Background: The records of the interesting genes expressions have stimulated new development of analysis techniques and subsequently understanding the gene co-expressions. However, a simple method to extract the patterns with more preserved information in high-dimensional gene expressions profile is still an open challenge. In this article, the coherent dynamical pattern corresponds to viral recognition receptors were unveiled by employing the Dynamic Mode Decomposition (DMD) to the time-course gene expression profiles. Dynamic mode decomposition executes a lowdimensional spectral decomposition of the records into modes.
Results: Each element within a single mode provides a measure of gene’s expression participated in the mode and the gene’s expression phase of oscillation relative to others. The amplitudes quantify modes influence; the associated eigenvalues characterizes the frequency and growth rate of the modes. Using the eigenvalues, dynamic modes and amplitudes, the symptomatic influenza infection individuals are distinguished from the asymptomatic individuals. The symptomatic individuals has one positive real eigenvalue ( βI > 0 ), shows the increase of the receptor response due to the replication of virus. Then, generating exacerbated local immune responses, which results in acute infection and increases pathogenesis. The asymptomatic individuals has two real positive eigenvalues ( βH > 0 )
Conclusion: The positive real eigenvalue from the symptomatic individuals shows the increase of the receptor response due to the replication of virus. Then, generating exacerbated local immune responses, which results in acute infection and increases pathogenesis. While the positive eigenvalues from asymptomatic individuals corresponds to the receptors that activates the innate immunity response promoting the viral clearance. Deep understanding of these patterns does not only shed new light on developing the immuno-therapy of influenza A virus but also on emerging acute respiratory distress like a currently novel corona-virus distress-19