# A Novel Exercise Thermophysiology Comfort Prediction Model with Fuzzy Logic

Authors: Nan Jia; Liang Yu; KaiXing Yang; RuoMei Wang; XiaoNan Luo; QingZhen Xu
Journal: Mobile Information Systems
 (2016)

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## Abstract

Participation in a regular exercise program can improve health status and contribute to an increase in life expectancy. However, exercise accidents like dehydration, exertional heatstroke, syncope, and even sudden death exist. If these accidents can be analyzed or predicted before they happen, it will be beneficial to alleviate or avoid uncomfortable or unacceptable human disease. Therefore, an exercise thermophysiology comfort prediction model is needed. In this paper, coupling the thermal interactions among human body, clothing, and environment (HCE) as well as the human body physiological properties, a human thermophysiology regulatory model is designed to enhance the human thermophysiology simulation in the HCE system. Some important thermal and physiological performances can be simulated. According to the simulation results, a human exercise thermophysiology comfort prediction method based on fuzzy inference system is proposed. The experiment results show that there is the same prediction trend between the experiment result and simulation result about thermophysiology comfort. At last, a mobile application platform for human exercise comfort prediction is designed and implemented.


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## Body

## 1. Introduction

In the modern society, people are more and more health conscious to improve their life quality. Exercise is often the first step in lifestyle modifications for health maintenance and management [1, 2]. Participation in a regular exercise program can help improve various aspects of cardiovascular function, with reduction in the risk for osteoporosis. Importantly, reductions in risk factors associated with disease states (heart disease, diabetes, etc.) can improve health status and contribute to an increase in life expectancy [3].During exercise, the human body exchanges energy with the clothing system and environmental conditions in different forms of heat transfer; when the whole human-clothing-environment (HCE) system comes to a thermal steady state, physiological thermal neutrality is reached and the human body will be in a proper thermal and hydration state [4, 5]. A healthy exercise should be thermophysiology comfort for people during exercise. Some parameters can be used to evaluate the thermophysiology comfort, which are temperature, moisture, and physiological properties of heart rate, blood pressure, and so on.Research on thermophysiology comfort is important for healthy exercise. Based on the thermophysiology comfort model, the human thermal and physiological status can be described and used to predict some accidents like dehydration, exertional heatstroke, syncope, and even sudden death. If these accidents can be analyzed or predicted before they happen during exercise, it will be beneficial to alleviate or avoid disease or mortality. At the Standard Chartered Hong Kong Marathon 2013, 55 runners were reported to have fallen unconscious, to have been rendered comatose, and to have suffered from collapse because of heatstroke [6].Some landmark research results can be reviewed [7, 8]. Researches about simulating human dynamic thermal comfort in the human-clothing-environment system were presented [9–11]. Wang et al. [9] applied an adaptive neural fuzzy network in the clothing comfort evaluation model. Kingma et al. [10] developed a mathematical model for thermal sensation based on the neurophysiology of thermal reception. Huizenga et al. [11] reported a model of human physiology and comfort for assessing complex thermal environments. However, limitations have also been identified. There is a lack of enough considerations on the effects of human physiological performances in the thermophysiology comfort prediction. The human body physiological simulation model needs to be enhanced on the dynamic heat and moisture transfer in the human-clothing-environment system.In this paper, a novel thermophysiology simulation and exercise comfort prediction model is reported. Based on the HCE system, a nonlinear heart rate regulation model and the 25-node thermal regulation model are integrated together to simulate the human physiological performance like temperature, sweat rate, and heart rate. The thermal performance and physiological status of the human body can be simulated in this improved model. Comparisons among different cases show that the improved model can describe the human thermophysiology behavior in the exercise very well. And there is the same prediction trend on the experiment result and simulation result about the thermophysiology comfort.The main contributions are as follows:(i)
Integrate nonlinear heart rate regulation model into the human thermal physiological simulation model; some important thermophysiology parameters during exercise can be simulated by this integrated model.(ii)
Present a novel exercise thermophysiology comfort prediction model according to the integrated model, which can be used to describe the thermophysiology phenomenon during exercise.(iii)
Implement a mobile application for comfort prediction, in which people get their physiological comfort status according to the exercise information.The rest of this paper is organized as follows. Related work is introduced in Section2. An integrated thermal and physiological simulation model in the human-clothing-environment system is reported in Section 3. A novel thermophysiology comfort prediction model with fuzzy logic is presented in Section 4. In Section 5, case studies are designed in different scenes to validate the proposed models. And, in Section 6, a mobile application for comfort prediction is designed and implemented. Finally, conclusion is drawn.


