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Volumn 8, Issue 4, 2013, Pages

Fractional Calculus Model of Electrical Impedance Applied to Human Skin

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; ELECTRIC CONDUCTIVITY; FRACTIONAL CALCULUS; HUMAN; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; QUALITY CONTROL; SKIN CONDUCTANCE;

EID: 84875915899     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0059483     Document Type: Article
Times cited : (54)

References (33)
  • 1
    • 0242585499 scopus 로고    scopus 로고
    • Numerical simulations of microtubule self-organisation by reaction-diffusion
    • Glade N, Demongeot J, Tabony J (2002) Numerical simulations of microtubule self-organisation by reaction-diffusion. Acta. Biotheoretica. 50: 4, 239-268.
    • (2002) Acta. Biotheoretica. , vol.50 , Issue.4 , pp. 239-268
    • Glade, N.1    Demongeot, J.2    Tabony, J.3
  • 2
    • 24944514354 scopus 로고    scopus 로고
    • Multi-agents computer simulation: towards a new way of research in allergy and immunodermatology
    • Desmeulles G, Dupré D, Rodin V, Misery L, (2003) Multi-agents computer simulation: towards a new way of research in allergy and immunodermatology. Journal of Investigative Dermatology 121: 1570.
    • (2003) Journal of Investigative Dermatology , vol.121 , pp. 1570
    • Desmeulles, G.1    Dupré, D.2    Rodin, V.3    Misery, L.4
  • 4
    • 0003797958 scopus 로고    scopus 로고
    • San Diego-Boston-New York-London-Tokyo-Toronto: Academic Press
    • Podlubny I (1999) Fractional Differential Equations. San Diego-Boston-New York-London-Tokyo-Toronto: Academic Press, 368 p.
    • (1999) Fractional Differential Equations , pp. 368
    • Podlubny, I.1
  • 6
    • 0004053611 scopus 로고    scopus 로고
    • San Francisco: John Wiley and Sons
    • Voet D, Voet JG (2011) Biochemistry. San Francisco: John Wiley and Sons, 1520 p.
    • (2011) Biochemistry , pp. 1520
    • Voet, D.1    Voet, J.G.2
  • 7
    • 3042776917 scopus 로고    scopus 로고
    • Fractional calculus in bioengineering 1
    • Magin RL, (2004) Fractional calculus in bioengineering 1. Critic. Rev. in Biomed. Eng. 32: 1-104.
    • (2004) Critic. Rev. in Biomed. Eng , vol.32 , pp. 1-104
    • Magin, R.L.1
  • 8
    • 4444254886 scopus 로고    scopus 로고
    • Fractional calculus in bioengineering 2
    • Magin RL, (2004) Fractional calculus in bioengineering 2. Critic. Rev. in Biomed. Eng. 32: 105-194.
    • (2004) Critic. Rev. in Biomed. Eng , vol.32 , pp. 105-194
    • Magin, R.L.1
  • 9
    • 0003474646 scopus 로고
    • One-dimensional theory. Birkhauser, Basel, and Academic Press, New York
    • Butzer PL, Nessel RJ (1971) Fourier Analysis and Approximation. Vol. 1: One-dimensional theory. Birkhauser, Basel, and Academic Press, New York, 553 p.
    • (1971) Fourier Analysis and Approximation , vol.1 , pp. 553
    • Butzer, P.L.1    Nessel, R.J.2
  • 12
    • 33750340240 scopus 로고    scopus 로고
    • Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad
    • Freed AD, Diethelm K, (2006) Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad. Biomechan. Model. Mechanobiol. 5: 203-215.
    • (2006) Biomechan. Model. Mechanobiol , vol.5 , pp. 203-215
    • Freed, A.D.1    Diethelm, K.2
  • 13
    • 33745833402 scopus 로고    scopus 로고
    • Application of fractional calculus to ultrasonic wave propagation in human cancellous bone
    • Sebaa N, Fellah A, Lauriks W, Depollier C, (2006) Application of fractional calculus to ultrasonic wave propagation in human cancellous bone. Signal Processing 86: 2668-2677.
    • (2006) Signal Processing , vol.86 , pp. 2668-2677
    • Sebaa, N.1    Fellah, A.2    Lauriks, W.3    Depollier, C.4
  • 14
    • 73849139817 scopus 로고    scopus 로고
    • Exact Solutions of Fractional-Order Biological Population Model
    • El-Sayed AMA, Rida SZ, Arafa AAM, (2009) Exact Solutions of Fractional-Order Biological Population Model. Commun. Theor. Phys. 52: 992-996.
    • (2009) Commun. Theor. Phys , vol.52 , pp. 992-996
    • El-Sayed, A.M.A.1    Rida, S.Z.2    Arafa, A.A.M.3
  • 15
    • 79952231477 scopus 로고    scopus 로고
    • Mesoscopic Fractional Kinetic Equations Versus A Riemann-Liuoville Integral Type
    • In: Sabatier J, Agrawal OP, Machado JAT editors. Dodrecht: Springer
    • Nigmatullin RR, Trujillo JJ (2007) Mesoscopic Fractional Kinetic Equations Versus A Riemann-Liuoville Integral Type. In: Sabatier J, Agrawal OP, Machado JAT editors. Advances in Fractional Calculus. Dodrecht: Springer. 155-167.
    • (2007) Advances in Fractional Calculus , pp. 155-167
