메뉴 건너뛰기




Volumn 320, Issue 1-2, 2008, Pages 492-499

Subdiffusion in a system with a thick membrane

Author keywords

Subdiffusion; Theory

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); GREEN'S FUNCTION; LINEAR EQUATIONS; LINEAR SYSTEMS;

EID: 48549089806     PISSN: 03767388     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.memsci.2008.04.028     Document Type: Article
Times cited : (48)

References (34)
  • 2
    • 0012152677 scopus 로고
    • Giebisch G., Tosteson D., and Ussing H. (Eds), Springer, Berlin
    • In: Giebisch G., Tosteson D., and Ussing H. (Eds). Membrane Transport in Biology, vols. I-III (1978), Springer, Berlin
    • (1978) Membrane Transport in Biology, vols. I-III
  • 4
    • 2342609770 scopus 로고    scopus 로고
    • Determination of protein diffusion coefficients in agarose gel with a diffusion cell
    • Gutenwik J., Nillson B., and Axelsson A. Determination of protein diffusion coefficients in agarose gel with a diffusion cell. Biochem. Eng. J. 19 (2004) 1-7
    • (2004) Biochem. Eng. J. , vol.19 , pp. 1-7
    • Gutenwik, J.1    Nillson, B.2    Axelsson, A.3
  • 5
    • 33749559497 scopus 로고    scopus 로고
    • Protein diffusion in agarose hydrogel in situ measured by improved refractive index method
    • Liang S., Xu J., Weng L., Dai H., Zhang X., and Zhang L. Protein diffusion in agarose hydrogel in situ measured by improved refractive index method. J. Control. Release 115 2 (2006) 189-196
    • (2006) J. Control. Release , vol.115 , Issue.2 , pp. 189-196
    • Liang, S.1    Xu, J.2    Weng, L.3    Dai, H.4    Zhang, X.5    Zhang, L.6
  • 6
    • 0034705682 scopus 로고    scopus 로고
    • Diffusion of lysozyme in gels and liquids: a general approach for the determination of diffusion coefficients using holographic laser interferometry
    • Mattisson C., Roger P., Jonsson B., Axelsson A., and Zacchi G. Diffusion of lysozyme in gels and liquids: a general approach for the determination of diffusion coefficients using holographic laser interferometry. J. Chromatogr. B 743 1/2 (2000) 151-167
    • (2000) J. Chromatogr. B , vol.743 , Issue.1-2 , pp. 151-167
    • Mattisson, C.1    Roger, P.2    Jonsson, B.3    Axelsson, A.4    Zacchi, G.5
  • 7
    • 0035821392 scopus 로고    scopus 로고
    • Diffusive transport properties of some local anesthetics applicable for iontophoretic formulation of the drugs
    • Brouneus F., Karami K., Beronius P., and Sundelf L.-O. Diffusive transport properties of some local anesthetics applicable for iontophoretic formulation of the drugs. Int. J. Pharm. 218 1/2 (2001) 57-62
    • (2001) Int. J. Pharm. , vol.218 , Issue.1-2 , pp. 57-62
    • Brouneus, F.1    Karami, K.2    Beronius, P.3    Sundelf, L.-O.4
  • 8
    • 0346094005 scopus 로고    scopus 로고
    • Experimental study and modeling of nisin diffusion in agarose gels
    • Sebti I., Blanc D., Carnet-Ripoche A., Saurel R., and Coma V. Experimental study and modeling of nisin diffusion in agarose gels. J. Food Eng. 63 2 (2004) 185-190
    • (2004) J. Food Eng. , vol.63 , Issue.2 , pp. 185-190
    • Sebti, I.1    Blanc, D.2    Carnet-Ripoche, A.3    Saurel, R.4    Coma, V.5
  • 9
    • 17144394496 scopus 로고    scopus 로고
    • Observation of the solute transport in the permeation through hydrogel membranes by using FTIR-microscopy
    • Cheng M., and Sun Y. Observation of the solute transport in the permeation through hydrogel membranes by using FTIR-microscopy. J. Membr. Sci. 253 1/2 (2005) 191-198
    • (2005) J. Membr. Sci. , vol.253 , Issue.1-2 , pp. 191-198
    • Cheng, M.1    Sun, Y.2
  • 10
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: a fractional dynamics approach
    • Metzler R., and Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys. Rep. 339 1 (2000) 1-77
