An integro-partial differential equation for modeling biofluids flow in fractured biomaterials.

Sadegh Zadeh K

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An integro-partial differential equation for modeling biofluids flow in fractured biomaterials.

机译：积分-偏微分方程，用于模拟断裂的生物材料中的生物流体流动。

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A novel mathematical model in the framework of a nonlinear integro-partial differential equation governing biofluids flow in fractured biomaterials is proposed, solved, verified, and evaluated. A semi-analytical solution is derived for the equation, verified by a mass-lumped Galerkin finite element method (FEM), and calibrated with two in vitro experimental datasets. The solution process uses separation of variables and results in explicit expression involving complete and incomplete beta functions. The proposed semi-analytical model shows reasonable agreements with the finite element simulator as well as with two in vitro experimental time series and can be successfully used to simulate biofluids (e.g. water, blood, oil, etc.) flow in natural and synthetic porous biomaterials.

机译：提出，求解，验证和评估了在非线性积分偏微分方程框架内控制断裂生物材料中生物流体流动的新型数学模型。为该方程式导出了半解析解，并通过质量集总Galerkin有限元方法（FEM）进行了验证，并使用两个体外实验数据集进行了校准。解决过程使用变量分离，并导致涉及完整和不完整Beta函数的显式表达式。所提出的半分析模型与有限元模拟器以及两个体外实验时间序列显示出合理的协议，并且可以成功地用于模拟天然和合成多孔生物材料中的生物流体（例如水，血液，油等）流动。。

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《Journal of Theoretical Biology》 |2011年第1期|共8页
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Sadegh Zadeh K;
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正文语种 eng
中图分类普通生物学;
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An integro-partial differential equation for modeling biofluids flow in fractured biomaterials.

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