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math.AP2023
Modeling the Interplay of Oscillatory Synchronization and Aggregation via Cell-Cell Adhesion
Tilmann Glimm, Daniel Gruszka
We present a model of systems of cells with intracellular oscillators (`clocks'). This is motivated by examples from developmental biology and from the behavior of organisms on the…
math.AP2009★ 12 cited
A rigorous analysis using optimal transport theory for a two-reflector design problem with a point source
Tilmann Glimm
We consider the following geometric optics problem: Construct a system of two reflectors which transforms a spherical wavefront generated by a point source into a beam of parallel…
math.AP2003★ 2 cited
Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
Tilmann Glimm, Vladimir Oliker
It is shown that the problem of designing a two-reflector system transforming a plane wave front with given intensity into an output plane front with prescribed output intensity ca…