63 citations · 95 across the 5 of their papers we have counts for
6 papers
Bone Remodeling as a Spatial Evolutionary Game
Marc D. Ryser, Kevin A. Murgas
Bone remodeling is a complex process involving cell-cell interactions, biochemical signaling and mechanical stimuli. Early models of the biological aspects of remodeling were non-s…
Multifocality and recurrence risk: a quantitative model of field cancerization
Jasmine Foo, Kevin Leder, Marc Ryser
Primary tumors often emerge within genetically altered fields of premalignant cells that appear histologically normal but have a high chance of progression to malignancy. Clinical…
Triviality of the 2D stochastic Allen-Cahn equation
Martin Hairer, Marc D. Ryser, Hendrik Weber
We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independen…
The cellular dynamics of bone remodeling: a mathematical model
Marc Ryser, Svetlana V. Komarova, Nilima Nigam
The mechanical properties of vertebrate bone are largely determined by a process which involves the complex interplay of three different cell types. This process is called {\it bon…
On the well-posedness of the stochastic Allen-Cahn equation in two dimensions
Marc D. Ryser, Nilima Nigam, Paul F. Tupper
White noise-driven nonlinear stochastic partial differential equations (SPDEs) of parabolic type are frequently used to model physical and biological systems in space dimensions d…
Thermal quantum electrodynamics of nonrelativistic charged fluids
Pascal R. Buenzli, Philippe A. Martin, Marc D. Ryser
The theory relevant to the study of matter in equilibrium with the radiation field is thermal quantum electrodynamics (TQED). We present a formulation of the theory, suitable for n…