A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation [PDF]
, 2016 In this paper, we consider a rather general linear evolution equation of fractional type, namely a diffusion type problem in which the diffusion operator is the $s$th power of a positive definite operator having a discrete spectrum in $\R^+$.
Sprekels, Jürgen, Valdinoci, Enrico
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Multi-input regulation and logic with T7 promoters in cells and cell-free systems. [PDF]
PLoS ONE, 2013 Engineered gene circuits offer an opportunity to harness biological systems for biotechnological and biomedical applications. However, reliance on native host promoters for the construction of circuit elements, such as logic gates, can make the ...
Sukanya Iyer +4 more
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A Note on “Wiener Index of a Fuzzy Graph and Application to Illegal Immigration Networks”
Applied Sciences, 2021 Connectivity parameters have an important role in the study of communication networks. Wiener index is such a parameter with several applications in networking, facility location, cryptology, chemistry, and molecular biology, etc.
Hoon Lee, Xue-gang Chen, Moo Young Sohn
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Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique
Biology, 2020 In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition
Wei Gao +3 more
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Operations Research Models for Computational Biology, Bioinformatics and Medicine [PDF]
Journal of Mathematical Modelling and Algorithms, 2010 This special issue collects five papers that were presented at the Mini EURO Conference on Computational Biology, Bioinformatics and Medicine organized by the EURO Working Group on Operational Research in Computational Biology, Bioinformatics and Medicine (EURO-CBBM).
Metin Turkay +2 more
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Construction of stochastic hybrid path integrals using operator methods [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 Stochastic hybrid systems involve the coupling between discrete and continuous stochastic processes. They are finding increasing applications in cell biology, ranging from modeling promoter noise in gene networks to analyzing the effects of ...
P. Bressloff
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Rigorous elimination of fast stochastic variables from the linear noise approximation using projection operators [PDF]
, 2012 The linear noise approximation (LNA) offers a simple means by which one can study intrinsic noise in monostable biochemical networks. Using simple physical arguments, we have recently introduced the slow-scale LNA (ssLNA) which is a reduced version of ...
A. N. Tikhonov +9 more
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On the Use of Adaptive Resemblance Terms in Chemical Ecology
Psyche: A Journal of Entomology, 2012 Many organisms (mimics) show adaptive resemblance to an element of their environment (model) in order to dupe another organism (operator) for their own benefit.
Christoph von Beeren +2 more
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The role of costimulatory molecules in glioma biology and immune microenvironment
Frontiers in Genetics, 2022 Background: Extensive research showed costimulatory molecules regulate tumor progression. Nevertheless, a small amount of literature has concentrated on the potential prognostic and therapeutic effects of costimulatory molecules in patients with glioma ...
Ji Wang +7 more
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Advances in Difference Equations, 2010 We consider the rate of convergence to equilibrium of Volterra integrodifferential equations with infinite memory. We show that if the kernel of Volterra operator is regularly varying at infinity, and the initial history is regularly varying at minus ...
John A. D. Appleby
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