de Boer R J
Utrecht University, The Netherlands.
Neth J Med. 2002 Aug;60(7 Suppl):17-26; discussion 26.
We review how mathematical models help the interpretation of data measuring CD4+ T-cell kinetics by two recently-developed techniques. Mathematical models are developed for the average content of T-cell receptor excision circles (TRECs) and the average telomeric restriction fragment (TRF) in T-cells in the peripheral blood. Changes in the TRECs were supposed to indicate changes in thymic production. The rate at which naive and memory CD4+ T-cells erode their telomeres was supposed to reflect their respective division rates. Analysing the mathematical models, we show that rapid changes in the TRECs per naive T-cell are most likely due to changes in the division rates, and that the rates of telomere erosion fail to reflect naive and memory division rates. The model is applied to explain data showing that rheumatoid arthritis (RA) patients have abnormal TRECs and telomeres.
我们回顾了数学模型如何通过两种最新开发的技术来帮助解释测量CD4 + T细胞动力学的数据。针对外周血T细胞中T细胞受体切除环（TREC）的平均含量和平均端粒限制片段（TRF）建立了数学模型。TREC的变化被认为表明胸腺生成的变化。幼稚和记忆CD4 + T细胞端粒侵蚀的速率被认为反映了它们各自的分裂速率。通过分析数学模型，我们发现每个幼稚T细胞中TREC的快速变化最有可能是由于分裂速率的变化，并且端粒侵蚀速率未能反映幼稚和记忆细胞的分裂速率。该模型用于解释显示类风湿性关节炎（RA）患者具有异常TREC和端粒的数据。
