Spreading depression and several other pathological conditions are associated with changes in ion concentrations in the extracellular space (ECS) of the brain. To understand such pathologies, we need to understand the interplay between the mechanisms that govern ECS concentration dynamics. The dynamics of an ion species depends on (i) cellular o...
Creator:
Halnes, Geir (Norwegian University of Life Sciences (NMBU))
Created:
2018-02-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The gastric mucus layer is widely recognized to serve a protective function in the human stomach, shielding the epithelium and the gastric mucosa from the extremely low pH and digestive enzymes present in the stomach lumen. How this gel layer and the extreme pH gradient across it are maintained is not fully understood. Mucus secretion and swelli...
Creator:
Lewis, Owen (The University of Utah)
Created:
2018-03-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Poisson-Nernst-Planck (PNP) equations can be used to describe cellular electrical activity. However, on domains where the space-charge layer is small, these equations are intractable and therefore it is useful to assume that the ionic solution is everywhere electrically neutral. The much more manageable electroneutral model results from a bo...
Creator:
Stinchcombe, Adam (University of Toronto)
Created:
2018-03-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.