Model of lymphoma from stochastic analysis

Area of Science:

• Immunology
• Mathematical Biology
• Cancer Research

Background:

• T cell clonotypes, including normal and tumorous types, compete for survival stimuli.
• The thymus contributes naive T cells, including descendants of mutated precursor cells, to the tumorous clonotype.

Purpose of the Study:

• To introduce and analyze a stochastic model of lymphoma.
• To investigate the competitive dynamics between normal and tumorous T cell clonotypes.
• To explore scenarios of T cell repertoire stability and extinction.

Main Methods:

• Development of a stochastic model for T cell competition.
• Derivation of a deterministic approximation to the stochastic model.
• Analysis of eight distinct competition scenarios between normal and tumorous T cell clonotypes.

Main Results:

• Two primary outcomes were identified: co-existence of both clonotypes or extinction of the normal T cell clonotype.
• Tumorous T cells can be maintained at a maximum growth level if normal cells go extinct.
• Augmented influx of tumorous T cells from the thymus prevents their removal from the repertoire.

Conclusions:

• Tumor T cell persistence is influenced by thymus-derived influx and competition dynamics.
• Normal T cell extinction is possible if they lack sufficient specialization to compete for survival stimuli.
• The model provides insights into T cell repertoire regulation and the mechanisms of tumor establishment.