This two-week course provides a thorough introduction to mathematical modeling of infectious diseases for students and professionals in science, medicine and public health.
A Masters or BSc degree is required. Basic knowledge of algebra (matrices), calculus (derivatives) and probabilities is recommended. Notes covering these topics at the level needed for the class are avaliable for download : square matrices (PDF - 75 KB), derivatives (PDF - 90 KB).
Furthermore some knowledge in R will be helpful. If needed Institut Pasteur proposes an introductory course in R software.
Lectures alternate with modeling case studies from the scientific literature and computing exercises. Special attention is devoted to developing compartmental models within either a deterministic or stochastic framework. The class also covers models of disease transmission networks based on homogeneous branching processes. More sophisticated models of transmission networks embedded within complex networks of social contacts are discussed as well. Uncertainty and sensitivity analyses of modeling output are explained and illustrated. The notion of the basic reproduction ratio R0 is introduced for models of various types. Methods to calculate R0 from epidemiological data and the impact of control measures on R0 are discussed.
Unité de recherche et d'expertise Epidémiologie des maladies infectieuses
Unité de modélisation mathématique des maladies infectieuses
S. Cauchemez (Institut Pasteur)
M. Lucas-Hourani (Institut Pasteur),
S. Malot (Institut Pasteur),
V. Ponticelli (Institut Pasteur),
M. Sala (Institut Pasteur),
L. Temime (Institut Pasteur),
H. Waxin (Institut Pasteur).