A Case Study on the Parametric Occurrence of Multiple Steady States-Reference-Cited by-同舟云学术

A Case Study on the Parametric Occurrence of Multiple Steady States

Published:2017-07-23 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation
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Author:

Bradford Russell¹,Davenport James H.¹,England Matthew²,Errami Hassan³,Gerdt Vladimir⁴,Grigoriev Dima⁵,Hoyt Charles⁶,Košta Marek⁷,Radulescu Ovidiu⁸,Sturm Thomas⁹,Weber Andreas³

Affiliation:

1. University of Bath, Bath, United Kingdom

2. Coventry University, Coventry, United Kingdom

3. University of Bonn, Bonn, Germany

4. JINR, Dubna, Russian Fed.

5. CNRS and University of Lille, Lille, France

6. b-it, Bonn, Germany

7. Slovak Academy of Sciences, Bratislava, Slovakia

8. University of Montpellier, Montpellier, France

9. UL, CNRS, Inria & LORIA & MPII & Saarland University, Nancy, France

Funder

DFG / ANR

Russian Science Foundation

Horizon 2020

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3087604.3087622

Reference28 articles.

1. Cylindrical Algebraic Decomposition I: The Basic Algorithm

2. D. J. Bates J. D. Hauenstein A. J. Sommese and C. W. Wampler. Bertini: Software for numerical algebraic geometry. D. J. Bates J. D. Hauenstein A. J. Sommese and C. W. Wampler. Bertini: Software for numerical algebraic geometry.

3. Emergent Properties of Networks of Biological Signaling Pathways

4. Triangular decomposition of semi-algebraic systems

5. Computing cylindrical algebraic decomposition via triangular decomposition

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