6533b862fe1ef96bd12c64f5

RESEARCH PRODUCT

On the modeling of nonlinear interactions in large complex systems

Carlo BiancaNicola BellomoMaria Stella Mongiovì

subject

Non lineariteLiving systems Nonlinearity Functional subsystems Kinetic theory Active particlesApplied MathematicsActive particlesComplex system010103 numerical & computational mathematics01 natural sciencesActive particlesLiving systems010101 applied mathematicsNonlinear systemLiving systemsFunctional subsystems0101 mathematicsKinetic theoryBiological systemComplex systems biologyNonlinearitySettore MAT/07 - Fisica MatematicaAlgorithmMathematics

description

Abstract This work deals with the modeling of large systems of interacting entities in the framework of the mathematical kinetic theory for active particles. The contents are specifically focused on the modeling of nonlinear interactions which is one of the most important issues in the mathematical approach to modeling and simulating complex systems, and which includes a learning–hiding dynamics. Applications are focused on the modeling of complex biological systems and on immune competition.

https://doi.org/10.1016/j.aml.2010.07.001