Relevant bibliographies by topics / Applied mathematics, n.e.c

Academic literature on the topic 'Applied mathematics, n.e.c'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Applied mathematics, n.e.c"

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Rosay, Jean-Pierre, and Walter Rudin. "Holomorphic Maps from C n to C n." Transactions of the American Mathematical Society 310, no. 1 (November 1988): 47. http://dx.doi.org/10.2307/2001110.

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Rosay, Jean-Pierre, and Walter Rudin. "Holomorphic maps from ${\bf C}\sp n$ to ${\bf C}\sp n$." Transactions of the American Mathematical Society 310, no. 1 (January 1, 1988): 47. http://dx.doi.org/10.1090/s0002-9947-1988-0929658-4.

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Platonov, V. P., and D. Ž. Đoković. "Subgroups of $GL(n^2, \bold C)$ containing $PSU(n)$." Transactions of the American Mathematical Society 348, no. 1 (1996): 141–52. http://dx.doi.org/10.1090/s0002-9947-96-01466-3.

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Park, Chun-Gil, and Themistocles M. Rassias. "The N-Isometric Isomorphisms in Linear N-Normed C*-Algebras." Acta Mathematica Sinica, English Series 22, no. 6 (September 22, 2006): 1863–90. http://dx.doi.org/10.1007/s10114-005-0878-9.

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Range, R. M., and M. I. Stessin. "Bounded Point Evaluation in C n." Transactions of the American Mathematical Society 347, no. 6 (June 1995): 2169. http://dx.doi.org/10.2307/2154930.

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Cima, Joseph A., and Emil J. Straube. "Boundary Uniqueness Theorems in C n." Transactions of the American Mathematical Society 294, no. 1 (March 1986): 333. http://dx.doi.org/10.2307/2000134.

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Repovs, Dusan, Arkadij B. Skopenkov, and Evgenij V. Scepin. "$C^1$-homogeneous compacta in $\mathbb {R}^n$ are $C^1$-submanifolds of $\mathbb {R}^n$." Proceedings of the American Mathematical Society 124, no. 4 (1996): 1219–26. http://dx.doi.org/10.1090/s0002-9939-96-03157-7.

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Bich Thuy, Nguyen Thi, and Maria Aparecida Soares Ruas. "On singular varieties associated to a polynomial mapping from $\mathbb{C}^n$ to $\mathbb{C}^{n-1}$." Asian Journal of Mathematics 22, no. 6 (2018): 1157–72. http://dx.doi.org/10.4310/ajm.2018.v22.n6.a9.

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Suen, Ching-Yun. "An n × n Matrix of Linear Maps of a C ∗ -Algebra." Proceedings of the American Mathematical Society 112, no. 3 (July 1991): 709. http://dx.doi.org/10.2307/2048692.

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Zhao, Liankuo. "Unitary Weighted Composition Operators on the Fock Space of $$\mathbb C ^n$$ C n." Complex Analysis and Operator Theory 8, no. 2 (June 11, 2013): 581–90. http://dx.doi.org/10.1007/s11785-013-0313-7.

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Dissertations / Theses on the topic "Applied mathematics, n.e.c"

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Stembridge, John Reese. "Combinatorial decompositions of characters of SL(n,C)." Thesis, Massachusetts Institute of Technology, 1985. http://hdl.handle.net/1721.1/15237.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1985.
MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.
Includes index.
Bibliography: p. 151-153.
by John Reese Stembridge.
Ph.D.
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Wospakrik, Hans Jacobus. "Harmonic maps, SU (N) Skyrme models and Yang-Mills theories." Thesis, Durham University, 2002. http://etheses.dur.ac.uk/4100/.

