Comparing T cell receptor repertoires using optimal transport
Fig 2
An illustration of our optimal transport formulation of TCR repertoire comparison.
(A) A schematic of two TCR repertoires and
residing in an abstract space defined by TCRdist. The circle adjacent to each TCR displays its clonotype abundance. TCRdist values are shown (in green) from
to each of the TCRs in
, although a TCRdist value is defined between each pair. (B) The mathematical objects that describe the setup illustrated in (A). Here,
is the matrix of pairwise TCRdist values,
is a vector of distribution mass values for each TCR in
,
is a vector of distribution mass values for each TCR in R2, and P* is the optimal transport matrix.