What is life? A perspective of the mathematical kinetic theory of active particles
Nicola Bellomo, Diletta Burini, Giovanni Dosi, Livio Gibelli, Damián Knopoff, Nisrine Outada, Pietro Terna, Maria Enrica Virgillito
Abstract
The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of the kinetic theory of active particles. The presentation is in three parts. First, we derive the mathematical tools, subsequently, we show how the method can be applied to a number of case studies related to well defined living systems, and finally, we look ahead to research perspectives.
Topics & Concepts
Perspective (graphical)Kinetic theoryComputer scienceMathematical theoryKinetic energyPresentation (obstetrics)Mathematical modelStatistical physicsManagement scienceApplied mathematicsMathematicsMathematical economicsTheoretical physicsPhysicsClassical mechanicsArtificial intelligenceStatisticsQuantum mechanicsMedicineRadiologyEconomicsAdvanced Thermodynamics and Statistical MechanicsMathematical Biology Tumor GrowthSlime Mold and Myxomycetes Research