메뉴 건너뛰기




Volumn 195, Issue 4, 1998, Pages 481-504

Mathematical models for motile bacterial transport in cylindrical tubes

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BACTERIUM; CELL MOTILITY; CHEMOTAXIS; DIFFUSION; MATHEMATICAL MODEL; NONHUMAN; PRIORITY JOURNAL; TUBE;

EID: 0032556650     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1998.0808     Document Type: Article
Times cited : (34)

References (48)
  • 1
    • 0014013196 scopus 로고
    • Chemotaxis in bacteria
    • ADLER, J. (1966). Chemotaxis in bacteria. Science 153, 708-716.
    • (1966) Science , vol.153 , pp. 708-716
    • Adler, J.1
  • 2
    • 0019188958 scopus 로고
    • Biased random walk models for chemotaxis and related diffusion approximations
    • ALT, W. (1980). Biased random walk models for chemotaxis and related diffusion approximations. J. Math. Biol. 9, 147-177.
    • (1980) J. Math. Biol. , vol.9 , pp. 147-177
    • Alt, W.1
  • 3
    • 0019826511 scopus 로고
    • Configurational effect on the reflection coefficient for rigid solutes in capillary pores
    • ANDERSON, J. L. (1981). Configurational effect on the reflection coefficient for rigid solutes in capillary pores. J. theor. Biol. 90, 405-426.
    • (1981) J. Theor. Biol. , vol.90 , pp. 405-426
    • Anderson, J.L.1
  • 4
    • 0015990320 scopus 로고
    • Restricted transport in small pores. A model for steric exclusion and hindered particle motion
    • ANDERSON, J. L. & QUINN, J. A. (1974). Restricted transport in small pores. A model for steric exclusion and hindered particle motion. Biophys. J. 14, 130-150.
    • (1974) Biophys. J. , vol.14 , pp. 130-150
    • Anderson, J.L.1    Quinn, J.A.2
  • 5
    • 0029160397 scopus 로고
    • Determination of effective transport coefficients for bacterial migration in sand columns
    • BARTON, J. W. & FORD, R. M. (1995). Determination of effective transport coefficients for bacterial migration in sand columns. Appl. Environ. Biol. 61, 3329-3335.
    • (1995) Appl. Environ. Biol. , vol.61 , pp. 3329-3335
    • Barton, J.W.1    Ford, R.M.2
  • 6
    • 0031553821 scopus 로고    scopus 로고
    • Mathematical model for characterization of bacterial migration through sand cores
    • BARTON, J. W. & FORD, R. M. (1997). Mathematical model for characterization of bacterial migration through sand cores. Biotechnol. Bioeng. 53, 487-496.
    • (1997) Biotechnol. Bioeng. , vol.53 , pp. 487-496
    • Barton, J.W.1    Ford, R.M.2
  • 7
    • 0015526205 scopus 로고
    • Chemotaxis in Escherichia coli analyzed by three-dimensional tracking
    • BERG, H. C. & BROWN, D. A. (1972). Chemotaxis in Escherichia coli analyzed by three-dimensional tracking. Nature 239, 500-504.
    • (1972) Nature , vol.239 , pp. 500-504
    • Berg, H.C.1    Brown, D.A.2
  • 8
    • 0024991378 scopus 로고
    • Chemotaxis of bacteria in glass capillary arrays
    • BERG, H. C. & TURNER, L. (1990). Chemotaxis of bacteria in glass capillary arrays. Biophys. J. 58, 919-930.
    • (1990) Biophys. J. , vol.58 , pp. 919-930
    • Berg, H.C.1    Turner, L.2
  • 9
    • 0028833052 scopus 로고
    • Cells of Escherichia coli swim either end forward
    • BERG, H. C. & TURNER, L. (1995). Cells of Escherichia coli swim either end forward. Proc. Natl. Acad. Sci. U.S.A. 92, 477-479.
    • (1995) Proc. Natl. Acad. Sci. U.S.A. , vol.92 , pp. 477-479
    • Berg, H.C.1    Turner, L.2
  • 10
    • 0032144396 scopus 로고    scopus 로고
    • Random motility of swimming bacteria in restricted geometries
    • BIONDI, S. A., QUINN, J. A. & GOLDFINE, H. (1998). Random motility of swimming bacteria in restricted geometries. AIChE J. 44, 1923-1929.
    • (1998) AIChE J. , vol.44 , pp. 1923-1929
    • Biondi, S.A.1    Quinn, J.A.2    Goldfine, H.3
  • 11
    • 49449127316 scopus 로고
    • The constrained Brownian movement of spherical particles in cylindrical pores of comparable radius
    • BRENNER, H. & GAYDOS, L. J. (1977). The constrained Brownian movement of spherical particles in cylindrical pores of comparable radius. J. Colloid Interface Sci. 58, 312-356.
