# Modeling Projects

## Social interactions

### - Modeling crowd dynamics

The first two papers describe two-dimensional models of pedestrian dynamics. The third paper is in one space dimension and focuses on model characteristics that reproduce the experimentally measured velocity-density relationship of pedestrian flows.*Macroscopic effects of microscopic forces between agents in crowd models*, by C.M. Henein and T. White,

Physica**A 373**, 694-712 (2007).- Small-grid analysis of discrete model for evacuation from a hall, by W.G. Weng, L.L. Pan, S.F. Shen, and H.Y. Yuan,

Physica**A 374**, 821-826 (2007). *Basics of modelling the pedestrian flow*, by A. Seyfried, B. Steffen, and T. Lippert,

Physica**A 368**, 232-238 (2006).

### - Modeling competition between languages

The first paper describes a stochastic model for the evolution of the distribution of languages. The last 2 papers discuss the Abrams-Strogatz model of competition between languages.*Non-equilibrium and irreversible simulation of competition among languages*, by D. Stauffer, C. Schulze, F.W.S. Lima, S. Wichmann, and S. Solomon,

Physica**A 371**, 719-724 (2006).*Coexistence of Languages is possible*, by J.P. Pinasco and L. Romanelli,

Physica**A 361**, 355-360 (2006).*Microscopic Abrams-Strogatz model of language competition*, by D. Stauffer, X. Castellò, V.M. Eguíluz, and M. San Miguel,

Physica**A 374**, 835-842 (2007).

### - Modeling the dream team

The first link points to a perspective article published in Science. The second link points to the article describing the model of team formation.*Network Theory - the emergence of the creative enterprise*by A.-L. Barabási,

Science**308**, 639-641 (2005).*Team assembly mechanisms determine collaboration network structure and team performance*by R. Guimerà, B. Uzzi, J. Spiro and L.A. Amaral,

Science**308**, 697-702 (2005).

### - Modeling traffic flow

The first paper discusses the building of traffic jams on a single-lane road. The second paper is concerned with a nonlinear map that describes the dynamics of shuttle buses. The third article discusses a car-following model for night driving, and the fourth a car-following model in which the drivers' response time is taken into account.*Jam formation in traffic flow on a highway with some slowdown sections*, by H. Hanaura, T. Nagatani, and K. Tanaka,

Physica**A 374**, 419-430 (2007).*Chaos control and schedule of shuttle buses*, by T. Nagatani,

Physica**A 371**, 683-691 (2006).*The night driving behavior in a car-following model*, by R. Jiang and Q.S. Wu,

Physica**A 375**, 297-306 (2007).*Analysis of car-following model considering driver's physical delay in sensing headway*, by H.B. Zhy and S.Q. Dai,

Physica**A 387**, 3290-3298 (2008).

### - Modeling opinion formation

The first two articles discuss gossip spreading. The third paper analyzes a model for non-conservative voters and reviews other voting models.*The spread of gossip in American schools*, by P.G. Lind, L.R. da Silva, J.S. Andrade, Jr., and H.J. Herrmann,

Europhys. Lett.**78**, 68005 (2007).*Spreading gossip in social networks*, by P.G. Lind, L.R. da Silva, J.S. Andrade, Jr., and H.J. Herrmann,

Phys. Rev.**E 76**, 036117 (2007).*Dynamics of non-conservative voters*, by R. Lambiotte and S. Redner,

Europhysics Lett.**82**, 18007 (2008).

### - Modeling interactive learning

This paper describes a regret-driven model of interactive learning.*Predicting human interactive learning by regret-driven neural networks*, by D. Marchiori and M. Warglien,

Science**319**, 1111-1113 (2008).

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