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This thesis examines the construction of static solutions of (3+l)-dimensional SU{N) Skyrme models, usual and alternative, and pure massive SU(N) Yang-Mills theories. In particular, the application of harmonic maps from S(^2) into the subspace of fields configuration space M. Here, the harmonic maps are used as an ansatz to factoring out the angular dependence part of the solutions from the field equations. In this thesis, we consider the harmonic maps S(^2) → Gr(n, N), where Gr(n, N) is the Grassmann manifold of n-dimensional planes passing through the origin in C(^N). Using the harmonic map ansatz of S(^2) → Gr(2, N) to study the usual SU(N) Skyrme models, we have found that our approximate solutions have marginally higher energies in comparison to the corresponding results previously obtained using CP(^N-1) as target space M. For exact spherically symmetric solutions, we present arguments which suggest that the only solutions obtained this way are embeddings. For the alternative SU(N) Skyrme models, using the harmonic map ansatz of S(^2) → CP(^N-1), we have found that our results for the energies of the exact spherically symmetric solutions are higher than in the usual models. When considering the pure massive SU(N) Yang-Mills theories, we have shown that by choosing the gauge potential to be of almost pure gauge form, the theories reduce to the usual SU(N) Skyrme models. This observation has suggested to us to consider the harmonic map ansatz of S(^2) → CP(^N-1) previously applied to monopole theories. Using this ansatz, we have constructed some bounded spherically symmetric solutions of the theories having finite energies.
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Flournoy, Cecil Buford Jr. "N-parameter Fibonacci AF C*-Algebras." Diss., University of Iowa, 2011. https://ir.uiowa.edu/etd/1221.

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An n-parameter Fibonacci AF-algebra is determined by a constant incidence matrix K of a special form. The form of the matrix K is defined by a given n-parameter Fibonacci sequence. We compute the K-theory of certain Fibonacci AF-algebra, and relate their K-theory to the K-theory of an AF-algebra defined by incidence matrices that are the transpose of K.
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Chapovalova, Valentina. "Decomposition of Certain C[Sn]-modules into Specht Modules." Thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-120505.

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Ramirez, Ivan. "Mathematical Modeling of Immune Responses to Hepatitis C Virus Infection." Digital Commons @ East Tennessee State University, 2014. https://dc.etsu.edu/etd/2425.

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An existing mathematical model of ordinary differential equations was studied to better understand the interactions between hepatitis C virus (HCV) and the immune system cells in the human body. Three possible qualitative scenarios were explored: dominant CTL response, dominant antibody response, and coexistence. Additionally, a sensitivity analysis was carried out to rank model parameters for each of these scenarios. Therapy was addressed as an optimal control problem. Numerical solutions of optimal controls were computed using a forward-backward sweep scheme for each scenario. Model parameters were estimated using ordinary least squares fitting from longitudinal data (serum HCV RNA measurements) given in reported literature.
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Halouani, Borhen. "Ensembles localement pics dans les bords faiblement pseudoconvexes de $\C^n$." Phd thesis, Université du Littoral Côte d'Opale, 2006. http://tel.archives-ouvertes.fr/tel-00084010.

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On donnera des conditions suffisantes pour qu'une sous variété $C^{\omega}$ (resp. $C^{\infty}$), totalement réelle, complexe-tangentielle, de dimension (n − 1) dans le bord bD d'un domaine D faiblement pseudoconvexe dans $\C^n$ et à bord $C^{\omega}$ (resp. $C^\infty$), soit un ensemble localement pic pour la classe $\mathcal{O}$ (resp. $A^{\infty$}).
Ensuite, on donnera des résultats sur les ensembles localement d'interpolations pour la classe $A^{\infty}$.
Quant à la classe \mathcal{O}$, nous avons généralisé les travaux de L. Boutet de Monvel et A. Iordan concernant la caractérisation des courbes pics dans les bords faiblement pseudoconvexes de $\C^2$. Quant
à la classe $A^{\infty}$, nous étendrons les résultats obtenus pour la classe $\mathcal{O}$ en utilisant les méthodes de construction faite par M. Hakim et N. Sibony dans le cas des ensembles pics dans les domaines strictement pseudoconvexes. Finalement, on donnera des conséquences pour le multitype de D. Catlin de nos conditions suffisantes.
La difficulté principale de nos travaux est que dans les dimensions supérieures la géométrie complexe
du bord d'un domaine a une structure non-isotrope. Les nombres caractéristiques de cette anisotropie
se traduisent par un calcul délicat sur des polynômes à poids. Il s'avère aussi que ces nombres ont
un lien direct avec le multitype des points du bord le long de la sous variété.
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Medeiros, Nicholas J. "Computational Fluid Dynamics Simulations of Radial Dispersion in Low N Fixed Bed Reactors." Digital WPI, 2015. https://digitalcommons.wpi.edu/etd-theses/1306.