## 2. Related Work

Research on exercise thermophysiology comfort prediction model involves multidisciplinary knowledge; the human body, clothing, and the environment are a coupled system in the heat and moisture transfer process. The phenomenon of heat and moisture transfer in the HCE system has a significant effect on the human thermophysiology comfort sensation. Figure1 shows the main components of heat and moisture transfer in HCE system.Figure 1
Main components of heat and moisture transfer in HCE system.From Figure1, it can be found that the human-clothing-environment system consists of three sets of mathematical models: (1) mathematical description of the thermoregulation of the human body; (2) mathematical description of the heat and moisture transfer processes in clothing; and (3) mathematical description of the coupled heat and moisture transfer processes in the external environment. Based on the simulation results, some thermal and physiological performances can be obtained and used to predict the thermophysiology comfort.Some research results on heat and moisture transfer in HCE system can be reviewed [12, 13]. Henry proposed mathematical models to simulate the coupled heat and moisture transfer processes in textile fibers [14]. Farnworth developed a numerical solution of the models with the linear assumption [15]. Li et al. further improved the models by incorporating fiber moisture absorption/desorption mechanisms derived from experimental data into the computations [16, 17]. Further development of the mathematical models has taken into account more physical mechanisms such as the liquid water diffusion [18], radiation effects [19], phase change materials [20], pressure gradients [21], and the effect of gravity [22]. The thermal behavior in clothing is simulated.Mathematical models describing the thermoregulatory system of the human body have been the subject of research for years. Reviewed by Cheng and Fu [23, 24], all the models for the entire body can be characterized in terms of their viewpoint of development. They are (1) one-node models [25], (2) two-node models [26], (3) multinode models [27–29], and (4) multielement models [30, 31]. Though most of them are likely to produce acceptable results under conditions of heat stress when temperature is relatively uniform throughout the body, multinode and multielement models seem to deal better with exposure to cold when large temperature gradients are developed within the body. In the human thermal regulation system, a series of physiological regulatory behaviors (sweating, vasodilatation, shivering, and vasoconstriction) whenever in hot or cold external thermal environments are simulated.Considering the interactions in the HCE system, the development of a mathematical model of the coupled heat and moisture transfer processes in the external environment is accomplished by the boundary condition equations that refer to the thermal status of the external environment and body [32]. Based on the HCE system, for the given values of humidity, air speed, metabolic rate, and clothing insulation, some simulation results on temperature, moisture, and physiological properties of heart rate and blood pressure can be obtained.Computer evaluation model is widely used to predict human comfort. Li described the thermophysiological comfort as attainment of a comfortable thermal and wetness state [33]. Wong et al. reported research on neural network predictions of human psychological perceptions of clothing sensory comfort [34] and predicted clothing sensory comfort with artificial intelligence hybrid models [35]. Wang et al. presented the mathematical simulation of the perception of fabric thermal and moisture sensations [36]. Luo et al. presented a fuzzy neural network model for predicting clothing thermal comfort [37]. And Wang et al. designed an adaptive neural fuzzy network to build a clothing comfort evaluation model [9].Although much progress has been made, there are knowledge gaps that need to be filled in individual areas. They are as follows:(i)
There are insufficient advances on the modeling of human body physiological mechanisms during the thermoregulatory processes. Some physiological parameters cannot be simulated in the heat and moisture transfer.(ii)
There is a lack of advances in mathematical modeling of thermophysiology comfort, especially in dynamic heat balance and thermoregulation of a clothed human body.This paper, therefore, aims to improve the HCE system simulation model and obtain more human body’s physiological indicators during exercise, to design a novel exercise thermophysiology comfort prediction model. Figure2 illustrates the schematic diagram of the thermophysiology comfort prediction model in HCE system reported in this paper.Figure 2
Schematic diagram of thermophysiology comfort prediction model.As shown in Figure2, the heat and moisture transfer in human-clothing-environment system evokes the effecter mechanisms of the thermoregulatory system to regulate the thermal status of the human body. Based on the 25-node human thermoregulatory model, a nonlinear heart rate regulation model is added to improve human thermal and physiological mode. The improved human thermal and physiological model can be used to describe the human physiological behavior as well as the heart rate regulation behavior during exercise. Many physiological indicators (like core temperature, heart rate, etc.) can be simulated also. According to these simulation results, the fuzzy process of thermophysiology comfort model is used to predict the thermal comfort and health status. The detailed description is shown in the following sections.


