In Übereinstimmung mit der vorangegangenen, theoretischen Ableitung hängen der Widerstand (R0) und die Stromspannungs [i-E) -Kurven von Mikropipetten, die als Elektroden in der Elektrophysiologie verwendet werden, vom Radius r0[cm] und der Konzentration c[Äq./cm 3] des Elektro­ lyten ab. Große Werte von r0 c [Äq./cm2] entsprechen Volumenleitung in der Öffnung. /?0vol ^ 1/ r0 c Abb. 3; die i-£-K...

A specially designed hemispherical deflector analyzer (HDA) with 5-element input lens having a movable entry position R0 suitable for electron energy analysis in atomic collisions was constructed and tested. The energy resolution of the HDA was experimentally determined for three different entry positions R0 = 84, 100, 112 mm as a function of the nominal entry potential V(R0) under pre-retardat...

This paper presents a mathematical model of the HIV/AIDS epidemic in Kunming, the provincial capital of Yunnan, China. The population is divided into several groups, with individuals possibly changing group. Two transmission routes of HIV are considered: needle sharing between injecting drug users (IDUs) and commercial sex between female sex worker (FSWs) and clients. The model includes male ID...

Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...

Let f : {0, 1} → {0, 1} be a Boolean function. The certificate complexity C(f) is a complexity measure that is quadratically tight for the zero-error randomized query complexity R0(f): C(f) ≤ R0(f) ≤ C(f) . In this paper we study a new complexity measure that we call expectational certificate complexity EC(f), which is also a quadratically tight bound on R0(f): EC(f) ≤ R0(f) = O(EC(f) ). We pro...

Although its usefulness and possibility of the well-known definition of the basic reproduction number R0 for structured populations by Diekmann, Heesterbeek and Metz (J Math Biol 28:365-382, 1990) (the DHM definition) have been widely recognized mainly in the context of epidemic models, originally it deals with population dynamics in a constant environment, so it cannot be applied to formulate ...

The study of fungal antibiotics in their competitive interactions with arthropods may lead to the development novel biorational insecticides. Extracts Alternaria tenuissima MFP253011 obtained using various methods showed a wide range biological activities, including entomotoxic properties. Analysis composition and bioactivity allowed us reveal several known mycotoxins unidentified compounds tha...

We call F : {0, 1}n×{0, 1}n → {0, 1} a symmetric XOR function if for a function S : {0, 1, ..., n} → {0, 1}, F (x, y) = S(|x⊕ y|), for any x, y ∈ {0, 1}n, where |x⊕ y| is the Hamming weight of the bit-wise XOR of x and y. We show that for any such function, (a) the deterministic communication complexity is always Θ(n) except for four simple functions that have a constant complexity, and (b) up ...

In this paper, we investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two distributed time delays describing time needed for infection of cell and virus replication. Our model admits three possible equilibria, an uninfected equilibrium and infected equilibrium with or without immune response depending on the ...

In this paper we develop a mathematical model for Chagas disease with infection-age-dependent infectivity. The effects of vector and blood transfusion transmission are considered, and the infected population is structured by the infection age (the time elapsed from infection). The authors identify the basic reproduction ratio R0 and show that the disease can invade into the susceptible populati...