123 citations · 165 across the 7 of their papers we have counts for
8 papers
Parameter identification in a structured population model
Alexander Lorz, Jan-Frederik Pietschmann, Matthias Schlottbom
We study parameter identification problems in a structured population model without mutations. Given measurements of the total population size or critical points of the population,…
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
Camille Pouchol, Jean Clairambault, Alexander Lorz +1
We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic…
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth
Martin Burger, Alexander Lorz, Marie-Therese Wolfram
In this paper we study balanced growth path solutions of a Boltzmann mean field game model proposed by Lucas et al [13] to model knowledge growth in an economy. Agents can either i…
On a Boltzmann mean field model for knowledge growth
Martin Burger, Alexander Lorz, Marie-Therese Wolfram
In this paper we analyze a Boltzmann type mean field game model for knowledge growth, which was proposed by Lucas and Moll. We discuss the underlying mathematical model, which cons…
Long-term analysis of phenotypically structured models
Alexander Lorz, Benoit Perthame
Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually le…
Effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors
Alexander Lorz, Tommaso Lorenzi, Jean Clairambault +2
Histopathological evidence supports the idea that the emergence of phenotypic heterogeneity and resistance to cytotoxic drugs can be considered as a process of adaptation, or evolu…