SHI Xiao-min, DAI Shi-qiang. Intracellular Solitary Pulse Calcium Waves in Frog Sympathetic Neurons[J]. Applied Mathematics and Mechanics, 2005, 26(2): 137-144.
Citation: SHI Xiao-min, DAI Shi-qiang. Intracellular Solitary Pulse Calcium Waves in Frog Sympathetic Neurons[J]. Applied Mathematics and Mechanics, 2005, 26(2): 137-144.

Intracellular Solitary Pulse Calcium Waves in Frog Sympathetic Neurons

  • Received Date: 2003-12-15
  • Rev Recd Date: 2004-09-24
  • Publish Date: 2005-02-15
  • In certain extracellular environments,there would appear a kind of solitary pulse calcium waves in Rana pipiens sympathetic neurons,propagating inwards along the radial direction from the plasma membrane.To gain a deeper insight into the waves,a model describing intracellular calcium waves in frog sympathetic neurons was established.In the piecewise linear approximation,the present model is identical to the Sneyd model.Thus,with Sneyd's method,analytical expressions for the wave speed and profiles of 1D solitary pulse wave were obtained.A wave speed of 21.5μm/s was deduced,which agrees rather well with experimental data.
  • loading
  • [1]
    McDonough S I, Cseresnyes Zoltan, Schneider M F. Origin site of calcium release and calcium oscillation in Frog sympathetic neurons[J].J Neurosci,2000,20(11):9059—9070.
    [2]
    施小民.非洲爪蟾卵母细胞内的螺旋钙波和靶波[J].上海大学学报,2003,9(4):365—368.
    [3]
    Keener J, Snedy J.Mathematical Physiology[M].New York: Springer-Verlag, 1998,332—353.
    [4]
    Friel D D.[Ca2+]. i oscillations in sympathetic neurons: an experimental test of a theoretical model[J].Biophys J,1995,68(5): 1752—1766.
    [5]
    Sneyd J, Girard S, Clapham D. Calcium wave propagation by calcium-induced calcium release: an unusual excitable system[J].Bull Math Biol,1993,55(2):315—344.
    [6]
    Goldbeter A, Dupont G, Berridge M J. Minimal model for signal-induced calcium oscillations and for their frequency encoding through protein phosphorylation[J].Proc Natl Acad Sci USA,1990,87(5):1461—1465. doi: 10.1073/pnas.87.4.1461
    [7]
    Chopra O C, Sleeman B D, Brindley J,et al. Velocity and stability of solitary planar traveling wave solutions of intracellular[Ca2+]. [J].Bull Math Biol,1999,61(1):273—301.
    [8]
    施小民. 细胞内钙振荡和钙波的生成、演化及其生理响应[D].博士论文.上海:上海大学,2003.
    [9]
    Murray J D.Mathematical Biology[M].Berlin, Heidelberg: Springer-Verlag,1993, 704—705.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2645) PDF downloads(497) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return