Arxula adeninivorans and Yarrowia lipolytica converted (+)limonene to perillic acid (0.06 and 1.0 g/l; yield 3% and 50%) and (-)piperitone to 7-hydroxy-piperitone (0.06 and 0.04 g/l; yield 12% andâ€¦ (More)

Hormonema sp. UOFS Y-0067, freshly isolated from pine forest litter, hydroxylated monoand bicyclic monoterpenes on the cyclohexane ring. It converted (1)limonene to trans-isopiperitenol (0.5 g/l;â€¦ (More)

We define a statistic an(w), the size of the atmosphere of a self-avoiding walk, w, of length n, with the property that ã€ˆan(w)ã€‰ â†’ Î¼ as n â†’ âˆž, where Î¼ is the growth constant of lattice self-avoidingâ€¦ (More)

Moloko C Cholo, Ronald Anderson, Medical Research Council Unit for Inflammation and Immunity, Department of Immunology, Faculty of Health Sciences, University of Pretoria and Tshwane Academicâ€¦ (More)

We show that the classical Rosenbluth method for sampling self-avoiding walks [1, 2] can be extended to a general algorithm for sampling many families of objects, including self-avoiding polygons.â€¦ (More)

A model of a self-interacting directed animal, which also interacts with a solid wall, is studied as a model of a directed branched polymer which can undergo both a collapse and an adsorptionâ€¦ (More)

The maximum of the linking number between two lattice polygons of lengths n1, n2 (with n1 â‰¤ n2) is proven to be of the order of n1(n2) 1 3 . This result is generalized to smooth links of unitâ€¦ (More)

We compute the cogrowth series for Baumslag-Solitar groups BS(N,N) = ã€ˆa, b|aN b = baN ã€‰, which we show to be D-finite. It follows that their cogrowth rates are algebraic numbers.

A self-avoiding walk adsorbing on a line in the square lattice, and on a plane in the cubic lattice, is studied numerically as a model of an adsorbing polymer in dilute solution. The walk isâ€¦ (More)