Author

José Alberto Rodrigues

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#diffusion models Open access Sep 2026

Mathematical and computational modeling of head and neck cancer for personalized therapy

Abstract We present a coupled mathematical model for tumor progression and treatment-induced tissue remodeling in head and neck cancer. The framework links a reaction–diffusion equation for tumor cell density with finite-strain growth mechanics through a multiplicative decomposition of the deformation gradient. Radiati...

José Alberto Rodrigues · Computational and Applied Ma... · 0 citations

#diffusion models Open access Sep 2026

Learning Memory Operators with Physics-Informed Neural Networks: State Recovery, Kernel Reconstruction, and Parameter Identifiability

Memory-dependent evolution equations replace the time derivative of the state with a convolution against a memory kernel \( K(t) \), and appear throughout anomalous diffusion, viscoelasticity, and tumour-growth modelling.\( K \) is usually fixed a priori, most often to the power-law kernel of a Caputo fractional deriva...

José Alberto Rodrigues · Preprints.org · 0 citations