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Fixed bed reactors are widely applicable in a range of chemical process industries. Their ease of use and simplified operation make them an attractive and preferred option in reactor selection, however the geometric complexities within the bed as a result of the unstructured packing has made the design of such beds historically based on pseudo-homogenous models together with correlation-based transport parameters. Low tube-to-particle diameter ratio (N) beds, in particular, are selected for highly exothermic or endothermic reactions, such as in methane steam reforming or alkane dehydrogenation. Due to the large fraction of tube to catalyst particle contact in these low N beds, wall effects induce a mass transfer boundary layer at the wall, and in the case of thermal beds, a simultaneous resistance to heat transfer. Computational Fluid Dynamics (CFD) has been shown to be an accurate tool for experimental validation and predictive analysis of packed beds, and may be used to derive more accurate design parameters for fixed bed reactors. More specifically, the elucidation of dispersion, or the transport of reactant and product within the bed due to molecular diffusion and convective flow is of fundamental interest to the design of fixed beds. Computational Fluid Dynamics was used in this research to study solute dispersion in eight beds of varying N at a range of particle Reynolds numbers in the laminar flow regime. In the first stage of research, flow development was simulated in three-dimensional packed beds of spheres. Then, the reactor wall was sectioned to include a boundary condition of pure methane, from which the solute could laterally disperse into the bed. In the second stage, a two-dimensional representation of the bed was created using the commercial Finite Element Analysis software COMSOL Multiphysics. In these models, axial velocity profiles and radial methane concentration profiles taken from the 3-D models were supplied, and a fitting procedure by use of the Levenberg-Marquardt Least-Squares optimization algorithm was completed to fit radial dispersion coefficients and near-wall mass transfer coefficients to the CFD data. These optimization runs were conducted for all N at a number of bed depths in each case. Two sub-studies were conducted in which a constant velocity profile and a local velocity profile were supplied to the 2-D model, and the optimization re-run. It was found that this two parameter model did not fully account for various mechanisms of dispersion in the bed, namely the increasing rate of dispersion from the tube wall boundary layer up to the bed center, but only accounted for a diffusive-dispersion at the wall and a constant-rate, convective-dispersion everywhere else in the bed. Length dependency of dispersion coefficients were also noted, particularly in the developing sections of the bed. Nevertheless, the combined CFD and optimization procedure proved to be an accurate and time-efficient procedure for the derivation of dispersion coefficients, which may then lend themselves to the standard design of packed bed reactors.
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Thompson, Scotty L. "Comparing Topological Spaces Using New Approaches to Cleavability." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3372574.

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Aduba, Chukwuemeka Nnabuife. "N-Player Statistical Nash Game Control: M-th Cost Cumulant Optimization." Diss., Temple University Libraries, 2014. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/298838.

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Electrical and Computer Engineering
Ph.D.
Game theory is the study of tactical interactions involving conflicts and cooperations among multiple decision makers called players with applications in diverse disciplines such as economics, biology, management, communication networks, electric power systems and control. This dissertation studies a statistical differential game problem where finite N players optimize their system performance by shaping the distribution of their cost function through cost cumulants. This research integrates game theory with statistical optimal control theory and considers a statistical Nash non-cooperative nonzero-sum game for a nonlinear dynamic system with nonquadratic cost functions. The objective of the statistical Nash game is to find the equilibrium solution where no player has the incentive to deviate once other players maintain their equilibrium strategy. The necessary condition for the existence of the Nash equilibrium solution is given for the m-th cumulant cost optimization using the Hamilton-Jacobi-Bellman (HJB) equations. In addition, the sufficient condition which is the verification theorem for the existence of Nash equilibrium solution is given for the m-th cumulant cost optimization using the Hamilton-Jacobi-Bellman (HJB) equations. However, solving the HJB equations even for relatively low dimensional game problem is not trivial, we propose to use neural network approximate method to find the solution of the HJB partial differential equations for the statistical game problem. Convergence proof of the neural network approximate method solution to exact solution is given. In addition, numerical examples are provided for the statistical game to demonstrate the applicability of the proposed theoretical developments.
Temple University--Theses
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Gallagher, Julie Marie. "The synthesis of 1-acetamido-2,6-anhydro-1,7-deoxy-L-glycero-L-galactitol (N-[β-L-fucopyranosylomethyl]-acetamide) and related derivatives." Scholarly Commons, 1989. https://scholarlycommons.pacific.edu/uop_etds/2182.

