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Volumn 52, Issue 9, 1997, Pages 1529-1540

Solutions of population balance models based on a successive generations approach

Author keywords

cell cycle; Cell growth; corpuscular model; population dynamics

Indexed keywords

GROWTH KINETICS; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MICROORGANISMS; PARTIAL DIFFERENTIAL EQUATIONS; RANDOM PROCESSES;

EID: 0031149205     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(96)00510-6     Document Type: Article
Times cited : (65)

References (37)
  • 1
    • 0342302801 scopus 로고
    • Continuous cultivation of fission yeast: Analysis of single-cell protein synthesis kinetics
    • Agar, D. W. and Bailey, J. E. (1981) Continuous cultivation of fission yeast: analysis of single-cell protein synthesis kinetics. Biotechnol. Bioengng XXIII, 2315-2331.
    • (1981) Biotechnol. Bioengng , vol.23 , pp. 2315-2331
    • Agar, D.W.1    Bailey, J.E.2
  • 2
    • 0014108737 scopus 로고
    • Cell growth and division I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures
    • Bell, G. I. and Anderson, E. C. (1967) Cell growth and division I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures. Biophysical J. 7, 329-351.
    • (1967) Biophysical J. , vol.7 , pp. 329-351
    • Bell, G.I.1    Anderson, E.C.2
  • 3
    • 0025514458 scopus 로고
    • Slit scanning of Saccharomyces cerevisiae cells: Quantification of asymmetric cell division and cell cycle progression in asynchronous culture
    • Block, D. E., Eitzman, P. D., Wangensteen, J. D. and Srienc, F. (1990) Slit scanning of Saccharomyces cerevisiae cells: quantification of asymmetric cell division and cell cycle progression in asynchronous culture. Biotechnol. Progr. 6, 504-512.
    • (1990) Biotechnol. Progr. , vol.6 , pp. 504-512
    • Block, D.E.1    Eitzman, P.D.2    Wangensteen, J.D.3    Srienc, F.4
  • 4
    • 0025179319 scopus 로고
    • Nonlinear Age-dependent models for prediction of population growth
    • Chiu, C. (1990) Nonlinear Age-dependent models for prediction of population growth. Math. Biosci. 99, 119-133.
    • (1990) Math. Biosci. , vol.99 , pp. 119-133
    • Chiu, C.1
  • 5
    • 0014632515 scopus 로고
    • Lipid synthesis in relation to the cell cycle of Bacillus megatherium KM and Escherichia coli
    • Daniels, M. J. (1969) Lipid synthesis in relation to the cell cycle of Bacillus megatherium KM and Escherichia coli. Biochem. J. 115, 697-701.
    • (1969) Biochem. J. , vol.115 , pp. 697-701
    • Daniels, M.J.1
  • 6
  • 9
    • 0014526518 scopus 로고
    • Synthesis of protein, ribonucleic acid, and ribosomes by individual bacterial cells in balanced growth
    • Ecker, R. E. and Kokaisl, G. (1969) Synthesis of protein, ribonucleic acid, and ribosomes by individual bacterial cells in balanced growth. J. Bacteriol. 98, 1219-1226.
    • (1969) J. Bacteriol. , vol.98 , pp. 1219-1226
    • Ecker, R.E.1    Kokaisl, G.2
  • 10
    • 51249178477 scopus 로고
    • segregated, structured, distributed models and their role in microbial ecology: A case study based on work done on the filter-feeding ciliate Tetrahymena pyriformis
    • Fredrickson, A. G. (1991) segregated, structured, distributed models and their role in microbial ecology: a case study based on work done on the filter-feeding ciliate Tetrahymena pyriformis. Microbial Ecology 22, 139-159.
    • (1991) Microbial Ecology , vol.22 , pp. 139-159
    • Fredrickson, A.G.1
  • 11
    • 0026882748 scopus 로고
