In the super-relaxed state of myosin, ATPase activity is strongly inhibited by binding of the myosin heads to the core of the thick filament in a structure known as the interacting-heads motif. In the disordered relaxed state myosin heads are not bound to the core of the thick filament and have an ATPase rate that is 10 fold greater. In the interacting-heads motif the two regulatory light chain...

Cutting angle method (CAM) is a deterministic global optimization technique applicable to Lipschitz functions f : Rn → R. The method builds a sequence of piecewise linear lower approximations to the objective function f . The sequence of solutions to these relaxed problems converges to the global minimum of f . This article adapts CAM to the case of linear constraints on the feasible domain. We...

We formulate a penalty method for the obstacle problem associated with a nonlinear variational principle. It is proven that the solution to the relaxed variational problem (in both the continuous and discrete settings) is exact for finite parameter values above some calculable quantity. To solve the relaxed variational problem, an accelerated forward-backward method is used, which ensures conve...

Process synthesis often involves the solution of large nonlinear discretecontinuous optimization problems, which are usually formulated as mixedinteger nonlinear programming (MINLP) or generalized disjunctive programming (GDP) problems and solved with MINLP solvers. This paper presents an efficient solution method for these problems named successive relaxed MINLP (SR-MINLP), where the model for...

A polynomial approach to solve the optimal control problem of switched systems is presented. It is shown that the representation of the original switched problem into a continuous polynomial systems allow us to use the method of moments. With this method and from a theoretical point of view, we provide necessary and sufficient conditions for the existence of minimizer by using particular featur...

To reduce the difficulty and complexity in computing the projection from a real Hilbert space onto a nonempty closed convex subset, researchers have provided a hybrid steepest-descent method for solving VI(F,K) and a subsequent three-step relaxed version of this method. In a previous study, the latter was used to develop a modified and relaxed hybrid steepest-descent (MRHSD) method. However, ch...

We consider an optimal control problem for systems governed by nonlinear ordinary differential equations, with control and state constraints, including pointwise state constraints. The problem is formulated in the classical and in the relaxed form. Various necessary/sufficient conditions for optimality are first given for both problems. For the numerical solution of these problems, we then prop...

In-network data aggregation allows energy-efficient communication within a sensor network. However, such data aggregation introduces new security challenges. As sensor nodes are prone to node-compromise, a fraction of nodes might act maliciously and forge aggregated data. For arbitrary aggregation functions, the verification of authenticity of aggregated data, i.e., its correctness, integrity, ...

System identification (SI) techniques can be used to identify the dynamic parameters of mechanical systems and civil infrastructures. The aim is rapidly consistently model object interest, in a quantitative principled manner. This also useful establishing capacity structure serve its purpose, thus as tool for structural health monitoring (SHM). In this context, input–output SI allow precise rob...