Control and Dynamics of Fractional Order Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades due to the progress in the area of nonlinear dynamics. This article discusses several applications of fractional calculus in science and engineering, namely: the control of heat systems, the tuning of PID controllers based on fractional calculus concepts and the dynamics in hexapod locomotion.

Fractional Dynamics and Control of Distributed Parameter Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses a FC perspective in the study of the dynamics and control of some distributed parameter systems.

Chaos Dynamics in the Trajectory Conjtrol of Redundant Manipulators

Nonlinear Dynamics, chaos, Control, and Their Applications to Engineering Sciences: Vol. 6 - Applications of nonlinear phenomena

Fractional Dynamics in Forest Fires

Every year forest fires consume large areas, being a major concern in many countries like Australia, United States and Mediterranean Basin European Countries (e.g., Portugal, Spain, Italy and Greece). Understanding patterns of such events, in terms of size and spatiotemporal distributions, may help to take measures beforehand in view of possible hazards and decide strategies of fire prevention, detection and suppression. Traditional statistical tools have been used to study forest fires. Nevertheless, those tools might not be able to capture the main features of fires complex dynamics and to model fire behaviour [1]. Forest fires size-frequency distributions unveil long range correlations and long memory characteristics, which are typical of fractional order systems [2]. Those complex correlations are characterized by self-similarity and absence of characteristic length-scale, meaning that forest fires exhibit power-law (PL) behaviour. Forest fires have also been proved to exhibit time-clustering phenomena, with timescales of the order of few days [3]. In this paper, we study forest fires in the perspective of dynamical systems and fractional calculus (FC). Public domain forest fires catalogues, containing data of events occurred in Portugal, in the period 1980 up to 2011, are considered. The data is analysed in an annual basis, modelling the occurrences as sequences of Dirac impulses. The frequency spectra of such signals are determined using Fourier transforms, and approximated through PL trendlines. The PL parameters are then used to unveil the fractional-order dynamics characteristics of the data. To complement the analysis, correlation indices are used to compare and find possible relationships among the data. It is shown that the used approach can be useful to expose hidden patterns not captured by traditional tools.

Symmetry and order parameter dynamics of the human odometer

Bipedal gaits have been classified on the basis of the group symmetry of the minimal network of identical differential equations (alias cells) required to model them. Primary bipedal gaits (e.g., walk, run) are characterized by dihedral symmetry, whereas secondary bipedal gaits (e.g., gallop-walk, gallop- run) are characterized by a lower, cyclic symmetry. This fact has been used in tests of human odometry (e.g., Turvey et al. in P Roy Soc Lond B Biol 276:4309–4314, 2009, J Exp Psychol Hum Percept Perform 38:1014–1025, 2012). Results suggest that when distance is measured and reported by gaits from the same symmetry class, primary and secondary gaits are comparable. Switching symmetry classes at report compresses (primary to secondary) or inflates (secondary to primary) measured distance, with the compression and inflation equal in magnitude. The present research (a) extends these findings from overground locomotion to treadmill locomotion and (b) assesses a dynamics of sequentially coupled measure and report phases, with relative velocity as an order parameter, or equilibrium state, and difference in symmetry class as an imperfection parameter, or detuning, of those dynamics. The results suggest that the symmetries and dynamics of distance measurement by the human odometer are the same whether the odometer is in motion relative to a stationary ground or stationary relative to a moving ground.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

Orthotopic Liver Transplantation in Familial Amyloidotic Polyneuropathy Is Associated with Long-Term Progression of Renal Disease

Orthotopic liver transplantation has become the treatment of choice for familial amyloidotic polyneuropathy. The aims of this study were to evaluate the renal complications post orthotopic liver transplantation in familial amyloidotic polyneuropathy and their impact. We retrospectively studied 185 recipients who underwent 217 orthotopic liver transplants. Mean age 36.8±9.5 years, 59% males, 14.3% with renal dysfunction pre orthotopic liver transplantation. Mean follow-up 3.6±3.7 years. Thirty-two patients died. Univariate and multivariate analysis were performed, and p<0.05 was considered significant. Acute kidney injury occurred in 57 patients and renal replacement therapy was needed in 16/57. In multivariate analysis, acute kidney injury was correlated with development of chronic kidney disease (p<0.001). Relating to development of chronic kidney disease, 23.5% had progress to stage 3, 6% to stage 4 and 5.1% to stage 5d. According to Spearmen correlation, risk factors for chronic kidney disease development were age (p<0.001), renal dysfunction pre orthotopic liver transplantation (p<0.001) and acute kidney injury post orthotopic liver transplantation (p<0.001). Mortality was correlated with age (p<0.001), retransplantation need (p=0.004), renal dysfunction pre orthotopic liver transplantation (p<0.001), acute kidney injury post orthotopic liver transplantation (p=0.04), and chronic kidney disease stage 5 (p<0.001). Using binary regression, mortality was correlated with chronic kidney disease development (p=0.02). In conclusion, familial amyloidotic polyneuropathy patients are disposed to renal complications that have a negative impact on the survival of these patients.

