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Monotonicity functional for a transient mathematical model of oxygen depletion during Photodynamic therapy

机译:单调性函数用于光动力治疗过程中耗氧的瞬态数学模型

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Accurate and computationally inexpensive energy density functional are highly desirable in the simulation of biochemical systems. A molecular "energy" integral functional for the reaction diffusion equation of the triplet oxygen [3O2] in the pseudo state equilibrium during treatment with Photodynamic therapy (PDT) is defined, and its monotonicity is analyzed. When the functional is evaluated on the solution of an existing mathematical model of a spheroid that represents the real physical system of a cell during PDT treatment, it gives a time dependent monotonically decreasing expression energy.
机译:在生化系统的模拟中,非常需要精确且计算便宜的能量密度函数。定义了在光动力疗法(PDT)治疗过程中三态氧[ 3 O 2 ]在伪状态平衡下的反应扩散方程的分子“能量”积分函数,并分析其单调性。当在表示PDT处理期间细胞的实际物理系统的球体的现有数学模型的解决方案上评估功能时,它将给出与时间相关的单调递减的表达能量。

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