Evolution of the concentration field of an antibiotic during an injection

A complete mathematical model is presented which describes a substrate injection into a capillary and its diffusion in tissues. Numerical methods are implemented and compared, simplification is discussed and the results' behaviour is studied. A new experimental technique yields curves which are compared to the numerical solutions of the model and used for estimating diffusion and permeability coefficients. Furthermore it is proved that the physiological Krogh model is valid and can be used as a tool by physicians and biologists.