2025/12/12 by Kotsuka, Taishi, Yeung, Enoch
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Biomolecules (q-bio.BM) #FOS: Biological sciences #FOS: Electrical engineering #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Molecular Communication and Nanonetworks #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.2512.11244
openalex publication_date 2025/12/12 · openalex created_date 2025/12/16 · openalex updated_date 2026/07/28
We investigate multicellular sender receiver systems embedded in hydrogel beads, where diffusible signals mediate interactions among heterogeneous cells. Such systems are modeled by PDE ODE couplings that combine three dimensional diffusion with nonlinear intracellular dynamics, making analysis and simulation challenging. We show that the diffusion dynamics converges exponentially to a quasi steady spatial profile and use singular perturbation theory to reduce the model to a finite dimensional multiagent network. A closed form communication matrix derived from the spherical Green's function captures the effective sender receiver coupling. Numerical results show the reduced model closely matches the full dynamics while enabling scalable simulation of large cell populations.