Yunjiao Wang

TL;DR: Deterministic and stochastic models simulated the experimentally observed activation threshold and gave rise to new predictions about the structure of the system and open the way for better mechanistic understanding of physiological TNFα activation of inflammatory responses in cells and tissues.

TL;DR: The theory of coupled cell systems developed by Stewart, Nicol, Pivato and Torok was used in this paper to find patterns of synchrony in four types of planar lattice dynamical systems: square lattice and hexagonal lattice differential equations with nearest neighbour coupling and with nearest and next nearest neighbour couplings.

TL;DR: Numerical results suggest that the entrainment phenomena observed in pulse-stimulated experiments is a consequence of the high intensity of the stimulation of the NF-kappa B system.

TL;DR: A systematic survey using computational bifurcation theory to explore the relationship between the intensity of TNFα stimulation and the existence of sustained NF-κB oscillations and defines scores to quantify the sensitivity of the dynamics of the system to variation in its parameters and establish that the qualitative dynamics are most sensitive to the details of NF-σB mediated gene transcription.

TL;DR: In this paper, it was shown that rigid phase-shifts in periodic solutions on a transitive network are produced by a cyclic symmetry on a quotient network, which can also be described abstractly as a Zm permutation symmetry.