## 3. An Improved Thermal and Physiological Simulation Model in the HCE System

According to the schematic diagram of thermophysiology comfort prediction model shown in Figure2, it is important to model a reasonable mathematical model to represent the thermal and physiological behaviors in the HCE systems. Considering the feasibility and efficiency of the whole simulation process, we adapt an improved thermal physiological model which comprises a 25-node thermal regulatory model and a nonlinear heart rate regulation model for describing the thermal and physiological regulation system of the human body, as well as a coupled heat and moisture transfer model for clothing.


### 3.1. Improved Thermal Physiological Model of the Human Body

During exercise, the human body activates effective thermoregulatory mechanisms to make the body in a proper thermal status. When the temperature of the human body increases, several physiological reactions are activated automatically to speed up body heat dissipation such as sweating and automatically adjusting the cardiovascular system. During cardiovascular adjustment, the blood is redistributed from the core organs to the skin to facilitate heat dissipation, and the active muscles require blood supply to deliver oxygen for maintenance of activity. Meanwhile, the heart rate (HR) increases to sustain cardiac output and blood supply to the working muscles and the skin [38].Human thermoregulatory model can be referenced from previous researches [28, 39]. Compared with other models, in this paper, we select 25-node model as the human thermoregulatory model. The more advantages of this model are more accurate physiological simulation performances and efficient numerical computation time cost. In the 25-node model, the human body is divided into six parts: head, trunk, arms, hands, legs, and feet. Each part is expressed by four concentric layers individually representing the core, muscle, fat, and skin layers of the human body, in which all layers are connected by a central blood pool representing large arteries and veins in the body [39]. The thermoregulatory mechanisms of the human body are represented by the mathematical equationscore layer:(1)Ci,1dTi,1dt=Qi,1-Bi,1-Di,1-RESi,1,muscle layer:(2)Ci,2dTi,2dt=Qi,2-Bi,2+Di,1-Di,2,fat layer:(3)Ci,3dTi,3dt=Qi,3-Bi,3+Di,2-Di,3,skin layer:(4)Ci,4dTi,4dt=Qi,4-Bi,4+Di,3-Ei,4-Qti,4,central blood:(5)C25dT25dt=∑i=16∑j=14Bi,j,where i is the part number of the human body, j is the layer number in each part, C(i,j) is the thermal capacity of each node (i,j), C(25) is the thermal capacity of central blood, T(i,j) is the temperature of each node, T(25) is the temperature of central blood, Q(i,j) is the metabolic heat generation, Qt(i,4) is the dry heat loss on the skin surface, B(i,j) is the thermal exchange between each node and central blood, D(i,j) is the thermal conduction between adjacent layers, E(i,j) is the heat loss by evaporation, and RES(i,1) is the heat loss by respiration.For the control system of model, we haveskin blood:(6)BFi,4=BFBi,4+SKINVi×DL1+SKINCiST×kmi,4,sweat rate:(7)mrswi=CswErr1,1+SswWrms-Clds+PswWrm1,1Wrms×SKINSi×kmi,4hfg,where BF(i,j) is the skin blood flow rate, BFB(i,4) is the basal blood flow rate, mrsw is the regulatory sweating rate, Csw and Ssw are sweating control coefficients of core and skin, Psw is the overall sweat control coefficient, SHINC(i), SHINV(i), and SKINS(i) are the weighting coefficients of sweating, vasodilatation, and vasoconstriction, DL and ST are the vasodilation and vasoconstriction signals, km(i,4) is the local impact factor, Err(i,j) is the error signal, Wrm(1,1) is the warm signal, Wrms is the integrated warm signal, Clds is the integrated cold signal, and hfg is the evaporation heat of water.Some important indicators are also presented:(8)Tcore=∑i=16Ti,1+T25¯Tskin=∑i=16Ti,4¯Ms=∫∑i=16mrswidt,where Tcore is the mean core temperature of the body, Tskin is the mean skin temperature of the body, and Ms is the total sweat accumulation on skin surface.Just as mentioned above, the cardiovascular system plays a key role in the thermal regulation process. The heart rate is directly affected by the thermoregulatory mechanism. In heart rate regulation, the metabolic rate and the core temperature are two important factors. In this paper, considering the heart rate regulation mechanism and its fluctuating rules, we propose a new heart rate simulation model. This model includes a quadratic function concerning core temperature and a nonlinear term concerning metabolic rate. The nonlinear term is used to simulate the great fluctuation caused by neuroregulation. The equation of the new heart rate regulation model is shown as follows:(9)HR=NM+TTcore,where(10)NM=kM+b1-1ecMt,0≤t≤t0kM+bedt-t0/M,t>t0(11)TTcore=p2Tcore2+p1Tcore+p0.The functionsN(M) and T(Tcore) account for the effect of the body’s nervous regulation system and core temperature regulation on heart rate response, respectively. M denotes the metabolic rate and it is an important indicator to reflect the exercise intensity. Tcore is the mean core temperature of all core nodes. b, c, d, k, p2,  p1, and p0 are function coefficients to be determined, all of which can be estimated in [6, 38].


