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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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Development of a suite of activatable plant synthetic promoter systems using a bacterial LysR-type transcriptional regulator FdeR [PDF]
Synthetic and Systems BiotechnologyAdvancing plant synthetic biology requires an abundant supply of orthogonal and tunable genetic parts to express multiple genes simultaneously. Current genetic parts, particularly promoters, used in plants are still limited and often suffer from tissue ...
Yinan Wu, Curtis Chen, Sijin Li
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On Expressing and Monitoring Oscillatory Dynamics [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 To express temporal properties of dense-time real-valued signals, the Signal Temporal Logic (STL) has been defined by Maler et al. The work presented a monitoring algorithm deciding the satisfiability of STL formulae on finite discrete samples of ...
Luboš Brim +2 more
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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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