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  • NUMERICAL ANALYSIS  (4)
  • Metabolic systems  (2)
  • 1975-1979  (6)
  • 1
    Electronic Resource
    Electronic Resource
    Compartmental modelling based on methionine tolerance test data: a case study (1979)
    Springer
    Medical & biological engineering & computing 17 (1979), S. 223-229 
    Details
    ISSN: 1741-0444
    Keywords: Metabolic systems ; Modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract A case study illustrates the application of systems theory to the analysis of data from nonrepeatable experiments with relatively few data points. The specific problem considered is the compartmental modelling in the human of the metabolic pathways of orally-administered methionine using tolerance test data. Attention is restricted to linear models, and concentrates on the determination of parsimonious structures (i.e. with as few parameters as possible) and their physiological interpretation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02440933
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Adequacy of measurements in compartmental modelling of metabolic systems (1979)
    Springer
    Medical & biological engineering & computing 17 (1979), S. 216-222 
    Details
    ISSN: 1741-0444
    Keywords: Metabolic systems ; Modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract The adequacy of present-day measurement techniques for the compartmental modelling of metabolic systems is investigated using numerical examples and analysis of experimentally-obtained plasma clearance curves. It is concluded that the model parameters obtained are often of questionable accuracy. The situation can be improved by careful monitoring of experimental conditions and judicious spacing of data points on the response curve, but the work shows a clear need for a continuous (or semicontinuous) method of monitoring plasma concentration. To resolve ambiguities between models equally plausible on physiological grounds, it is necessary to monitor the dynamics of internal variables, for example, of the concentration in the liver (which is nowadays possible noninvasively).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02440932
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    Paper (German National Licenses)
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  • 3
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    On the stability of nonlinear differential sequences generated numerically (1978)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: A study was conducted to determine how errors are propagated when numerical methods are applied to a differential function f(y,t) which is nonlinear in y, with emphasis on stable propagation of the errors.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-157732
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 4
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    Investigation of ODE integrators using interactive graphics (1978)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: In the present paper, two FORTRAN programs are described which use an interactive graphic terminal to generate accuracy and stability plots for a given multistep integrator of ordinary differential equations (ODE). One program treats the fixed-stepsize linear case with complex variable solutions, and generates plots to show accuracy and error response to step driving function of a numerical solution. It also generates the linear stability region. The other program generates an analog with an accuracy plot. Both systems are capable of computing method coefficients from a simple specification of the method. Example plots are given.
    Keywords: NUMERICAL ANALYSIS
    Type: International Symposium on Simulation Software and Numerical Methods for Differential Equations; Mar 09, 1977 - Mar 11, 1977; Blacksburg, VA
    Format: text
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    NASA TECHNICAL REPORTS
  • 5
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    Stability of sequences generated by nonlinear differential systems (1979)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: A local stability analysis is presented for both the analytic and numerical solutions of the initial value problem for a system of ordinary differential equations. It is shown that, using a proper choice of Liapunov function, a connected region of stable initial values of both the analytic solution and the one-leg k-step numerical solution can be approximated. Attention is given to the example of the two-dimensional problem involving the stability of the longitudinal equations of motion of a gliding jet aircraft.
    Keywords: NUMERICAL ANALYSIS
    Type: Mathematics of Computation; 33; Apr. 197
    Format: text
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  • 6
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    Error behaviour of multistep methods applied to unstable differential systems (1978)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: The problem of modelling a dynamic system described by a system of ordinary differential equations which has unstable components for limited periods of time is discussed. It is shown that the global error in a multistep numerical method is the solution to a difference equation initial value problem, and the approximate solution is given for several popular multistep integration formulae. Inspection of the solution leads to the formulation of four criteria for integrators appropriate to unstable problems. A sample problem is solved numerically using three popular formulae and two different stepsizes to illustrate the appropriateness of the criteria.
    Keywords: NUMERICAL ANALYSIS
    Type: Applied Mathematical Modelling; 2; June 197
    Format: text
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