The M-Wright function in time-fractional diffusion processes: a tutorial survey

In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as M-Wright function, entering as a probability density in a relevant class of self-similar stochastic processes that we generally refer to as time-fractional diffusion processes. Indeed, the master equations governing these processes generalize the standard diffusion equation by means of time-integral operators interpreted as derivatives of fractional order. When these generalized diffusion processes are properly characterized with stationary increments, the M-Wright function is shown to play the same key role as the Gaussian density in the standard and fractional Brownian motions. Furthermore, these processes provide stochastic models suitable for describing phenomena of anomalous diffusion of both slow and fast type.Comment: 32 pages, 3 figure

Time-fractional diffusion of distributed order

The partial differential equation of Gaussian diffusion is generalized by using the time-fractional derivative of distributed order between 0 and 1, in both the Riemann-Liouville (R-L) and the Caputo (C) sense. For a general distribution of time orders we provide the fundamental solution, that is still a probability density, in terms of an integral of Laplace type. The kernel depends on the type of the assumed fractional derivative except for the single order case where the two approaches turn to be equivalent. We consider with some detail two cases of order distribution: the double-order and the uniformly distributed order. For these cases we exhibit plots of the corresponding fundamental solutions and their variance, pointing out the remarkable difference between the two approaches for small and large times.Comment: 30 pages, 4 figures. International Workshop on Fractional Differentiation and its Applications (FDA06), 19-21 July 2006, Porto, Portugal. Journal of Vibration and Control, in press (2007

Clinical Psychology and Amyotrophic Lateral Sclerosis

Amyotrophic lateral sclerosis is a fatal and progressive disease, characterized by progressive muscles weakness, with consequent loss of physical capacities. Psychologists can play an important role in ALS care, by providing clinical activities in every step of the disease, including support and counseling activities directed to patients, their caregivers and to physicians

The DSM: mindful science or mindless power? A critical review

In this paper we review the Diagnostic and Statistical Manual of mental health (DSM), its scientific bases and utility. The concepts of “normality,” “pathology,” and boundaries between them are critically reviewed. We further use the concepts of mindfulness and mindlessness, and evidence from cognitive and social sciences to investigate the DSM clinical and social impact and we argue against its assigned overpower. We recommend including alternative perspectives to the DSM, such as mindfulness and positive psychology. We also argue for including mindfulness training in psychiatric residency and clinical psychology programs

Langerian mindfulness and language learning

In the current article, the tenets of Langerian mindfulness and the principles of the main approaches towards language learning, that is, the environmentalist, innatist, and interactionist approaches will be reviewed and discussed. Through this review, we show what commonalities exist between the two sides of the study (i.e., mindfulness theory and language learning) and how mindfulness theory can cooperate in and facilitate the language learning process

Relaxation Techniques for People with Chronic Obstructive Pulmonary Disease: A Systematic Review and a Meta-Analysis

Chronic Obstructive Pulmonary Disease (COPD) people suffer from severe physical impairments, which often elicit significant psychological distress and impact their quality of life. This meta-analysis aimed to assess evidence from the scientific literature on the effects of relaxation techniques. Methods. We investigated 9 databases to select 25 RCTs. Studies included both inpatients and outpatients with COPD. Both respiratory and psychological outcomes were considered

Symptom changes in multiple sclerosis following psychological interventions: a systematic review

Background: Multiple Sclerosis is a disease of the central nervous system involving a variety of debilitating physical, sensory, cognitive and emotional symptoms. This literature review evaluated the impact of psychological interventions on the physiological symptoms associated with the illness. Methods: A systematic literature search was conducted using Medline, PsycINFO, Scopus, and the Cochrane Library databases, as well as reference lists. Relevant studies were selected and assessed according to a preset protocol. Results: The search produced 220 articles, with 22 meeting inclusion criteria for the review. A total of 5,705 subjects with Multiple Sclerosis were analyzed. Results from the included studies indicate a general improvement in both psychological and physiological outcomes following psychological treatment. The most highly influenced physical symptoms include fatigue, sleep disturbances, pain, and physical vitality. Conclusions: Findings from the review suggest a positive relationship between psychological interventions and physiological Multiple Sclerosis symptoms. Implications for future research are discussed