Modelling lymphoma therapy and outcome

Bulletin of Mathematical Biology
Katja RoeschMarkus Scholz

Abstract

Dose and time intensifications of chemotherapy improved the outcome of lymphoma therapy. However, recent study results show that too intense therapies can result in inferior tumour control. We hypothesise that the immune system plays a key role in controlling residual tumour cells after treatment. More intense therapies result in a stronger depletion of immune cells allowing an early re-growth of the tumour.We propose a differential equations model of the dynamics and interactions of tumour and immune cells under chemotherapy. Major model features are an exponential tumour growth, a modulation of the production of effector cells by the presence of the tumour (immunogenicity), and mutual destruction of tumour and immune cells. Chemotherapy causes damage to both, immune and tumour cells. Growth rate, chemosensitivity, immunogenicity, and initial size of the tumour are assumed to be patient-specific, resulting in heterogeneity regarding therapy outcome. Maximum-entropy distributions of these parameters were estimated on the basis of clinical survival data. The resulting model can explain the outcome of five different chemotherapeutic regimens and corresponding hazard-ratios.We conclude that our model explains observed paradox effe...Continue Reading

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Citations

Oct 5, 2014·Journal of Pharmacokinetics and Pharmacodynamics·L G dePillisA E Radunskaya
Dec 17, 2015·Leukemia & Lymphoma·Katja RöschDirk Hasenclever
Jun 11, 2015·PloS One·Hermann B FrieboesVittorio Cristini
Nov 6, 2017·Journal of Cancer Research and Clinical Oncology·Sibylle SchirmMarkus Scholz
Mar 25, 2021·Proceedings. Biological Sciences·Gregory J KimmelPhilipp M Altrock
Jul 16, 2019·Mathematical Biosciences·Nicolas Houy, François Le Grand

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