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Degenerate Diffusion Operators Arising in Population Biology [PDF]
, 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
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Operator Dynamics in Molecular Biology [PDF]
, 2005 In this paper we propose one way of mathematical formulation of structure of molecular activity from operator algebraic view points.
Tsuyoshi Kato
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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
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Degenerate Diffusion Operators Arising in Population Biology [PDF]
, 2013 Charles L. Epstein, Rafe Mazzeo
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On the approximation theorem of Wong-Zakai type for the Lasota operator [PDF]
Opuscula Mathematica, 2010 We consider in this paper a stochastic evolution equation with Professor A. Lasota's operator as the infinitesimal generator of a strongly continuous semigroup of transformations and with Hammerstein operator connected with a noise being the Wiener ...
Antoni Leon Dawidowicz +1 more
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A study of incomplete I-functions relating to certain fractional integral operators
Applied Mathematics in Science and Engineering, 2023 The study discussed in this article is driven by the realization that many physical processes may be understood by using applications of fractional operators and special functions. In this study, we present and examine a fractional integral operator with
S. Bhatter +4 more
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Fractal 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
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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.
Francesca Pitolli
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The Fourier-Laplace Transform—A Conjugate Link Between the Material Brain and the Conscious Mind
Frontiers in Human Neuroscience, 2021 Recent attempts to establish the quantum boundaries of life is pursued. A pre-existing view of quantum biology is supplemented by the formulation of modern advances in theoretical chemical physics and quantum chemistry.
Erkki J. Brändas
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Is defining life pointless? Operational definitions at the frontiers of biology [PDF]
Synthese, 2017 Despite numerous and increasing attempts to define what life is, there is no consensus on necessary and sufficient conditions for life. Accordingly, some scholars have questioned the value of definitions of life and encouraged scientists and philosophers alike to discard the project.
Bich, Leonardo, Green, Sara
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