Various algorithms for constructing a synaptic coupling matrix which can associatively map input patterns onto nearby stored memory patterns are reviewed. Issues discussed include performance, capacity, speed, eeciency and biological plausibility.

Multiplex optical coding carriers for biological assays have been achieved by coating silica colloidal crystals beads with quantum dots, which provided high stability, large capacity and simplicity for practical application.

Arıkan’s polar coding, is by now a well studied technique that allows achieving the symmetric capacity of binary input memoryless channels with low complexity encoding and decoding, provided that the polar decoding architecture is used and the decoding metric is matched to the true channel. In this paper, we analyze communication rates that are achievable when the polar coding/decoding architec...

In this chapter we provide a brief introduction to multidimensional codes. In particular, we focus on product codes and other similar codes that use parity checks over multidimensional arrays. We present a brief introduction to product codes and their properties. We then focus on multidimensional codes based on single parity-check constituent codes. We provide two applications that illustrate t...

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Abstract—In this paper, the concept of composibility of the total channel capacity of the system of channels composed of two independent subsystems of channel is discussed. This system of channels is a function of entropies of the subsystems. Here, we show that the generalized entropies, the Tsalli’s entropy, the normalized Tsalli’s entropy and the Kapur’s entropy are compatible with the compos...

In this paper, we consider a differential–algebraic biological economic system with time delay and harvesting where the dynamics is logistic with the carrying capacity proportional to prey population. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the differential–algebraic biological economic system based on the normal form approach...

The grand challenge for the 21st century is to harness the accumulating knowledge of Earth’s biodiversity and the ecosystems that support it. To accomplish this, we must mobilize biological information  assemble it, organize it, and deliver it with dramatically increased capacity. We must elevate the global biological information infrastructure to a new level of capability  a “next generation...