    • (1977) J. Colloid Interface Sci. , vol.58 , pp. 312-356
    • Brenner, H.1    Gaydos, L.J.2
  • 13
    • 0032153759 scopus 로고    scopus 로고
    • Perturbation expansion of Alt's cell balance equations reduces to Segal's 1-D equations for shallow chemoattractant gradients
    • CHEN, K. C., FORD, R. M. & CUMMINGS, P. T. (1999). Perturbation expansion of Alt's cell balance equations reduces to Segal's 1-D equations for shallow chemoattractant gradients. SIAM J. Appl. Math. 59, 35-57.
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 35-57
    • Chen, K.C.1    Ford, R.M.2    Cummings, P.T.3
  • 14
    • 0032556384 scopus 로고    scopus 로고
    • The global turning probability density function for motile bacteria and its applications
    • in press
    • CHEN, K. C., FORD, R. M. & CUMMINGS, P. T. (1998). The global turning probability density function for motile bacteria and its applications. J. theor. Biol. (in press).
    • (1998) J. Theor. Biol.
    • Chen, K.C.1    Ford, R.M.2    Cummings, P.T.3
  • 15
    • 0023422845 scopus 로고
    • Hindered transport of large molecules in liquid-filled pores
    • DEEN, W. M. (1987). Hindered transport of large molecules in liquid-filled pores. AIChE J. 33, 1409-1425.
    • (1987) AIChE J. , vol.33 , pp. 1409-1425
    • Deen, W.M.1
  • 16
    • 0027592055 scopus 로고
    • Complete specular reflection of molecules at low angles of incidence and its effect on the molecular flow of gases through very narrow capillaries
    • DERJAGUIN, B. V. & FEDYAKIN, N. N. (1993). Complete specular reflection of molecules at low angles of incidence and its effect on the molecular flow of gases through very narrow capillaries. Progr. Surf. Sci. 43, 290-301.
    • (1993) Progr. Surf. Sci. , vol.43 , pp. 290-301
    • Derjaguin, B.V.1    Fedyakin, N.N.2
  • 17
    • 0028967872 scopus 로고
    • Random walk calculations for bacterial migration in porous media
    • DUFFY, K. J., FORD, R. M. & CUMMINGS, P. T. (1995). Random walk calculations for bacterial migration in porous media. Biophys. J. 68, 800-806.
    • (1995) Biophys. J. , vol.68 , pp. 800-806
    • Duffy, K.J.1    Ford, R.M.2    Cummings, P.T.3
  • 18
    • 0026932947 scopus 로고
    • On the relationship between cell balance equations for chemotactic cell populations
    • FORD, R. M. & CUMMINGS, P. T. (1992). On the relationship between cell balance equations for chemotactic cell populations. SIAM J. Appl. Math. 52, 1426-1441.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1426-1441
    • Ford, R.M.1    Cummings, P.T.2
  • 19
    • 0026131334 scopus 로고
    • Measurement of bacterial random motility and chemotaxis coefficients: I. Stopped-flow diffusion chamber assay
    • FORD, R. M., PHILLIPS, B. R., QUINN, J. A. & LAUFFENBURGER, D. A. (1991). Measurement of bacterial random motility and chemotaxis coefficients: I. Stopped-flow diffusion chamber assay. Biotechnol. Bioeng. 37, 647-660.
    • (1991) Biotechnol. Bioeng. , vol.37 , pp. 647-660
    • Ford, R.M.1    Phillips, B.R.2    Quinn, J.A.3    Lauffenburger, D.A.4
  • 21
    • 0031141178 scopus 로고    scopus 로고
    • Analysis of bacterial swimming speed approaching a solid-liquid interface
    • FRYMIER, P. D. & FORD, R. M. (1997). Analysis of bacterial swimming speed approaching a solid-liquid interface. AIChE J. 43, 1341-1347.
    • (1997) AIChE J. , vol.43 , pp. 1341-1347
    • Frymier, P.D.1    Ford, R.M.2
  • 22
    • 0029067881 scopus 로고
    • Three-dimensional tracking of motile bacteria near a solid planar surface
    • FRYMIER, P. D., FORD, R. M., BERG, H. C. & CUMMINGS, P. T. (1995). Three-dimensional tracking of motile bacteria near a solid planar surface. Proc. Natl. Acad. Sci. U.S.A. 92, 6195-6199.
