2015/07/21 by Paul C. Bressloff, Bhargav R. Karamched · 1 citation
Biochemistry, Genetics and Molecular Biology · #Gene Regulatory Network Analysis #Advanced Fluorescence Microscopy Techniques #Microtubule and mitosis dynamics
paper · pdf · doi:10.3389/fncel.2015.00281
openalex publication_date 2015/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We have recently developed a mathematical model of axonal length sensing in which a system of delay differential equations describe a chemical signaling network. We showed that chemical oscillations emerge due to delayed negative feedback via a Hopf bifurcation, resulting in a frequency that is a monotonically decreasing function of axonal length. In this paper, we explore how frequency-encoding of axonal length can be decoded by a frequency-modulated gene network. If the protein output were thresholded, then this could provide a mechanism for axonal length control. We analyze the robustness of such a mechanism in the presence of intrinsic noise due to finite copy numbers within the gene network.