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  • Physarum  (4)
  • Key Words: Inhomogeneous-Nonlinear Problem  (1)
  • Rhythmic contraction  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 22 (1998), S. 367-374 
    ISSN: 1432-0924
    Keywords: Key Words: Inhomogeneous-Nonlinear Problem ; Boundary Element Method ; Integral Equation ; Polynomial Approximation ; Least Square Method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A new formulation is presented in this paper for the boundary element analysis of a nonlinear potential-type problem wherein the linear term is governed by the Laplace operator, and the nonlinear term is a function of the spatial coordinates as well as the unknown solution function. The formulation aims to transform the domain integral relevant to the inhomogeneous-nonlinear term to a corresponding boundary integral. The proposed approach is different from the more popular schemes for the purpose, such as the Dual Reciprocity and Multiple Reciprocity Methods. The inhomogeneous-nonlinear term is first approximated by a polynomial in terms of the space coordinates with unknown coefficients. Integral equations on the selected points (referred to “computing points”) on the boundary as well as inside domain are employed to determine the above-mentioned unknown coefficients using the least square method. The number of computing points affects the accuracy of the result, which is discussed through some numerical examples in two-dimensional space.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Protoplasma 109 (1981), S. 159-168 
    ISSN: 1615-6102
    Keywords: ATP level ; Oscillation ; Plasmodium ; Physarum ; Rhythmic contraction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Using bioluminescence of luciferin-luciferase, we showed that ATP leaked out rhythmically from a strand segment ofPhysarum plasmodium made permeable with caffeine-arsenate. With simultaneous measurement of isometric tension rhythm of the strand, it was revealed that the period and phase of oscillation in ATP leakage correspond well with those of tension production. Further, microinjection of luciferin-luciferase into the plasmodial strand indicated that the intracellular luminescence of luciferin-luciferase also oscillates with the same period and in the same phase as the tension rhythm. The free ATP concentration in a homogenate ofPhysarum plasmodium was of the order of 10 μM, but if the homogenate was heated in boiling water, the intensity of luminescence suddenly increased 10–100 fold. ATP available for mechanical workin vivo is thus supposed to be at a much lower level than the total average, which was found in the range of 0.2–0.7 mM.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Protoplasma 110 (1982), S. 63-65 
    ISSN: 1615-6102
    Keywords: Ca2+ oscillation ; Homogenate ; Physarum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Using aequorin luminescence, we observed a distinct oscillation in Ca2+ levels in the supernatant of the homogenate ofPhysarum plasmodium. Ca2+ oscillation continued for 10–120 minutes, with a period coinciding with that of the contraction rhythm of a plasmodium.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 0886-1544
    Keywords: birefringence ; Physarum ; acellular slime mold ; cytoplasmic streaming ; contractility ; rhythm ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: Birefringent fibrils (BRFs) with a positive sign composed of bundles of F-actin were found throughout the Physarum plasmodium with the mode of existence differing regionally. In the zone behind the leading edge of an advancing plasmodium, where cytoplasmic sol and gel were still not well differentiated, more BRFs came to the foreground when the endoplasm flowed backward (emptying phase), and a substantial portion disappeared when the endoplasm flowed forward (filling phase), except for nodes, from which BRFs were reorganized in the early emptying phase of each cycle. BRFs found in the wall of the streaming channel in the posterior network and the branched vein section ran in parallel to or helically around the channel. They were much more stable and maintained strong birefringence irrespective of the direction of the cytoplasmic flow. When the fan-like expanse ceased moving forward, the BRFs no longer appeared and disappeared cyclically but persisted in the area which had previously been the front. We concluded that the site of the active contraction-relaxation rhythm in an advancing plasmodium with antero-posterior polarity is restricted to its frontal zone and that the rest of the plasmodium is in a state of “tonus” which continuously imparts a certain level of hydrostatic pressure to the interior. The meaning of the tonus and the mechanics of tensile force production in the plasmodium are discussed in terms of a working hypothesis arrived at from the phase relationship between isometric and isotonic contraction waves.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    Cell Motility and the Cytoskeleton 1 (1981), S. 433-443 
    ISSN: 0886-1544
    Keywords: Physarum ; acellular slime mold ; calcium ion ; calcium-ionophore ; cytoplasmic contraction ; oscillation ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: Calcium is now generally thought to play a key role in regulating a variety of cellular movements. When the plasmodium of Physarum polycephalum was treated with the calcium-ionophore A23187 or the quasi-ionophore amphotericin B, Ca2+ leaked out. Ca2+ efflux into the ambient solution from the plasmodial strand segment was measured by the luminescence of a photoprotein aequorin, and the tensile force production was recorded simultaneously. Ca2+ efflux oscillated with the same period as the cycle of tension generation in the strand, but the phase of cyclic changes in Ca2+ efflux was opposite to that of tension generation. That is, Ca2+ efflux fell in the increasing tension phase and rose in the decreasing tension phase. Cyclic changes in efflux of Ca2+ are provisionally interpreted as reflecting corresponding changes in concentrations of free Ca2+ in the cytoplasm.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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