In this paper a new mathematical model is developed for the dynamics between tumor cells, normal cells, immune cells, chemotherapy drug concentration and drug toxicity. Then, the theorem of Lyapunov stability is applied to design treatment strategies for drug protocols that ensure a desired rate of tumor cell kill and push the system to the area with smaller tumor cells. Using of this theorem a...

The liver is the largest internal organ in the human body that is responsible for more than 500 vital functions, including biosynthesis of major plasma proteins, immunity against infectious pathogens, balancing energy metabolism and xenobiotics biotransformation (1). One of the main functions of the liver is an important role in drug metabolism (2). Since developing new drug compounds into mark...

Sofosbuvir is an antiviral drug that entirely revolutionized the treatment of hepatitis C. This drug has an Iranian commercial brand, which is known as Ledibiox. Several adverse events have been reported with this drug, including syncope, pancolitis, and exacerbated pulmonary arterial hypertension; however, arrhythmia rarely has been described through the literature. Here, we report a 40-year-o...

This paper proposes a method for studying the toxicity of an anticancer drug with a delayed effect. The goal is to predict a dosage regimen with controlled toxicity. To this end, a semi-physiological model is used. A limit of toxicity is demonstrated, which is intrinsic to the model. It reduces the effect of high drug concentrations. This limit explains the mixed behaviour of the drug: time-dep...