Monk P B, Othmer H G
Department of Mathematics, University of Delaware, Newark 19716.
Philos Trans R Soc Lond B Biol Sci. 1989 Mar 15;323(1215):185-224. doi: 10.1098/rstb.1989.0005.
A model developed previously for signal relay and adaptation in the cellular slime mould Dictyostelium discoideum is shown to account for the observed oscillations of calcium and cyclic AMP in cellular suspensions. A qualitative argument is given which explains how the oscillations arise, and numerical computations show how characteristics such as the period and amplitude of the periodic solutions depend on parameters in the model. Several extensions of the basic model are investigated, including the effect of cell aggregation and the effect of time delays in the activation and adaptation processes. The dynamics of mixed cell populations in which only a small fraction of the cells are capable of autonomous oscillation are also studied.
先前为细胞黏菌盘基网柄菌中的信号中继和适应而开发的一个模型，被证明可以解释在细胞悬液中观察到的钙和环磷酸腺苷的振荡现象。给出了一个定性的论证，解释了振荡是如何产生的，数值计算表明了诸如周期解的周期和振幅等特征是如何依赖于模型中的参数的。研究了基本模型的几种扩展，包括细胞聚集的影响以及激活和适应过程中的时间延迟的影响。还研究了只有一小部分细胞能够自主振荡的混合细胞群体的动力学。
