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  • Springer  (720,586)
  • American Chemical Society (ACS)  (58,792)
  • MDPI - Multidisciplinary Digital Publishing Institute
  • 2010-2014  (511,929)
  • 1985-1989  (267,449)
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Keywords
Publisher
Language
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Year
  • 11
    Electronic Resource
    Electronic Resource
    The existence of stable equilibria in Volterra predator-prey systems represented by loop graphs (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 489-494 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Criteria for the existence of globally stable equilibria in classical Volterra predator-prey systems represented by loop graphs are provided by comparing the community matrix with a matrix belonging to matrix classS W .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460008
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  • 12
    Electronic Resource
    Electronic Resource
    Pattern regulation in reaction-diffusion systems-the problem of size invariance (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 475-487 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Ordinary reaction-diffusion mechanisms do not account for size invariance properties of morphogenetic fields. We show that such a failure results from ignoring cell individuality. By considering purely topological factors, such as the number of intercellular contacts or the extent of the cell surface in contact with neighbouring cells, size invariance exists in reaction-diffusion systems. Our results are general, model independent and may be applied to any multi-unit ensemble exhibiting coherent behaviour.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460007
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  • 13
    Electronic Resource
    Electronic Resource
    Effects of twist on pulse waves in arteries (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 495-502 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The artery is treated as a thick-walled cylindrical shell. Using the large deformation theory, an analytical expression for the pulse wave speed is obtained and the effect of twist on the wave speed is discussed. Numerical results indicate that although phase velocity increases with pressure, it decreases with increasing twist angle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460009
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  • 14
    Electronic Resource
    Electronic Resource
    Effects of the shape of stenosis on the resistance to blood flow through an artery (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 545-550 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The effect of the shape of stenosis on the resistance to blood flow through an artery with mild local narrowing has been studied. It is shown that the resistance to flow decreases as the shape of stenosis changes and the maximum resistance is attained in the case of symmetric stenosis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460013
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  • 15
    Electronic Resource
    Electronic Resource
    A method for numbering binary rooted and unrooted phylogenies and their hypothetical taxonomic units (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 535-543 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A set of 2n−2 relations (edges) and a set ofn−1 hypothetical taxonomic units (HTUs) derive from the estimation of a binary phylogeny of a set ofn operational taxonomic units (OTUs). We propose an easy way for numbering thesen−1 hypothetical taxonomic units, as well as for then−2 interior points of an unrooted binary phylogeny. We also present an alternative method to the one proposed by Rohlf (Bull. math. Biol. 45, 33–40, 1983) for numbering the π i=1 n (2i−3) possible rooted binary phylogenies and the π i=1 n−1 (2i−3) possible unrooted binary phylogenies conerning a set ofn operational taxonomic units. An illustrative example of the method is presented. It is hoped that some studies in phylogenetics will become more accessible, from the viewpoint of computational economy, by the use of this method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460012
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  • 16
    Electronic Resource
    Electronic Resource
    Mathematical modeling of opiate binding to mouse brain membrane (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 503-512 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The heterogeneity of rat brain opiate receptors was examined by analyzing competition data. The binding of three prototypical tritiated opioid agonists, [3H]-dihydromorphine ([3H]-DHM), [3H]-D-ala2-D-leu5-enkephalin ([3H]-DADLE), and [3H]-ethylketocyclazocine ([3H]-EKC) was determined in the presence of varying concentrations of each of these unlabeled ligands, generating nine displacement curves. A computer program was then used to find the best fit of a model system to these data, assuming two, three or four independent binding sites. The best fit was a four-site model. One of these sites is specific for DHM; two are relatively selective for DHM and DADLE respectively, but also bind EKC. The remaining site binds only EKC with high affinity. These results, together with displacement data using naloxone, FK33824, and D-ala2-met5-enkephalinamide, are discussed in terms of current opiate receptor models.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460010
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  • 17
    Electronic Resource
    Electronic Resource
    Capillary operators—II (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 651-668 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract This work continues with an examination of capillary exchange models as operators, namely the operatorsO k andK αk relating extravascular and intravascular concentration to input for the Krogh cylinder model of a single capillary, a model basic to many organ models. Fundamental algebraic and analytic properties are presented: the operators belong to a commutative Banach algebra; an addition theorem holdsK αk +K βk =K α+β,k ; the operatorK αk has an inverse;K αk -1 , (as an operator on LebesgueL p space or on the locally integrable functions); partial derivatives are given forK αk [f](t) andO k [f](t) (sensitivity functions); and inequalities are established for the derivatives. Dominance relations between model curves are inferred. Error bound formulas are presented forK andO as bounds on ‖K αk f-K βl f‖ p and ‖O k f-O l f‖ p for allL p . Consequent limitations on relative errors are shown. The implications for operators on a finite time interval are deduced.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460131
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  • 18
    Electronic Resource
    Electronic Resource
    A theoretical analysis for determining the nonlinear hydraulic permeability of a soft tissue from a permeation experiment (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 669-683 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The nonlinear nature of the hydraulic permeability, as well as the corresponding pressure and displacement fields, in a soft tissue are studied for steady-state permeation. From a two-phase continuum model analytical expressions are derived that can be used with the results from a permeation experiment to determine the dependence of the permeability on the strain. In the process it is found that, because of the compaction of the tissue arising from fluid flow, it is necessary to distinguish between the apparent and intrinsic permeability. The former, which is an averaged quantity, is the permeability usually obtained in permeation studies. However, as shown from the analysis, it can differ substantially from the latter, which is the local permeability in the tissue.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460132
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  • 19
    Electronic Resource
    Electronic Resource
    Editorial: Software survey section (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. I 
    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/BF02460134
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  • 20
    Electronic Resource
    Electronic Resource
    Editor's comments (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 695-695 
    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/BF02469298
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