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.
he reverse engineering of biological networks is an important andinteresting problem. Two examples of such networks are generegulatory networks, and the relationship of voxels in the brain. Wedescribe a method for determining possible 'wiring diagrams' for suchnetworks. The method is based on computational algebra, and a keypart of the method us...
Creator:
Stillman, Michael E. (Cornell University)
Created:
2006-09-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
After presenting some (personal) history of Macaulay/Macaulay2, we will use Macaulay2 to investigate a couple of problems, the first one being: what kinds of invariants (e.g. regularity, graded Betti numbers) are possible for ideals generated by small numbers of quadrics. This is a good problem to see some of what can be done with Macaulay2 and ...
Creator:
Stillman, Michael (Cornell University)
Created:
2019-07-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.