### 3.2. Heat and Moisture Transfer Model of Clothing

Clothing plays an important role in providing thermal protection for the human body and creating a portable thermal microclimate between clothing and the human body. The heat and moisture transfer process in clothing is responsible for the temperature and humidity distributions and it directly affects the thermal performance of clothing. Heat conduction, heat convention, heat radiation, moisture absorption/desorption, and so forth are basic heat and moisture transfer ways. In this paper, heat and moisture transfer model of clothing used in the HCE system is referenced by some research reports [32, 33]. The mathematic equations are described in Table 1.Table 1
Heat and moisture transfer equations of clothing.
Vapor moisture ∂ C a ε a ∂ t = 1 τ a ∂ ∂ x D a ∂ C a ε a ∂ x - ϖ 1 Γ f + Γ l g Liquid moisture ∂ ρ l ε l ∂ t = 1 τ l ∂ ∂ x D l ε l ∂ ρ l ε l ∂ x - ϖ 2 Γ f - Γ l g Heat C v ∂ T ∂ t = ∂ ∂ x K m i x x ∂ T ∂ x + ∂ F R ∂ x - ∂ F L ∂ x + ϖ 2 λ v Γ f + ϖ 1 λ v Γ f - λ l Γ l g Liquid diffusion D l ( ε l ) = γ cos ⁡ θ sin 2 ⁡ α d c ε 1 1 / 3 20 η ε 1 / 3 Condensation Γ l g = ε a h l g S v C ∗ T - C a Moisture sorption Γ f = ∂ C f ε f ∂ t = 1 r ∂ ∂ t r D f C f ε f ∂ r Radiation ∂ F R ∂ x = - β F R + β σ T 4 ,   ∂ F L ∂ x = β F L - β σ T 4In Table1, εa, εf, and εl are the volume fractions of water vapor, fibers, and liquid water, respectively. Ca is the water vapor concentration in the air. ρl is the density of liquid water in the fibers. Cv is the volumetric heat capacity of fabric. T is the temperature of fabric. K is the effective thermal conductivity of the fabric. Dfab is the water vapor diffusion ratio. Dl is the liquid water diffusion ratio. ΓR is the heat radiation loss. Γf is the effective sorption rate of the moisture. Γlg is the evaporation (condensation) rate of liquid water (vapor). λv and λl are the heat sorption and desorption of vapor and liquid water. More detailed notations can be found in [6, 39].Considering the heat and moisture interactions in the HCE system, the human body, clothing, and the environment are a coupled system in heat and moisture transfer. The boundary condition equations of the clothing heat and moisture models are accomplished by reference to the thermal status of the external environment and the body.In practice, the interactive communications between clothing and the human body and clothing and the environment frequently happen by two boundaries. One is the boundary between the body skin and the inner layer of the clothing close to skin; the other is the boundary between the outer layers of the clothing exposed to the environment [40]. The clothing exchanges energy and moisture with the skin and the external environment, and the thermal status and physiological status are automatically updated.For the inner side of the clothing close to the skin,(12)-Daτa∂Caεa∂xi,x=0=pmEi,4λlgSi-Dlτl∂ρlεl∂xi,x=0=κ2λlghlgCa∗Tcl,0-Caski-KmixdTdxi,x=0=pmHt1Tcl,0-Ti,4+phEi,4Si+κ2λlghlgCa∗Tcl,0-Caski.For the outer side of the clothing exposed to the environment,(13)-Daτa∂Caεa∂xi,x=L=κ1Hm2Cacl,L-Cenv-Dlτl∂ρlεl∂xi,x=L=κ2hlgCa∗Tcl,L-Cenv-KmixdTdxi,x=L=κ2λlghlgCa∗Tcl,L-Caenvi+Ht2Tcl,L-Tenv,where ph and pm are the proportions of moisture vapor and dry heat loss from skin at the clothing-covered area; κ1 and κ2 are the transfer proportions of water vapor and liquid water; Ht is the heat conduction coefficient of air; Hm is the mass transfer coefficient.


