Bartoli E, Bergamasco L, Castello L, Sainaghi P P
Dipartimento di Medicina Clinica e Sperimentale, Università degli Studi del Piemonte Orientale A. Avogadro, Novara, Italy.
Nutr Metab Cardiovasc Dis. 2009 Jan;19(1):67-74. doi: 10.1016/j.numecd.2008.10.005. Epub 2008 Dec 20.
While empirical calculations are presently used, exact solutions to compute volume and solute changes of hyperosmolar coma (HC) can be obtained by subdividing the patients according to well defined clinical and laboratory conditions. These are represented by PNa(G), the plasma Na concentration that would be present if there were only glucose addition (GA), that discloses prevalent Na depletion when >PNa(1), prevalent water deficit when <PNa(1) (value measured during HC). Exact solutions are available when Na is lost as NaCl, and when patients are subdivided according to Posm(1) (plasma osmolality during HC) >, = or <Posm(0) (the normal value). When Posm(1)=Posm(0), GA must equal the loss of ions induced by the osmotic diuresis (2 x DeltaNa), and the math solution is exact. We herein report data validating these new computational methods.
We built a mathematical model describing fluid derangements used to execute computer-simulated experiments of HC. The derangements were generated on the computer by adding, to the extra-cellular volume, different amounts of glucose while subtracting variable combinations of ions and solvent. The model yielded true solute concentrations from which our formulas computed the amounts lost or gained. These were identical to the true changes introduced to simulate the derangements (R(2)=1.00, P<0.0001) when the boundary conditions for PNa(G), exclusive NaCl loss and Posm(1)-Posm(0) were met. In patients with HC in whom these same boundary conditions were satisfied, the computations of glucose and Na changes with our new formulas were not significantly different from those estimated after correction of the derangements, considered true values (R(2)=0.60, P<0.05), and showed a satisfactory agreement with the clinical evaluation.
Our new methods are more accurate than the traditional ones, as they reach a better quantitative assessment of the entity of the derangements, avoiding iatrogenic dysnatraemias after correction of HC.
虽然目前使用的是经验计算方法,但通过根据明确的临床和实验室条件对患者进行细分,可以获得计算高渗性昏迷(HC)体积和溶质变化的精确解。这些条件由PNa(G)表示,即仅添加葡萄糖(GA)时的血浆钠浓度,当>PNa(1)时表明存在普遍的钠缺乏,当<PNa(1)(HC期间测量值)时表明存在普遍的水缺乏。当钠以氯化钠形式丢失,且根据Posm(1)(HC期间的血浆渗透压)>、=或<Posm(0)(正常值)对患者进行细分时,可获得精确解。当Posm(1)=Posm(0)时,GA必须等于渗透性利尿诱导的离子丢失量(2×ΔNa),且数学解是精确的。我们在此报告验证这些新计算方法的数据。
我们构建了一个描述液体紊乱的数学模型,用于执行HC的计算机模拟实验。通过向细胞外液中添加不同量的葡萄糖,同时减去离子和溶剂的可变组合,在计算机上生成这些紊乱情况。该模型产生真实的溶质浓度,我们的公式据此计算丢失或获得的量。当满足PNa(G)、仅氯化钠丢失和Posm(1)-Posm(0)的边界条件时,这些计算值与为模拟紊乱情况而引入的真实变化相同(R²=1.00,P<0.0001)。在满足这些相同边界条件的HC患者中,使用我们的新公式计算的葡萄糖和钠变化与校正紊乱情况后估计的变化(视为真实值)无显著差异(R²=0.60,P<0.05),并且与临床评估显示出令人满意的一致性。
我们的新方法比传统方法更准确,因为它们能更好地对紊乱情况进行定量评估,避免在HC校正后出现医源性低钠血症。