arXiv Open Access 2013

Special Algorithm for Stability Analysis of Multistable Biological Regulatory Systems

Hoon Hong Xiaoxian Tang Bican Xia

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Abstrak

We consider the problem of counting (stable) equilibriums of an important family of algebraic differential equations modeling multistable biological regulatory systems. The problem can be solved, in principle, using real quantifier elimination algorithms, in particular real root classification algorithms. However, it is well known that they can handle only very small cases due to the enormous computing time requirements. In this paper, we present a special algorithm which is much more efficient than the general methods. Its efficiency comes from the exploitation of certain interesting structures of the family of differential equations.

Topik & Kata Kunci

cs.SC

Penulis (3)

Hoon Hong

Xiaoxian Tang

Bican Xia

Format Sitasi

APA MLA BibTeX

Hong, H., Tang, X., Xia, B. (2013). Special Algorithm for Stability Analysis of Multistable Biological Regulatory Systems. https://arxiv.org/abs/1312.1780

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