Mathematics in biological reality: The emergence of natural computation in living systems
- Computer ScienceBiosyst.
The Hiatus Between Organism and Machine Evolution: Contrasting Mixed Microbial Communities with Robots
A systemic viewpoint of mixed microbial communities is focused on the pivotal role of affordances in evolution and it is maintained that the two realms are neatly separated, that natural evolution proceeds by extending the space of its possibilities in a completely open way, while the latter is inherently limited by the algorithmic framework in which it is defined.
Toward understanding the emergence of life: A dual function of the system of nucleotides in the metabolically closed autopoietic organization
Some Statistics on Generalized Motzkin Paths with Vertical Steps
- Materials ScienceGraphs and Combinatorics
Recently, several authors have considered lattice paths with various steps, including vertical steps permitted. In this paper, we consider a kind of generalized Motzkin paths, called G-Motzkin paths…
Editorial: The foundations of mathematics and theoretical biology
- Computer Science, MedicineBiosyst.
SHOWING 1-10 OF 55 REFERENCES
Circular codes, symmetries and transformations
- Computer ScienceJournal of mathematical biology
This article studies the symmetries and transformations that connect different circular codes and shows that the class of 216 $$C^3$$C3 maximal self-complementary codes can be partitioned into 27 equivalence classes defined by a particular set of transformations.
Mathematical fundamentals for the noise immunity of the genetic code
Proper and Improper Forcing
This work deals with set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. Consequently, the theory of iterated…
Approximations and Endomorphism Algebras of Modules
The category of all modules over a general associative ring is too complex to admit any reasonable classification. Thus, unless the ring is of finite representation type, one must limit attempts at…
The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis.
- MathematicsProceedings of the National Academy of Sciences of the United States of America
Kurt Godel, mathematician and logician, was one of the most influential thinkers of the twentieth century and ranked higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk.
Unitary circular code motifs in genomes of eukaryotes
Infinite abelian groups, whitehead problem and some constructions
We solve here some problems from Fuchs’ book. We show that the answer to Whitehead’s problem (for groups of power ℵ1) is independent from the usual axioms of set theory. We prove the existence of…
Circular code motifs in genomes of eukaryotes.
- BiologyJournal of theoretical biology
The maximality of circular codes in genes statistically verified
- Biology, Computer ScienceBiosyst.
A New Result on Comma-Free Codes of Even Word-Length
- Computer ScienceCanadian Journal of Mathematics
Comma-free codes were first introduced in  in 1957 as a possible genetic coding scheme for protein synthesis and the biochemical and mathematical aspects of the problem were later summarized and extended in .