On p-adic mathematical physics
On p-adic mathematical physics | p-Adic Numbers, Ultrametric Analysis and Applications Skip
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p-Adic mathematical physics: the first 30 years
Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …
the application of p-adic mathematical methods in modeling physical and related …
A p-adic model of DNA sequence and genetic code
Using basic properties of p-adic numbers, we consider a simple new approach to describe
main aspects of DNA sequence and the genetic code. In our investigation central role plays …
main aspects of DNA sequence and the genetic code. In our investigation central role plays …
[LIBRO][B] Mathematics of bioinformatics: theory, methods and applications
M He, S Petoukhov - 2011 - books.google.com
Mathematics of Bioinformatics: Theory, Methods, and Applications provides a
comprehensive format for connecting and integrating information derived from mathematical …
comprehensive format for connecting and integrating information derived from mathematical …
Modeling fluid's dynamics with master equations in ultrametric spaces representing the treelike structure of capillary networks
A Khrennikov, K Oleschko, MJ Correa Lopez - Entropy, 2016 - mdpi.com
We present a new conceptual approach for modeling of fluid flows in random porous media
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
Genetic code on the diadic plane
We introduce the simple parametrization for the space of codons (triples of nucleotides) by
8× 8 table. This table (which we call the diadic plane) possesses the natural 2-adic …
8× 8 table. This table (which we call the diadic plane) possesses the natural 2-adic …
p-Adic mathematics and theoretical biology
The principal objective of this article is a brief overview of the main parts of p-adic
mathematics, which have already had valuable applications and may have a significant …
mathematics, which have already had valuable applications and may have a significant …
[HTML][HTML] Universal dynamical function behind all genetic codes: P-adic attractor dynamical model
The genetic code is a map which gives the correspondence between codons in DNA and
amino acids. In the attractor dynamical model (ADM), genetic codes can be described as the …
amino acids. In the attractor dynamical model (ADM), genetic codes can be described as the …
p-Adic hierarchical properties of the genetic code
In this article, we consider p-adic modeling of the standard genetic code and the vertebrate
mitochondrial one. To this end, we use 5-adic and 2-adic distance as a mathematical tool to …
mitochondrial one. To this end, we use 5-adic and 2-adic distance as a mathematical tool to …
[HTML][HTML] Ultrametric diffusion equation on energy landscape to model disease spread in hierarchic socially clustered population
A Khrennikov - Physica A: Statistical Mechanics and its Applications, 2021 - Elsevier
We present a new mathematical model of disease spread reflecting some specialties of the
COVID-19 epidemic by elevating the role of hierarchic social clustering of population. The …
COVID-19 epidemic by elevating the role of hierarchic social clustering of population. The …