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AB
2008
Springer
15 years 3 months ago
Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems
In this paper, we show how to analyze bifurcation and limit cycles for biological systems by using an algebraic approach based on triangular decomposition, Gr¨obner bases, discrim...
Wei Niu, Dongming Wang
AB
2008
Springer
15 years 3 months ago
Investigating Generic Methods to Solve Hopf Bifurcation Problems in Algebraic Biology
Abstract. Symbolic methods for investigating Hopf bifurcation problems of vector fields arising in the context of algebraic biology have recently obtained renewed attention. Howev...
Thomas Sturm, Andreas Weber 0004
DAM
2006
66views more  DAM 2006»
14 years 9 months ago
On the structure of the adjacency matrix of the line digraph of a regular digraph
We show that the adjacency matrix M of the line digraph of a d-regular digraph D on n vertices can be written as M = AB, where the matrix A is the Kronecker product of the all-one...
Simone Severini
AB
2008
Springer
15 years 3 months ago
Local Structure and Behavior of Boolean Bioregulatory Networks
Abstract. A well-known discrete approach to modeling biological regulatory networks is the logical framework developed by R. Thomas. The network structure is captured in an interac...
Heike Siebert
AB
2008
Springer
15 years 3 months ago
Property Preservation along Embedding of Biological Regulatory Networks
In the course of understanding biological regulatory networks (BRN), scientists usually start by studying small BRNs that they believe to be of particular importance to represent a...
Mbarka Mabrouki, Marc Aiguier, Jean-Paul Comet, Pa...