分子通訊中分子鎖相迴路集體行為之探討

Abstract

在設計複雜系統時，集體行為的探討是一廣為人知且相當重要的主題。以一個群體的角度而言，當許多機器彼此之間有交互作用互相影 響時，將可產生有別於單一機器時的行為，在此篇論文中我們考慮一個特殊的複雜系統─人類的心跳，人的心跳基本上是有韻律性的。經 由修正型的分子鎖相迴路模型，我們發現當大量機器彼此互相作用時在特定環境參數的設定下，將有可能產生混沌的現象。除此之外，在 某些特定的距離範圍下，將會產生韻律的現象。我們藉由程式模擬的方式得到了形成韻律的條件，這些結果將可以用在複雜系統的設計以 及控制。

Study of collective behavior is a very important topic and widely known in complex system design. The behavior of massive agents interacting with each other and assembling together can construct fundamentally different phenomenon compared to single agent in the view of whole groups. We consider a special complex system in this thesis, i.e. human heart beating, which has rhythms at all. Through revised Molecular Phase-Lokced Loop(MPLL) model, we find that massive agents interacing and assembling together would probably result in chaotic behavior under certain specific condition and parameter setting. Also, at certain distance range, the rhythm would appear. We obtain the condition that the rhythm can happen through program simulation. Those results can be used as guidelines for complex system designing and control.