Broadcast feedback control of cell populations using stochastic Lyapunov functions with application to angiogenesis regulation
Broadcast feedback control of cell populations using stochastic Lyapunov functions with application to angiogenesis regulation
复制标题
使用随机 Lyapunov 函数对细胞群进行广播反馈控制并应用于血管生成调节
DOI：
10.1109/acc.2008.4586803
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
H. Asada
中科院分区：
文献类型：
--
作者：
L. Wood;Anusuya Das;H. Asada
本文介绍了一种广播反馈方法来控制细胞群的聚合行为。血管生成过程的控制，这是已知的表现出随机行为，是目标应用。考虑一个简单的模型，它假设需要控制到特定位置或沿着轨迹的独立单元云。在每个时间步长，每个单元都随机决定向右、向左移动或保持在当前位置。此外，每个细胞在运动后都有一个单位时间的不应期，在此期间它不能再运动。因为细胞生活在“潮湿”的环境中，独立控制它们的行为是不可行的。相反，系统输出是云的质心，控制器使用输出和参考之间的误差来广播单个转换概率到单元集合。利用随机李雅普诺夫函数得到了输出稳定的条件。对胞云的色散进行了分析。添加额外的细胞间调节行为以更好地表示真实系统，并导致在一些额外假设下的方差控制方法。仿真验证了理论结果，证实了总输出可以稳定地控制在参考点或沿轨迹。
This paper introduces a broadcast feedback approach to controlling the aggregate behavior of a population of cells. Control of the angiogenesis process, which is known to exhibit stochastic behavior, is the target application. A simple model is considered that assumes a cloud of independent cells that need to be controlled to a specific location or along a trajectory. Each cell makes a random decision to move to the right, to the left, or remain in its current location at each time step. Additionally, each cell has a unit time refractory period after a movement during which it cannot move again. Because the cells live in a "wet" environment, it is not feasible to control their behavior independently. Instead, the system output is the centroid of the cloud, and the controller uses the error between the output and the reference to broadcast a single probability of transitioning to the ensemble of cells. Conditions for stability in the output are obtained using a stochastic Lyapunov function. An analysis of the dispersion of the cloud of cells is given. Additional intercellular regulatory behavior is added to better represent a real system and leads to a method of variance control under some additional assumptions. Simulation verifies the theoretical results and affirms that aggregate output can be stably controlled to a reference or along a trajectory.