Abstract
This paper shows the possibility to create the basis of a computational (mathematical) model for the relationship between the volume of antimicrobial consumption (VAC) and the frequency of antimicrobial resistance in the human communities, based on an analogy with oscillations and wavelets. A heuristic algorithm for generating asymmetrical practical test functions (ie PTF) using MATLAB procedures was elaborated. Based on the fact that differential equations can generate only functions similar to test functions (defined as practical test functions), the invariance general properties suitable for generating symmetrical pulses as related to the middle of the working interval are presented.
Then some possibilities for obtaining asymmetrical pulses as related to this middle of the working interval using the derivative of such symmetrical pulse are studied, for certain differential equations corresponding to second order systems (with unity-step input and for an input represented by a Gaussian pulse). Finally it is shown that we can reach an oscillating system by joining such working intervals and restoring the initial null conditions for a second order system, in an adequate manner.
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References
Toma, C.: An extension of the notion of observability at filtering and sampling devices. In: Proceedings of the International Symposium on Signals, Circuits and Systems Iasi SCS 2001, Romania, pp. 233–236 (2001)
Toma, C.: The possibility of appearing acausal pulses as solutions of the wave equation. The Hyperion Scientific Journal 41, 25–28 (2004)
Toma, G.: Practical test-functions generated by computer algorithms. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 576–584. Springer, Heidelberg (2005)
Kulikov, G.: An advanced version of the local-global step-size control for Runge-Kutta methods applied to index 1 differential algebraic systems. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds.) ICCS 2004. LNCS, vol. 3037, pp. 565–569. Springer, Heidelberg (2004)
Zhang, Z., Ping, B., Dong, W.: Oscillation of unstable type second order nonlinear difference equation. Korean J. Computer and Appl. Math. 91, 87–99 (2002)
Toma, C.: The necessity for using oscillating systems for sampling optoelectronic signals. Bulgarian Journal of Physics 27, Suppl. 2, 187–190 (2000)
Toma, C.: Filtering possibilities based on oscillating systems for optoelectronic signals. In: SPIE Proceedings, vol. 4430, pp. 842–845 (2001)
Cattani, C.: Harmonic Wavelets towards Solution of Nonlinear PDE. Computers and Mathematics with Applications 50, 1191–1210 (2005)
Rushchitsky, J.J., Cattani, C., Terletskaya, E.V.: Wavelet Analysis of the evolution of a solitary wave in a composite material. International Applied Mechanics 40(3), 311–318 (2004)
Sterian, A., Toma, C.: Filtering possibilities for processing optoelectronic current for acceleration measurements. In: SPIE Proceedings, vol. 4827, pp. 403–408 (2002)
Sterian, A., Toma, C.: Phase detection for vibration measurements based on test functions. In: SPIE Proceedings, vol. 5503, pp. 164–168 (2004)
Toma, C.: Equations with partial derivatives and differential equations used for simulating acausal pulses. In: International Conference Physics and Control Physcon 2003, August 20-22, pp. 1178–1183. Sankt-Petersburg, Russia (2003)
Cattani, C.: Multiscale Analysis of Wave Propagation in Composite Materials. Mathematical Modelling and Analysis 84, 267–282 (2003)
Paun, V.P.: A Model for the Accurate Determination of Crystaline Network Parameters. Revue Roumaine de Chimie 54(4), 335–336 (2003)
Paun, V.P.: Computer programme for the determination of the crystalline network parameters. Revue Roumaine de Chimie 49(1), 85–92 (2004)
Paun, V.P.: A creep collapse model for thin-walled Zircolay-4 tubes. Revue Roumaine de Chimie 48(11), 903–906 (2003)
Cattani, C.: Harmonic Wavelet Solutions of the Schroedinger Equation. International Journal of Fluid Mechanics Research 5, 1–10 (2003)
Austin, D.J., Kristinsson, K.G., Anderson, R.M.: The relationship between the volume of antimicrobial consumption in human communities and the frequency of resistance. Proc. Natl. Acd. Sci. USA, 1152–1156 (1996)
Lipsitch, M., Samore, M.H.: Antimicrobial Use and Antimicrobial Resistance: A Population Perspective. Emerg. Inf. Diseases 8(4) (2002)
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Codita, I., Pusca, S. (2008). PTF Model for Evaluating the Relationships between the VAC and Antimicrobial Resistance in Human Communities. In: Elloumi, M., Küng, J., Linial, M., Murphy, R.F., Schneider, K., Toma, C. (eds) Bioinformatics Research and Development. BIRD 2008. Communications in Computer and Information Science, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70600-7_49
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DOI: https://doi.org/10.1007/978-3-540-70600-7_49
Publisher Name: Springer, Berlin, Heidelberg
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