The Edwards model in one dimension is a transformed path measure for standard Brownian motion discouraging self-intersections. We prove a central limit theorem for the endpoint of the path, extending a law of large numbers proved by Westwater (1984). The scaled variance is characterized in terms of the largest eigenvalue of a one-parameter family of diierential operators, introduced and analyze...

In many plant species sophisticated functions such as water repellence, reduction of particle adhesion and reduction of insect attachment are correlated to a hierarchically sculptured surface design. One prominent example is given by the hierarchically sculptured, self-cleaning surface of the lotus leave (Nelumbo nucifera). In plants hierarchy of surfaces is often realized by combining microstr...

Abstract In this work, a non-fluorinated surface treatment, i.e., hydrophobized silicone nanofilaments, was applied on both birch and acetylated wood samples via gas-phase based reaction. A superhydrophobic behavior observed the surface-modified as revealed by static water contact angles (CAs) greater than 160°, also valid for prepared with shortest reaction time of 1 h. The dynamic wettability...

Abstract Reckless discharge of industrial wastewater and domestic sewage as well frequent leakage crude oil have caused serious environmental problems posed severe threat to human survival. Various nature inspired superhy-drophobic surfaces been successfully applied in oily water remediation. However, further improvements are still urgently needed for practical application terms facile synthesi...

Vertebrate blood is essential for the growth and the reproduction of haematophagous insects. Provided that hosts play the double role of food sources and predators, feeding on their blood exposes these insects to a high predation risk. Therefore, it is expected that host seeking occurs only when insects need to feed. In the present study, we analyse how the feeding status affects the response t...

Previous studies have shown that δ-octalactone is an important component of the tsetse-refractory waterbuck (Kobus defassa) repellent odour blend. In the present study, structure-activity comparison was undertaken to determine the effects of the length of the side chain and ring size of the lactone on adult Glossina pallidipes and Glossina morsitans morsitans. The responses of the flies to each...

We provide a short review of existing models with multiple taxis performed by (at least) one species and consider new mathematical model for tumor invasion featuring two mutually exclusive cell phenotypes (migrating proliferating). The migrating cells perform nonlinear diffusion types in response to non-diffusing cues: away from proliferating up the gradient surroun...