[41]  R. Pinnau,et al.  A consensus-based model for global optimization and its mean-field limit , 2016, 1604.05648.

[42]  Nastassia Pouradier Duteil,et al.  Social dynamics models with time-varying influence , 2019, Mathematical Models and Methods in Applied Sciences.