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One important goal of this thesis is the hydrogenation of the glycosyl cyanide, which has never been mentioned by any of the groups who have done work in this area, except for B. Coxon and G. Fletcher, who in 1964, reduced a tetra-O-acetyl-β-D-galactopyranosyl cyanide with lithium aluminum hydride. We were hoping to obtain, by reduction with hydrogen on Pd/C, an aminomethyl C-glycoside. It is believed that these aminomethyl C-glycosides are of potential biological importance especially in the area of AIDS and HIV therapy.
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Books on the topic "Applied mathematics, n.e.c"

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Serge, Lang, ed. Heat Eisenstein series on SL[subscript n](C). Providence, R.I: American Mathematical Society, 2009.

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Jorgenson, Jay. Heat Eisenstein series on SL[subscript n](C). Providence, R.I: American Mathematical Society, 2009.

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Jorgenson, Jay. Heat Eisenstein series on SL[subscript n](C). Providence, R.I: American Mathematical Society, 2009.

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Boutet, Monvel Anne, and Georgescu Vladimir, eds. C 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Basel: Birkhäuser Basel, 1996.

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Boutet de Monvel-Berthier, Anne, 1948- and Georgescu V. 1947-, eds. C₀-groups, commutator methods, and spectral theory of N-Body Hamiltonians. Basel: Birkhäuser Verlag, 1996.

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1947-, Harris Sandra L., ed. Applied numerical methods for engineers using MATLAB and C. Pacific Grove, CA: Brooks/Cole, 2000.

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1939-, Tzafestas S. G., and Hellēnikē Mathēmatikē Hetaireia, eds. Selected papers of Demetrios C. Magiros: Applied mathematics, nonlinear mechanics, and dynamical systems analysis. Dordrecht, Holland: D. Reidel Pub. Co., 1985.

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Szczeciński, Przemysław. Próba zastosowania sprężenia spinowo-spinowego ¹³C, ¹⁹F do badania konformacji kompleksów (n⁶-fluoroaren) trikarbonylchrom i ich pochodnych. Warszawa: Oficyna Wydawnicza Politechniki Warszawskiej, 1993.

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H, Hubbard John. Newton's method applied to two quadratic equations in C₂ viewed as a global dynamical system. Providence, RI: American Mathematical Society, 2008.

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T, Vetterling William, ed. Numerical recipes example book (C++). 2nd ed. Cambridge, [England]: Cambridge University Press, 2002.

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Book chapters on the topic "Applied mathematics, n.e.c"

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Godinho, Aloysius, and T. Singh. "Group Distance Magic Labeling of $$C_n^r$$ C n r." In Algorithms and Discrete Applied Mathematics, 187–92. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53007-9_17.

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Fujino, Osamu. "$$\overline{C}_{n, n-1}$$ Revisited." In SpringerBriefs in Mathematics, 97–111. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-3347-1_5.

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Brenner, Susanne C., and L. Ridgway Scott. "n-Dimensional Variational Problems." In Texts in Applied Mathematics, 129–54. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-3658-8_6.

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Brenner, Susanne C., and L. Ridgway Scott. "n-Dimensional Variational Problems." In Texts in Applied Mathematics, 123–48. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4757-4338-8_6.

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Kundu, Amitava, and Pritha Das. "Global Stability and Chaos-Control in Delayed N-Cellular Neural Network Model." In Applied Mathematics, 251–56. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2547-8_25.

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Eriksson, Kenneth, Donald Estep, and Claes Johnson. "N-Body Systems*." In Applied Mathematics: Body and Soul, 709–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05798-8_22.

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Kwiatkowski, Jan, and Dzanan Bajgoric. "Automatic Parallelization of ANSI C to CUDA C Programs." In Parallel Processing and Applied Mathematics, 459–70. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78024-5_40.

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Dovbush, P. V. "Applications of Zalcman’s Lemma in C N." In Trends in Mathematics, 67–74. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-87502-2_8.

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Mendes, Sérgio. "On the K-Theory of the Reduced $$C^*$$ C ∗ -Algebras of $$GL(n,\mathbb {R})$$ G L ( n , R ) and $$GL(n,\mathbb {C})$$ G L ( n , C )." In Springer Proceedings in Mathematics & Statistics, 93–103. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49984-0_6.

