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UC Riverside Undergraduate Research Journal

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Computational Prediction of Association Free Energies for the C3d-CR2 Complex and Comparison to Experimental Data<br />

Alexander S. Cheung<br />

Introduction<br />

The immune system of higher vertebrates is made<br />

up of both innate and adaptive immunity [1]. The innate<br />

immune system functions primarily through the activity of<br />

leukocytes that indiscriminately work to rid the body of<br />

any foreign pathogenic substances. Activated by the innate<br />

immune system, the adaptive immune system is principally<br />

made up of memory B and T cells. These cells not only<br />

combat pathogenic threats, but also have the ability to<br />

remember specific pathogens and thus mobilize more<br />

rapidly and launch stronger attacks against the pathogen<br />

each time it is again encountered. By efficiently working<br />

together in concert, the innate and adaptive immune<br />

systems protect the body against disease.<br />

The complement system is a key component of<br />

innate immunity but also serves as a link between innate<br />

and adaptive immunities [2]. The complement system<br />

is activated through a complex cascade of catalytic<br />

reactions which involve cleavage of complement proteins<br />

into fragments and formation of protein complexes. The<br />

association of the d-fragment of complement component<br />

C3 (C3d), a globular serum protein, with complement<br />

receptor 2 (CR2), a modular B or T cell surface receptor,<br />

is a crucial link between the innate and adaptive immune<br />

systems. CR2 consists of 15 modules, called complement<br />

control protein (CCP) modules, of which only the first two<br />

modules, CCP1 and CCP2, are known to interact with C3d<br />

([3] and references therein). In this paper we investigate<br />

the interaction between C3d and the first two modules of<br />

CR2, herein referred to as CR2.<br />

There are numerous studies in literature that implicate<br />

charge and electrostatics as having a role in the interaction<br />

between C3d and CR2 [3-10]. It has been established that<br />

electrostatics are essential for many biological functions,<br />

including protein-ligand interactions [3-5], protein stability<br />

[4,11], catalysis [12], conformational transitions [13], and<br />

protein ionization [3-5,11-14]. In previous studies, the<br />

Morikis group has proposed that electrostatics drive C3d-<br />

CR2 recognition [3-5] and used the ionization properties<br />

of C3d and CR2 to demonstrate a correlation between<br />

ionization free energy differences, and association data<br />

from experimental mutagenesis studies [5]. Based on these<br />

studies, a two-step model for association was proposed,<br />

with the first step being recognition, and the second,<br />

binding [3-5,14]. According to this model, recognition<br />

is driven solely by long-range electrostatic interactions<br />

whereas binding involves long- and short/medium-range<br />

electrostatic interactions (including hydrogen bonds, salt<br />

bridges, and van der Waals forces) as well as short-range<br />

hydrophobic interactions and entropic effects. Recognition<br />

is responsible for the formation of a weak, nonspecific<br />

encounter complex, whereas binding is responsible for<br />

the formation of a strong and specific final complex.<br />

Conventional thinking dictates that only mutations at the<br />

binding interface should affect binding abilities. However,<br />

the study by Zhang et al [5] demonstrated that mutations<br />

remote from the association interface can also affect binding<br />

abilities (evaluated as ionization free energy differences),<br />

explaining controversial experimental data that previously<br />

seemed contradictory. This effect of distant mutations on<br />

association is possible only if recognition, as an initial step<br />

in association, involves electrostatic attraction between<br />

protein macrodipoles to form the encounter complex.<br />

Thus, the results of the study performed by Zhang et al [5]<br />

validated the two-step model for C3d-CR2 association.<br />

The goals of our study are to examine whether<br />

similar correlations exist between electrostatic free energies<br />

of association and relative binding ability as well as to<br />

evaluate the effect of solvation on the electrostatic free<br />

energies of association and examine whether correlations<br />

exist between solvation free energy differences and relative<br />

binding ability. We analyzed the effect of the same C3d<br />

and CR2 mutations as in the study by Zhang et al [5] on<br />

C3d-CR2 association. These are mutations for which there<br />

are published experimental data for C3d [9] and CR2 [6].<br />

Figure 1. Molecular representation of C3d-CR2 demonstrating the<br />

topology of the mutated amino acids. Basic and acidic amino acids<br />

are shown in blue and red, respectively. Glu116 was used as the<br />

contact amino acid in association interface and is colored in green.<br />

14 <strong>UC</strong>R Un d e r g r a d u a t e Re s e a r c h Jo u r n a l

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