Stability of differential inclusions defined by locally Lipschitz compact valued maps is addressed. It is shown that if such a differential inclusion is globally asymptotically stable, then in fact it is uniformly globally asymptotically stable (with respect to initial states in compacts). This statement is trivial for differential equations, but here we provide the extension to compact (not ne...

This paper is a contribution to the development of a theory concerning stability of equilibrium positions with respect to Sentis solutions of ordinary differential equations with discontinuous right hand side.

We introduce and explore the asymmetric inclusion process (ASIP), an exactly solvable bosonic counterpart of the fermionic asymmetric exclusion process (ASEP). In both processes, random events cause particles to propagate unidirectionally along a one-dimensional lattice of n sites. In the ASEP, particles are subject to exclusion interactions, whereas in the ASIP, particles are subject to inclus...

It is well established that many viruses produce inclusion bodies in the nucleus or cytoplasm of an affected cell, and that the morphological appearance of such inclusions may be pathognomonic of a particular infection (Pinkerton, 1950). Similar bodies may also result from the toxic action of certain heavy metals (Lee, 1933; Blackman, 1936; Olitsky and Harford, 1937). They are occasionally foun...

Sporadic inclusion body myositis (IBM) is a muscle disease with two separate pathogenic components, degeneration and inflammation. Typically, nonnecrotic myofibers are focally surrounded and invaded by CD8(+) T cells and macrophages. Both attacked and nonattacked myofibers express high levels of human leukocyte antigen class I (HLA-I) molecules, a prerequisite for antigen presentation to CD8(+)...

Hybrid systems are dynamical systems with the ability to describe mixed discretecontinuous evolution of a wide range of systems. Consequently, at first glance, hybrid systems appear powerful but recalcitrant, neither yielding to analysis and reasoning through a purely continuous-time modeling as with systems of differential equations, nor open to inferential processes commonly used for discrete...

Premature baby unit at Southmead Hospital where she arrived 1J hours after birth. The whole of her body was found to be covered by petechial haemorrhages which in Places merged to form larger lesions resembling bruises. She had a very large spleen , and a very large liver and was thought to be very slightly jaundiced. It was soon realized that this baby had some quite unusual problem and our fi...

When evaluating the inclusion-exclusion expansion N0 −N(1) −N(2) − · · ·+N(1, 2) +N(1, 3) + · · · many of the terms N(· · ·) may turn out to be zero, and hence should be discarded beforehand. Often this can be done.

We have established a relation between θ−|R,pn|k and θ−|R,qn|k summability methods, k > 1, which generalizes a result of Sunouchi (1949) on |R,pn| and |R,qn| summability methods.