A preliminary study on metabolism modelling with capillary

Substances transport and metabolism are essential for the maintenance of life. Some compartment models were proposed to describe the substances transport and metabolism in human body. However, they neglected the functions of capillary and could not show the effects of circulatory system. Capillary plays an important role in substances transport. In this paper, a novel mathematical model is presented for substances transport and metabolism. This model consists of two parts: one is substances transporting through capillary by Fick's conservation law; the other one uses a compartment model to describe the metabolism in tissue. This model is proved to be successful by numerical experimentation for brain.