Intracellular Solitary Pulse Calcium Waves in Frog Sympathetic Neurons
-
摘要: 在一定的胞外环境刺激下,蛙交感神经细胞内存在一类沿着细胞膜径向向内传播的孤立脉冲钙波.该文建立了一个描述蛙交感神经细胞内的钙波动力学模型.在分段线性近似下,模型方程在形式上等同于Sneyd的方程.因此,应用Sneyd的求解方法,我们得到了一维孤立脉冲波速和波形的解析表达式.所求得的孤立钙波的波速为21.5 μm/s,符合实验结果.Abstract: 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.
-
[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.[Ca2+]. 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[Ca2+]. [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.
计量
- 文章访问数: 2645
- HTML全文浏览量: 162
- PDF下载量: 497
- 被引次数: 0