Simulation of masonry out-of-plane failure modes by multi-body dynamics

The seismic assessment of the local failure modes in existing masonry buildings is currently based on the identification of the so-called local mechanisms, often associated with the out-of-plane wall behavior, whose stability is evaluated by static force-based approaches and, more recently, by some displacement-based proposals. Local mechanisms consist of kinematic chains of masonry portions, often regarded as rigid bodies, with geometric nonlinearity and concentrated nonlinearity in predefined contact regions (unilateral no-tension behavior, possible sliding with friction). In this work, the dynamic behavior of local mechanisms is simulated through multi-body dynamics, to obtain the nonlinear response with efficient time history analyses that directly take into account the characteristics of the ground motion. The amplification/filtering effects of the structure are considered within the input motion. The proposed approach is validated with experimental results of two full-scale shaking-table tests on stone masonry buildings: a sacco-stone masonry façade tested at Laboratório Nacional de Engenharia Civil and a two-storey double-leaf masonry building tested at European Centre for Training and Research in Earthquake Engineering (EUCENTRE).

Attachment, Physiological and Familial Vulnerability in Childhood Obesity: an Interactive Multisystem Approach

The aims of the present study were to test the association between insecure attachment and basal cortisol and catecholamines levels in a sample of obese children. The role of familial vulnerability and gender was also investigated. Methods: Cortisol and catecholamines levels of 8- to 13-year olds obese children were measured. Self-report questionnaires were used to assess attachment pattern and current anxiety and depression, and parent-report questionnaires were used to assess attachment, current anxiety and depression and familial vulnerability. Linear regression analyses were performed for individuals that scored low versus high on parental internalizing problems, and for boys and girls, separately. Results: In the group with high parental internalizing problems, insecure attachment was significantly associated with reduced basal levels of cortisol, in boys (p=0.007, b= -0.861, R2= 73.0%). In the group with low parental internalizing problems, the association between insecure attachment and cortisol was not significant in either boys or girls, and it was negative in boys (p=0.075, b= -0.606, R2= 36.7%) and positive in girls (p=0.677, b= 0.176, R2= 3.1%) . Conclusions: Apparently, physiological risk factors for psicopathology in obesity are more evident in individuals with a high familial vulnerability. In addition, patterns of physiological risk for psicopathology in obesity are different in boys and girls. Therefore, it is important to take into account familial vulnerability and gender when investigating physiological risk factors for psycopathology in obesity. Insecure attachment in childhood may be a risk factor for obesity. Interventions to increase children's attachment security should examine the effects on children's weight.

The Risks of Self - Medication: Case Report of Familial Misuse of AM3 (Immunoferon®)

Over the last decades extended medical knowledge has been an important health care benefit in terms of disease prevention and management. However, probably with no exception, most pharmaceutical products are not devoid of adverse consequences. Immunomodulators are commonly considered a “benign” drug whose advantages bypass consequences. The immunomodulator AM3 (Immunoferon®) is a clinically used, orally administered compound whose active principle is stabilised in an inorganic matrix of calcium. We report the misuse of AM3 in three members of a family; father and two children. The drug was prescribed to the father who subsequently administered it to the children without seeking medical advice. Two months later, all subjects developed abdominal and/or flank colicky pain. Hypercalciuria was diagnosed in the children with different degrees of severity. It is likely that the calcium content of the inorganic matrix played an important role in the onset of symptoms. No adverse side effects related to the inorganic matrix of calcium of immunoferon® have been documented so far. This family case report calls attention to the risks of self -medication in a susceptible family. Paediatric patients are vulnerable as they rely on adults for the supply of medications. Concerning the use of drugs in family, especially nonprescription drugs, the quality of health care provided to the children depends on the health literacy of their parents.

Land cover dynamics in Savanna Ecosystem of Borena Ethiopia

Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies.

Urban land cover change detection analysis and modeling spatio-temporal Growth dynamics using Remote Sensing and GIS Techniques: A case study of Dhaka, Bangladesh

Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies.

Familial Amyloidotic Polineuropathy and Systemic Lupus

Familial amyloidotic polineuropathy is a genetic disorder, leading to systemic amyloid deposits, manifested as sensory-motor and autonomic neuropathy. In the Portuguese classical form, the disease is evident at a young age, and causes death if no specific treatment is received. Variability in penetrance, age of onset and clinical course has been published; environmental and genetic factors are believed to contribute to this variability. The authors report a case of a 51-year-old white female, with a medical history of acquired angioedema, late-onset familial amyloidotic polineuropathy and systemic lupus erythemathosus. The authors consider that these associated diseases could modulate their expression.

Caucasian Familial Moyamoya Syndrome With Rare Multisystemic Malformations

Moyamoya disease is an idiopathic progressive steno-occlusive disorder of the intracranial arteries located at the base of the brain. It is associated with the development of compensatory extensive network of fine collaterals. Moyamoya disease is considered syndromic when certain genetic or acquired disorders such as polycystic kidney disease, neurofibromatosis, or meningitis are also present. Although the genetic contribution in moyamoya is indisputable, its cause and pathogenesis remain under discussion. Herein, we report a rare occurrence of moyamoya syndrome in two European Caucasian siblings in association with unusual multisystemic malformations (polycystic kidney disease in one, and intestinal duplication cyst in the other). The karyotype was normal. No mutation in the RFN213 gene was found, and none of the HLA types linked to moyamoya disease or described in similar familial cases were identified. By describing these multisystemic associations, polycystic kidney disease for the second time, and intestinal malformation for the first time in the literature, our report expands the phenotypic variability of moyamoya syndrome. The coexistence of disparate malformations among close relatives suggests an underlying common genetic background predisposing to structural or physiological abnormalities in different tissues and organs.