Stability, Complexity and Robustness in Population Dynamics

被引:6
作者
Demongeot, J. [1 ]
Hazgui, H. [1 ]
Ben Amor, H. [1 ]
Waku, J. [2 ]
机构
[1] Univ Grenoble 1, FRE CNRS 3405, Fac Med Grenoble, AGIM, F-38700 La Tronche, France
[2] Univ Yaounde, Fac Sci, LIRIMA UMMISCO, Yaounde, Cameroon
关键词
Structural stability; Liapunov stability; Asymptotic stability; Attractors; Genetic networks; Network robustness; REGULATORY NETWORKS; BOUNDARY-CONDITIONS; NEGATIVE FEEDBACK; PHASE-TRANSITIONS; NEURAL-NETWORKS; C-MYC; ENTROPY; CIRCUITS; AUTOMATA; ROLES;
D O I
10.1007/s10441-014-9229-5
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The problem of stability in population dynamics concerns many domains of application in demography, biology, mechanics and mathematics. The problem is highly generic and independent of the population considered (human, animals, molecules,aEuro broken vertical bar). We give in this paper some examples of population dynamics concerning nucleic acids interacting through direct nucleic binding with small or cyclic RNAs acting on mRNAs or tRNAs as translation factors or through protein complexes expressed by genes and linked to DNA as transcription factors. The networks made of these interactions between nucleic acids (considered respectively as edges and nodes of their interaction graph) are complex, but exhibit simple emergent asymptotic behaviours, when time tends to infinity, called attractors. We show that the quantity called attractor entropy plays a crucial role in the study of the stability and robustness of such genetic networks.
引用
收藏
页码:243 / 284
页数:42
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