Home / Journals / MCB / Vol.10, No.3, 2013
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  • Open AccessOpen Access

    ARTICLE

    Investigation of Tissue Thermal Damage Process with Application of Direct Sensitivity Method

    Marek Jasiński*
    Molecular & Cellular Biomechanics, Vol.10, No.3, pp. 183-199, 2013, DOI:10.3970/mcb.2013.010.183
    Abstract In the paper the numerical analysis of thermal processes proceeding in the biological tissue is presented. The tissue is subjected to the external heat flux and 2D problem is taken into account. In order to determine the influence of variations of thermophysical parameters of tissue on the value of Arrhenius injury integral the direct approach of sensitivity analysis is applied. On the basis of tissue damage fraction the thermal injury formation process is analysed. At the stage of numerical realization the boundary element method is used. In the final part of the paper the example of numerical simulation is shown. More >

  • Open AccessOpen Access

    ARTICLE

    Application of Different Variants of the BEM in Numerical Modeling of Bioheat Transfer Problems

    Ewa Majchrzak*
    Molecular & Cellular Biomechanics, Vol.10, No.3, pp. 201-232, 2013, DOI:10.3970/mcb.2013.010.201
    Abstract Heat transfer processes proceeding in the living organisms are described by the different mathematical models. In particular, the typical continuous model of bioheat transfer bases on the most popular Pennes equation, but the Cattaneo-Vernotte equation and the dual phase lag equation are also used. It should be pointed out that in parallel are also examined the vascular models, and then for the large blood vessels and tissue domain the energy equations are formulated separately. In the paper the different variants of the boundary element method as a tool of numerical solution of bioheat transfer problems are discussed. For the steady… More >

  • Open AccessOpen Access

    ARTICLE

    Numerical Modeling of Skin Tissue Heating Using the Interval Finite Difference Method

    B. Mochnacki*, Alicja Piasecka Belkhayat
    Molecular & Cellular Biomechanics, Vol.10, No.3, pp. 233-244, 2013, DOI:10.3970/mcb.2013.010.233
    Abstract Numerical analysis of heat transfer processes proceeding in a nonhomogeneous biological tissue domain is presented. In particular, the skin tissue domain subjected to an external heat source is considered. The problem is treated as an axially-symmetrical one (it results from the mathematical form of the function describing the external heat source). Thermophysical parameters of sub-domains (volumetric specific heat, thermal conductivity, perfusion coefficient etc.) are given as interval numbers. The problem discussed is solved using the interval finite difference method basing on the rules of directed interval arithmetic, this means that at the stage of FDM algorithm construction the mathematical manipulations… More >

  • Open AccessOpen Access

    ARTICLE

    Differential Orientation of 10T1/2 Mesenchymal Cells on Non-Uniform Stretch Environments

    WJ Richardson, DD van der Voort, E Wilson, JE Moore Jr.∗,‡
    Molecular & Cellular Biomechanics, Vol.10, No.3, pp. 245-265, 2013, DOI:10.3970/mcb.2013.010.245
    Abstract Non-uniform stress and strain fields are prevalent in many tissues in vivo, and often exacerbated by disease or injury. These mechanical gradients potentially play a role in contributing to pathological conditions, presenting a need for experimental tools to allow investigation of cell behavior within non-uniformly stimulated environments. Herein, we employ two in vitro cell-stretching devices (one previously published; one newly presented) capable of subjecting cells to cyclic, non-uniform stretches upon the surface of either a circular elastomeric membrane or a cylindrical PDMS tube. After 24 hours of cyclic stretch, 10T1/2 cells on both devices showed marked changes in long-axis orientation,… More >

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