Department of Mathematics and Computer Science, Meredith College, Raleigh, NC, USA.
Bull Math Biol. 2010 Apr;72(3):507-40. doi: 10.1007/s11538-009-9459-x. Epub 2009 Dec 30.
Benzene is a highly flammable, colorless liquid. Ubiquitous exposures result from its presence in gasoline vapors, cigarette smoke, and industrial processes. After uptake into the body, benzene undergoes a series of metabolic transformations to multiple metabolites that exert toxic effects on the bone marrow. We developed a physiologically based pharmacokinetic model for the uptake and elimination of benzene in mice to relate the concentration of inhaled and orally administered benzene to the tissue doses of benzene and its key metabolites. This model takes into account the zonal distribution of enzymes and metabolism in the liver rather than treating the liver as one homogeneous compartment, and considers metabolism in tissues other than the liver. Analysis was done to examine the existence and uniqueness of solutions of the system. We then formulated an inverse problem to obtain estimates for the unknown parameters; data from multiple laboratories and experiments were used. Despite the sources of variability, the model simulations matched the data reasonably well in most cases. Our study shows that the multicompartment metabolism model does improve predictions over the previous model (Cole et al. in J. Toxicol. Environ. Health, 439-465, 2001) and that in vitro metabolic constants can be successfully extrapolated to predict in vivo data for benzene metabolism and dosimetry.
苯是一种高度易燃、无色的液体。由于其存在于汽油蒸气、香烟烟雾和工业过程中,因此普遍存在于环境中。苯被人体吸收后,会经历一系列代谢转化,生成多种代谢物,这些代谢物会对骨髓产生毒性作用。我们开发了一种苯在小鼠体内摄取和消除的生理基于药代动力学模型,以将吸入和口服给予的苯的浓度与苯及其关键代谢物的组织剂量联系起来。该模型考虑了肝脏中酶和代谢的分区分布,而不是将肝脏视为一个均匀的隔室,并考虑了除肝脏以外的组织中的代谢。分析了系统解的存在性和唯一性。然后,我们提出了一个反问题来获得未知参数的估计值;使用了来自多个实验室和实验的数据。尽管存在变异性的来源,但在大多数情况下,模型模拟与数据相当吻合。我们的研究表明,多隔室代谢模型确实比以前的模型(Cole 等人,J. Toxicol. Environ. Health,439-465,2001)更好地预测,并且体外代谢常数可以成功外推以预测苯代谢和剂量学的体内数据。