MULTIPHYSICS DIGITAL TWIN OF A NONLINEAR TPMS‑GRADED BIODEGRADABLE BONE IMPLANT

Abstract

A mathematical model and computational implementation of a digital twin for a bioresorbable polylactide (PLA) bone scaffold with a functionally graded triply periodic minimal surface (TPMS) architecture are developed. The model comprises four state variables (polymer mass, osteoblast population, growth factor concentration, and newly formed bone mass) and a system of reaction–diffusion equations adapted to the 3D geometry. For the first time, it is shown that under certain physiological conditions, a simplified local (spatially homogeneous) version of the system exhibits chaotic dynamics resembling the Rössler, Aizawa and Rucklidge attractors. This finding allows interpreting unpredictable fluctuations in resorption and osteogenesis rates as a manifestation of deterministic chaos, which should be taken into account in clinical prognosis. A sigmoidal spatial porosity gradient is proposed to mimic the cortical–trabecular transition, and stable dynamics are demonstrated for the corresponding full 3D spatial model.

Recommended articles

CENTRIFUGAL FORCE COMPENSATION IN MACHINING LATHE CHUCKS – PATENTS STATE OF ART

JERZY BOCHNIA, TOMASZ KOZIOR
Keywords: Lathe chucks | centrifugal force | patents

ANNULAR EROSION FOOTPRINT UNDER STATIC ULTRASONIC PULSATING WATER JET EXPOSURE

JAKUB POLOPRUDSKY, AKASH NAG, GABRIEL STOLARIK, ALICE CHLUPOVA, SERGEJ HLOCH
Keywords: pulsating water jet | Erosion pattern | Annular erosion footprint | morphology | scanning electron microscopy