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Operator Dynamics in Molecular Biology [PDF]

open access: greenInternational Conference on Computing, Networking and Communications, 2005
In this paper we propose one way of mathematical formulation of structure of molecular activity from operator algebraic view points.
Tsuyoshi Kato
semanticscholar   +4 more sources

Applications of the Neutrosophic Poisson Distribution for Bi-Univalent Functions Involving the Modified Caputo’s Derivative Operator

open access: yesFractal and Fractional, 2022
This paper establishes the upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a family which involves Bazilevic functions and μ-pseudo-starlike functions under a new operator, joining the neutrosophic Poisson ...
S. Santhiya, K. Thilagavathi
doaj   +2 more sources

On the Numerical Solution of Fractional Boundary Value Problems by a Spline Quasi-Interpolant Operator

open access: yesAxioms, 2020
Boundary value problems having fractional derivative in space are used in several fields, like biology, mechanical engineering, control theory, just to cite a few.
Francesca Pitolli
doaj   +2 more sources

Permutation tests for the equality of covariance operators of functional data with applications to evolutionary biology [PDF]

open access: goldElectronic Journal of Statistics, 2017
In this paper, we generalize the metric-based permutation test for the equality of covariance operators proposed by Pigoli et al. (2014) to the case of multiple samples of functional data. To this end, the non-parametric combination methodology of Pesarin and Salmaso (2010) is used to combine all the pairwise comparisons between samples into a global ...
Alessandra Cabassi   +3 more
openalex   +9 more sources

Degenerate Diffusion Operators Arising in Population Biology

open access: green, 2011
We analyze a class of partial differential equations that arise as "backwards Kolmogorov operators" in infinite population limits of the Wright-Fisher models in population genetics and in mathematical finance. These are degenerate elliptic operators defined on manifolds with corners. The classical example is the Kimura diffusion operator, which acts on
Charles L. Epstein, Rafe Mazzeo
openalex   +4 more sources

Pragmatic turn in biology: From biological molecules to genetic content operators

open access: goldWorld Journal of Biological Chemistry, 2014
Erwin Schrödinger's question "What is life?" received the answer for decades of "physics + chemistry". The concepts of Alain Turing and John von Neumann introduced a third term: "information". This led to the understanding of nucleic acid sequences as a natural code. Manfred Eigen adapted the concept of Hammings "sequence space".
Guenther Witzany
  +6 more sources

A source inverse problem for the pseudo–parabolic equation with the fractional Sturm–Liouville operator

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
A class of inverse problems for restoring the right-hand side of the pseudo-parabolic equation with one fractional Sturm–Liouville operator is considered.
D. Serikbaev, N. Tokmagambetov
doaj   +2 more sources

New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain

open access: yesFractal and Fractional
Recently, a number of researchers from different fields have taken a keen interest in the domain of fractional q-calculus on the basis of fractional integrals and derivative operators.
Mohammad Faisal Khan, Mohammed AbaOud
doaj   +2 more sources

A multi-objective evolutionary algorithm for detecting protein complexes in PPI networks using gene ontology [PDF]

open access: yesScientific Reports
Detecting protein complexes is crucial in computational biology for understanding cellular mechanisms and facilitating drug discovery. Evolutionary algorithms (EAs) have proven effective in uncovering protein complexes within networks of protein–protein ...
Mustafa N. Abbas   +2 more
doaj   +2 more sources

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