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  • Springer  (39,521)
  • Oxford University Press  (2,263)
  • 2015-2019
  • 1975-1979  (41,784)
  • 1970-1974
  • 1975  (41,784)
Collection
Keywords
Publisher
Years
  • 2015-2019
  • 1975-1979  (41,784)
  • 1970-1974
Year
  • 11
    Electronic Resource
    Electronic Resource
    Batesian mimicry and signal detection theory (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 367-387 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Signal Detection Theory can be used to provide a mathematical model describing the choice of a predator trying to distinguish between a model and a Batesian mimic. The mathematical model yields a number of a deductions, in particular that it may or may not assist the mimic population if mimics more closely resemble their models. The assumptions underlying the analysis are discussed in some detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459520
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  • 12
    Electronic Resource
    Electronic Resource
    On a possible biological spectroscopy (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 419-425 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A new type of physical transition, denotedS→S *, has been detected in irradiated organic molecules (λ=546 nm) through their interaction with specific biological macromolecules. In a specific enzyme-substrate interaction, a clear enhancement of the reaction rate is observed, when the substrate is irradiated with sharply well defined times. These “efficient irradiation times” are always of the 5k sec type (k=1, 2, 3, …). They have been consistently revealed in a great number of specific biological interactions. The present note demonstrates an important property, i.e. that forevery irradiation time aS→S * transition is induced in organic molecules. It is shown that for any irradiation times different from the 5k sec type (k=1, 2, 3, …) states of theS * type may occur, but the biological macromolecules may “detect” only theS * states induced by irradiations of the 5k sec type.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459523
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  • 13
    Electronic Resource
    Electronic Resource
    A semi-empirical model for flow of blood and other particulate suspensions through narrow tubes (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 459-470 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A semi-empirical model applicable to the flow of blood and other particulate suspensions through narrow tubes has been developed. It envisages a central core of blood surrounded by a wall layer of reduced hematocrit. With the help of this model the wall layer thickness and extent of plug flow may be calculated using pressure drop, flow rate and hematocrit reduction data. It has been found from the available data in the literature that for a given sample of blood the extent of plug flow increases with decreasing tube diameter. Also for a flow through a given tube it increases with hematocrit. The wall layer thickness is found to decrease with increase in blood hematocrit. A comparison between the results of rigid particulate suspensions and blood reveals that the thicker wall layer and smaller plug flow radius in the case of blood may be attributed to the deformability of the erythrocytes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459514
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  • 14
    Electronic Resource
    Electronic Resource
    Three dimensional laminar flow in distorting, axisymmetric, axially varying vessels (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 489-504 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Three dimensional laminar, viscid flow is developed for Newtonian fluids which provides absolute values for axial, radial and tangential velocity fields everywhere if the dimensions of the vessel are known and two simultaneous axial velocities e.g. on and off the central axis in the same plane, and the central axis axial velocity gradient are measured. In addition, normal and shear stresses are determinable. The equation set satisfies geometric and other known flow limiting conditions such as no slip at surfaces etc. and are amenable for inclusion in general, dynamic flow expressions. Alternatively they may be used alone for certain problems involving gradients and secondary flows. A range of illustrations are shown for a distorting vessel with elliptic cross-section and small axial taper (analogous to the pulmonary trunk during ejection).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459516
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  • 15
    Electronic Resource
    Electronic Resource
    Construction, simulation, clinical application and sensitivity analyses of a human left ventricular control system model (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 521-553 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A regulated left ventricular dynamics model is presented which involves interaction of the dynamics of the left ventricular and circulatory systems and their regulation by the central nervous system. On-line human parametric simulation (parameter estimation) and consequential prognostic implications (based on parametric values) are demonstrated. Model responses to simulated physiologic stresses help delineate tolerances of subjects. In order to have an estimate of the reliability of the model, the sensitivity of the model's responses to changes in the values of its intrinsic parameters is assessed. Also determined is the extent to which errors in measuring the pressure affect the calculated values of the model's simulation parameters and subsequently influence the values of other diagnostically useful variables (such as contractility, oxygen consumption rate, heart rate), when the model is used to determine the limiting physiological stress sustainable by the subject. A comparison of the model's composition with those of other similar cardio-circulatory models is included.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459518
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  • 16
    Electronic Resource
    Electronic Resource
    Some strategies for harvesting a single species (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 659-673 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Then-stage harvesting strategy of Elizarov and Svirezhev is examined. As a result, some important new features appear. A discussion is presented on whether or not one should harvest a species at one time stage or wait until a later time. The paper is concerned with contributions which are primarily mathematical formulations and results for continuous, as well as discrete time, logistic growth of a single species being harvested. Age class structure is ignored.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459529
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  • 17
    Electronic Resource
    Electronic Resource
    Treatment of singularity for spatial transfer properties of human visual system at threshold (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 97-100 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463497
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  • 18
    Electronic Resource
    Electronic Resource
    Existence de résonances paramétriques dans des systèmes de transformation d’intérêt biologique (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 1-9 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The study of systems exhibiting a band-pass function is completed for systems whose parameters are time-dependent. In the case of periodic parametric excitations, it is demonstrated that some systems can get into “resonance” for a particular frequency. By studying this problem, a new and probably fruitful approach of some rhythmic behaviours can be made.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463487
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  • 19
    Electronic Resource
    Electronic Resource
    Dynamic optimization of in-series cardiac assistance by means of intra-aortic balloon pumping (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 19-35 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Analytical techniques are developed which permit objective control of asiist device driving systems. In addition to being objective, the techniques described in this paper are optimal in the sense of minimizing a performance index which consists of a term involving left ventricular power and a term involving deviations of aorta hemodynamic parameters from normal values. Comparisons are included of off-line computations and measurements on dogs with experimentally induced myocardial infarctions undergoing intraaortic balloon pumping.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463489
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  • 20
    Electronic Resource
    Electronic Resource
    Simulation of cell behavior: Normal and abnormal growth (1975)
    Springer
    Bulletin of mathematical biology 37 (1975), S. 427-458 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A mathematical model simulating a cell growing in a culture medium is obtained. Using this model, various behavioral patterns of the cell are obtained under different types of disturbances, in particular when (i) a Mg2+ deficiency experiment and, (ii) a split-dose ionizing radiation experiment are carried out, (iii) when disturbances on the rate constants of the biochemical reactions taking place in the nucleus of the cell are applied, and (iv) when the cell's interior components are perturbed. The cell model results obtained agree well with experimental results for the Mg2+ and split dose experiments, and explain the mechanism of the split dose radiation experiment without the need to introduce additional axioms (e.g. healing processes) into the dynamics of the cell. Conditions are obtained which cause the cell to behave in a rapidly growing ‘tumor-like’ mode; it is shown that once the cell moves into this ‘tumor-like’ mode, its behavior is irreversible, i.e. if a disturbance of opposite type is then applied to the ‘tumor’ cell, the cell will not revert back to its original normal behavior.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459513
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