    • (2000) Phys. Rep. , vol.339 , Issue.1 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 11
    • 0040307478 scopus 로고
    • Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications
    • Bouchaud J., and Georgies A. Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Phys. Rep. 195 4/5 (1990) 127-293
    • (1990) Phys. Rep. , vol.195 , Issue.4-5 , pp. 127-293
    • Bouchaud, J.1    Georgies, A.2
  • 12
    • 41349098992 scopus 로고    scopus 로고
    • Diffusion on random-site percolation clusters: theory and NMR microscopy experiments with model objects
    • 021112-1-021112-11
    • Klemm A., Metzler R., and Kimmich R. Diffusion on random-site percolation clusters: theory and NMR microscopy experiments with model objects. Phys. Rev. E 65 (2002) 021112-1-021112-11
    • (2002) Phys. Rev. E , vol.65
    • Klemm, A.1    Metzler, R.2    Kimmich, R.3
  • 15
    • 0038722121 scopus 로고    scopus 로고
    • Subdiffusion in a membrane system
    • Kosztołowicz T., and Dworecki K. Subdiffusion in a membrane system. Acta Phys. Pol. B 34 7 (2003) 3699-3701
    • (2003) Acta Phys. Pol. B , vol.34 , Issue.7 , pp. 3699-3701
    • Kosztołowicz, T.1    Dworecki, K.2
  • 16
    • 0035848420 scopus 로고    scopus 로고
    • Effect of therapeutic ultrasound on partition and diffusion coefficients in human stratum corneum
    • Mitragotri S. Effect of therapeutic ultrasound on partition and diffusion coefficients in human stratum corneum. J. Control. Release 71 1 (2001) 23-29
    • (2001) J. Control. Release , vol.71 , Issue.1 , pp. 23-29
    • Mitragotri, S.1
  • 17
    • 4544385642 scopus 로고    scopus 로고
    • Restricted diffusion and release of aroma molecules from sol-gel-made porous silica particles
    • Veith S., Hughes E., and Pratsinis S. Restricted diffusion and release of aroma molecules from sol-gel-made porous silica particles. J. Control. Release 99 2 (2004) 315-327
    • (2004) J. Control. Release , vol.99 , Issue.2 , pp. 315-327
    • Veith, S.1    Hughes, E.2    Pratsinis, S.3
  • 18
    • 0028789183 scopus 로고    scopus 로고
    • Solute diffusion coefficient in the internal medium of a new gel based controlled release fertilizer
    • Shavit U., Shaviv A., and Zaslavsky D. Solute diffusion coefficient in the internal medium of a new gel based controlled release fertilizer. J. Control. Release 37 1/2 (2005) 21-32
    • (2005) J. Control. Release , vol.37 , Issue.1-2 , pp. 21-32
    • Shavit, U.1    Shaviv, A.2    Zaslavsky, D.3
  • 19
    • 33744528853 scopus 로고    scopus 로고
    • Diffusive tortuosity factor of solid and soft cake layers: a random walk simulation approach
    • Kim A., and Chen H. Diffusive tortuosity factor of solid and soft cake layers: a random walk simulation approach. J. Membr. Sci. 279 (2006) 129-139
    • (2006) J. Membr. Sci. , vol.279 , pp. 129-139
    • Kim, A.1    Chen, H.2
  • 20
    • 26544475690 scopus 로고
    • Short-time behavior of the diffusion coefficient as a geometrical probe of porous media
    • Mitra P. Short-time behavior of the diffusion coefficient as a geometrical probe of porous media. Phys. Rev. B 47 14 (1993) 8565-8574
    • (1993) Phys. Rev. B , vol.47 , Issue.14 , pp. 8565-8574
    • Mitra, P.1
  • 21
    • 27344436094 scopus 로고    scopus 로고
    • Experimental investigation of the subdiffusion in a membrane system
    • Dworecki K. Experimental investigation of the subdiffusion in a membrane system. Physica A 359 (2006) 24-32
    • (2006) Physica A , vol.359 , pp. 24-32
    • Dworecki, K.1
  • 22
    • 33749593611 scopus 로고    scopus 로고
    • Determination of the membrane permeability coefficient under concentration polarisation conditions
    • Dworecki K., Śle{ogonek}zak A., Drabik M., Ornal-Wa{ogonek}sik B., and Wa{ogonek}sik S. Determination of the membrane permeability coefficient under concentration polarisation conditions. Desalination 198 1/3 (2006) 326-334
