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  • Articles  (5,035)
  • 1990-1994
  • 1965-1969  (5,035)
  • 1969  (5,035)
  • Mathematics  (5,035)
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Keywords
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  • 1990-1994
  • 1965-1969  (5,035)
Year
Journal
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Ion and water transport across multicellular membranes through extracellular space by chemiperistaltic waves (1969)
    Springer
    Bulletin of mathematical biology 31 (1969), S. 529-540 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract It is assumed that waves of configurational change of cell surface proteins can pass over the length of columnar cells in a multicellular membrane, thus passing across the membrane. It is expected that waves of change in fluidity of surface water and of Na+ vs K+ complexing preference by cell surface proteins will result from the waves of change in surface protein configuration. The entire wave process is called a chemiperistaltic wave, and is a natural extension of the concepts embodied in the association-induction hypothesis of Ling. It is shown that chemiperistaltic waves may transport Na+ across multicellular membranes through extracellular space between cells in a manner which is consistent with the experiments of Cereijidoet al. (1968) on frog skin. Equations for transport of Na+ by chemiperistaltic waves are derived for an idealized membrane. It seems possible that Na+−K+ activated ATPase may represent the isolated form of the cell surface protein in which chemiperistaltic waves are propagated or that an actomyosin-like protein may be involved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476635
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  • 2
    Electronic Resource
    Electronic Resource
    Evaluation of polymer sequence fragment data using graph theory (1969)
    Springer
    Bulletin of mathematical biology 31 (1969), S. 541-562 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Much of recent work to determine primary structures of nucleic acids and proteins employs the “fragmentation” or “overlap” stratagem. Typically, a preparation of a given polymer with unknown sequence is purified and then subjected to an enzyme known to cut the polymer at certain specific sites. The quantities and sequences of the resulting fragments are determined. For RNA primary sequences, pancreatic ribonuclease and T1 ribonuclease are ordinarily used as fragmenting enzymes. A technique is described for evaluating such fragment data. It has the following properties: It is easily determined whether or not the fragment data is inconsistent. It is always possible to determine the first and last nucleotides of the unknown sequence from the data of two limit digests. Consistent data from two limit digests can always be fitted into a convenient conceptual framework developed within the theory of graphs. In most cases, partial digest information can be used to modify the framework constructed from two limit digests, as such information is obtained. An efficient analysis of all fragment data in this conceptual framework can always be made. One can detect inconsistencies and can generate the entire list of polymer sequences consistent with the fragment data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476636
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  • 3
    Electronic Resource
    Electronic Resource
    Effect of convective flow on the oxygen tension profile in the cornea (1969)
    Springer
    Bulletin of mathematical biology 31 (1969), S. 569-574 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The effect of convective flow on the distribution of a diffusing substance that is being consumed is analyzed. For the mammalian cornea, one of the few tissues where convection, diffusion and consumption simultaneously exist, the effect of convection on the distribution of oxygen is shown to be small.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476638
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  • 4
    Electronic Resource
    Electronic Resource
    Some considerations on relational equilibria (1969)
    Springer
    Bulletin of mathematical biology 31 (1969), S. 605-617 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A previous study (Bull. Math. Biophysics,31, 417–427, 1969) on the definitions of stability of equilibria in organismic sets determined byQ relations is continued. An attempt is made to bring this definition into a form as similar as possible to that used in physical systems determined byF-relations. With examples taken from physics, biology and sociology, it is shown that a definition of equilibria forQ-relational systems similar to the definitions used in physics can be obtained, provided the concept of stable or unstable structures of a system determined byQ-relations is considered in a probabilistic manner. This offers an illustration of “fuzzy categories,” a notion introduced by I. Bąianu and M. Marinescu (Bull. Math. Biophysics,30, 625–635, 1968), in their paper on organismic supercategories, which is designed to provide a mathematical formalism for Rashevsky's theory of Organismic Sets (Bull. Math. Biophysics,29, 389–393, 1967;30, 163–174, 1968;31, 159–198, 1969). A suggestion is made for a method of mapping the abstract discrete space ofQ-relations on a continuum of variables ofF-relations. Problems of polymorphism and metamorphosis, both in biological and social organisms, are discussed in the light of the theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476641
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  • 5
    Electronic Resource
    Electronic Resource
    The left ventricle as confocal prolate spheroids (1969)
    Springer
    Bulletin of mathematical biology 31 (1969), S. 433-439 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A model of left ventricle is described which takes into account the physiologic variations of thickness, a function of time and distance prior to and during ejection, by assuming that the prolate spheroids are confocal at a given instant. The hyperbolic segment of arc between innermost and outermost spheroids, confocal with the latter, defines a so-called functional thickness, for which a derivation is given. Results show that this model operates in a range of eccentricity wherein thickness change per unit internal volume change are greatest.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476628
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  • 6
    Electronic Resource
    Electronic Resource
    On absolute continuity in transformation theory (1969)
    Springer
    Monatshefte für Mathematik 73 (1969), S. 1-6 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297697
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  • 7
    Electronic Resource
    Electronic Resource
    Der Satz von Radon in konvexen Produktstrukturen II (1969)
    Springer
    Monatshefte für Mathematik 73 (1969), S. 7-30 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297698
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  • 8
    Electronic Resource
    Electronic Resource
    Über einen Satz von Hardy-Ramanujan (1969)
    Springer
    Monatshefte für Mathematik 73 (1969), S. 31-35 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297699
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  • 9
    Electronic Resource
    Electronic Resource
    Ein Banachraum analytischer Funktionen in Zusammenhang mit den schlichten Funktionen (1969)
    Springer
    Monatshefte für Mathematik 73 (1969), S. 36-45 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297700
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  • 10
    Electronic Resource
    Electronic Resource
    Schraubungen und Schraublinien n. ter Stufe (1969)
    Springer
    Monatshefte für Mathematik 73 (1969), S. 46-62 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297701
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