Mathematical Toxicology aims to develop mathematical models that can accurately describe the processes involved in toxicity and to use these models to predict the effects of toxic substances on living organisms.

Mathematical Toxicology uses a variety of mathematical methods, including differential equations, partial differential equations, integral equations, and numerical methods, to model the complex processes involved in toxicity.

Mathematical Toxicology has a wide range of applications, including risk assessment of toxic substances, development of new drugs and treatments for toxicity, understanding the mechanisms of toxicity, and prediction of the effects of toxic substances on human health and the environment.

Mathematical Toxicology faces a number of challenges, including the complexity of biological systems, the lack of data on the toxicity of many substances, the difficulty in developing accurate mathematical models, and the need for validation of mathematical models.

Mathematical Toxicology is a rapidly developing field, and there are many exciting future directions for research. These include the development of more accurate and sophisticated mathematical models, the integration of Mathematical Toxicology with other disciplines, and the application of Mathematical Toxicology to new areas.