8 Later administration may limit the liver
injury, but its utility decreases with time.9 In the presence of a sufficiently large overdose, the administration of N-Ac beyond a certain time window becomes futile. In these cases, liver transplantation becomes the only life-saving measure. A number of factors may determine whether a dose of APAP is fatal. Among the most important are the size of the overdose and the time to first administration of N-Ac.8 Unfortunately, these two values are frequently not available at the time of admission to the hospital: patients often arrive confused or comatose, the family is usually unaware of the timing or the dose of drug taken, and concomitant use of other medications or KU-60019 mouse drugs often obscures the clinical picture. We therefore sought a method for rapidly determining the time of overdose, extent of injury, and likelihood of spontaneous survival using
laboratory data available at the time of admission. Our method is based on a mathematical model that describes typical hepatic injury progression, dependent only on overdose amount. Fitting patient laboratory values to our mathematical model allows for the estimation of overdose amount and timing, as well as a prediction of outcome. We tested the mathematical GDC-0980 supplier model on 53 patients from the University of Utah. ALT, alanine aminotransferase; APAP, acetaminophen; AST, aspartate aminotransferase; GSH, glutathione; INR, international normalized ratio; MALD, Model for Acetaminophen-induced Liver Damage; N-Ac, N-acetylcysteine; NAPQI, N-acetyl-p-benzoquinoneimine. Our mathematical model, the Model of Acetaminophen-induced Liver Damage (MALD), is based on a reproducible pattern of APAP-induced liver injury. The enzymes aspartate aminotransferase (AST) and alanine aminotransferase (ALT) are released by injured hepatocytes.10, 11 These enzymes peak at about SDHB 36 hours from initial injury and have distinct injury and clearance curves. AST concentration in blood is initially
approximately double that of ALT, with a clearance rate of about 50% every 24 hours. ALT peaks at about the same time as AST, but with a slower elimination rate of about 33% every 24 hours.12 These measures of damage are complemented by a measure of liver function, prothrombin time/international normalized ratio (INR). Decreased production of essential clotting factors manifests as reduced clotting and increased INR, again with characteristic rates of increase and decay.13 The values of AST, ALT, and INR at the time of admission thus encode the course of disease progression over time and can be used, with a suitable mathematical model, to estimate initial dose and time of overdose. We developed a system of nonlinear ordinary differential equations to describe the temporal dynamics of APAP-induced acute liver failure (ALF) based on known mechanisms of APAP metabolism (Supporting Information).