Three families of proteinase inhibitors and the trypsin family were the subjects of the analysis of amino acid replacements at aligned positions. This approach concerned some specific types of replacement and the mechanisms that can be involved in their control. The usefulness of the Markovian model for interpretation of mutational replacement within homologous proteins was examined. The same s...

This paper extends the long-term factorization of the pricing kernel due to Alvarez and Jermann (2005) in discrete time ergodic environments and Hansen and Scheinkman (2009) in continuous ergodic Markovian environments to general semimartingale environments, without assuming the Markov property. An explicit and easy to verify sufficient condition is given that guarantees convergence in Emery’s ...

Recent evidence suggests that quantum mechanics is relevant in photosynthesis, magnetoreception, enzymatic catalytic reactions, olfactory reception, photoreception, genetics, electron-transfer in proteins, and evolution; to mention few. In our recent paper published in Life, we have derived the operator-sum representation of a biological channel based on codon basekets, and determined the quant...

Dynamic constraint satisfaction is a useful tool for representing and solving sequential decision problems with complete knowledge in dynamic world. We propose an extension of the dynamic constraint satisfaction framework so as to represent stochastic events in sequential decision making. The basis of this extension consists in modeling evolution of the dynamic constraint satisfaction problem b...

Traffic-based decomposition models encompass procedures required for modelling of the basic network operations of superposition, departure and splitting, arising due to the common sharing of the resources and routing decisions taking place in packetswitched networks. It is desirable to study such models for Markovian Arrival Processes (MAPs), as these processes are able to match correlations an...

This paper describes the use of spatially-sparse inputs to influence global changes in the behavior of Dynamic Movement Primitives (DMPs). The dynamics of DMPs are analyzed through the framework of contraction theory as networked hierarchies of contracting or transversely contracting systems. Within this framework, sparsely-inhibited rhythmic DMPs (SI-RDMPs) are introduced to both inhibit or en...