scholarly journals A mathematical model for the dynamics of happiness

2021 ◽  
Vol 19 (2) ◽  
pp. 2002-2029
Author(s):  
Gustavo Carrero ◽  
◽  
Joel Makin ◽  
Peter Malinowski ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Positive Psychology ◽  
Differential Equations ◽  
Mathematical Description ◽  
Well Being ◽  
Nonlinear Ordinary Differential Equations ◽  
The Mathematical Model ◽  
Sustainable Happiness ◽  
Over Time

<abstract><p>Positive psychology recognizes happiness as a construct comprising hedonic and eudaimonic well-being dimensions. Integrating these components and a set of theory-led assumptions, we propose a mathematical model, given by a system of nonlinear ordinary differential equations, to describe the dynamics of a person's happiness over time. The mathematical model offers insights into the role of emotions for happiness and why we struggle to attain sustainable happiness and tread the hedonic treadmill oscillating around a relative stable level of well-being. The model also indicates that lasting happiness may be achievable by developing constant eudaimonic emotions or human altruistic qualities that overcome the limits of the homeostatic hedonic system; in mathematical terms, this process is expressed as distinct dynamical bifurcations. This mathematical description is consistent with the idea that eudaimonic well-being is beyond the boundaries of hedonic homeostasis.</p></abstract>

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

scholarly journals The Mathematical Model for Total Pubertal Growth in Idiopathic Growth Hormone (GH) Deficiency Suggests a Moderate Role of GH Dose

2003 ◽  
Vol 88 (10) ◽  
pp. 4748-4753 ◽  
Author(s):  
Michael B. Ranke ◽  
Anders Lindberg ◽  
David D. Martin ◽  
Bert Bakker ◽  
Patrick Wilton ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Growth Hormone ◽  
Gh Deficiency ◽  
Pubertal Growth ◽  
The Mathematical Model

Spectral characterization of ciliary beating: variations of frequency with time

1985 ◽  
Vol 249 (1) ◽  
pp. C160-C165 ◽  
Author(s):  
D. Eshel ◽  
Y. Grossman ◽  
Z. Priel
Keyword(s):  
Mathematical Model ◽  
Power Spectra ◽  
Ciliary Beating ◽  
Isolated Lung ◽  
Ciliary Cell ◽  
The Mathematical Model ◽  
Beating Frequency ◽  
Over Time ◽  
Dominant Frequencies

Ciliary beating frequency in tissue culture from frog palate and isolated lung was optically examined using instrumentation that was adjusted to measure a fraction of the surface area of a single ciliary cell. Consecutive 1-s segments of the analogue signal were fast Fourier transformed (FFT) to obtain a power spectrum. At room temperature, these power spectra changed over time from 1 s to the next. Each spectrum contained several dominant frequencies of similar intensities. Cooling the preparation resulted in a single-peak spectrum that was constant over time. A mathematical model is proposed to simulate these findings. The results and the mathematical model support the hypothesis that ciliary beating frequency fluctuates over short periods of time.

Biomechanics of Soft Tissues: The Role of the Mathematical Model on Material Behavior

2019 ◽  
pp. 301-311
Author(s):  
Carlos Bustamante-Orellana ◽  
Robinson Guachi ◽  
Lorena Guachi-Guachi ◽  
Simone Novelli ◽  
Francesca Campana ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Soft Tissues ◽  
Material Behavior ◽  
The Mathematical Model

Resilience

2019 ◽  
pp. 286-303 ◽  
Author(s):  
Rebecca Alexander ◽  
Justine Megan Gatt
Keyword(s):  
Well Being ◽  
Neural Systems ◽  
Dynamic Interactions ◽  
Control Networks ◽  
Effective Interventions ◽  
Adaptive Recovery ◽  
The Brain ◽  
Insight Into ◽  
Over Time

Resilience refers to the process of adaptive recovery following adversity or trauma. It is likely to include an intertwined series of dynamic interactions between neural, developmental, environmental, genetic, and epigenetic factors over time. Neuroscientific research suggests the potential role of the brain’s threat and reward systems, as well as executive control networks. Developmental research provides insight into how the environment may affect these neural systems across the lifespan towards greater risk or resilience to stress. Genetic work has revealed numerous targets that alter key neurochemical systems in the brain to influence mental health. Current challenges include ambiguities in the definition and measurement of resilience and a simplified focus on resilience as the absence of psychopathology, irrespective of levels of positive mental functioning. Greater emphasis on understanding the protective aspects of resilience and related well-being outcomes are important to delineate the unique neurobiological factors that underpin this process, so that effective interventions can be developed to assist vulnerable populations and resilience promotion.

scholarly journals Computational Study of the Coupled Mechanism of Thermophoretic Transportation and Mixed Convection Flow around the Surface of a Sphere

Molecules ◽  
2020 ◽  
Vol 25 (11) ◽  
pp. 2694
Author(s):  
Amir Abbas ◽  
Muhammad Ashraf ◽  
Yu-Ming Chu ◽  
Saqib Zia ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Mixed Convection ◽  
Computational Study ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Partial Differential ◽  
Primitive Form ◽  
The Mathematical Model

