Analyze the Effect of Healthy Behavior on Weight Change and Its Conceptual Use in Digital Behavioral Intervention

Ayan Chatterjee, Nibedita Pahari, Martin W. Gerdes, Ram Bajpai
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Abstract

The gradual increase of negative behavior in humans because of physical inactivity, unhealthy habit, and improper nutrition expedites the growth of lifestyle diseases. Proper lifestyle management may help to reach personal weight goals or maintain a normal weight range with optimization of health behaviors (physical activity, diet, and habits). This study conceptualizes a method to integrate the proposed mathematical model in a digital intervention strategy targeting obesity as a study case. We verify our proposed model with simulated data and compare it with related models based on the defined constraints. We express the mathematical model as a function of activity, habit, and nutrition with the first order law of thermodynamics, basal metabolic rate (BMR), total daily energy expenditure (TDEE), and body-mass-index (BMI) to establish a link between health behavior and weight change. We have used revised Harris-Benedict formulas (HB) for BMR and TDEE calculations. The proposed model showed a strong relationship between health behavior and weight change. The adoption of BMR and TDEE measures following the revised HB formula has outperformed the classical Wishnofsky’s rule (3500 kcal. ≈ 1 lb. or 7700 kcal ≈ 1 Kg.), and the models proposed by Toumasis et al., Azzeh et al., and Mickens et al. with an average standard deviation (σ) of ±2.26, ±2.67, ±2.432, and ±2.29 respectively. This study helped us to understand the impact of healthy behavior on weight change with a mathematical model and its importance in maintaining a healthy lifestyle.
分析健康行为对体重改变的影响及其在数字行为干预中的概念应用
由于缺乏运动、不健康的习惯和不适当的营养,人类的消极行为逐渐增加,加速了生活方式疾病的增长。适当的生活方式管理可能有助于达到个人体重目标或通过优化健康行为(体育活动、饮食和习惯)保持正常体重范围。本研究概念化了一种方法,将所提出的数学模型整合到针对肥胖的数字干预策略中作为研究案例。我们用模拟数据验证了我们提出的模型,并将其与基于定义约束的相关模型进行了比较。我们用一阶热力学定律、基础代谢率(BMR)、每日总能量消耗(TDEE)和身体质量指数(BMI)将数学模型表达为活动、习惯和营养的函数,以建立健康行为和体重变化之间的联系。我们使用修订的Harris-Benedict公式(HB)计算BMR和TDEE。该模型显示了健康行为和体重变化之间的密切关系。采用修正HB公式后的BMR和TDEE测量优于经典的Wishnofsky规则(3500 kcal.≈1磅或7700 kcal≈1千克),以及Toumasis等人、Azzeh等人和Mickens等人提出的模型,平均标准差(σ)分别为±2.26、±2.67、±2.432和±2.29。这项研究通过数学模型帮助我们了解健康行为对体重变化的影响,以及它对保持健康生活方式的重要性。
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