Calcium Waves in Thin Visco-Elastic Cells

被引:0
|
作者
Piechor, K. [1 ]
机构
[1] Polish Acad Sci, Inst Fundamental Technol Res, PL-02106 Warsaw, Poland
关键词
calcium waves; mechano-chemical coupling; thin domains; DIFFUSION; SYSTEMS; BUFFERS; EGGS;
D O I
10.1051/mmnp/20138313
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The model we consider treats the cell as a viscoelastic medium filling one of two kinds of thin domains ("shapes" of cells): the thin slab being a caricature of a tissue and the thin circular cylinder mimicking a long cell. This enables us to simplify the system of mechanochemical equations. We construct abundant classes of explicit, but approximate, formulae for heteroclinic solutions to these equations.
引用
收藏
页码:206 / 226
页数:21
相关论文
共 50 条
  • [1] Reaction-diffusion equation modelling calcium waves with fast buffering in visco-elastic environment
    Piechor, K.
    ARCHIVES OF MECHANICS, 2012, 64 (05): : 477 - 509
  • [2] Finite element method on fractional visco-elastic frames
    Di Paola, Mario
    Scimemi, G. Fileccia
    COMPUTERS & STRUCTURES, 2016, 164 : 15 - 22
  • [3] Fractional visco-elastic Timoshenko beam deflection via singleequation
    Pirrotta, Antonina
    Cutrona, Stefano
    Di Lorenzo, Salvatore
    Di Matteo, Alberto
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2015, 104 (09) : 869 - 886
  • [4] Development of backward transient analysis in visco-elastic pressurized pipes
    Mousavifard, Maryam
    Poursmaeili, Fatemeh
    Shamloo, Hamid
    JOURNAL OF HYDRAULIC RESEARCH, 2022, 60 (03) : 423 - 433
  • [5] Damping performance of two simple oscillators coupled by a visco-elastic connection
    Gattulli, Vincenzo
    Potenza, Francesco
    Lepidi, Marco
    JOURNAL OF SOUND AND VIBRATION, 2013, 332 (26) : 6934 - 6948
  • [6] DISCRETE APPROXIMATION OF DYNAMIC PHASE-FIELD FRACTURE IN VISCO-ELASTIC MATERIALS
    Thomas, Marita
    Tornquist, Sven
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (11): : 3865 - 3924
  • [7] Frequency varying rheology-based fluid-structure-interactions waves in liquid-filled visco-elastic pipes
    Bayle, A.
    Rein, F.
    Plouraboue, F.
    JOURNAL OF SOUND AND VIBRATION, 2023, 562
  • [8] ADHESIVE CONTACT OF VISCO-ELASTIC BODIES AND DEFECT MEASURES ARISING BY VANISHING VISCOSITY
    Roubicek, Tomas
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (01) : 101 - 126
  • [9] Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity
    Roubicek, Tomas
    Panagiotopoulos, Christos G.
    Mantic, Vladislav
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2013, 93 (10-11): : 823 - 840
  • [10] Visco-elastic properties of multi-component mixtures of hockey stick shaped liquid crystal compounds
    Chakraborty, Anish
    Chakraborty, Susanta
    Das, Malay Kumar
    Weissflog, Wolfgang
    JOURNAL OF MOLECULAR LIQUIDS, 2018, 265 : 536 - 543