## 3.1. Improved Thermal Physiological Model of the Human Body

During exercise, the human body activates effective thermoregulatory mechanisms to make the body in a proper thermal status. When the temperature of the human body increases, several physiological reactions are activated automatically to speed up body heat dissipation such as sweating and automatically adjusting the cardiovascular system. During cardiovascular adjustment, the blood is redistributed from the core organs to the skin to facilitate heat dissipation, and the active muscles require blood supply to deliver oxygen for maintenance of activity. Meanwhile, the heart rate (HR) increases to sustain cardiac output and blood supply to the working muscles and the skin [38].Human thermoregulatory model can be referenced from previous researches [28, 39]. Compared with other models, in this paper, we select 25-node model as the human thermoregulatory model. The more advantages of this model are more accurate physiological simulation performances and efficient numerical computation time cost. In the 25-node model, the human body is divided into six parts: head, trunk, arms, hands, legs, and feet. Each part is expressed by four concentric layers individually representing the core, muscle, fat, and skin layers of the human body, in which all layers are connected by a central blood pool representing large arteries and veins in the body [39]. The thermoregulatory mechanisms of the human body are represented by the mathematical equationscore layer:(1)Ci,1dTi,1dt=Qi,1-Bi,1-Di,1-RESi,1,muscle layer:(2)Ci,2dTi,2dt=Qi,2-Bi,2+Di,1-Di,2,fat layer:(3)Ci,3dTi,3dt=Qi,3-Bi,3+Di,2-Di,3,skin layer:(4)Ci,4dTi,4dt=Qi,4-Bi,4+Di,3-Ei,4-Qti,4,central blood:(5)C25dT25dt=∑i=16∑j=14Bi,j,where i is the part number of the human body, j is the layer number in each part, C(i,j) is the thermal capacity of each node (i,j), C(25) is the thermal capacity of central blood, T(i,j) is the temperature of each node, T(25) is the temperature of central blood, Q(i,j) is the metabolic heat generation, Qt(i,4) is the dry heat loss on the skin surface, B(i,j) is the thermal exchange between each node and central blood, D(i,j) is the thermal conduction between adjacent layers, E(i,j) is the heat loss by evaporation, and RES(i,1) is the heat loss by respiration.For the control system of model, we haveskin blood:(6)BFi,4=BFBi,4+SKINVi×DL1+SKINCiST×kmi,4,sweat rate:(7)mrswi=CswErr1,1+SswWrms-Clds+PswWrm1,1Wrms×SKINSi×kmi,4hfg,where BF(i,j) is the skin blood flow rate, BFB(i,4) is the basal blood flow rate, mrsw is the regulatory sweating rate, Csw and Ssw are sweating control coefficients of core and skin, Psw is the overall sweat control coefficient, SHINC(i), SHINV(i), and SKINS(i) are the weighting coefficients of sweating, vasodilatation, and vasoconstriction, DL and ST are the vasodilation and vasoconstriction signals, km(i,4) is the local impact factor, Err(i,j) is the error signal, Wrm(1,1) is the warm signal, Wrms is the integrated warm signal, Clds is the integrated cold signal, and hfg is the evaporation heat of water.Some important indicators are also presented:(8)Tcore=∑i=16Ti,1+T25¯Tskin=∑i=16Ti,4¯Ms=∫∑i=16mrswidt,where Tcore is the mean core temperature of the body, Tskin is the mean skin temperature of the body, and Ms is the total sweat accumulation on skin surface.Just as mentioned above, the cardiovascular system plays a key role in the thermal regulation process. The heart rate is directly affected by the thermoregulatory mechanism. In heart rate regulation, the metabolic rate and the core temperature are two important factors. In this paper, considering the heart rate regulation mechanism and its fluctuating rules, we propose a new heart rate simulation model. This model includes a quadratic function concerning core temperature and a nonlinear term concerning metabolic rate. The nonlinear term is used to simulate the great fluctuation caused by neuroregulation. The equation of the new heart rate regulation model is shown as follows:(9)HR=NM+TTcore,where(10)NM=kM+b1-1ecMt,0≤t≤t0kM+bedt-t0/M,t>t0(11)TTcore=p2Tcore2+p1Tcore+p0.The functionsN(M) and T(Tcore) account for the effect of the body’s nervous regulation system and core temperature regulation on heart rate response, respectively. M denotes the metabolic rate and it is an important indicator to reflect the exercise intensity. Tcore is the mean core temperature of all core nodes. b, c, d, k, p2,  p1, and p0 are function coefficients to be determined, all of which can be estimated in [6, 38].


