Cell-induced densification and tether formation in fibrous extracellular matrices with biomimetic physics-informed neural networks

Anci Lin; Zhiwen Zhang; Wenju Zhao

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arXiv · 2603.29184

Cell-induced densification and tether formation in fibrous extracellular matrices with biomimetic physics-informed neural networks

Anci Lin·Zhiwen Zhang·Wenju Zhao

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Abstract

Nonconvex multi-well energies in cell-induced phase transitions give rise to fine-scale microstructures, low-regularity transition layers and sharp interfaces, all of which pose numerical challenges for physics-informed learning. Here we introduce biomimetic physics-informed neural networks (Bio-PINNs), which implement a near-to-far curriculum by progressively revealing the computational domain away from the cell boundary and combining this schedule with a deformation-uncertainty proxy that concentrates collocation points near evolving transition layers and tether-forming regions. Across single-cell and multicellular benchmarks, Bio-PINNs recover the densified phase more reliably near cell boundaries and in intercellular gaps, while capturing tether morphology more faithfully than representative ungated and residual-driven adaptive baselines.

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Anci Lin, Zhiwen Zhang, Wenju Zhao. 2026-03-31. Cell-induced densification and tether formation in fibrous extracellular matrices with biomimetic physics-informed neural networks. https://arxiv.org/abs/2603.29184

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