基於資訊理論工具之斑馬魚預期動力學之研究

Abstract

我們希望藉由分析斑馬魚的運動軌跡來量測它們之間的預期行為。如果其中A魚領先於B魚,而訊息是從B魚傳遞到A魚,則我們稱在此系統中A魚有預測B魚的行為。我們利用時間延遲的互信息 (TDMI) 先建立時序關係,再計算傳遞熵 (TE) 確定兩隻魚之間的訊息傳遞方向。我們設計了單向鏡實驗,證實這些方法可以檢測預期事件。不僅如此,通過部分信息分解 (PID) 方法,我們能夠將 TE與不同的 PID 分解項做連結,不同的系統(斑馬魚系統或模擬系統)之間 TE 和 PID 的關係也不盡相同。最後,我們的實驗結果表明,斑馬魚的預期作用主要發生在異性之間,而公魚更容易有預測母魚的行為。

We would like to measure the anticipatory interactions between a pair of zebrafish by tracking their trajectories (x(t) and y(t)). The trajectory y(t) is said to be anticipating x(t) if y(t) is ahead of x(t) while information is transferred from x(t) to y(t). We utilize the method of time delayed mutual information (TDMI) to establish the temporal order and the method of transfer entropy (TE) to determine the direction of information flow between x(t) and y(t). Our experiments with a one-way mirror indicate that anticipatory events can be indeed detected by these methods. More than that, by the method of partial information decomposition (PID), we are able to relate TE with the components of PID for different systems, either the zebrafish system or the synthetic system. Our results show that the anticipatory interactions mainly occur between the opposite sex with the male fish are more likely to anticipate the females.