Lateral inhibition represents a well-studied example of biology's ability to self-organize multicellular spatial patterns with single-cell precision. Despite established biochemical mechanisms for lateral inhibition (e.g., Delta-Notch), it remains unclear how cell-cell signaling delays inherent to these mechanisms affect patterning outcomes. We investigate a compact model of lateral inhibition ...

Abstract This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensional linear systems with multiple delays. Moreover, one sufficient condition is attained for the Lyapunov globally asymptotical stability of the general multi-delay linear systems. In parti...

This paper considers the general problem of the synthesis of asynchronous combinational and sequential circuits based on the assumption that gate delays may be unbounded and that line delays are suitably constrained. Certain problems inherent to circuit realizations with unbounded gate delays are discussed and methods of solving them are proposed. Specific synthesis techniques are presented for...

We consider trees, series-parallel digraphs, and general series-parallel digraphs that have vertex weights and delays. The length/delay of a path is the sum of the delays on the path. We show that minimal weight vertex subsets X such that the length of the longest path is bounded by a given value δ when all vertices in X are upgraded to have delay 0 can be found in pseudo polynomial time. In ca...

Background The developmental delays of children, is one of the most important sources of information to detect the developmental delays of children. The aim of this study was to investigate the developmental delays and its relationship with anthropometric indices in Urmia city, Iran. Materials and Methods This is a descriptive analytical study that conducted on 422 children who had 6-12 months ...

This paper discusses and formulates a continuoustime SEIR -type epidemic model of pseudo-mass action type with finitely distributed delays under a very general, and in general time-varying, vaccination control rule which eventually generates feedback actions on the susceptible, infectious and recovered subpopulations. A lot of particular vaccination laws can be got from the proposed general one...

The speedup of a switch is the factor by which the switch, and hence the memory used in the switch, runs faster compared to the line rate. In high-speed switches, line rates are already touching limits at which memory can operate. In this scenario, it is very important for a switch to run at as low a speedup as possible. In the past, it has been shown that 100% throughput can be achieved for an...