    • Nigmatullin, R.R.1    Trujillo, J.J.2
  • 18
    • 51649202554 scopus 로고
    • Statistical distribution of impedance elements in biological systems
    • Weinberg AM, Householder AS, (1941) Statistical distribution of impedance elements in biological systems. Bull. Math. Biophys. 3: 129-135.
    • (1941) Bull. Math. Biophys. , vol.3 , pp. 129-135
    • Weinberg, A.M.1    Householder, A.S.2
  • 19
    • 0022619969 scopus 로고
    • Characteristics of skin admittance for dry electrodes and the measurement of skin moisturisation
    • Yamamoto Y, Yamamoto T, Ozawa T, (1986) Characteristics of skin admittance for dry electrodes and the measurement of skin moisturisation. Med. Biol. Eng. Comput. 24: 71-77.
    • (1986) Med. Biol. Eng. Comput , vol.24 , pp. 71-77
    • Yamamoto, Y.1    Yamamoto, T.2    Ozawa, T.3
  • 20
    • 0001718807 scopus 로고
    • Permeability and Impermeability of Cell Membranes for Ions. Cold Spring Harbor Symp
    • Cole KS, (1940) Permeability and Impermeability of Cell Membranes for Ions. Cold Spring Harbor Symp. Quant. Biol. 8: 110-122.
    • (1940) Quant. Biol , vol.8 , pp. 110-122
    • Cole, K.S.1
  • 21
    • 33748565282 scopus 로고
    • Dispersion and Absorption in Dielectrics - I Alternating Current Characteristics
    • Cole KS, Cole RH, (1941) Dispersion and Absorption in Dielectrics - I Alternating Current Characteristics. J. Chem. Phys. 9: 341-52.
    • (1941) J. Chem. Phys , vol.9 , pp. 341-352
    • Cole, K.S.1    Cole, R.H.2
  • 22
    • 0035350809 scopus 로고    scopus 로고
    • Dielectric Response of Some Biological Tissues
    • El-Lakkani A, (2001) Dielectric Response of Some Biological Tissues. Bioelectromagnetics 22: 272-279.
    • (2001) Bioelectromagnetics , vol.22 , pp. 272-279
    • El-Lakkani, A.1
  • 23
    • 0029018868 scopus 로고
    • Dynamic scaling in the dielectric response of excised EMT-6 tumours undergoing hyperthermia
    • Dissado LA, Alison JM, Hill R M, McRae DA, Esrick MA, (1995) Dynamic scaling in the dielectric response of excised EMT-6 tumours undergoing hyperthermia. Phys. Med. Biol. 40: 1067-1084.
    • (1995) Phys. Med. Biol , vol.40 , pp. 1067-1084
    • Dissado, L.A.1    Alison, J.M.2    Hill, R.M.3    McRae, D.A.4    Esrick, M.A.5
  • 24
    • 0002217735 scopus 로고
    • An Access to Fractional Differentiation via Fractional Diference Quotients
    • In: Ross B editor. Berlin: Springer-Verlag
    • Butzer PL, Westphal U (1975) An Access to Fractional Differentiation via Fractional Diference Quotients. In: Ross B editor. Fractional Calculus and Its Applications. Berlin: Springer-Verlag. 116-146.
    • (1975) Fractional Calculus and Its Applications , pp. 116-146
    • Butzer, P.L.1    Westphal, U.2
  • 25
    • 0001746470 scopus 로고
    • Theory of electrolytic polarization
    • Fricke H, (1932) Theory of electrolytic polarization. Phil. Mag. 14: 310-318.
    • (1932) Phil. Mag , vol.14 , pp. 310-318
    • Fricke, H.1
  • 27
    • 85077209801 scopus 로고    scopus 로고
    • Interpretation of complex permittivity in pure and mixed crystals
    • Bohannan GW, (2000) Interpretation of complex permittivity in pure and mixed crystals. AIP Conf. Proc. 535: 250-258.
    • (2000) AIP Conf. Proc , vol.535 , pp. 250-258
    • Bohannan, G.W.1
  • 28
    • 34047260760 scopus 로고    scopus 로고
    • To the Nature of Irreversibility in Linear Systems
    • Nigmatullin RR, LeMehaute A, (2004) To the Nature of Irreversibility in Linear Systems. Magn. Reson. Solids. 6 No. 1: 165-179.
    • (2004) Magn. Reson. Solids , vol.6 , Issue.1 , pp. 165-179
    • Nigmatullin, R.R.1    LeMehaute, A.2
  • 29
    • 0016938239 scopus 로고
    • Electrical properties of the epidermal stratum corneum
    • Yamamoto T, Yamamoto Y, (1976) Electrical properties of the epidermal stratum corneum. Med. Biol. Eng.14 (2): 151-158.
    • (1976) Med. Biol. Eng. , vol.14 , Issue.2 , pp. 151-158
    • Yamamoto, T.1    Yamamoto, Y.2
  • 32
    • 5044233366 scopus 로고    scopus 로고
    • Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
    • Christian K, Nobuo Y, Masao F, (2004) Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. J. Comput. Appl. Math. 6 Issue 2: 375-397.
    • (2004) J. Comput. Appl. Math , vol.6 , Issue.2 , pp. 375-397
    • Christian, K.1    Nobuo, Y.2    Masao, F.3
  • 33
    • 84875924841 scopus 로고    scopus 로고
    • Available: Feb 25
    • ics website. Available: http://www.ics.forth.gr/~lourakis/levmar/Accessed 2013 Feb 25.
    • (2013) ics website


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