Afenya E K, Calderón C P
Department of Mathematics, Elmhurst College, IL 60126, USA.
Cancer Detect Prev. 1996;20(3):171-9.
Biomathematical models describing acute leukemia are introduced. These models are used to show some of the possible ways in which the normal cell population declines in the presence of malignant cells in acute leukemia. They also described situations in which normal cell inhibition by the malignant clone contributes to and supports leukemic development. The progression of acute leukemia is quantified both analytically and numerically by considering the steady-state and dynamic properties of the models. The studies and investigations indicate that as long as malignant cells are present in acute leukemia, normal cell growth or regrowth capabilities will be very reduced and diminished. As biomedicine becomes more quantitative, studies that involve the employment and use of various mathematical methods and techniques also become more relevant. In this regard, the models could be useful in predicting the quantitative and qualitative behavior of cell population in certain acute leukemias as the search for more effective therapeutic strategies continues.
介绍了描述急性白血病的生物数学模型。这些模型用于展示在急性白血病存在恶性细胞的情况下，正常细胞群体减少的一些可能方式。它们还描述了恶性克隆对正常细胞的抑制有助于并支持白血病发展的情况。通过考虑模型的稳态和动态特性，对急性白血病的进展进行了分析和数值量化。研究表明，只要急性白血病中存在恶性细胞，正常细胞的生长或再生能力就会大大降低。随着生物医学变得更加定量，涉及运用各种数学方法和技术的研究也变得更加相关。在这方面，随着对更有效治疗策略的探索不断进行，这些模型可能有助于预测某些急性白血病中细胞群体的定量和定性行为。
