论文标题
一种新的脂质结构模型,以研究LDL和HDL对动脉粥样硬化斑块巨噬细胞的相反作用
A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages
论文作者
论文摘要
由于脂质积累驱动的慢性炎症反应,动脉粥样硬化斑块形成了动脉壁。炎症反应的一个关键组成部分是单核细胞衍生的巨噬细胞与细胞外脂质之间的相互作用。尽管已知血液中低密度脂蛋白(LDL)和高密度脂蛋白(HDL)颗粒的浓度会影响斑块的进展,但它们对斑块巨噬细胞脂质负荷的影响仍未得到探索。在本文中,我们开发了一个脂质结构的数学模型,以研究血液LDL/HDL水平对牙菌斑组成的影响以及斑块巨噬细胞中的脂质分布。通过求和完整模型的方程得出的简化子系统描述了与斑块组成有关的生物物理量的动力学(例如,巨噬细胞总数,细胞内脂质的总量)。我们还得出了模型的连续近似,以促进巨噬细胞脂质分布的分析。结果包括时间依赖性的数值解和对独特稳态溶液的渐近分析,表明斑块脂质含量对LDL相对于HDL容量的流入敏感。巨噬细胞脂质分布以波状的方式演变为平衡曲线,这可能是单调降低,准均匀或单峰的,在非零脂质水平下达到其最大值。我们的模型还显示,脂质积累可能会严重损害巨噬细胞的吸收。我们得出的结论是,斑块巨噬细胞中的脂质积累可能是对动脉粥样硬化斑块中经常报道的凋亡细胞(for经细胞增多)缺陷的部分解释。
Atherosclerotic plaques form in artery walls due to a chronic inflammatory response driven by lipid accumulation. A key component of the inflammatory response is the interaction between monocyte-derived macrophages and extracellular lipid. Although concentrations of low-density lipoprotein (LDL) and high-density lipoprotein (HDL) particles in the blood are known to affect plaque progression, their impact on the lipid load of plaque macrophages remains unexplored. In this paper, we develop a lipid-structured mathematical model to investigate the impact of blood LDL/HDL levels on plaque composition, and lipid distribution in plaque macrophages. A reduced subsystem, derived by summing the equations of the full model, describes the dynamics of biophysical quantities relating to plaque composition (e.g. total number of macrophages, total amount of intracellular lipid). We also derive a continuum approximation of the model to facilitate analysis of the macrophage lipid distribution. The results, which include time-dependent numerical solutions and asymptotic analysis of the unique steady state solution, indicate that plaque lipid content is sensitive to the influx of LDL relative to HDL capacity. The macrophage lipid distribution evolves in a wave-like manner towards an equilibrium profile which may be monotone decreasing, quasi-uniform or unimodal, attaining its maximum value at a non-zero lipid level. Our model also reveals that macrophage uptake may be severely impaired by lipid accumulation. We conclude that lipid accumulation in plaque macrophages may serve as a partial explanation for the defective uptake of apoptotic cells (efferocytosis) often reported in atherosclerotic plaques.