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Zhou, Sizhong, Tao Zhang, and Zurun Xu. "Subgraphs with Orthogonal $$[0,k_{i}]_{1}^{n}$$ [ 0 , k i ] 1 n -Factorizations in Graphs." In Algorithms and Discrete Applied Mathematics, 362–70. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53007-9_32.

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Conference papers on the topic "Applied mathematics, n.e.c"

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Kadry, Seifedine, and Chibli Joumaa. "Solutions behavior of the system of rational difference equations x[sub n+1] = ax[sub n]+y[sub n], y[sub n+1] = by[sub n]x[sub n]." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756240.

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Szűgyi, Zalán, Márk Török, Norbert Pataki, Tamás Kozsik, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Multicore C++ Standard Template Library with C++0x." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636868.

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Kadry, Seifedine, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Analytic Solution of the Stochastic System of Rational Difference Equations x[sub n] = ay[sub n−p],y[sub n] = bx[sub n+p−2]." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636770.

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Abramov, Viktor, Olga Liivapuu, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Algebraic Model for N-Connection." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636715.

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Rimadhany, Ruzika, and Darmaji. "Local metric dimension of circulant graph circ(n:1,2,…,n+12)." In INTERNATIONAL CONFERENCE ON MATHEMATICS: PURE, APPLIED AND COMPUTATION: Empowering Engineering using Mathematics. Author(s), 2017. http://dx.doi.org/10.1063/1.4994456.

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Cetin, Elif, Hatice Ozbay, Muge Togan, I. Naci Cangul, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Properties of n-th Degree Bernstein Polynomials." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636745.

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Abhary, Kazem, and Ahmad Nourbakhsh. "Computer-Aided Analysis of Free Transverse-Vibration of Stepped Beams." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/dac-34054.

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This method simulates a stepped beam by substructuring it into its n spans and treating each of which as a uniform continuous beam, clamped to its adjacent spans. Thus, at each step of the stepped beam, the two adjacent spans have identical displacements, slopes, bending moments and shearing forces. Theoretically speaking, these boundary conditions along with those of the extreme ends (total of 4n), when applied to the vibration equation of corresponding spans, generate a set of 4n simultaneous equations whose solution generates the natural frequencies of the stepped beam, as well as the constants of the vibration equation of all spans. The mathematical algorithm furnished herein degenerates the above-mentioned 4n simultaneous equations into groups of four at a time and solves them one after the other. The algorithm is programmed in VISUAL C++, and its accuracy is justified via application to a five-span stepped-beam.
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Ahnert, Karsten, Mario Mulansky, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Odeint – Solving Ordinary Differential Equations in C++." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637934.

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González, Eduardo, and Marcelo J. Villena. "Stability analysis for spatial attrition with n forces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756415.

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Hitzer, Eckhard, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Real Clifford Algebra Cl[sub n,0], n = 2, 3(mod 4) Wavelet Transform." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241591.

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Reports on the topic "Applied mathematics, n.e.c"

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Jorgensen, Frieda, Andre Charlett, Craig Swift, Anais Painset, and Nicolae Corcionivoschi. A survey of the levels of Campylobacter spp. contamination and prevalence of selected antimicrobial resistance determinants in fresh whole UK-produced chilled chickens at retail sale (non-major retailers). Food Standards Agency, June 2021. http://dx.doi.org/10.46756/sci.fsa.xls618.

