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, 2012 [18]; Geoghegan et al., 2007 [57]).Here we describe the principles of protein surgery and its application to the molecular design for regulating the protein conformation. We initially describe the Poincare duality that defines the basis of complementarity in the time-dependent geometrical space. Next we introduce the theory of protein surgery consisting of "dissection" and "suture," which correspond to differentiation and integration in a phase space, respectively. Then we introduce the surgical (pan-manifold) differential equation and solve several
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