Differential equations

  • Article
    | Open Access

    Network motif models focus on small sub-networks in biological systems to quantitatively describe overall behavior but they often overlook time delays. Here, the authors systematically examine the most common network motifs via delay differential equations (DDE), often leading to more concise descriptions.

    • David S. Glass
    • , Xiaofan Jin
    •  & Ingmar H. Riedel-Kruse
  • Article
    | Open Access

    Macrophage activation is tightly regulated to maintain immune homeostasis, yet activation is also heterogeneous. Here, the authors show that macrophages coordinate activation by partitioning into two phenotypes that can nonlinearly amplify collective inflammatory cytokine production as a function of cell density.

    • Joseph J. Muldoon
    • , Yishan Chuang
    •  & Joshua N. Leonard
  • Article
    | Open Access

    Phenotypic cell-to-cell variability contributes to fractional killing, but the mechanisms are incompletely understood. Here the authors show that mitochondrial density correlates with cell survival in response to TRAIL, and that variable effective concentrations of Bax/Bak contribute to the effect.

    • Luís C. Santos
    • , Robert Vogel
    •  & Pablo Meyer
  • Article
    | Open Access

    Proteome and transcriptome often show poor correlation, hindering the system-wide analysis of post-transcriptional regulation. Here, the authors study proteome and transcriptome dynamics during Drosophila embryogenesis and present basic mathematical models describing the temporal regulation of most protein-RNA pairs.

    • Kolja Becker
    • , Alina Bluhm
    •  & Stefan Legewie