LIP6 2000/008

• Reports «Les équations MICE»
• J.-Ch. Faugère, H. Milena, Ph. Jeff
• 29 pages - 03/20/2000 - document en - http://www.lip6.fr/lip6/reports/2000/lip6.2000.008.ps.gz 112 Ko
• Contact Jean-Charles.Faugere (at) nulllip6.fr
• Ancien Thème : CALFOR
We examine a system of equations arising in biophysics whose solutions are believed to represent the stable positions of N conical proteins embedded in a cell membrane. Symmetry considerations motivate two equivalent refomulations of the system which allow the complete classification of solutions for small N<13. The occurrence of regular geometric patterns in these solutions suggests considering a simpler system, which leads to the detection of solutions for larger N up to 280. We use the most recent techniques of Groebner bases computation for solving non linear systems.