The CEMRACS is a scientific event of the SMAI (the French Society of Applied and Industrial Mathematics). The concept was initiated in 1996 by Yvon Maday and Frédéric Coquel and takes place every year at CIRM in Luminy (Marseille, France) during 6 weeks from mid-july. The goal of this event is to bring together scientists from both the academic and industrial communities to work and discuss on focused topics. During the first week, a classical summer school is proposed. It consists of several lectures given by leading scientists and related to the topics of the research projects. The remaining 5 weeks are dedicated to working on the research projects, possibly after a morning seminar. CEMRACS’18 will be the twenty-third of the series. The aim of this CEMRACS is to focus on the mathematical models applied to natural sciences. For several years, application of mathematics to biology or medicine has become a major field of interest. Important progresses have been made in multiscale and multiphysics modeling, for both theoretical and numerical aspects. These simulations can be viewed as an alternative to in vivo or in vitro experiments and may be referred to as in silico experiments. A major advantage of these in silico experiments is that they do not require invasive procedures and can be easily used to elaborate/test different scenarii. The contribution of mathematical and numerical models to research and development in the biomedical field can be at several levels. In a first step, this may provide valuable tools to understand/explain the underlying biomedical phenomena or the observations. In a second step, it can also help to make a prediction (for tumor growth, drug efficiency,…). Finally, it can be integrated as a part of the decision process as an optimization tool. CEMRACS’18 will consist of two joint events:

a one week summer school (July 16 – July 21) an intensive 5-week long research session (July 23 – August 24).