KNOPOFF Damian Alejandro
congresos y reuniones científicas
Are we in the end of the antibiotic era? A mathematical model for bacterial resistance.
DAMIAN KNOPOFF; JUAN SANCHEZ SANSO
Congreso; VI Congreso de Matemática Aplicada, Computacional e Industrial; 2017
In this talk we present a mathematical model for bacterial growth,mutations, horizontal transfer and development of antibiotic resistance.The model is based on the so-called kinetic theory for active particlesthat is able to capture the main complexity features of the system.Bacterial and immune cells are viewed as active particles whose micro-scopic state is described by a scalar variable. Particles interact amongthem and the temporal evolution of the system is described by a gen-eralized distribution function over the microscopic state. The modelis derived and tested in a couple of case studies in order to confirmits ability to describe one the most fundamental problems of modernmedicine, namely bacterial resistance to antibiotics.