Abstract: Rationally designed antibodies and polypeptides that comprise multiple Fc region amino acid substitutions that synergistically provide enhanced selectivity and binding affinity to a target Fc receptor are provided. The polypeptides are mutated at multiple positions to make them more effective when incorporated in antibody therapeutics than those having wild-type Fc components.

Abstract: Provided is a method of quantitatively determining the ability of individual IgG heavy chains to selectively pair with a particular IgG light chain when the heavy chains and two unique light chains are co-expressed. The method provides results with reasonable throughput and is robust and accurate. The co-expressed heavy and light chains do not need to be isolated and purified which enables more efficient screening.

Abstract: Systems and methods for two-dimensional visualization of a molecule, comprising the set of particles {p1, . . . , pN}, are provided. A set of N three-dimensional coordinates {x1, . . . , xN} is obtained, each xi in {x1, . . . , xN} describing a three-dimensional position for a corresponding particle pi in {p1, . . . , pN}. A cost function containing the error in a set of two-dimensional coordinates (c1, . . . , cN), where each Ci in (c1, . . . , cN) corresponds to a three-dimensional coordinate xi in {x1, . . . , xN}, is minimized until an exit condition is achieved. The minimization alters the values of (c1, . . . , cN). A set of physical properties SM is obtained, each Si,j in SM representing a physical property shared by a pair of particles (pi, pj) in {p1, . . . , pN}. Coordinates (c1, . . . , cN) are plotted as nodes of a two-dimensional graph after minimization. A plurality of edges for the graph is plotted.

Abstract: The invention provides a method of determining changes in a first set of residues r1 due to changes in a second set of residues r2 in a protein system comprising one or more proteins comprising n and r2. In exemplary embodiments, the method comprises optimizing a quality function Q by modifying one or more properties of r1 and r2 in a constrained environment in which all degrees of freedom of the system except those directly involved in the potential coupling between r1 and r2 are removed.

Abstract: The invention provides a computer implemented method of quantifying the quality of packing for a residue comprising one or more residue atoms in a first protein in a first conformation, the method comprising: (a) calculating one or more close contact potentials based on a distance between the one or more residue atoms and one or more environment atoms, (b) calculating a contact area of the one or more residue atoms that is exposed to the one or more environment atoms and (c) calculating a close contact surface density (CCSD) by dividing the sum of the one or more close contact potentials by the contact area.

Abstract: Rationally designed antibodies and polypeptides that comprise two Fc region amino acid substitutions that synergistically provide enhanced selectivity and binding affinity to a target Fc receptor are provided. The polypeptides comprise Fc region mutations at two positions that synergistically make the polypeptides more effective when incorporated in antibody therapeutics than those having wild-type Fc components.

Abstract: Rationally designed antibodies and polypeptides that comprise multiple Fc region amino acid substitutions that synergistically provide enhanced selectivity and binding affinity to a target Fc receptor are provided. The polypeptides are mutated at multiple positions to make them more effective when incorporated in antibody therapeutics than those having wild-type Fc components.

Abstract: The invention provides a method of sampling conformation space for an interacting pair comprising (a) an approaching body characterized by an approaching body quaternion and (b) a central body characterized by a central body quaternion, wherein the interacting pair is characterized by an energy and a center of mass vector, the method comprising: (i) performing a first minimization of the energy by varying the approaching body quaternion through off-lattice transformations and then, sequentially, (ii) performing a first translation of the approaching body toward the central body along the center of mass vector, wherein the translation consists of an on-lattice transformation.