Mathematical modeling of tumor based on in vitro and in vivo data, and in vitro to in vivo extrapolation and its challenges: a literature review

This literature review aims to summarize in vitro and in vivo biological models used in cancer research, mathematical modeling of tumor proliferation, and the crucial process of in vitro to in vivo extrapolation. Discussing the advantages and disadvantages of in vitro and in vivo models in tumor research, emphasizing the importance of mathematical modeling in understanding tumor dynamics and treatment responses. The paper also focuses on the challenges of in vitro to in vivo extrapolation, demonstrating how it helps in translating laboratory findings to real-life scenarios. It clarifies the importance of this process in developing clinically relevant models for tumor behavior and treatment outcomes. Overall, the study provides a comprehensive overview of tumor research, emphasizing the interdisciplinary approach involving biology, medicine, physics, chemistry, and engineering to combat one of the leading causes of death globally.