The elastic interaction of membrane inclusions provides a unique physical realization of multibody forces. We derive an expression for the multibody curvature interaction between membrane proteins, and show that this interaction cannot be approximated by a pairwise additive theory. However, the interaction can be decomposed into a repulsive pairwise part and a nonpairwise part of similar magnit...

In this Letter, a generalization of pairwise models to non-Markovian epidemics on networks is presented. For the case of infectious periods of fixed length, the resulting pairwise model is a system of delay differential equations, which shows excellent agreement with results based on stochastic simulations. Furthermore, we analytically compute a new R_{0}-like threshold quantity and an analytic...

In this paper we investigate the maximal size of chains of equations on three or four words such that every time we add a new equation the set of solutions strictly decreases. We also investigate how large systems of pairwise independent or pairwise non-equivalent equations exist accepting purely non-periodic solutions.

In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.