Pandemics of mutating virus and society: a multi-scale active particles approach.

This article presents, within a multiscale framework, a search for a unified approach towards modelling the COVID-19 pandemic, from contagion to within-host dynamics. The modelling is focused on vaccination and therapeutical actions in general. The first part of our article is devoted to understanding the complex features of the system and to the design of a modelling rationale. Then, the modelling approach follows mainly focused on the competition between the proliferating virus and the immune system. Modelling considers also the action of vaccination plans related to the onset of new variants. This article is part of the theme issue 'Kinetic exchange models of societies and economies'.

Collective learning modeling based on the kinetic theory of active particles.

This paper proposes a systems approach to the theory of perception and learning in populations composed of many living entities. Starting from a phenomenological description of these processes, a mathematical structure is derived which is deemed to incorporate their complexity features. The modeling is based on a generalization of kinetic theory methods where interactions are described by theoretical tools of game theory. As an application, the proposed approach is used to model the learning processes that take place in a classroom.

A randomised controlled cross-over trial of aerobic training versus Qigong in advanced Parkinson's disease.

AIM: To investigate the effects of an aerobic training in subjects with Parkinson's disease (PD) as compared to a medical Chinese exercise (Qigong). DESIGN: randomized controlled trial with a cross over design. SETTING: PD out-patients referred to a Neurorehabilitation facility for the management of motor disability. SUBJECTS: 26 PD patients in Hoehn and Yahr stage II to III under stable medication were randomly allocated to either Group AT1+QG2 (receiving 20 aerobic training sessions followed by 20 ''Qigong'' group sessions with 2 month interval between the interventions), or Group QG1+AT2 (performing the same treatments with an inverted sequence). MAIN OUTCOME MEASURES: clinical effects of treatment were sought through the Unified Parkinson's Disease Rating Scale (UPDRS), Brown's Disability Scale (B'DS), six-Minute Walking Test (6MWT), Borg scale for breathlessness, Beck Depression Inventory (BDI) and Parkinson's Disease Questionnaire-39 items (PDQ-39). A spirometry test and maximum cardiopulmonary exercise test (CPET) were also performed to determine the pulmonary function, the metabolic and cardio-respiratory requests at rest and under exercise. All measures were taken immediately before and at the completion of each treatment phase. RESULTS: The statistical analysis focusing on the evolution of motor disability and quality of life revealed a significant interaction effect between group and time for the 6MWT (time x group effect: F: 5.4 P=0.002) and the Borg scale (time x group effect: F: 4.2 P=0.009). Post hoc analysis showed a significant increase in 6MWT and a larger decrease in Borg score after aerobic training within each subgroup, whereas no significant changes were observed during Qigong. No significant changes over time were detected through the analysis of UPDRS, B'DS, BDI and PDQ-39 scores. The analysis of cardiorespiratory parameters showed significant interaction effects between group and time for the Double Productpeak (time x group effect: F: 7.7 P=0.0003), the VO(2peak) (time x group effect: F: 4.8 P=0.007), and the VO(2)/kg ratio (time x group effect: F: 4.3 P=0.009), owing to their decrease after aerobic training to an extent that was never observed after Qigong treatment. CONCLUSIONS: Aerobic training exerts a significant impact on the ability of moderately disabled PD patients to cope with exercise, although it does not improve their self-sufficiency and quality of life.

Functional improvement after subthalamic stimulation in Parkinson's disease: a non-equivalent controlled study with 12-24 month follow up.

OBJECTIVE: This study aimed to assess the effectiveness of chronic bilateral STN-S in improving the functional status of PD patients compared with patients treated with drugs alone. METHODS: Controlled study of disability index changes over 12 and 24 month chronic STN stimulation. Of 39 patients with advanced PD meeting CAPSIT criteria for STN-S, 23 underwent surgery; 16 patients decided against surgery and continued on drug schedule adjustments. Functional status was measured using the Activities of Daily Living section of the Unified Parkinson's Disease Rating Scale (UPDRS-ADL), Brown's Disability Scale, and Functional Independence Measure. UPDRS motor score and subscores for selected items, levodopa equivalent daily dose, and Beck Depression Inventory scores were also monitored. RESULTS: T12 follow up data were available for all 39 patients and T24 data for 13 STN-S and 8 control subjects. Compared with controls, STN-S patients experienced significant or highly significant improvements in all independence measures at both 12 and 24 months (time x treatment effect T12: F = 19.5, p = 0.00008; T24: F = 6.2, p = 0.005). Forward stepwise regression for independent predictors of the yearly rate of UPDRS-ADL score modification in the entire sample showed that treatment was the only factor significantly associated with functional status change (beta coefficient -0.54, t value -2.5, p = 0.02), whereas other variables-UPDRS motor score, BDI, and age at disease onset and enrolment-were not in the equation. CONCLUSION: STN-S is an effective therapeutic option in advanced PD. It induced a consistent improvement of functional abilities over two years to an extent that was not achieved with drug therapy alone.