Analysis of Equivalent Circuits for Cells: A Fractional Calculus Approach
Fractional order systems are considered by many mathematicians the systems of the XXI century. The reason is that nature has proved to be best described in terms of systems composed of fractional order derivatives. This emerging area of research is slowly gaining more strength in engineering, bioche...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | México |
| Institución: | Universidad de Guanajuato |
| Repositorio: | Redalyc-UG |
| OAI Identifier: | oai:redalyc.org:40423270004 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=40423270004 |
| Access Level: | acceso abierto |
| Palabra clave: | Ingeniería fractional calculus Electrical impedance fractional capacitor |
| Sumario: | Fractional order systems are considered by many mathematicians the systems of the XXI century. The reason is that nature has proved to be best described in terms of systems composed of fractional order derivatives. This emerging area of research is slowly gaining more strength in engineering, biochemistry, medicine, biophysics, among others. This paper presents an analysis in the frequency domain equivalent of cellular systems described by equations of integer and fractional order; it also carries out an analysis in time domain in order to display the memory capacity of fractional systems. It presents the fractional diff erential equations equivalent models and simulations comparing integer and fractional order. |
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