T lymphoblastic lymphoma (T-LBL) is a rare type of lymphoma with a good prognosis with a remission rate of 85%. Patients can be completely cured or can relapse during or after a 2-year treatment. Relapses usually occur early after the remission of the acute phase. The median time of relapse is equal to 1 year, after the occurrence of complete remission (range 0.2-5.9 years) (Uyttebroeck et al., 2008). It can be assumed that patients may be treated longer than necessary with undue toxicity.The aim of our model was to investigate whether the duration of the maintenance therapy could be reduced without increasing the risk of relapses and to determine the minimum treatment duration that could be tested in a future clinical trial.We developed a mathematical model of virtual patients with T-LBL in order to obtain a proportion of virtual relapses close to the one observed in the real population of patients from the EuroLB database. Our simulations reproduced a 2-year follow-up required to study the onset of the disease, the treatment of the acute phase and the maintenance treatment phase.

中文翻译：

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T 细胞淋巴母细胞淋巴瘤的数学模型：虚拟患者队列的疾病、治疗、治愈或复发。

T淋巴细胞淋巴瘤（T-LBL）是一种罕见的淋巴瘤，预后良好，缓解率为85%。患者可以在 2 年的治疗期间或之后完全治愈或复发。复发通常发生在急性期缓解后的早期。在完全缓解（范围 0.2-5.9 年）发生后，中位复发时间等于 1 年（Uyttebroeck 等，2008）。可以假设患者接受的治疗时间可能比必要的时间长，且毒性过度。我们模型的目的是研究是否可以在不增加复发风险的情况下缩短维持治疗的持续时间，并确定可能的最短治疗持续时间。在未来的临床试验中进行测试。我们开发了一个 T-LBL 虚拟患者的数学模型，以便从 EuroLB 数据库中获得接近真实患者群体中观察到的虚拟复发比例。我们的模拟再现了研究疾病发作、急性期治疗和维持治疗期所需的 2 年随访。