Frank T D
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Straße 9, 48149 Münster, Germany.
J Biol Phys. 2004 Jun;30(2):139-59. doi: 10.1023/B:JOBP.0000035845.80069.b5.
A nonlinear master equation (NLME) is proposed basedon general information measures.Classical and cut-off solutions of the NLME are considered.In the former case, the NLME exhibits uniquely defined stationary distributions. In the latter case, there are multiple stationary distributions.In particular, for classical solutions, it is shown that transient solutions converge to stationary distributions that maximize information measures (H-theorem). Cut-off distributions arestudied numerically for the Haken-Kelso-Bunz model. The Haken-Kelso-Bunz modelis known to describe multistable human motor control systems. It is shownthat a stochastic Haken-Kelso-Bunz model based on a NLME can exhibit multiplestationary cut-off distributions.In doing so, we illustrate that multistability in stochastic biological systems can beestablished by means of cut-off distributions.
基于通用信息测度提出了一个非线性主方程（NLME）。考虑了NLME的经典解和截止解。在前一种情况下，NLME表现出唯一确定的平稳分布。在后一种情况下，则存在多个平稳分布。特别是，对于经典解，结果表明瞬态解收敛到使信息测度最大化的平稳分布（H定理）。针对哈肯 - 凯尔索 - 布恩茨模型对截止分布进行了数值研究。众所周知，哈肯 - 凯尔索 - 布恩茨模型描述了多稳态人体运动控制系统。结果表明，基于NLME的随机哈肯 - 凯尔索 - 布恩茨模型可以表现出多个平稳截止分布。通过这样做，我们说明了随机生物系统中的多稳态可以通过截止分布来建立。
