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AB
2008
Springer
14 years 1 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
SIAMCO
2008
103views more  SIAMCO 2008»
13 years 7 months ago
Perturbation Methods in Stability and Norm Analysis of Spatially Periodic Systems
We consider systems governed by partial differential equations with spatially periodic coefficients over unbounded domains. These spatially periodic systems are considered as pertu...
Makan Fardad, Bassam Bamieh
BMCBI
2008
160views more  BMCBI 2008»
13 years 7 months ago
Dynamic sensitivity analysis of biological systems
Background: A mathematical model to understand, predict, control, or even design a real biological system is a central theme in systems biology. A dynamic biological system is alw...
Wu Hsiung Wu, Feng Sheng Wang, Maw Shang Chang
BMCBI
2007
161views more  BMCBI 2007»
13 years 7 months ago
Efficient classification of complete parameter regions based on semidefinite programming
Background: Current approaches to parameter estimation are often inappropriate or inconvenient for the modelling of complex biological systems. For systems described by nonlinear ...
Lars Kuepfer, Uwe Sauer, Pablo A. Parrilo