Mathematical Modelling in Medicine: From Cell Biology to Clinical Application

Dear Colleagues,

Over the years, great emphasis has been placed on the connection between mathematics and medicine. The ability of mathematics to find new answers to the increasingly complex questions of medicine has given this field a special role in the growth of knowledge and related innovations in the medical field. The most widespread application of mathematics in medicine is the use of probability and statistics in validating new drugs or procedures or in estimating survival rates. In recent years, more and more researchers have focused on finding mathematical models that can describe complex real-world systems in mathematical terms. Common mathematical models include differential equation models, statistical models, machine learning models, and network science models. Depending on the nature of the specific medical problem, these models can provide accurate answers to medical questions. However, although mathematics is an important contributor to medicine, the research field of mathematical modeling seems to be far from clinical research and, more importantly, from routine clinical practice. The goal of this Special Issue is to introduce non-mathematical medical professionals to the world of mathematical modeling so that they can find a new research approach to the many medical questions that need to be answered. Through the contributions of mathematicians and medical professionals, the Special Issue aims to bring the two fields closer together so that mathematics and medicine can work together in the search for innovative, patient-centered, and accurate answers. This Special Issue will comprise research and review papers that address the many applications of mathematical modeling in health care and aim to narrow the gap between mathematics and medicine. We welcome contributions on methodological aspects of mathematical modeling; in-depth statistical applications for disease diagnosis and prognosis (including meta-analyses accompanied by a sound methodological approach); machine learning approaches for disease prediction, diagnosis, or treatment (novel approaches or accuracy assessment are welcome); and network-based medical models for the construction and analysis of biologically based complex systems. We encourage researchers to propose contributions in various medical fields and to include a section in their paper describing the practical relevance of the proposed model in medicine to raise awareness of the role of mathematics in advancing the medical research field.

Prof. Dr. Massimo Fioranelli
Prof. Maria Luisa Garo
Guest Editors

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• mathematical biology
• mathematical modelling
• biostatistics