AB
2008
Springer
14 years 5 months ago
2008
Springer
A specific class of ODEs has been shown to be adequate to describe the essential features of the complex dynamics of Gene-Regulatory Networks (GRN). But, the effective exploitatio...
AB
2008
Springer
14 years 5 months ago
2008
Springer
Boolean networks (BNs) are known as a mathematical model of genetic networks. In this paper, we overview algorithmic aspects of inference, analysis and control of BNs while focusin...
AB
2008
Springer
14 years 5 months ago
2008
Springer
We explore the computational power of biochemistry with respect to basic chemistry, identifying complexation as the basic mechanism that distinguishes the former from the latter. W...
AB
2008
Springer
14 years 5 months ago
2008
Springer
AB
2008
Springer
14 years 5 months ago
2008
Springer
Biochemical models that exhibit bistability are of interest to biologists and mathematicians alike. Chemical reaction network theory can provide sufficient conditions for the exist...
AB
2008
Springer
14 years 5 months ago
2008
Springer
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...
AB
2008
Springer
14 years 5 months ago
2008
Springer
Abstract. Symbolic methods for investigating Hopf bifurcation problems of vector fields arising in the context of algebraic biology have recently obtained renewed attention. Howev...
AB
2008
Springer
14 years 5 months ago
2008
Springer
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...
AB
2008
Springer
14 years 5 months ago
2008
Springer
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...
AB
2008
Springer
14 years 5 months ago
2008
Springer
Abstract. Thoughts are spatio-temporal patterns of coalitions of firing neurons and their interconnections. Neural algebras represent these patterns as formal algebraic objects, a...