Note on the dynamic instability of microtubules Abstract If the dynamic instability of microtubules follows a gamma distribution then one can associate to it a Cantor set. Microtubules (MTs), the main protein polymeric filaments of the cell cy-toskeleton, are a well-defined biological system where methods in condensed matter, statistical mechanics and the theory of complex systems have been app...

We generalize the Kuramoto model for coupled phase oscillators by allowing the frequencies to drift in time according to Ornstein-Uhlenbeck dynamics. Such drifting frequencies were recently measured in cellular populations of circadian oscillator and inspired our work. Linear stability analysis of the Fokker-Planck equation for an infinite population is amenable to exact solution and we show th...

For multivariate failure time data, we propose a new class of shared gamma frailty models by imposing the Box-Cox transformation on the hazard function, and the product of the baseline hazard and the frailty. This novel class of models allows for a very broad range of shapes and relationships between the hazard and baseline hazard functions. It includes the well-known Cox gamma frailty model an...

We deene new procedures for estimating generalized additive nonparametric regression models that are more eecient than the Linton and HHrdle (1996) integration-based method and achieve certain oracle bounds. We consider criterion functions based on the Linear Exponential Family, which includes many important special cases. We also consider the extension to multiple parameter models like the Gam...

A simple lower bound to the capacity of the discrete-time Poisson channel with average energy εs is derived. The rate 12 log(1+εs) is shown to be the generalized mutual information of a modified minimum-distance decoder, when the input follows a gamma distribution of parameter 1/2 and mean εs.

The generalized inverse Gaussian distribution has become quite popular in financial engineering. The most popular random variate generator is due to Dagpunar (1989). It is an acceptance-rejection algorithm method based on the Ratio-of-uniforms method. However, it is not uniformly fast as it has a prohibitive large rejection constant when the distribution is close to the gamma distribution. Rece...