The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
A Survey of Fractional-Order Circuit Models for Biology and Biomedicine
Abstract
In this survey, we present many of the fractional- order circuit models used in biomedicine and biology to fit experimentally collected impedance data. An overview of the different methods used to extract the impedance parameters from collected datasets are also presented. Applications of fractional order circuit models for modelling human tissue, plant physiology, respiratory systems, and tissue-electrode interfaces are presented to highlight the significance of these models and their potential for further research. This survey is of a tutorial nature intended as an introduction to fractional-order circuit models and to consolidate the many models reported across literature.
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Cites
Fractional Differential Equations
(2025) · MDPI eBooks · doi:10.3390/books978-3-7258-4742-6 · Cited by 20,278
Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics
Cole, K. S., & Cole, R. H. (1941) · The Journal of Chemical Physics · doi:10.1063/1.1750906 · Cited by 10,152
An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
Coleman, T. F., & Li, Y. (1996) · SIAM Journal on Optimization · doi:10.1137/0806023 · Cited by 3,320
(1974) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(09)x6012-1 · Cited by 2,508
Fractional Calculus in Bioengineering
West, B. J. (2007) · Journal of Statistical Physics · doi:10.1007/s10955-007-9294-0 · Cited by 1,979
Input impedance and peripheral inhomogeneity of dog lungs
Hantos, Z., Daroczy, B., Suki, B., Nagy, S., & Fredberg, J. J. (1992) · Journal of Applied Physiology · doi:10.1152/jappl.1992.72.1.168 · Cited by 844
Fractional Calculus for Scientists and Engineers
Ortigueira, M. D. (2011) · Lecture Notes in Electrical Engineering · doi:10.1007/978-94-007-0747-4 · Cited by 780
Analogue Realizations of Fractional-Order Controllers
Podlubny, I., Petráš, I., Vinagre, B. M., O'Leary, P., & Dorčák, Ľ. (2002) · Nonlinear Dynamics · doi:10.1023/a:1016556604320 · Cited by 628
Fractional-Order Circuits and Systems: An Emerging Interdisciplinary Research Area
Elwakil, A. (2010) · IEEE Circuits and Systems Magazine · doi:10.1109/mcas.2010.938637 · Cited by 577
PERMEABILITY AND IMPERMEABILITY OF CELL MEMBRANES FOR IONS
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Metadata
- Authors
- Freeborn, T. J.
- Venue
- IEEE Journal on Emerging and Selected Topics in Circuits and Systems
- Published
- 2013-09
- Volume
- 3
- Issue
- 3
- Pages
- 416-424
- ISSN
- 2156-3357 (ISSN-L)
- 2156-3365
- OpenAlex
- W2079525922
- Cited by
- 353
- References
- 28
- FWCI
- 16.32
- Type
- journal article
- Language
- en
- Open access
- closed
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