A new scaling for the standard discrete Luria-Delbrück distribution is provided which leads to a weak convergence result as the parameter of the distribution tends to infinity. We show that the stable limiting probability measure has the Fourier transform t → exp(−π|t|/2−it log |t|). For the corresponding density an integral representation is derived, which differs from that found in a closely ...

* J.D. 1970, Creighton University; Associate, Ross & O'Connor, Omaha, Nebraska; Lecturer in Law, Creighton University School of Law; Visiting Lecturer, Constitutional Law, University of Nebraska-Omaha; Plaintiff's Attorney, Horacek v. Exon. ** M.D. 1957, University of Nebraska; Professor of Psychiatry and Pediatrics, University of Nebraska College of Medicine; President, National Association fo...

In a previous work, it was observed that the swarming of polyamine-deficient Proteus mirabilis (speB::sm) was severely inhibited on Luria-Bertani (LB) swarming plates (LBSw) (LB, 0.5% glucose, 0.5% agar), and it was clarified that extracellular putrescine was important as a signaling molecule for the induction of swarming in P. mirabilis. However, a polyamine-deficient strain (delta-speAB delta...

We consider a fluctuation test experiment in which cell colonies were grown from single until they reach given population size and then exposed to treatment. While grow, the cells may, with low probability, acquire resistance treatment pass it on their offspring. Unlike classical Luria–Delbrück test, motivated by recent work drug-resistance acquisition cancer/microbial cells, we allowed resista...

Heavy metal pollution by natural factors is a world-wide phenomenon. Release of large quantities of heavy metals without handling proper processes that could decrease the concentration of such a material is a hassle that makes strains resistant to these heavy metals apart from entering into human food chain. In this research, wastewater of four firms in Guilan province such as Foolad, Risandegi...

The mutant distribution that accommodates both fitness and plating efficiency is an important class of the Luria–Delbrück distribution. Practical algorithms for computing this do not coincide with theoretically most elegant ones, as existing generic methods often either produce unreliable results or freeze computational process altogether when employed to solve real-world research problems. Exp...