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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
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Operator-Level Quantum Acceleration of Non-Logconcave Sampling [PDF]
Proc Natl Acad Sci U S ASampling from probability distributions of the form [Formula: see text], where [Formula: see text] is a continuous potential, is a fundamental task across physics, chemistry, biology, computer science, and statistics. However, when [Formula: see text] is
Jiaqi Leng +3 more
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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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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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Қарағанды 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
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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
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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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Proceedings of the National Academy of Sciences of the United States of America, 2022 Significance A gene regulatory system is an important tool for the engineering of biosynthetic pathways of organisms. Here, we report the development of an inducible-ON/OFF regulatory system using a malO operator as a key element.
Gang Fu +5 more
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