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&Bentkowski P, Radwan J. 2020 Mating preferences can drive expansion or contraction of major
histocompatibility complex gene family. Proc. R. Soc. B 20192706. http://dx.doi.org/10.1098/rspb.2019.2706
Mating preferences can drive expansion or contraction of MHC gene family
Piotr Bentkowski, Jacek Radwan
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Table 1: Mating preference rules tested in simulations. Scenarios
marked with the asterisk are only presented in the supplementary
materials. The intrinsic cost of expressing too many MHC variants
were modelled as explained in SM1 (eq.2 p.3 in SM1).
Abbrev. Brief description
Number of
mates to chose
from
MinShared
Preference for mates with the
smallest number of identical
MHC variants
10
PropShared
Preference for mates with
minimal proportion of shared
identical MHC variants within the
sum of variants in both partners
10
Random No preference, random matching
of mates N/A
MaxDiffer
Preference for mates with the
largest number of MHC variants
different from the chooser
10
MinSharedUnc*
Preference for mates with the
smallest number of identical
MHC variants
10
PropSharedUnc*
Preference for mates minimising
proportion of identical MHC
variants among the sum of
variants in both partners
10
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Table 2: Parameters of the model. 1 total number of pathogen
individuals was equal to Np· S; 2 probability per reproduction event;
3 probability per site (flip of a single bit); 4 probability of change of
the whole MHC (change in any given site); 5 used not in all
scenarios.
Parameter description Symbol Values
Hosts population size (number of individuals) NH1000
Pathogen population size of a species (number of
individuals) 1NP1000
Number of pathogen species in the simulation S4, 8, 16
Antigen length (number of bits) a6000
MHC’s antigen-binding region length (number of bits) m16
Number of pathogens generation per one hosts
generation K10
Total number of hosts generation (a.k.a. simulation
time) G5000
Probability of mutation in antigen (per site) 2,3 μA
10-5 ,
5 · 10-5
Probability of mutation in MHC PBR (per protein) 2,4 μMHC 10-4
Probability of deletion of MHC gene 2μdel 10-3
Probability of duplication of MHC gene 2μdupl 10-3
Cost factor for the host selection function 5α0.02
Number of random partners to select from in sexual
selection P10
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