Along an individual lifetime, stem cells replicate and suffer modifications in their DNA content. I model the modifications in the DNA of a single cell as a Levy flight, made up of small amplitude Brownian motions plus rare large-jumps events. The distribution function of mutations has a long tail, in which cancer events are located far away. The probability of cancer in a given tissue is rough...

We consider the statistical properties of primary sequences of two-letter HP copolymers (H for hydrophobic and P for polar) designed to have water soluble globular conformations with H monomers shielded from water inside the shell of P monomers. We show, both by computer simulations and by exact analytical calculation, that for large globules and flexible polymers such sequences exhibit long-ra...

Testing aerosol properties in MODIS (MOD04/MYD04) Collection 4 and 5 using airborne sunphotometer observations in INTEX-B/MILAGRO J. Redemann, Q. Zhang, J. Livingston, P. Russell, Y. Shinozuka, A. Clarke, R. Johnson, and R. Levy Bay Area Environmental Research Institute, Sonoma, CA, USA SRI International, Menlo Park, CA, USA NASA Ames Research Center, Moffett Field, CA, USA ORAU/ NASA Ames Rese...

We study parameter estimation for discretely observed stochastic differential equations driven by small Levy noises. There have been many applications of small noise asymptotics to mathematical finance and insurance. Using small noise models we can deal with both applications and statistical inference. We do not impose Lipschitz condition on the dispersion coefficient function and any moment co...

Association rule mining (ARM) is one of the most important tasks in data mining. In recent years, swarm intelligence algorithms have been effectively applied to ARM, and main challenge has achieve a balance between search efficiency quality mined rules. As novel algorithm, water wave optimization (WWO) algorithm widely used for combinatorial problems, with disadvantage that it tends fall into l...

Optimization is a broad field for researchers to develop new algorithms solving various types of problems. There are popular techniques being worked on improvement. Grey wolf optimization (GWO) one such algorithm because it efficient, simple use, and easy implement. However, GWO has several drawbacks as stuck in local optima, low convergence rate, poor exploration. Several attempts have been ma...

We consider the problem of tracking visually identifiable mobile targets using a distributed system of mobile robots. We propose a behavior-based approach where mobile robots with limited sensory range use a search pattern observed in nature the Levy distributed search, to locate a mobile target. The Levy search pattern is inspired by the foraging pattern exhibited by social insects such as hon...