Abstract
Many fundamental biological processes, such as telomere dynamics during DNA replication or the polymerization, depolymerization and fragmentation of protein fibers, are naturally modeled by countable systems of differential equations. Approximating these systems by continuous variables enables us to study the asymptotic behavior of the solutions and to obtain error estimates for the inverse problems that arise—reconstruction of initial conditions or identification of kinetic parameters. This talk will present several such approaches, inspired by recent applications in microbiology.
