Biololysm: Toward Digital Twin Approach for Complex In Vitro Models - Digital Twin for Advanced Biological System Modelling: Integrating In Silico and Organs-on-Chip Approaches - what biologists can and dare to ask, what mathematicians dare to and can answer? This event aims to focuses on understanding how to integrate the concepts present in the title in scientific discussions involving researchers working in a large scope of different fields. For this reason, the conference will request presentations that address the topics of in-silico, in-matematico and advanced in-vitro models from a general standpoint, methodologies, and the questions/responses to be offered to other domains, including mathematics. The final aim is to help to build a common language that allows, on one hand, those with a biological background to understand what to expect and what to ask of the models, particularly in-silico models, and on the other hand, for modelers to understand the questions that need to be answered, and which tools are most suitable, in particular in contact with the mathematical community. The scientific organization of the event will include the CNR D3-4HEALTH partners, the CNRS IRL LYSM, Laboratoire Ypatia des Sciences Mathématiques, and the Italian Society for Organ-on-Chip. The goal is to bring together active and proven researchers from the various sectors involved to reflect on the topics mentioned, also through roundtable discussions or other forms of debate, with the perspective to stream the event to other people, particularly PhD students and young researchers.