Abstract
The biosynthetic capacity of an individual cell is dependent on its structure. The response of large population of cells reflects the aggregated response of individual cells. Individual cell’s differ from one and another. The use of population balance equations to describe the dynamic response of populations to perturbations in their environment is computationally difficult when both the structure of individual cells and their distribution within the population are important. We circumvent these computational problems by building highly structured models of individual cells and then using a finite-representation technique to model the whole population. Application of this technique to predicting protein production from recombinant DNA is described.
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References
Ataai, M.M. and M.L. Shuler. 1985a. Simulation of the growth pattern of a single cell of Escherichia coli under anaerobic conditions. Biotechnol. Bioeng. 27 (7): 1026–1035.
Ataai, M.M. and M.L. Shuler. 1985b. Simulation of CFSTR through development of a mathematical model for anaerobic growth of Escherichia coli cell population. Biotechnol. Bioeng. 27 (7): 1051–1055.
Ataai, M.M. and M.L. Shuler. 1986. Mathematical model for the control of ColE1 type plasmid replication. Plasmid 16: 204–212.
Ataai, M.M. and M.L. Shuler. 1987. A mathematical model for prediction of plasmid copy number and genetic stability in Escherichia coli. Biotechnol. Bioeng. 30: 389–397.
Domach, M.M. and M.L. Shuler. 1984a. Testing of a potential mechanism for E. coli temporal cycle imprecision with a structured model. J. Theor. Biol. 106: 577–585.
Domach, M.M. and M.L. Shuler. 1984b. A finite representation model for an asynchronous culture of E. coli. Biotechnol. Bioeng. 26: 877–884.
Domach, M.M., S.K. Leung, R.E. Cahn, G.G. Cocks, and M.L. Shuler. 1984. Computer model for glucose-limited growth of a single cell of Escherichia coli B/r A. Biotechnol. Bioeng. 26 (3): 203–216.
Fredrickson, A.G., D. Ramkrishna, and H.M. Tsuchiya. 1971. The necessity of including structure in mathematical models of unbalanced microbial growth. Chem. Eng. Symp. Series 67 (108): 53.
Joshi, A. and B.O. Palsson. 1988. Escherichia coli growth dynamics: A three-pool biochemically based description. Biotechnol. Bioeng. 31:102–116.
Kim, B.G., J. Shu, L.A. Laffend, and M.L. Shuler. 1988. On predicting protein production from recombinant DNA in bacteria. Forefronts. (In Press)
Lee, A.L., M.M. Ataai, and M.L. Shuler. 1984. Double substrate limited growth of Escherichia coli. Biotechnol. Bioeng. 26: 1398–1401.
Lee, A.L., M.M. Ataai, and M.L. Shuler. 1984. Double substrate limited growth of Escherichia coli. Biotechnol. Bioeng. 26: 1398–1401.
Nishimura, Y. and J.E. Bailey. 1980. On the dynamics of Cooper-HelmstetterDonachie procaryote populations. Math. Biosci. 51: 305.
Nishimura, Y. and J.E. Bailey. 1981. Bacterial population dynamics in batch and continuous-flow microbial reactors. AlChE J. 27: 73.
Park, D.J.M. 1974. The hierarchial structure of metabolic networks and the construction of efficient metabolic simulators. J. Theor. Biol. 46: 31–74.
Peretti, S.W. and J.E. Bailey. 1986. A mechanistically detailed model of cellular metabolism for glucose-limited growth of Escherichia coli B/r. Biotechnol. Bioeng. 28: 1672.
Peretti, S.W. and J.E. Bailey. 1987. Simulations of host-plasmid interactions in Escherichia coli: Copy number, promoter strength, and ribosome binding site strength effects on metabolic activity and plasmid gene expression. Biotechnol. Bioeng. 29: 316–328.
Shu, J., P. Wu, and M.L. Shuler. 1987. Bistability in ammonium-limited cultures of Escherichia coli B/r. Chemical Eng. Comm. 58: 185–194. (Special issue in honor of Neal Amundson).
Shu, J., P. Wu, and M.L. Shuler. 1987. Bistability in ammonium-limited cultures of Escherichia coli B/r. Chemical Eng. Comm. 58: 185–194. (Special issue in honor of Neal Amundson).
Shuler, M.L. 1985. On the use of chemically structured models for bioreactors. Chemical Eng. Communications 36: 161–189.
Shuler, M.L., S. Leung, and C.C. Dick. 1979. A mathematical model for the growth of a single bacterial cell. Ann. N.Y. Acad. Sci. 326: 35–56.
Shuler, M.L. and M.M. Domach. 1983. Mathematical models of the growth of individual cells. Tools for testing biochemical mechanisms. In Foundations of.Biochemical Engineering: Kinetics and Thermodynamics in Biological Systems. Ed., H.W. Blanch, E.P. Papoutsakis, and G. Stephanapoulos. ACS Symp. Series 207, Am. Chem. Soc., Washington, D.C., pp. 93–133.
Tsuchiya, H.M., A.G. Fredrickson, and R. Aris. 1966. Dynamics of mirobial cell populations. Adv. Chem. Eng. 6: 125.
Womack, J.E. and W. Messer. 1978. Stability of origin-RNA and its implications on the structure of the origin of replication in E. coli. In DNA Synthesis-Present and Future. I. Molineaux and M. Kohiyama, Eds, ( Plenum, New York ), pp. 41–48.
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© 1989 Springer-Verlag Berlin Heidelberg
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Shuler, M.L. (1989). Computer Models of Individual Living Cells in Cell Populations. In: Castillo-Chavez, C., Levin, S.A., Shoemaker, C.A. (eds) Mathematical Approaches to Problems in Resource Management and Epidemiology. Lecture Notes in Biomathematics, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46693-9_1
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DOI: https://doi.org/10.1007/978-3-642-46693-9_1
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