    • (1995) Proc. Natl. Acad. Sci. U.S.A. , vol.92 , pp. 6195-6199
    • Frymier, P.D.1    Ford, R.M.2    Berg, H.C.3    Cummings, P.T.4
  • 24
    • 0018399622 scopus 로고
    • Spatio-temporal structure on migrating chemotactic band of Escherichia coli
    • HOLZ, M. & CHEN, S.-H. (1979). Spatio-temporal structure on migrating chemotactic band of Escherichia coli. Biophys. J. 26, 243-262.
    • (1979) Biophys. J. , vol.26 , pp. 243-262
    • Holz, M.1    Chen, S.-H.2
  • 27
    • 0002389673 scopus 로고
    • The laws of molecular flow and of inner friction flow of gases through tubes
    • KNUDSEN, M. (1909). The laws of molecular flow and of inner friction flow of gases through tubes. Annal. Phys. 28, 75-130.
    • (1909) Annal. Phys. , vol.28 , pp. 75-130
    • Knudsen, M.1
  • 28
    • 0031094961 scopus 로고    scopus 로고
    • The Maxwell-Stefan approach to mass transfer
    • KRISHNA, R. & WESSELINGH, J. A. (1997). The Maxwell-Stefan approach to mass transfer. Chem. Eng. Sci. 52, 861-911.
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 861-911
    • Krishna, R.1    Wesselingh, J.A.2
  • 29
    • 0028838469 scopus 로고
    • Unidirectional motility of Escherichia coli in restrictive capillaries
    • LIU, Z. & PAPADOPOULOS, K. D. (1995). Unidirectional motility of Escherichia coli in restrictive capillaries. Appl. Environ. Microbiol. 61, 3567-3572.
    • (1995) Appl. Environ. Microbiol. , vol.61 , pp. 3567-3572
    • Liu, Z.1    Papadopoulos, K.D.2
  • 30
    • 0030570459 scopus 로고    scopus 로고
    • A method for measuring bacterial chemotaxis parameters in a microcapillary
    • LIU, Z. & PAPADOPOULOS, K. D. (1996). A method for measuring bacterial chemotaxis parameters in a microcapillary. Biotechnol. Bioeng. 51, 120-126.
    • (1996) Biotechnol. Bioeng. , vol.51 , pp. 120-126
    • Liu, Z.1    Papadopoulos, K.D.2
  • 31
    • 0031021427 scopus 로고    scopus 로고
    • Bacterial motility, collisions, and aggregation in a 3-μm-diameter capillary
    • LIU, Z., CHEN, W. & PAPADOPOULOS, K. D. (1997). Bacterial motility, collisions, and aggregation in a 3-μm-diameter capillary. Biotechnol. Bioeng. 53, 238-241.
    • (1997) Biotechnol. Bioeng. , vol.53 , pp. 238-241
    • Liu, Z.1    Chen, W.2    Papadopoulos, K.D.3
  • 32
    • 0016749140 scopus 로고
    • Statistical measures of bacterial motility and chemotaxis
    • LOVELY, P. S. & DAHLQUIST, F. W. (1975). Statistical measures of bacterial motility and chemotaxis. J. theor. Biol. 50, 477-496.
    • (1975) J. Theor. Biol. , vol.50 , pp. 477-496
    • Lovely, P.S.1    Dahlquist, F.W.2
  • 33
    • 0015397646 scopus 로고
    • The gradient-sensing mechanism in bacterial chemotaxis
    • MACNAB, R. M. & KOSHLAND, D. E., JR. (1972). The gradient-sensing mechanism in bacterial chemotaxis. Proc. Natl. Acad. Sci. U.S.A. 69, 2509-2512.
    • (1972) Proc. Natl. Acad. Sci. U.S.A. , vol.69 , pp. 2509-2512
    • Macnab, R.M.1    Koshland D.E., Jr.2
  • 34
    • 0015845216 scopus 로고
    • The range of attractant concentrations for bacterial chemotaxis and the threshold and size of response over this range
    • MESIBOV, R., ORDAL, G. W. & ADLER, J. (1973). The range of attractant concentrations for bacterial chemotaxis and the threshold and size of response over this range. J. Gen. Physol. 62, 203-223.
    • (1973) J. Gen. Physol. , vol.62 , pp. 203-223
    • Mesibov, R.1    Ordal, G.W.2    Adler, J.3
  • 35
    • 0023746235 scopus 로고
    • Models of dispersal in biological systems
    • OTHMER, H. G., DUNBAR, S. R. & ALT, W. (1988). Models of dispersal in biological systems. J. Math. Biol. 26, 263-298.
