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7 - Numerical integration of ordinary differential equations

Published online by Cambridge University Press:  05 June 2012

Michael R. King
Affiliation:
Cornell University, New York
Nipa A. Mody
Affiliation:
Cornell University, New York
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Numerical and Statistical Methods for Bioengineering
Applications in MATLAB
, pp. 409 - 479
Publisher: Cambridge University Press
Print publication year: 2010

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References

Bailey, J. E. and Ollis, D. F. (1986) Biochemical Engineering Fundamentals (New York: The Mc-Graw Hill Companies).Google Scholar
Barabasi, A. L. (2003) Linked: How Everything Is Connected to Everything Else. What It Means for Business, Science and Everyday Life (New York: Penguin Group (USA)).Google Scholar
Burden, R. L. and Faires, J. D. (2005) Numerical Analysis. (Belmont, CA: Thomson Brooks/Cole).Google Scholar
Davis, T. H. and Thomson, K. T. (2000) Linear Algebra and Linear Operators in Engineering (San Diego, CA: Academic Press).Google Scholar
Grasselli, M. and Pelinovsky, D. (2008) Numerical Mathematics (Sudbury, MA: Jones and Bartlett Publishers).Google Scholar
Haase, A. T., Henry, K., Zupancic, M.et al. (1996) Quantitative Image Analysis of HIV-1 Infection in Lymphoid Tissue. Science, 274, 985–9.CrossRefGoogle ScholarPubMed
Ko, M. K. W., Sze, N. D., and Prather, M. J. (1994) Better Protection of the Ozone-Layer. Nature, 367, 505–8.CrossRefGoogle Scholar
Lauffenburger, D. A. and Linderman, J. J. (1993) Receptors: Models for Binding, Trafficking and Signaling (New York: Oxford University Press).Google Scholar
Mody, N. A. and King, M. R. (2008) Platelet Adhesive Dynamics. Part II: High Shear-Induced Transient Aggregation Via GPIbalpha-vwf-GPIbalpha Bridging. Biophys. J., 95, 2556–74.CrossRefGoogle ScholarPubMed
Perelson, A. S. (1981) Receptor Clustering on a Cell-Surface. 3. Theory of Receptor Cross-Linking by Multivalent Ligands – Description by Ligand States. Math. Biosci., 53, 1–39.CrossRefGoogle Scholar
Perelson, A. S., Neumann, A. U., Markowitz, M., Leonard, J. M., and Ho, D. D. (1996) Hiv-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time. Science, 271, 1582–6.CrossRefGoogle ScholarPubMed
Pozrikidis, C. (2008) Numerical Computation in Science and Engineering (New York: Oxford University Press).Google Scholar
Siepmann, J., Elkharraz, K., Siepmann, F., and Klose, D. (2005) How Autocatalysis Accelerates Drug Release from PLGA-Based Microparticles: A Quantitative Treatment. Biomacromolecules, 6, 2312–19.CrossRefGoogle ScholarPubMed
Sugano, K. (2008) Theoretical Comparison of Hydrodynamic Diffusion Layer Models Used for Dissolution Simulation in Drug Discovery and Development. Int. J. Pharm., 363, 73–7.CrossRefGoogle ScholarPubMed
Tsuchiya, H. M., Drake, J. F., Jost, J. L., and Fredrickson, A. G. (1972) Predator-Prey Interactions of Dictyostelium Discoideum and Escherichia Coli in Continuous Culture. J. Bacteriol., 110, 1147–53.Google ScholarPubMed
Vauthier, C., Schmidt, C., and Couvreur, P. (1999) Measurement of the Density of Polymeric Nanoparticulate Drug Carriers by Isopycnic Centrifugation. J. Nanoparticle Res., 1, 411–18.CrossRefGoogle Scholar
Wilkinson, T. G., Topiwala, H. H., and Hamer, G. (1974) Interactions in a Mixed Bacterial Population Growing on Methane in Continuous Culture. Biotechnol. Bioeng., 16, 41–59.CrossRefGoogle Scholar

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