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2017 ; 34
(8
): 2085-2100
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A Generative Angular Model of Protein Structure Evolution
#MMPMID28453724
Golden M
; García-Portugués E
; Sørensen M
; Mardia KV
; Hamelryck T
; Hein J
Mol Biol Evol
2017[Aug]; 34
(8
): 2085-2100
PMID28453724
show ga
Recently described stochastic models of protein evolution have demonstrated that
the inclusion of structural information in addition to amino acid sequences leads
to a more reliable estimation of evolutionary parameters. We present a
generative, evolutionary model of protein structure and sequence that is valid on
a local length scale. The model concerns the local dependencies between sequence
and structure evolution in a pair of homologous proteins. The evolutionary
trajectory between the two structures in the protein pair is treated as a random
walk in dihedral angle space, which is modeled using a novel angular diffusion
process on the two-dimensional torus. Coupling sequence and structure evolution
in our model allows for modeling both "smooth" conformational changes and
"catastrophic" conformational jumps, conditioned on the amino acid changes. The
model has interpretable parameters and is comparatively more realistic than
previous stochastic models, providing new insights into the relationship between
sequence and structure evolution. For example, using the trained model we were
able to identify an apparent sequence-structure evolutionary motif present in a
large number of homologous protein pairs. The generative nature of our model
enables us to evaluate its validity and its ability to simulate aspects of
protein evolution conditioned on an amino acid sequence, a related amino acid
sequence, a related structure or any combination thereof.