Wu Yunzhen, Zhang Yuxia, Wang Peng, Wang Zaiguo, Ren Guoliang, Wang Chunting
Department of Critical Care Medicine, Dongying People's Hospital, Dongying 257091, Shandong, China.
Department of Critical Care Medicine, Shandong University Affiliated Provincial Hospital, Jinan 250021, Shandong, China.
Zhonghua Wei Zhong Bing Ji Jiu Yi Xue. 2019 Jun;31(6):725-730. doi: 10.3760/cma.j.issn.2095-4352.2019.06.013.
To design a mathematical calculation model for better understanding and grasping the logical problem of replacement fluid and citric acid anticoagulant infusion in continuous veno-venous hemofiltration (CVVH).
(1) Parameter definition: A, B, and T were respectively called the main part of pre-replacement fluid, 5% sodium bicarbonate solution, and 4% sodium citrate infused before filter. And a and b were respectively called the main part of post-replacement fluid, and 5% sodium bicarbonate solution infused after filter. (2) Logic conversion: The liquid in back terminal (Z) was artificially divided into two parts. One (X) was the original residual plasma after filtration. The second (Y) was the part excluding the plasma, including the left part of pre-replacement fluid with sodium citrate, and the post-replacement fluid. (3) The mathematical formulas of liquid volume and electrolyte concentration at X, Y and Z in unit time were listed according to the principle of CVVH and the screening coefficient of filter for different substances. (4) The calculation formulas were entered into Excel form, and a mathematical calculation model was made, and a simulation calculation with examples was carried out.
An Excel model was established by inserting the calculation formulas of volume, electrolyte, and total calcium at X, Y and Z. And it was found that the concentration of Na, K, Cl, HCO at Y point remained unchanged only when A, B and (or) a, b was kept in same side and proportion even with the change of blood flow and other parameters without sodium citrate as anticoagulant. Once any of the parameters (such as blood flow, replacement fluid volume, etc.) were adjusted in other infusion methods (such as different ratios, different directions of the same year, etc.), the calculation results at Y would vary, and the electrolyte concentration at Z would change accordingly. A change of dilution model or parameter would result in the change of the electrolyte concentration at Y and Z with sodium citrate as anticoagulant. The concentration of total calcium scarcely changed no matter in what model and parameters.
All kinds of infusion ways could be included in the Excel model. The infusion results of all kinds of infusion matching could be intuitively evaluated. It is helpful for the medical staff to make a logical analysis and risk prediction in CVVH.
设计一种数学计算模型,以更好地理解和掌握连续性静脉-静脉血液滤过(CVVH)中置换液和枸橼酸抗凝剂输注的逻辑问题。
(1)参数定义:A、B和T分别称为滤器前预置换液、5%碳酸氢钠溶液和4%枸橼酸钠的主要部分。a和b分别称为滤器后置换液和5%碳酸氢钠溶液的主要部分。(2)逻辑转换:将回血端(Z)的液体人为分为两部分。一部分(X)是过滤后的原始残余血浆。另一部分(Y)是除去血浆的部分,包括含枸橼酸钠的预置换液的剩余部分和置换后液。(3)根据CVVH原理和滤器对不同物质的筛选系数,列出单位时间内X、Y和Z处液体量和电解质浓度的数学公式。(4)将计算公式录入Excel表格,建立数学计算模型,并进行实例模拟计算。
通过插入X、Y和Z处的体积、电解质和总钙的计算公式,建立了Excel模型。发现当无枸橼酸钠作为抗凝剂时,即使血流等参数改变,只要A、B和(或)a、b保持在同一侧且比例相同,Y点的Na、K、Cl、HCO浓度保持不变。在其他输注方式(如不同比例、同年不同方向等)中,一旦调整任何参数(如血流、置换液量等),Y处的计算结果将发生变化,Z处的电解质浓度也将相应改变。以枸橼酸钠作为抗凝剂时,稀释模型或参数的改变会导致Y和Z处的电解质浓度发生变化。无论在何种模型和参数下,总钙浓度几乎不变。
Excel模型可纳入各种输注方式。可直观评估各种输注匹配的输注结果。有助于医护人员在CVVH中进行逻辑分析和风险预测。