Determination of mechanism of thermal decomposition of Mg,Ca and Zn hydrazidocarbonates by evolved gas analysis

Hydrazo-carbonates are complex compounds and products of the reactions between solutions of metal ion and solutions of hydrazido-carbonic acid. The decomposition of Mg(N₂H₃COO)₂. 2H₂O, Ca(N₂H₃COO)₂·H₂O and Zn(N₂H₃COO)₂ in inert atmosphere were studied. By classical thermoanalytical methods and data on the composition of the intermediates and final products the mechanisms of the thermal decomposition could not be resolved therefore also evolved gas analysis was used (EGA). The first step of thermal decomposition of Ca and Mg hydrazidocarbonates is dehydration. With the heating the decomposition of the hydrazido-carbonates proceeds under evolution of the ammonia, carbon monoxide and/or nitrogen and carbon dioxide giving as the intermediates for calcium and magnesium compounds the corresponding carbonates oxides as the final products. The zinc compound decomposes to the oxide, ZnO but also zinc cyanamide was detected during to the thermal treatment.     

Jet spaces in modern Hamiltonian biomechanics

In this paper we propose the time-dependent Hamiltonian form of human biomechanics, as a sequel to our previous work in time-dependent Lagrangian biomechanics [1]. This is the time-dependent generalization of an ‘ordinary’ autonomous human biomechanics, in which total mechanical + biochemical energy is not conserved. In our view, this time-dependent energetic approach is much more realistic than the autonomous one. Starting with the Covariant Force Law, we first develop autonomous Hamiltonian biomechanics. Then we extend it using a powerful geometrical machinery consisting of fibre bundles and jet manifolds associated to the biomechanical configuration manifold. We derive time-dependent, dissipative, Hamiltonian equations and the fitness evolution equation for the general time-dependent human biomechanical system.     

Jet methods in time-dependent Lagrangian biomechanics

In this paper we propose the time-dependent generalization of an ‘ordinary’ autonomous human biomechanics, in which total mechanical + biochemical energy is not conserved. We introduce a general framework for time-dependent biomechanics in terms of jet manifolds associated to the extended musculo-skeletal configuration manifold, called the configuration bundle. We start with an ordinary configuration manifold of human body motion, given as a set of its all active degrees of freedom (DOF) for a particular movement. This is a Riemannian manifold with a material metric tensor given by the total mass-inertia matrix of the human body segments. This is the base manifold for standard autonomous biomechanics. To make its time-dependent generalization, we need to extend it with a real time axis. By this extension, using techniques from fibre bundles, we defined the biomechanical configuration bundle. On the biomechanical bundle we define vector-fields, differential forms and affine connections, as well as the associated jet manifolds. Using the formalism of jet manifolds of velocities and accelerations, we develop the time-dependent Lagrangian biomechanics. Its underlying geometric evolution is given by the Ricci flow equation.     

Turbulence and shock-waves in crowd dynamics

In this paper, we analyze crowd turbulence from both classical and quantum perspective. We analyze various crowd waves and a collision using crowd macroscopic wave functions. In particular, we will show that nonlinear Schrödinger (NLS) equation is fundamental for quantum turbulence, while its closed-form solutions include shock-waves, solitons, and rogue waves, as well as planar de Broglie’s waves. We start by modeling various crowd flows using classical fluid dynamics, based on Navier–Stokes equations. Then we model turbulent crowd flows using quantum turbulence in Bose–Einstein condensation, based on modified NLS equation.     

A two-phase computational biomechanics model for successful rehabilitation after hip and knee surgery

Nonlinear Dynamics - We propose a two-phase computational biomechanical model for a successful rehabilitation after hip and/or knee replacement surgery. The first phase, conducted before the...     

Nonlinear complexity of human biodynamics engine

This paper reviews a nonlinear complexity within the Human Biodynamics Engine (HBE), a world-class human neuro-musculoskeletal simulator, developed at the Department of Defense, Australia. The HBE development is based on an anthropomorphic tree of Euclidean motion groups SE(3), with 270 active degrees of freedom, realistic muscular mechanics and hierarchical neural-like control. The HBE is formulated in the fashion of nonlinear dynamics/control of highly complex biophysical and robotic systems and developed for the purpose of neuro-musculoskeletal injury prediction. The following aspects of the HBE development are described: geometrical, dynamical, control, physiological, biomedical, AI, behavioral and complexity. Several simulation examples are provided.     

Fuzzy control strategies in human operator and sport modeling

The motivation behind mathematically modeling the human operator is to help explain the response characteristics of the complex dynamical system including the human manual controller. In this paper, we present two different fuzzy logic strategies for human operator and sport modeling: fixed fuzzy-logic inference control and adaptive fuzzy-logic control, including neuro-fuzzy-fractal control. As an application of the presented fuzzy strategies, we present a fuzzy-control based tennis simulator.