For a real smooth algebraic curve A ⊂ (C), the amoeba A ⊂ R is the image of A under the map Log : (x, y) 7→ (log |x|, log |y|). We describe a universal bound for the total curvature of the real amoeba ARA and we prove that this bound is reached if and only if the curve A is a simple Harnack curve in the sense of Mikhalkin.

In recent years in Poland a very distinctive form of proliferative gill disease of rainbow trout, accompanied by the presence of amoeba-like cells, was observed. The disease appeared to be the nodular gill disease for the first time diagnosed in Poland. Amoeba-like cells seemed to be related to pathological gill lesions, whereas other potential agents such as bacteria and parasites were exclude...

Free-living amoebae cause three well-defined disease entities: a rapidly fatal primary meningoencephalitis, a chronic granulomatous amoebic encephalitis (GAE), and a chronic amoebic keratitis. GAE occurs in immunocompromised persons. Recently, another type of free-living amoeba, Balamuthia mandrillaris, has been shown to cause GAE. The finding that this amoeba has caused infection in some healt...

The amoeba of an affine algebraic variety V ⊂ (C∗)r is the image of V under the map (z1, . . . , zr) 7→ (log |z1|, . . . , log |zr|). We give a characterisation of the amoeba based on the triangle inequality, which we call ‘testing for lopsidedness’. We show that if a point is outside the amoeba of V , there is an element of the defining ideal which witnesses this fact by being lopsided. This c...

We report the iAMOEBA ("inexpensive AMOEBA") classical polarizable water model. The iAMOEBA model uses a direct approximation to describe electronic polarizability, in which the induced dipoles are determined directly from the permanent multipole electric fields and do not interact with one another. The direct approximation reduces the computational cost relative to a fully self-consistent pola...

The treatment of Amoeba indica with ethylmethanesulphonate (EMS) at early S, late S and late G2 phases of the cell cycle leads to the production of mini amoeba cells in the G2 period. Among them, only a few of the mini cells that originated from EMS treatment at early S phase have been found to be viable and to give rise to stable clones. These mini amoebae show stable and altered characteristi...

The amoeba of a holomorphic function f is, by definition, the image in Rn of the zero locus of f under the simple mapping that takes each coordinate to the logarithm of its modulus. The terminology was introduced in the 1990s by the famous (biologist and) mathematician Israel Gelfand and his coauthors Kapranov and Zelevinsky (GKZ). In this paper we study a natural convex potential function N f ...

Legionella pneumophila, a facultative intracellular bacterium, is the causative agent of legionellosis. In the environment this pathogenic bacterium colonizes the biofilms as well as amoebae, which provide a rich environment for the replication of Legionella. When seeded on pre-formed biofilms, L. pneumophila was able to establish and survive and was only found at the surface of the biofilms. D...

The contents of this work reeect the views of the authors who are responsible for the facts and accuracy of the data presented. Responsibility for the application of the material to speciic cases, however, lies with any user of the report and no responsibility in such cases will be attributed to the author or to the University of Canterbury.