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Campylobacter spp. are the most common bacterial cause of foodborne illness in the UK, with chicken considered to be the most important vehicle for this organism. The UK Food Standards Agency (FSA) agreed with industry to reduce Campylobacter spp. contamination in raw chicken and issued a target to reduce the prevalence of the most contaminated chickens (those with more than 1000 cfu per g chicken neck skin) to below 10 % at the end of the slaughter process, initially by 2016. To help monitor progress, a series of UK-wide surveys were undertaken to determine the levels of Campylobacter spp. on whole UK-produced, fresh chicken at retail sale in the UK. The data obtained for the first four years was reported in FSA projects FS241044 (2014/15) and FS102121 (2015 to 2018). The FSA has indicated that the retail proxy target for the percentage of highly contaminated raw whole retail chickens should be less than 7% and while continued monitoring has demonstrated a sustained decline for chickens from major retailer stores, chicken on sale in other stores have yet to meet this target. This report presents results from testing chickens from non-major retailer stores (only) in a fifth survey year from 2018 to 2019. In line with previous practise, samples were collected from stores distributed throughout the UK (in proportion to the population size of each country). Testing was performed by two laboratories - a Public Health England (PHE) laboratory or the Agri-Food & Biosciences Institute (AFBI), Belfast. Enumeration of Campylobacter spp. was performed using the ISO 10272-2 standard enumeration method applied with a detection limit of 10 colony forming units (cfu) per gram (g) of neck skin. Antimicrobial resistance (AMR) to selected antimicrobials in accordance with those advised in the EU harmonised monitoring protocol was predicted from genome sequence data in Campylobacter jejuni and Campylobacter coli isolates The percentage (10.8%) of fresh, whole chicken at retail sale in stores of smaller chains (for example, Iceland, McColl’s, Budgens, Nisa, Costcutter, One Stop), independents and butchers (collectively referred to as non-major retailer stores in this report) in the UK that are highly contaminated (at more than 1000 cfu per g) with Campylobacter spp. has decreased since the previous survey year but is still higher than that found in samples from major retailers. 8 whole fresh raw chickens from non-major retailer stores were collected from August 2018 to July 2019 (n = 1009). Campylobacter spp. were detected in 55.8% of the chicken skin samples obtained from non-major retailer shops, and 10.8% of the samples had counts above 1000 cfu per g chicken skin. Comparison among production plant approval codes showed significant differences of the percentages of chicken samples with more than 1000 cfu per g, ranging from 0% to 28.1%. The percentage of samples with more than 1000 cfu of Campylobacter spp. per g was significantly higher in the period May, June and July than in the period November to April. The percentage of highly contaminated samples was significantly higher for samples taken from larger compared to smaller chickens. There was no statistical difference in the percentage of highly contaminated samples between those obtained from chicken reared with access to range (for example, free-range and organic birds) and those reared under standard regime (for example, no access to range) but the small sample size for organic and to a lesser extent free-range chickens, may have limited the ability to detect important differences should they exist. Campylobacter species was determined for isolates from 93.4% of the positive samples. C. jejuni was isolated from the majority (72.6%) of samples while C. coli was identified in 22.1% of samples. A combination of both species was found in 5.3% of samples. C. coli was more frequently isolated from samples obtained from chicken reared with access to range in comparison to those reared as standard birds. C. jejuni was less prevalent during the summer months of June, July and August compared to the remaining months of the year. Resistance to ciprofloxacin (fluoroquinolone), erythromycin (macrolide), tetracycline, (tetracyclines), gentamicin and streptomycin (aminoglycosides) was predicted from WGS data by the detection of known antimicrobial resistance determinants. Resistance to ciprofloxacin was detected in 185 (51.7%) isolates of C. jejuni and 49 (42.1%) isolates of C. coli; while 220 (61.1%) isolates of C. jejuni and 73 (62.9%) isolates of C. coli isolates were resistant to tetracycline. Three C. coli (2.6%) but none of the C. jejuni isolates harboured 23S mutations predicting reduced susceptibility to erythromycin. Multidrug resistance (MDR), defined as harbouring genetic determinants for resistance to at least three unrelated antimicrobial classes, was found in 10 (8.6%) C. coli isolates but not in any C. jejuni isolates. Co-resistance to ciprofloxacin and erythromycin was predicted in 1.7% of C. coli isolates. 9 Overall, the percentages of isolates with genetic AMR determinants found in this study were similar to those reported in the previous survey year (August 2016 to July 2017) where testing was based on phenotypic break-point testing. Multi-drug resistance was similar to that found in the previous survey years. It is recommended that trends in AMR in Campylobacter spp. isolates from retail chickens continue to be monitored to realise any increasing resistance of concern, particulary to erythromycin (macrolide). Considering that the percentage of fresh, whole chicken from non-major retailer stores in the UK that are highly contaminated (at more than 1000 cfu per g) with Campylobacter spp. continues to be above that in samples from major retailers more action including consideration of interventions such as improved biosecurity and slaughterhouse measures is needed to achieve better control of Campylobacter spp. for this section of the industry. The FSA has indicated that the retail proxy target for the percentage of highly contaminated retail chickens should be less than 7% and while continued monitoring has demonstrated a sustained decline for chickens from major retailer stores, chicken on sale in other stores have yet to meet this target.
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