Abstract
Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been called unstable if flip perturbations lead to damage spreading. Here, we find that this stability classification strongly differs from the stability properties of the original continuous dynamics under small perturbations of the state vector. In particular, random networks of nodes with large sensitivity yield stable dynamics under small perturbations.
| Original language | English |
|---|---|
| Article number | 188701 |
| Journal | Physical Review Letters |
| Volume | 107 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - Oct 26 2011 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Stability of Boolean and continuous dynamics. / Ghanbarnejad, Fakhteh; Klemm, Konstantin.
In: Physical Review Letters, Vol. 107, No. 18, 188701, 26.10.2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability of Boolean and continuous dynamics
AU - Ghanbarnejad, Fakhteh
AU - Klemm, Konstantin
PY - 2011/10/26
Y1 - 2011/10/26
N2 - Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been called unstable if flip perturbations lead to damage spreading. Here, we find that this stability classification strongly differs from the stability properties of the original continuous dynamics under small perturbations of the state vector. In particular, random networks of nodes with large sensitivity yield stable dynamics under small perturbations.
AB - Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been called unstable if flip perturbations lead to damage spreading. Here, we find that this stability classification strongly differs from the stability properties of the original continuous dynamics under small perturbations of the state vector. In particular, random networks of nodes with large sensitivity yield stable dynamics under small perturbations.
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U2 - 10.1103/PhysRevLett.107.188701
DO - 10.1103/PhysRevLett.107.188701
M3 - Article
VL - 107
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 18
M1 - 188701
ER -