Boehringer Ingelheim RCV GmbH & Co KG, Dr. Boehringer-Gasse 5-11, 1121, Vienna, Austria.
Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstraße 36, 8010, Graz, Austria.
Bull Math Biol. 2023 Aug 6;85(9):82. doi: 10.1007/s11538-023-01188-7.
Fatty acids (FAs) are crucial energy metabolites, signalling molecules, and membrane building blocks for a wide range of organisms. Adipose triglyceride lipase (ATGL) is the first and presumingly most crucial regulator of FA release from triacylglycerols (TGs) stored within cytosolic lipid droplets. However, besides the function of releasing FAs by hydrolysing TGs into diacylglycerols (DGs), ATGL also promotes the transacylation reaction of two DG molecules into one TG and one monoacylglycerol molecule. To date, it is unknown whether DG transacylation is a coincidental byproduct of ATGL-mediated lipolysis or whether it is physiologically relevant. Experimental evidence is scarce since both, hydrolysis and transacylation, rely on the same active site of ATGL and always occur in parallel in an ensemble of molecules. This paper illustrates the potential roles of transacylation. It shows that, depending on the kinetic parameters but also on the state of the hydrolytic machinery, transacylation can increase or decrease downstream products up to 80% respectively 30%. We provide an extensive asymptotic analysis including quasi-steady-state approximations (QSSA) with higher order correction terms and provide numerical simulation. We also argue that when assessing the validity of QSSAs one should include parameter sensitivity derivatives. Our results suggest that the transacylation function of ATGL is of biological relevance by providing feedback options and altogether stability to the lipolytic machinery in adipocytes.
脂肪酸(FAs)是各种生物体至关重要的能量代谢物、信号分子和膜结构单元。脂肪甘油三酯脂肪酶(ATGL)是从细胞溶质脂滴中储存的三酰基甘油(TGs)中释放 FA 的第一个也是假定的最关键调节剂。然而,除了通过将 TGs 水解成二酰基甘油(DG)来释放 FAs 的功能外,ATGL 还促进两个 DG 分子转化为一个 TG 和一个单酰基甘油分子的转酰基反应。迄今为止,尚不清楚 DG 转酰基反应是 ATGL 介导的脂解的偶然副产物还是具有生理相关性。由于水解和转酰基反应都依赖于 ATGL 的相同活性位点,并且总是在分子集合中平行发生,因此实验证据很少。本文说明了转酰基反应的潜在作用。它表明,取决于动力学参数,以及水解机制的状态,转酰基反应可以分别将下游产物增加或减少多达 80%或 30%。我们提供了广泛的渐近分析,包括具有高阶校正项的准稳态近似(QSSA),并进行了数值模拟。我们还认为,在评估 QSSA 的有效性时,应该包括参数敏感性导数。我们的结果表明,ATGL 的转酰基反应功能通过为脂肪细胞中的脂解机制提供反馈选项和整体稳定性而具有生物学相关性。