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Crystallography 2018

Structural Chemistry & Crystallography Communication

ISSN: 2470-9905

Page 67

June 04-05, 2018

London, UK

3

rd

Edition of International Conference on

Advanced Spectroscopy,

Crystallography and Applications

in Modern Chemistry

S

mall angle X-ray scattering measurements of dilute,

homogenous particles in solution are resolution limited

measurements of the thermodynamic ensemble. Similar to X-ray

crystallography and electron microscopy, SAXS observations

made at higher resolutions imply a greater detail in the structural

measurement. Here, I present a new approach to understanding

bioSAXS data using two fundamental properties of Information

Theory (namely, theShannonSamplingandNoisy-CodingChannel

theorems). These theorems allow for the error-free recovery of

the SAXS signal, in the form of a real-space, cross-validated pair-

distance, P(r), distribution function. The P(r)-distribution contains

the structural assessment of the thermodynamic ensemble. I

will show that the Information theory framework can be used to

develop structural modeling algorithms for shape determination

and docking. Specifically, I will demonstrate an adaptive

simulated-annealing, density modeling algorithm that targets

the P(r)-distribution using the Kullback-Liebler divergence, an

Information Theory difference metric. The algorithm scales

with resolution. Using a SAXS dataset of a 25 base-pair, double-

stranded DNA, the volumetric model illustrates features of the

major and minor groove as the resolution of the SAXS dataset

increases. Further tests on SAXS of the P4-P6 group I intron RNA

domain reveal the large solvent channels observed in the X-ray

crystal structure. Furthermore, I will show the Information Theory

approach can be used in antibody-antigen studies to uniquely

determine the structure of the complex in the solution state. Our

approach shows that modeling can be made more reliable by

exploiting theorems from Information Theory.

robert.rambo@diamond.ac.uk

REAL SPACE MODELING OF SOLUTION-STATE SAXS USING INFORMATION

THEORY

Robert P Rambo

Diamond Light Source, Harwell Science and Innovation Campus, UK

Struct Chem Crystallogr Commun 2018, Volume 4

DOI: 10.21767/2470-9905-C1-006