2014 It is shown that the kinetics of collapse of a polymer coil consisting of N segments after an abrupt decrease of temperature is a two-stage process if N ~ Ne. The first stage takes a time ~ N2 and leads to the peculiar state 2014 crumpled, or fractal, globule. Any part of a chain of any scale is itself a globule in this state ; these parts are segregated from each other in space due to the...

Parameter values There are 9 parameters in these equations. Some can be fixed or constrained using data from literature: 1. p53 does not measurably degrade over 120 min in the absence of Mdm2 [1]. Therefore, its Mdm2independent degradation rate, α, is very low. We took α = 0.1hr, corresponding to a half life of 7.5 hours. In any case, as shown in Fig. 3 of the main text, varying α by upto 5-fol...

The largest possible average diameter of a bounded cell of a simple hyperplane arrangement is conjectured to be not greater than the dimension. We prove that this conjecture holds in dimension 2, and is asymptotically tight in fixed dimension. We give the exact value of the largest possible average diameter for all simple arrangements in dimension 2, for arrangements having at most the dimensio...

Chen and Kanj considered the V C problem for graphs with perfect matchings (VC-PM). They showed that: (i) There is a reduction from general V C to VC-PM, which guarantees that if one can achieve an approximation factor of less than two for VC-PM, then one can do so for general V C as well. (ii) There is an algorithm for VC-PM whose approximation factor is given as 1.0...

“I’ve never touched the hard stuff, only smoked grass a few times with the boys to be polite, and that’s all, though ten is the age when the big guys come around teaching you all sorts to things. But happiness doesn’t mean much to me, I still think life is better. Happiness is a mean son of a bitch and needs to be put in his place. Him and me aren’t on the same team, and I’m cutting him dead. I...

This paper considers distributionally robust formulations of a two stage stochastic programming problem with the objective of minimizing a distortion risk of the minimal cost incurred at the second stage. We carry out stability analysis by looking into variations of the ambiguity set under the Wasserstein metric, decision spaces at both stages and the support set of the random variables. In the...