Continuum dynamics of a peptide chain

Conservative spatial chaos of buckled elastic linkages

“…[27][28][29][30][31] Also, to give account of the conformation of biopolymers, similar continuous models have been applied. [32][33][34][35] These continuous models are often referred to as wormlike chains. 32,34,35 In other cases, discrete linkages are used to incorporate the discrete property of the molecules.…”

Challenges for tensile stresses

“…The excitations along those helices are modelled using the soliton concept; for example, the so-called Davydov solitons are thought to be responsible for transferring energy along the bonded spines of a helix [ 16 ]. While this model is effectively one-dimensional and corresponds to an intuitive understanding of a string or a helix, then peptide chains in general terms are at least two-dimensional [ 17 ]. Actually the theory described in [ 17 ] is a remarkable example how ideas of continuum mechanics are able to describe complicated biological structures, here -the propagation of waves along chains of molecules.…”

Model for crankshaft motion of protein backbone in nonspecific binding site of serine proteases

“…therein). There are several analytical models treating mechanics of peptide chain backbone [36], [37], [38], [39]. The most interesting type of motion for our context is the so the so called "crankshaft-like" one.…”