    • Growth processes in bioreactors with external sources of biomass: Application of structured, continuum models
    • Fredrickson, A. G. (1992) Growth processes in bioreactors with external sources of biomass: application of structured, continuum models. A.I.CH.E. J. 38(6), 835-846.
    • (1992) A.I.CH.E. J. , vol.38 , Issue.6 , pp. 835-846
    • Fredrickson, A.G.1
  • 14
    • 0023862122 scopus 로고
    • The method of lines for the solutions of some nonlinear partial differential equations
    • Györi, I. (1988) The method of lines for the solutions of some nonlinear partial differential equations. Comput. Math. Appl. 15, 635-658.
    • (1988) Comput. Math. Appl. , vol.15 , pp. 635-658
    • Györi, I.1
  • 15
    • 0342737949 scopus 로고
    • Mathematics of microbial age and size distributions
    • ed. M. Bazin, Academic Press, New York
    • Harvey, J. D. (1983) Mathematics of microbial age and size distributions. In Mathematics in Microbiology, ed. M. Bazin, pp. 1-35. Academic Press, New York.
    • (1983) Mathematics in Microbiology , pp. 1-35
    • Harvey, J.D.1
  • 17
    • 0028765009 scopus 로고
    • Feeding heterogeneity in ciliate populations: Effects of culture age and nutritional state
    • Hatzis, C., Srienc, F. and Fredrickson, A. G. (1994) Feeding heterogeneity in ciliate populations: effects of culture age and nutritional state. Biotechnol. Bioengng 43, 371-380.
    • (1994) Biotechnol. Bioengng , vol.43 , pp. 371-380
    • Hatzis, C.1    Srienc, F.2    Fredrickson, A.G.3
  • 18
    • 0028990631 scopus 로고
    • Multistaged corpuscular models of microbial growth: Monte Carlo simulations
    • Hatzis, C., Srienc, F. and Fredrickson, A. G. (1995) Multistaged corpuscular models of microbial growth: Monte Carlo simulations. BioSystems 36, 19-35.
    • (1995) BioSystems , vol.36 , pp. 19-35
    • Hatzis, C.1    Srienc, F.2    Fredrickson, A.G.3
  • 20
    • 0006728428 scopus 로고    scopus 로고
    • Galerkin methods for a model of population dynamics with nonlinear diffusion
    • Kim, M.-Y. (1996) Galerkin methods for a model of population dynamics with nonlinear diffusion. Numer. Methods Partial Differential Equations 12, 59-73.
    • (1996) Numer. Methods Partial Differential Equations , vol.12 , pp. 59-73
    • Kim, M.-Y.1
  • 21
    • 0025951913 scopus 로고
    • Unequal cell division, growth regulation and colony size of mammalian cells: A mathematical model and analysis of experimental data
    • Kimmel, M. and Axelrod, S. E. (1991) Unequal cell division, growth regulation and colony size of mammalian cells: a mathematical model and analysis of experimental data. J. Theoret. Biol. 153, 157-180.
    • (1991) J. Theoret. Biol. , vol.153 , pp. 157-180
    • Kimmel, M.1    Axelrod, S.E.2
  • 22
    • 0023849804 scopus 로고
    • Numerical solutions of a hyperbolic differential-integral equation
    • Kostova, T. V. (1988) Numerical solutions of a hyperbolic differential-integral equation. Comput. Math. Appl. 15, 427-436.
    • (1988) Comput. Math. Appl. , vol.15 , pp. 427-436
    • Kostova, T.V.1
  • 23
    • 0026219288 scopus 로고
    • Cell-cycle-dependent protein accumulation by producer and nonproducer murine hybridoma cell lines: A population analysis
    • Kromenaker, S. J. and Srienc, F. (1991) Cell-cycle-dependent protein accumulation by producer and nonproducer murine hybridoma cell lines: a population analysis. Biotechnol. Bioengng 38, 665-677.
    • (1991) Biotechnol. Bioengng , vol.38 , pp. 665-677
    • Kromenaker, S.J.1    Srienc, F.2
