Biochemical regulatory networks governing diverse cellular processes such as stress-response, differentiation and cell cycle often contain coupled feedback loops. We aim at understanding how features of feedback architecture, such as the number of loops, the sign of the loops and the type of their coupling, affect network dynamical performance. Specifically, we investigate how bistability range...

In this work, we study the volume ratio of the projective tensor products `p ⊗π `q ⊗π `r with 1 ≤ p ≤ q ≤ r ≤ ∞. We obtain asymptotic formulas that are sharp in almost all cases. As a consequence of our estimates, these spaces allow for a nearly Euclidean decomposition of Kašin type whenever 1 ≤ p ≤ q ≤ r ≤ 2 or 1 ≤ p ≤ 2 ≤ r ≤ ∞ and q = 2. Also, from the Bourgain-Milman bound on the volume rat...

We address the problem of fast computation of level set partial differential equations (PDEs) in the context of motion segmentation. Although several fast level set computation algorithms are known, some of them, such as the fast marching method, are not applicable to the video segmentation problem since the front being computed does not advance monotonically. We study narrow-banding, pyramidal...

Fold duplexes transfer displacement from a lower to an upper bounding detachment system via trains of folds with broadly parallel geometries. While they have been previously recognised in orogenic systems where are considered be kinematically equivalent imbricating thrust ramps, we here describe the first example gravity-driven fold and (FATS) developed within late-Pleistocene mass transport de...