Mathematical modelling of toxicity associated with intracellular chromium reduction

Chromium is a known allergen and carcinogen, but the mechanisms by which damage is caused are not clearly understood. Based on experimental literature, we devise a conceptual model examining the intracellular reduction of chromium through reductants such as glutathione and ascorbic acid. From this, we build a mathematical model describing these events in detail and we use this to clarify the key steps in the process of chromium reduction within cells.In particular, we consider the free radicals which are generated as a result of chromium reduction and that are likely to cause most harm to the cell. To explore the practical implications of the model predication, we investigate what the effects of a single eight hours of exposure and multiple eight hour exposures over the course of 3 days with increasing extracellular chromium concentration are. The dependence on initial chromium concentration is of particular significance with the proportions of the various chromium states changing as well as free radical generation increasing with greater chromium exposure.