    • (2006) Desalination , vol.198 , Issue.1-3 , pp. 326-334
    • Dworecki, K.1    Ślezak, A.2    Drabik, M.3    Ornal-Wasik, B.4    Wasik, S.5
  • 23
    • 0000582309 scopus 로고    scopus 로고
    • Stochastic foundations of fractional dynamics
    • Compte A. Stochastic foundations of fractional dynamics. Phys. Rev. E 53 4 (1996) 4191-4193
    • (1996) Phys. Rev. E , vol.53 , Issue.4 , pp. 4191-4193
    • Compte, A.1
  • 25
    • 0035884850 scopus 로고    scopus 로고
    • Random walk in a discrete and continuous system with a thin membrane
    • Kosztołowicz T. Random walk in a discrete and continuous system with a thin membrane. Physica A 298 3/4 (2001) 285-296
    • (2001) Physica A , vol.298 , Issue.3-4 , pp. 285-296
    • Kosztołowicz, T.1
  • 26
    • 0032491747 scopus 로고    scopus 로고
    • Continuous versus discrete description of the transport in a membrane system
    • Kosztołowicz T. Continuous versus discrete description of the transport in a membrane system. Physica A 248 1/2 (1998) 44-56
    • (1998) Physica A , vol.248 , Issue.1-2 , pp. 44-56
    • Kosztołowicz, T.1
  • 28
    • 26444463863 scopus 로고    scopus 로고
    • Fractional diffusion in inhomogeneous media
    • Chechkin A.V., Gorenflo R., and Sokolov I. Fractional diffusion in inhomogeneous media. J. Phys. A 38 42 (2005) L679-L684
    • (2005) J. Phys. A , vol.38 , Issue.42
    • Chechkin, A.V.1    Gorenflo, R.2    Sokolov, I.3
  • 29
    • 0033884660 scopus 로고    scopus 로고
    • Boundary value problems for fractional diffusion equations
    • Metzler R., and Klafter J. Boundary value problems for fractional diffusion equations. Physica A 278 1/2 (2000) 107-125
    • (2000) Physica A , vol.278 , Issue.1-2 , pp. 107-125
    • Metzler, R.1    Klafter, J.2
  • 30
    • 33947093971 scopus 로고
    • Nonstationary diffusion through membranes. 2. Transient diffusion through a membrane separating two semiinfinite volumes unstirred solutions
    • Hoogervorst C., de Goede J., Versluijs C., and Smit J. Nonstationary diffusion through membranes. 2. Transient diffusion through a membrane separating two semiinfinite volumes unstirred solutions. J. Phys. Chem. 82 11 (1978) 1318-1324
    • (1978) J. Phys. Chem. , vol.82 , Issue.11 , pp. 1318-1324
    • Hoogervorst, C.1    de Goede, J.2    Versluijs, C.3    Smit, J.4
  • 31
    • 5344264766 scopus 로고
    • Interferometric investigations of the near-membrane diffusion layers
    • Dworecki K. Interferometric investigations of the near-membrane diffusion layers. J. Biol. Phys. 21 (1995) 37-49
    • (1995) J. Biol. Phys. , vol.21 , pp. 37-49
    • Dworecki, K.1
  • 32
    • 0020811271 scopus 로고
    • The flux-ratio equation under nonstationary boundary conditions
    • Bass L., and Bracken J. The flux-ratio equation under nonstationary boundary conditions. Math. Biosci. 66 1 (1983) 87-92
    • (1983) Math. Biosci. , vol.66 , Issue.1 , pp. 87-92
    • Bass, L.1    Bracken, J.2
  • 33
    • 0023455545 scopus 로고
    • A method of solution for a nonlinear diffusion model and for computing the parameters in the model
    • Spoelstra J., and van Wyk D. A method of solution for a nonlinear diffusion model and for computing the parameters in the model. J. Comput. Appl. Math. 20 (1987) 379-385
    • (1987) J. Comput. Appl. Math. , vol.20 , pp. 379-385
    • Spoelstra, J.1    van Wyk, D.2
  • 34
    • 9944251814 scopus 로고    scopus 로고
    • From the solutions of diffusion equation to the solutions of subdiffusive one
    • Kosztołowicz T. From the solutions of diffusion equation to the solutions of subdiffusive one. J. Phys. A: Math. Gen. 37 45 (2004) 10779-10789
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.45 , pp. 10779-10789
    • Kosztołowicz, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.