Background Current methods in machine learning provide approaches for solving
challenging, multiple constraint design problems. While deep learning and related neural …

Symmetry is one of the essential and most visible patterns that can be seen in nature.
Starting from the left–right symmetry of the human body, all types of symmetry can be found …

Circular codes, putative remnants of primeval comma-free codes, have gained considerable
attention in the last years. In fact they represent a second kind of genetic code potentially …

We argue for a convergence of crystallography, materials science and biology, that will
come about through asking materials questions about biology and biological questions …

Dichotomic classes arising from a recent mathematical model of the genetic code allow to
uncover many symmetry properties of the code, and although theoretically derived, they …

Yury Borisovich Rumer was one of the most important theoretical physicists of the former
Soviet Union in the early 1930s. However, he also wrote a few 'biological papers' on the …

In this paper we introduce the concept of a BDA-generated model of the genetic code which
is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on …

In this article, we present a mathematical framework based on redundant (non-power)
representations of integer numbers as a paradigm for the interpretation of genomic …

We identify here a combinatorial property between circular code and genetic code. A circular
code of 20 trinucleotides which allows to retrieve the reading frame has a permuted set of 20 …

The problem of retrieval and maintenance of the correct reading frame plays a significant
role in RNA transcription. Circular codes, and especially comma-free codes, can help to …