Analysis of parametric biological models with non-linear dynamics

被引：3

作者：

Testylier, Romain ^{[1
]}

Dang, Thao ^{[2
,3
]}

机构：

[1] Joseph Fourier Univ, VERIMAG, Saint Martin D Heres, France

[2] CNRS, Paris, France

[3] VERIMAG, Saint Martin D Heres, France

来源：

ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE | 2012年 / 92期

关键词：

D O I：

10.4204/EPTCS.92.2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we present recent results on parametric analysis of biological models. The underlying method is based on the algorithms for computing trajectory sets of hybrid systems with polynomial dynamics. The method is then applied to two case studies of biological systems: one is a cardiac cell model for studying the conditions for cardiac abnormalities, and the second is a model of insect nest-site choice.

引用

页码：16 / 29

页数：14

共 50 条

[1] Parametric excitation in non-linear dynamics
Bakri, T
Nabergoj, R
Tondl, A
Verhulst, F
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2004, 39 (02) : 311 - 329
[2] Non-linear dynamics of biological systems
Janson, Natalia B.
[J]. CONTEMPORARY PHYSICS, 2012, 53 (02) : 137 - 168
[3] NON-LINEAR MODELS OF BIOLOGICAL TREATMENT PROCESSES
VAVILIN, VA
VASILIEV, VB
[J]. ECOLOGICAL MODELLING, 1980, 9 (01) : 57 - 71
[4] Linear and non-linear dynamics of the epidemics: System identification based parametric prediction models for the pandemic outbreaks
Tutsoy, Onder
Polat, Adem
[J]. ISA TRANSACTIONS, 2022, 124 : 90 - 102
[5] Multiversion structures with models of non-linear dynamics
[J]. Izv Vyssh Uchebn Zaved Chern Metall, 6 (61-67):
[6] A comparison of non-linear non-parametric models for epilepsy data
Miwakeichi, F
Ramirez-Padron, R
Valdes-Sosa, PA
Ozaki, T
[J]. COMPUTERS IN BIOLOGY AND MEDICINE, 2001, 31 (01) : 41 - 57
[7] INPUT OUTPUT PARAMETRIC MODELS FOR NON-LINEAR SYSTEMS .1. DETERMINISTIC NON-LINEAR SYSTEMS
LEONTARITIS, IJ
BILLINGS, SA
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (02) : 303 - 328
[8] INPUT OUTPUT PARAMETRIC MODELS FOR NON-LINEAR SYSTEMS .2. STOCHASTIC NON-LINEAR SYSTEMS
LEONTARITIS, IJ
BILLINGS, SA
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (02) : 329 - 344
[9] CONTROLLABILITY OF NON-LINEAR MODELS OF INTERACTING BIOLOGICAL POPULATIONS
ZhangShenghai
[J]. 生物数学学报, 1995, (04) : 14 - 18
[10] Efficient algorithms for parametric non-linear instability analysis
Legay, A
Combescure, A
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2002, 37 (4-5) : 709 - 722

← 1 2 3 4 5 →