Operator Dynamics in Molecular Biology [PDF]
International 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
Permutation tests for the equality of covariance operators of functional data with applications to evolutionary biology [PDF]
Electronic 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
On the numerical solution of fractional boundary value problems by a spline quasi-interpolant operator [PDF]
Axioms, 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.
Pitolli, Francesca
core +2 more sources
Degenerate Diffusion Operators Arising in Population Biology
, 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
On the well-posedness of some model arising in the mathematical biology [PDF]
arXivIn the article we establish the global well-posedness in W^{1, 2, 2}(R\times R^{+}) of the integro-differential equation in the case of the anomalous diffusion when the one dimensional negative Laplace operator is raised to a fractional power in the presence of the transport term.
M. Efendiev, V. Vougalter
arxiv +3 more sources
Pragmatic turn in biology: From biological molecules to genetic content operators
World 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
Accurate Reaction-Diffusion Operator Splitting on Tetrahedral Meshes for Parallel Stochastic Molecular Simulations [PDF]
Journal of Chemical Physics, 2015 Spatial stochastic molecular simulations in biology are limited by the intense computation required to track molecules in space either in a discrete time or discrete space framework, meaning that the serial limit has already been reached in sub-cellular ...
E. De Schutter +4 more
core +2 more sources
Information theory for data-driven model reduction in physics and biology [PDF]
bioRxiv, 2023 Model reduction is the construction of simple yet predictive descriptions of the dynamics of many-body systems in terms of a few relevant variables. A prerequisite to model reduction is the identification of these relevant variables, a task for which no ...
Matthew S. Schmitt +5 more
semanticscholar +1 more source
Dynamics of one-dimensional spin models under the line-graph operator [PDF]
Proceedings of the Royal Society A, 2021 We investigate the application of the line-graph operator to one-dimensional spin models with periodic boundary conditions. The spins (or interactions) in the original spin structure become the interactions (or spins) in the resulting spin structure.
M. A. Javarone, Josh A. O’Connor
semanticscholar +1 more source