SPARSITY investigates spatial particle-based stochastic reaction-diffusion systems with heterogeneous interaction. It aims to develop a comprehensive mathematical model for studying the impact of radiation on biological tissue in the context of FLASH radiotherapy - a pioneering treatment modality poised to revolutionize the field of radiotherapy. 

Despite the biological advantages of FLASH radiotherapy, the underlying mechanism is largely unknown. The project focuses on formulating a mathematical theory for the formation and time-evolution of radiation-induced DNA damage, considering stochastic radiation effects on both the biological and chemical environment. Emphasis is placed on incorporating spatial features and interactions within and between cells, exploring microscopic particle-based stochastic reaction-diffusion systems and non-local reaction-diffusion Stochastic Partial Differential Equations.

Funded by the European Union under NextGenerationEU. PRIN 2022 PNRR.