Robotics and Geometric Mechanics Approach to Structural Biology

The voluminous application area of Dynamics and Control as well as Systems Biology, is an upcoming and challenging research area assiduously followed by control research community. This book focuses on Protein structure prediction, Missing loop problem and Optimal alignment of two protein structures. The Missing loop problem is treated by Robotics based Inverse Kinematics (IK) method to generate the possible candidates¿ ensemble for protein loop completion. Then structure prediction of proteins (namely 1YRF and 1VII) is achieved by differential geometric approach and Frenet-Quaternion frame compared with the results by nonlinear Schrödinger equation; considering the structural similarity between a protein chain and a robotic arm. The results clearly show the location of inflection points that distinctly determine helix-loop-helix structure of the protein under study. Also, Quaternion based optimal alignment of two protein structures is performed and compared with the results by Kabsch method.