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  • 1
    Electronic Resource
    Electronic Resource
    THE DESCRIPTION OF HEAT TRANSFER IN BIOLOGICAL TISSUE (1980)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 335 (1980), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1980.tb50741.x
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    GENERAL DISCUSSION (1980)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 335 (1980), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1980.tb50746.x
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Relations between heat transfer in perfused biological tissue and the local symmetry components of the vascular system (1983)
    Springer
    Journal of mathematical biology 18 (1983), S. 223-231 
    Details
    ISSN: 1432-1416
    Keywords: Heat transfer ; Effective heat diffusivity ; Blood flow ; Vascular symmetry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The relation between perfusion and heat transfer in tissue can be formulated in terms of local symmetry components of the vascular system. It is shown that the order of symmetry (dipole, quadrupole etc. symmetry) gives the order of magnitude of perfusion heat transfer. A unidirectional flow component results in a D'Arcy like bulk flow. A non unidirectional flow component contributes to heat transfer at least by a second order term. It acts like an additional effective heat diffusivity. Comparison with experiments confirm the theoretical results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276089
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  • 4
    Electronic Resource
    Electronic Resource
    Heat transfer in perfused biological tissue—II. The “macroscopic” temperature distribution in tissue (1978)
    Springer
    Bulletin of mathematical biology 40 (1978), S. 183-199 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In Part I, the general solution of the heat transport equation was given for a medium of constant thermal properties, containing a general convection fieldv(r,t). Starting from this general solution, an average or “macroscopic” temperature distribution is calculated in this paper, since in most physiological problems only an average or “macroscopic” temperature is accessible to the measurement. It is shown that the averaged temperature distribution is influenced alone by the order of the local symmetries of the convection field. These local symmetries can be deduced from anatomical data on the vascular architecture. In order to perform the averaging process, a detailed discussion, and an estimate of the correlation between the microscopic temperature variation and the convection field is carried out. Hereby, great emphasis is put on the experimental consequences of these results. As an illustrative example, the calculation of the macroscopic temperature distribution in a medium traversed by parallel capillaries is outlined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461434
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  • 5
    Electronic Resource
    Electronic Resource
    Heat transfer in perfused biological tissue—I: General theory (1974)
    Springer
    Bulletin of mathematical biology 36 (1974), S. 403-415 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Green's function for heat and matter transport is calculated for an infinite medium in which a convection field v(r,t) makes a contribution to the total heat and matter current. It is given by a uniformly and absolutely convergent series in which every term is calculated from the preceding one merely by integration. The solution procedure is interpreted physically and illustrated by a simple problem in which v(r,t)=const. in space and time. Since the solution contains no intrinsic spatial symmetry, it can serve as a starting point for a theory of heat and mass transport in perfused biological tissue.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02464617
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  • 6
    Electronic Resource
    Electronic Resource
    A simple solution of the non-stationary heat transport problem in capillarized biological tissue (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 879-889 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The temperature distribution in a perfused biological tissue is calculated for an instaneous point source. An approximate solution, which is simple enough to be evaluated by means of a hand calculator, is derived from the exact solution. It is expressed in terms of the deviation from an average temperature distribution. In an example, using realistic parameters for blood flow and thermal properties of tissue, the approximate solution differs at most 2% from the exact one.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462076
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