## 3.2. Heat and Moisture Transfer Model of Clothing

Clothing plays an important role in providing thermal protection for the human body and creating a portable thermal microclimate between clothing and the human body. The heat and moisture transfer process in clothing is responsible for the temperature and humidity distributions and it directly affects the thermal performance of clothing. Heat conduction, heat convention, heat radiation, moisture absorption/desorption, and so forth are basic heat and moisture transfer ways. In this paper, heat and moisture transfer model of clothing used in the HCE system is referenced by some research reports [32, 33]. The mathematic equations are described in Table 1.Table 1
Heat and moisture transfer equations of clothing.
Vapor moisture ∂ C a ε a ∂ t = 1 τ a ∂ ∂ x D a ∂ C a ε a ∂ x - ϖ 1 Γ f + Γ l g Liquid moisture ∂ ρ l ε l ∂ t = 1 τ l ∂ ∂ x D l ε l ∂ ρ l ε l ∂ x - ϖ 2 Γ f - Γ l g Heat C v ∂ T ∂ t = ∂ ∂ x K m i x x ∂ T ∂ x + ∂ F R ∂ x - ∂ F L ∂ x + ϖ 2 λ v Γ f + ϖ 1 λ v Γ f - λ l Γ l g Liquid diffusion D l ( ε l ) = γ cos ⁡ θ sin 2 ⁡ α d c ε 1 1 / 3 20 η ε 1 / 3 Condensation Γ l g = ε a h l g S v C ∗ T - C a Moisture sorption Γ f = ∂ C f ε f ∂ t = 1 r ∂ ∂ t r D f C f ε f ∂ r Radiation ∂ F R ∂ x = - β F R + β σ T 4 ,   ∂ F L ∂ x = β F L - β σ T 4In Table1, εa, εf, and εl are the volume fractions of water vapor, fibers, and liquid water, respectively. Ca is the water vapor concentration in the air. ρl is the density of liquid water in the fibers. Cv is the volumetric heat capacity of fabric. T is the temperature of fabric. K is the effective thermal conductivity of the fabric. Dfab is the water vapor diffusion ratio. Dl is the liquid water diffusion ratio. ΓR is the heat radiation loss. Γf is the effective sorption rate of the moisture. Γlg is the evaporation (condensation) rate of liquid water (vapor). λv and λl are the heat sorption and desorption of vapor and liquid water. More detailed notations can be found in [6, 39].Considering the heat and moisture interactions in the HCE system, the human body, clothing, and the environment are a coupled system in heat and moisture transfer. The boundary condition equations of the clothing heat and moisture models are accomplished by reference to the thermal status of the external environment and the body.In practice, the interactive communications between clothing and the human body and clothing and the environment frequently happen by two boundaries. One is the boundary between the body skin and the inner layer of the clothing close to skin; the other is the boundary between the outer layers of the clothing exposed to the environment [40]. The clothing exchanges energy and moisture with the skin and the external environment, and the thermal status and physiological status are automatically updated.For the inner side of the clothing close to the skin,(12)-Daτa∂Caεa∂xi,x=0=pmEi,4λlgSi-Dlτl∂ρlεl∂xi,x=0=κ2λlghlgCa∗Tcl,0-Caski-KmixdTdxi,x=0=pmHt1Tcl,0-Ti,4+phEi,4Si+κ2λlghlgCa∗Tcl,0-Caski.For the outer side of the clothing exposed to the environment,(13)-Daτa∂Caεa∂xi,x=L=κ1Hm2Cacl,L-Cenv-Dlτl∂ρlεl∂xi,x=L=κ2hlgCa∗Tcl,L-Cenv-KmixdTdxi,x=L=κ2λlghlgCa∗Tcl,L-Caenvi+Ht2Tcl,L-Tenv,where ph and pm are the proportions of moisture vapor and dry heat loss from skin at the clothing-covered area; κ1 and κ2 are the transfer proportions of water vapor and liquid water; Ht is the heat conduction coefficient of air; Hm is the mass transfer coefficient.


