Erratum to: Tracing dynamic biological processes during phase transition

Correction

After the publication of our article [1], we found that a few errors were introduced during the production process.

The mathematical definition of expanded temporal block given in Definition 3 (Expanded temporal block) should have been "the corresponding expanded temporal block $B_i^{*}=\left\{G_i^{*},T_i^{*}|G_i^{*}\subseteq I,G_i^{*}\supseteq G_i,T_i^{*}=T_i\right\}$ satisfies: $\forall x\in G_i^{*},\exists y\in G_i,s.t.C_{x,y}\ge p$" rather than "the corresponding expanded temporal block $B_i=\left\{G_i,T_i|G_i\subseteq I,T_i\subseteq J\right\}$ satisfies: $B_i^{*}=\left\{G_i^{*},T_i^{*}|G_i^{*}\subseteq I,G_i^{*}\supseteq G_i,T_i^{*}=T_i\right\}$".

And the subscript of some variable involved in partial correlation calculation (formula (2)) given in Definition 4 (Partial correlation) should have been "X, Z" rather than "X, 2". The corrected formula is shown here:

$$PR\left(X,Y|Z\right)=\frac{C_{X,Y}-C_{X,Z}{C}_{Y,Z}}{\sqrt{1-C_{X,Z}^2}\sqrt{1-C_{Y,Z}^2}}$$

We regret any inconvenience these errors may have caused.