Derives formulas for mean and variance of clone richness and overlap using a general probabilistic model of T/B cell receptor abundances, with explicit expressions for truncated power-law cases and validation on simulated TCR data.
Bulletin of Mathematical Biology 81, 2783–2817 (2019)
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Mathematical Characterization of Private and Public Immune Repertoire Sequences
Derives formulas for mean and variance of clone richness and overlap using a general probabilistic model of T/B cell receptor abundances, with explicit expressions for truncated power-law cases and validation on simulated TCR data.