Cyber-physical modeling and prediction of self-healing processes dynamics in bioconcrete

The phenomenon of self-healing concrete is based on the processes of functioning and regeneration of bacteria, and the production of calcite as a result of their vital activity. At the same time, the peculiarities of calcite production by bacteria, their regeneration rate and quantitative characteristics have not been studied at the present stage. A problematic scientific issue is also a type of bacteria with a high rate of calcite production and, accordingly, the ability to heal microcracks. This article presents the cybernetic foundations of modeling self-healing processes in bio-concrete. The concept of creating smart self-healing materials based on the reaction-diffusion equations is proposed. The article substantiates the consideration of bacterial colonies in concrete as a distributed computing network that processes damage information, and presents basic mathematical models describing the dynamics of the bacterial population (reaction-diffusion equation), resource consumption, and kinetics of crack healing. The central element of the proposed approach is the concept of a cyberphysical system (CFS) that integrates sensor monitoring data on environmental parameters (humidity, temperature, pH) with a hybrid predictive model combining physico-chemical equations and a neural network add-on to assess and optimize recovery rates. Feedback modeling and the application of the principles of Proportional-Integral-Derivative control to biological processes suggest the potential for adaptive control of material properties, although the practical implementation of such a system remains a difficult task.