ar X iv : 0 71 1 . 27 30 v 1 [ nl in . C G ] 1 7 N ov 2 00 7 Effects of feedback and feedforward loops on dynamics of transcriptional regulatory model networks

ar X iv : 0 71 1 . 27 30 v 2 [ nl in . C G ] 4 D ec 2 00 7 Effects of feedback and feedforward loops on dynamics of transcriptional regulatory model networks

We demonstrate the advantages of feedforward loops using a Boolean network, which is one of the discrete dynamical models for transcriptional regulatory networks. After comparing the dynamical behaviors of network embedded feedback and feedforward loops, we found that feedforward loops can provide higher temporal order (coherence) with lower entropy (randomness) in a temporal program of gene ex...

ar X iv : 0 71 1 . 23 72 v 1 [ m at h . G R ] 1 5 N ov 2 00 7 Braid groups and Artin groups

ar X iv : 0 71 1 . 32 82 v 1 [ he p - ph ] 2 1 N ov 2 00 7 Study of Pure Annihilation Decays B d , s → D 0 D 0

With heavy quark limit and hierarchy approximation λ QCD ≪ m D ≪ m B , we analyze the

ar X iv : 0 71 0 . 27 16 v 1 [ cs . N I ] 1 5 O ct 2 00 7 Cost and Effects of Pinning Control for Network Synchronization ∗

In this paper, the problem of pinning control for synchronization of complex dynamical networks is discussed. A cost function of the controlled network is defined by the feedback gain and the coupling strength of the network. An interesting result is that lower cost is achieved by the control scheme of pinning nodes with smaller degrees. Some rigorous mathematical analysis is presented for achi...

ar X iv : 0 71 1 . 27 58 v 1 [ m at h . A G ] 1 7 N ov 2 00 7 Rational curves of degree 11 on a general quintic threefold ∗

We prove the “strong form” of the Clemens conjecture in degree 11. Namely, on a general quintic threefold F in P, there are only finitely many smooth rational curves of degree 11, and each curve C is embedded in F with normal bundle O(−1) ⊕ O(−1). Moreover, in degree 11, there are no singular, reduced, and irreducible rational curves, nor any reduced, reducible, and connected curves with ration...