  • 24
    • 0025020967 scopus 로고
    • Cell volume increase in Escherichia coli after shifts to richer media
    • Kubitschek, H. E. (1990) Cell volume increase in Escherichia coli after shifts to richer media. J. Bacteriol, 172, 94-101.
    • (1990) J. Bacteriol , vol.172 , pp. 94-101
    • Kubitschek, H.E.1
  • 25
    • 0024989642 scopus 로고
    • Size effects on the uptake of particles by populations of Tetrahymena pyriformis cells
    • Lavin, D. P., Hatzis, C., Srienc, F. and Fredrickson, A. G. (1990) Size effects on the uptake of particles by populations of Tetrahymena pyriformis cells. J. Protozool. 37(3), 157-163.
    • (1990) J. Protozool. , vol.37 , Issue.3 , pp. 157-163
    • Lavin, D.P.1    Hatzis, C.2    Srienc, F.3    Fredrickson, A.G.4
  • 27
    • 0342737948 scopus 로고
    • Physiological responses of Tetrahymena pyriformis to nutritional shifts
    • San Francisco, CA, Paper No. 38i
    • Liou, J.-J., Srienc, F. and Fredrickson, A. G. (1994) Physiological responses of Tetrahymena pyriformis to nutritional shifts. A.I.Ch.E. Annual Meeting, San Francisco, CA, Paper No. 38i.
    • (1994) A.I.Ch.E. Annual Meeting
    • Liou, J.-J.1    Srienc, F.2    Fredrickson, A.G.3
  • 28
    • 0342737947 scopus 로고
    • Modeling synchronous growth of Tetrahymena pyriformis
    • Miami Beach, FL. Paper No. 188f
    • Liou, J.-J., Srienc, F. and Fredrickson, A. G. (1995) Modeling synchronous growth of Tetrahymena pyriformis. A.I.Ch.E. Annual Meeting, Miami Beach, FL. Paper No. 188f.
    • (1995) A.I.Ch.E. Annual Meeting
    • Liou, J.-J.1    Srienc, F.2    Fredrickson, A.G.3
  • 29
    • 0026964031 scopus 로고
    • Modelling of microbial kinetics
    • Nielsen, J. and Villadsen, J. (1992). Modelling of microbial kinetics. Chem. Engng Sci. 47, 4225-4270.
    • (1992) Chem. Engng Sci. , vol.47 , pp. 4225-4270
    • Nielsen, J.1    Villadsen, J.2
  • 30
    • 0002492121 scopus 로고
    • Statistical models of cell populations
    • Ramkrishna, D. (1979) Statistical models of cell populations. Adv. Biochem. Engng 11, 1-47.
    • (1979) Adv. Biochem. Engng , vol.11 , pp. 1-47
    • Ramkrishna, D.1
  • 31
    • 0021783465 scopus 로고
    • The status of population balances
    • Ramkrishna, D. (1985) The status of population balances. Rev. Chem. Engng 3(1), 49-95.
    • (1985) Rev. Chem. Engng , vol.3 , Issue.1 , pp. 49-95
    • Ramkrishna, D.1
  • 33
    • 0015587599 scopus 로고
    • A population balance model for mass transfer in lean liquid-liquid dispersions
    • Shah, B. H. and Ramkrishna, D. (1973) A population balance model for mass transfer in lean liquid-liquid dispersions. Chem. Enemy Sci. 28, 389-399.
    • (1973) Chem. Enemy Sci. , vol.28 , pp. 389-399
    • Shah, B.H.1    Ramkrishna, D.2
  • 35
    • 0022387256 scopus 로고
    • A new nonlinear model of age-dependent population growth
    • Vlad, M. O. and Popa, V. T. (1985) A new nonlinear model of age-dependent population growth. Math. Biosci. 76, 161-184.
    • (1985) Math. Biosci. , vol.76 , pp. 161-184
    • Vlad, M.O.1    Popa, V.T.2
  • 36
    • 0015056321 scopus 로고
    • Correlation between rate of cell growth and rate of DNA synthesis in Escherichia coli B/r
    • Ward, C. B. and Glaser, D. A. (1971), Correlation between rate of cell growth and rate of DNA synthesis in Escherichia coli B/r. Proc. Natl Acad. Sci. U.S.A. 68, 1061-1064.
    • (1971) Proc. Natl Acad. Sci. U.S.A. , vol.68 , pp. 1061-1064
    • Ward, C.B.1    Glaser, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.