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  • mapping  (2)
  • Bioprocess development  (1)
  • artificial liver
  • Springer  (4)
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  • Springer  (4)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 31 (1983), S. 279-308 
    ISSN: 1572-9613
    Keywords: Chaos ; mapping ; invariant measure ; ergodicity ; band structure of chaos ; power spectrum of chaos ; critical behavior ; scaling law ; Frobenius-Perron operator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Chaotic behaviors of the tent map (a piecewise-linear, continuous map with a unique maximum) are studied analytically throughout its chaotic region in terms of the invariant density and the power spectrum. As the height of the maximum is lowered, successive band-splitting transitions occur in the chaotic region and accumulate to the transition point into the nonchaotic region. The timecorrelation function of nonperiodic orbits and their power spectrum are calculated exactly at the band-splitting points and in the vicinity of these points. The method of eigenvalue problems of the Frobenius-Perron operator is used. 2 m−1 critical modes, wherem = 1,2, 3, ..., are found which exhibit the critical slowing-down near the 2 m−1-band to 2 m -band transition point. After the transition these modes become periodic modes which represent the cycling of nonperiodic orbits among 2 m bands together with the periodic modes generated by the preceding band splittings. Scaling laws near the transition point into the nonchaotic region are investigated and a new scaling law is found for the total intensity of the periodic part of the spectrum.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Cytotechnology 24 (1997), S. 39-45 
    ISSN: 1573-0778
    Keywords: artificial liver ; gluconeogenesis ; hepatocyte cell line ; microcarrier culture ; porous beads ; ureogenesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract Selection of a cell line suitable for a hybrid artificial liver model employing cellulose porous beads (CPBs) was investigated. Hep G2 cells grown in a culture dish exhibited appreciably higher ureogenesis and gluconeogenesis activities than those grown in CPBs. SEM observation of CPBs revealed marked difference in the distribution of attached cells from one bead to another, and showed that almost all the cell-bearing micropores were completely packed with cells. With the aim of selecting a cell line not prone to excessive aggregation and which grows moderately so as not to fill up the micropores, cells of 6 cell lines, HLE, HLF, Hep 3B, PLC/PRF/5, Huh 7 and Hep G2, were cultivated in dishes. Hep G2, HLE, and HLF increased to 5 × 105 cells/cm2, whereas PLC/PRF/5 grew only to 5 × 104, and Hep 3B and Huh 7 up to 2 × 104 cells/cm2. The specific activities of ureogenesis and gluconeogenesis of Huh 7 were the highest among the lines tested - 42- and 7-fold those of Hep G2, respectively. When the 6 cell lines were grown in a submerged culture with 0.6 g/l of CPBs, Huh 7 had the lowest cell concentration of 0.54 × 106 cells/ml, and the highest activities of ammonia consumption and urea and glucose production (1.38 μ mol NH3, 99 nmol urea, and 14.5 nmol glucose/106cells/h). Consequently, Huh 7 is considered to be a suitable cell line for use in the development of an artificial liver model employing porous beads.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    World journal of microbiology and biotechnology 11 (1995), S. 461-467 
    ISSN: 1573-0972
    Keywords: Bioprocess development ; bioreactor optimization ; environmental factors ; modelling ; monitoring ; control ; plant cell culture ; secondary-metabolite production
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract Two key issues in the application of plant-cell-culture technology to the production of valuable secondary metabolites are reviewed: the selection of cell lines with suitable genetic, biochemical and physiological characteristics; and the optimization of bioreactor environments. Although great progress has been made in recent years in the design, selection and optimization of bioreactor hardware, optimization of environmental factors such as medium components, light irradiation and O2 supply needs detailed investigations for each case. With a better understanding of plant cell metabolism and physiology, further developments in cultivation processes, such as process integration and on-line monitoring and control, can be expected in the near future.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 30 (1983), S. 649-679 
    ISSN: 1572-9613
    Keywords: Chaos ; mapping ; ergodic ; mixing ; time-correlation function ; chaos-chaos transition ; Frobenius-Perron operator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Successive band-splitting transitions occur in the one-dimensional map xi+1=g(xi),i=0, 1, 2,... withg(x)=αx, (0 ⩽x ⩽ 1/2) −αx +α, (1/2 〈x ⩽ 1) as the parameterα is changed from 2 to 1. The transition point fromN (=2n) bands to 2Nbands is given byα=(√2)1/N (n=0, 1,2,...). The time-correlation functionξ i=〈δxiδx0〉/〈(δx0)2,δxi≡ xi−〈xi〉 is studied in terms of the eigenvalues and eigenfunctions of the Frobenius-Perron operator of the map. It is shown that, near the transition pointα=√2,ξ i−[(10−4√2)/17] δi,0-[(10√2-8)/51]δi,1 + [(7 + 4√2)/17](−1)ie−yi, whereγ≡√2(α−√2) is the damping constant and vanishes atα=√2, representing the critical slowing-down. This critical phenomenon is in strong contrast to the topologically invariant quantities, such as the Lyapunov exponent, which do not exhibit any anomaly atα=√2. The asymptotic expression forξ i has been obtained by deriving an analytic form ofξ i for a sequence ofα which accumulates to √2 from the above. Near the transition pointα=(√2)1/N, the damping constant ofξ i fori ⩾N is given byγ N=√2(αN-√2)/N. Numerical calculation is also carried out for arbitrary a and is shown to be consistent with the analytic results.
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