The main goal of the current work was to study the coupled mechanism of thermophoretic transportation and mixed convection flow around the surface of the sphere. To analyze the characteristics of heat and fluid flow in the presence of thermophoretic transportation, a mathematical model in terms of non-linear coupled partial differential equations obeying the laws of conservation was formulated. Moreover, the mathematical model of the proposed phenomena was approximated by implementing the finite difference scheme and boundary value problem of fourth order code BVP4C built-in scheme. The novelty point of this paper is that the primitive variable formulation is introduced to transform the system of partial differential equations into a primitive form to make the line of the algorithm smooth. Secondly, the term thermophoretic transportation in the mass equation is introduced in the mass equation and thus the effect of thermophoretic transportation can be calculated at different positions of the sphere. Basically, in this study, some favorite positions around the sphere were located, where the velocity field, temperature distribution, mass concentration, skin friction, and rate of heat transfer can be calculated simultaneously without any separation in flow around the surface of the sphere.

The Study of Arc Teethed Automotive Synchronous Belt's Transmission Stability

2014 ◽  
Vol 915-916 ◽  
pp. 277-280
Author(s):  
Yao Chen Shi ◽  
Zhan Guo Li ◽  
Xiu Guang Yang
Keyword(s):  
Mathematical Model ◽  
Rotation Speed ◽  
Longitudinal Vibration ◽  
Dynamic Measurement ◽  
Frequency Change ◽  
Measurement Device ◽  
Transmission Process ◽  
Belt Transmission ◽  
The Mathematical Model ◽  
Over Time

The vibration of belt affected the transmission stability of automotive synchronous belt. The mathematical model of longitudinal vibration was established through analyzing the longitudinal vibration of automotive synchronous belt. Developed the vibration dynamic measurement device, aiming at RU style arc teethed synchronous belt transmission process, measured the variety of amplitude over time at the middle of the belt span obtained the rules of amplitude and frequency change along with the rotation speed. It is of certain importance to improving the transmission stability of arc teethed synchronous belt.

Research on Optimization Model of Vehicle Routing for Emergent Relief Supplies of Multi-Reserves

2010 ◽  
Vol 171-172 ◽  
pp. 205-210
Author(s):  
Tong Zhao ◽  
Hou Ming Fan ◽  
Gui Lin Wang
Keyword(s):  
Mathematical Model ◽  
Natural Disasters ◽  
Vehicle Routing ◽  
Optimization Model ◽  
Ant Colony Algorithm ◽  
Well Being ◽  
The World ◽  
High Level ◽  
The Mathematical Model ◽  
Improved Ant Colony Algorithm

In the world today, science and technology in natural disasters forecasting is changing with each passing day and is built up to a rather high level. But local, territorial, even just national or worldwide scope natural disasters have also posed a grave menace to human well-being and development. Therefore, researching on optimizing problem of vehicle routing for emergent relief supplies of multi-reserves, it is vital significant to quickly send relief supplies to the sufferers after sudden natural disasters. Then, we draw out the mathematical model and solve the problem reasonably based on the improved ant colony algorithm, at last, we obtain the satisfy results through an empirical exemple.

A Control System on Soil Temperature

2014 ◽  
Vol 599-601 ◽  
pp. 673-679
Author(s):  
Shi Guo Chen ◽  
Li Hua Hu ◽  
Dong Sheng Wu ◽  
Xue Yong Chen
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Soil Temperature ◽  
Control Algorithm ◽  
Soil Ecology ◽  
Control Soil ◽  
Pid Algorithm ◽  
And Control ◽  
The Mathematical Model

The soil’s temperature plays an important role of soil ecology research. In order to gain and control soil’ temperature. A control system is proposed for soil’s temperature. And a new control algorithm which is based on the PID algorithm is designed in the control system to handle the complex change of the soil’s temperature. It does not need to know the mathematical model of soil’s temperature. At last, the control result is analyzed in this paper. The result shows that the soil’s temperature is controlled ideal by this control system which is accurate to 0.5°C.

Forgiveness, Attachment to God, and Mental Health Outcomes in Older U.S. Adults: A Longitudinal Study

2017 ◽  
Vol 40 (5) ◽  
pp. 456-479 ◽  
Author(s):  
Blake Victor Kent ◽  
Matt Bradshaw ◽  
Jeremy E. Uecker
Keyword(s):  
Well Being ◽  
The United States ◽  
Self Esteem ◽  
Attachment To God ◽  
Secure Attachment ◽  
Subjective Beliefs ◽  
Divine Forgiveness ◽  
Moderating Role ◽  
Over Time

We analyze a sample of older U.S. adults with religious backgrounds in order to examine the relationships among two types of divine forgiveness and three indicators of psychological well-being (PWB) as well as the moderating role of attachment to God. Results suggest that (a) feeling forgiven by God and transactional forgiveness from God are not associated with changes in PWB over time, (b) secure attachment to God at baseline is associated with increased optimism and self-esteem, (c) feeling forgiven by God and transactional forgiveness from God are more strongly associated with increased PWB among the securely attached, and (d) among the avoidantly attached, PWB is associated with consistency in one’s beliefs, that is, a decreased emphasis on forgiveness from God. Findings underscore the importance of subjective beliefs about God in the lives of many older adults in the United States.

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