67 citations · 81 across the 5 of their papers we have counts for
5 papers
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…
Iterative scheme for solving optimal transportation problems arising in reflector design
Tilmann Glimm, Nick Henscheid
We consider the geometric optics problem of finding a system of two reflectors that transform a spherical wavefront into a beam of parallel rays with prescribed intensity distribut…
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…
Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description
Mark Alber, Nan Chen, Tilmann Glimm +1
The Cellular Potts Model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation of the slime mold Dictyostelium disc…
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…