    • (1988) J. Math. Biol. , vol.26 , pp. 263-298
    • Othmer, H.G.1    Dunbar, S.R.2    Alt, W.3
  • 36
    • 0027410368 scopus 로고
    • Does E. coli have a nose?
    • PARKINSON, J. S. & BLAIR, D. F. (1993). Does E. coli have a nose? Science 259, 1701-1702.
    • (1993) Science , vol.259 , pp. 1701-1702
    • Parkinson, J.S.1    Blair, D.F.2
  • 38
    • 0028368849 scopus 로고
    • Random motility of swimming bacteria: Single cells compared with cell populations
    • PHILLIPS, B. R., QUINN, J. A. & GOLDFINE, H. (1994). Random motility of swimming bacteria: single cells compared with cell populations. AIChE J. 40, 334-348.
    • (1994) AIChE J. , vol.40 , pp. 334-348
    • Phillips, B.R.1    Quinn, J.A.2    Goldfine, H.3
  • 39
    • 36149021726 scopus 로고
    • On gaseous self-diffusion in long capillary tubes
    • POLLARD, W. G. & PRESENT, R. D. (1948). On gaseous self-diffusion in long capillary tubes. Phys. Rev. 73, 762-774.
    • (1948) Phys. Rev. , vol.73 , pp. 762-774
    • Pollard, W.G.1    Present, R.D.2
  • 40
    • 0027163350 scopus 로고
    • The role of hydrodynamic interaction in the locomotion of microorganisms
    • RAMIA, M., TULLOCK, D. L. & PHAN-THIEN, N. (1993). The role of hydrodynamic interaction in the locomotion of microorganisms. Biophys. J. 65, 755-778.
    • (1993) Biophys. J. , vol.65 , pp. 755-778
    • Ramia, M.1    Tullock, D.L.2
  • 41
    • 0024940626 scopus 로고
    • Transport models for chemotactic cell populations based on individual cell behavior
    • RIVERO, M. A., TRANQUILLO, R. T., BUETTNER, H. M. & LAUFFENBERGER, D. A. (1989). Transport models for chemotactic cell populations based on individual cell behavior. Chem. Eng. Sci. 44, 2881-2897.
    • (1989) Chem. Eng. Sci. , vol.44 , pp. 2881-2897
    • Rivero, M.A.1    Tranquillo, R.T.2    Buettner, H.M.3    Lauffenberger, D.A.4
  • 43
    • 0017136101 scopus 로고
    • Incorporation of receptor kinetics into a model for bacterial chemotaxis
    • SEGEL, L. A. (1976). Incorporation of receptor kinetics into a model for bacterial chemotaxis. J. theor. Biol. 57, 23-42.
    • (1976) J. Theor. Biol. , vol.57 , pp. 23-42
    • Segel, L.A.1
  • 44
    • 0001595172 scopus 로고
    • A theoretical study of receptor mechanisms in bacterial chemotaxis
    • SEGEL, L. A. (1977). A theoretical study of receptor mechanisms in bacterial chemotaxis. SIAM J. Appl. Math. 32, 653-665.
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 653-665
    • Segel, L.A.1
  • 45
    • 0028205664 scopus 로고
    • Effect of grain size on bacterial penetration, reproduction, and metabolic activity in porous glass bead chambers
    • SHARMA, P. J. & MCINERNEY, M. J. (1994). Effect of grain size on bacterial penetration, reproduction, and metabolic activity in porous glass bead chambers. Appl. Environ. Biol. 60, 1481-1486.
    • (1994) Appl. Environ. Biol. , vol.60 , pp. 1481-1486
    • Sharma, P.J.1    McInerney, M.J.2
  • 46
    • 0027483003 scopus 로고
    • In situ growth and activity and modes of penetration of Escherichia coli in unconsolidated porous materials
    • SHARMA, P. K., MCINERNEY, M. J. & KNAPP, R. M. (1993). In situ growth and activity and modes of penetration of Escherichia coli in unconsolidated porous materials. Appl. Environ. Biol. 59, 3686-3694.
    • (1993) Appl. Environ. Biol. , vol.59 , pp. 3686-3694
    • Sharma, P.K.1    McInerney, M.J.2    Knapp, R.M.3
  • 48
    • 0022731576 scopus 로고
    • Quasi-elastic light scattering from migrating chemotactic bands of Escherichia coli
    • WANG, P. C. & CHEN, S.-H. (1986). Quasi-elastic light scattering from migrating chemotactic bands of Escherichia coli. Biophys. J. 49, 1205-1214.
    • (1986) Biophys. J. , vol.49 , pp. 1205-1214
    • Wang, P.C.1    Chen, S.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.