## 4. An Exercise Thermophysiology Comfort Prediction Model

Human comfort can be used to describe the overall state of the body physiologically, which is an important index of body wellbeing. Current researches on human comfort mainly focus on the unilateral prediction of thermal comfort. But, in reality, human thermal senses directly affect the physiological changes. For example, as the temperature of the human body rises, the heart rate, blood pressure, and other physiological signs will change as well. Therefore, the thermal comfort and physiological comfort should be integrated and taken into account. In this paper, an exercise thermophysiology comfort prediction model is designed. The fuzzy inference system [9] is used in the comfort prediction model. Some thermal and physiological indicators during exercise can be used as the input to predict the thermal comfort and health status.For the various simulated indicators in our thermal physiological model, we select mean skin temperature, mean core temperature, and change rate of mean skin temperature as input variables, and the prediction results of thermal comfort will be got after the reasoning process. Correspondingly, we select the mean core temperature, sweat accumulation (it is approximately equal to the amount of dehydration), and heart rate as input variables and evaluate the physiological comfort. The comfort variables and the related fuzzy sets are listed in Table2.Table 2
The list of comfort variables and the related fuzzy sets.
Name Variables Fuzzy sets Thermal comfortSl T s k i n Very low, low, neutral, high, very high T c o r e Very low, low, neutral, high, very high d T s k i n / d t Fast decrease, decrease, neutral, increase, fast increase  Physiological comfortSp T c o r e Very low, low, neutral, high, very high M s Severe dehydration, moderate dehydration, slight dehydration, normal H R Low, normal, high  Overall comfortS S l Cold, cool, neutral, warm, hot S p High risk, low risk, normal S Uncomfortable, acceptable, comfortableEquation (14) is the trapezoidal function, which is used to define the membership function of every input. The feeling interval for different thermal and physiological sensation can be obtained based on the trapezoidal function:(14)μx=x-ab-a,a≤x≤b1,b≤x≤cd-xd-c,c≤x≤d,where a, b, c, and d are threshold parameters used to determine the shape of the membership function. By changing these parameters, the feeling interval of thermal and physiological status can be well defined and divided.Figures3 and 4 show the membership functions of thermal and physiological comfort inputs, respectively. All the threshold parameters are given by experts on sports medicine [41].Figure 3
The membership function of thermal comfort indicators.
(a)
Mean skin temperature (b)
Mean core temperature (c)
Change rate of mean skin temperatureFigure 4
The membership function of physiological comfort indicators.
(a)
Mean core temperature (b)
Sweat accumulation (c)
Heart rateAccording to the human mean skin temperature, mean core temperature, and change rate of mean skin temperature, we define a thermal comfort function to predict the human thermal status during exercise. In (15), Sl is the thermal comfort sensation and f is the thermal comfort inference function, in which an adaptive neurofuzzy inference system (ANFIS) is introduced to evaluate the thermal comfort. The ANFIS achieves fuzzification, fuzzy reasoning, and defuzzification process using a neutral work, while taking advantage of the information storage capacity and learning ability of artificial neural network [9]. Hence,(15)Sl=fTskin,Tcore,dTskindt.At the same time, physiological comfort of the human body should be considered. In accordance with the human mean core temperature, sweat accumulation, and heart rate, we define a physiological sensation function to predict the human health status during exercise. Equation (16) is the definition of physiological comfort sensation. In the physiological comfort inference process, we also construct the ANFIS to obtain the physiological comfort sensation. Hence,(16)Sp=fTcore,Ms,HR.Under a series of comfort inference rules, the overall comfort in (17) can be calculated from the thermal comfort sensation and physiological comfort sensation. All the rules defined here are based on a large number of statistical analyses and medicine knowledge [6, 33, 41]. Some representative inference rules defined in this paper are presented as follows:(17)S=RSl,Sp.Rule 1.
If thermal sensation is neutral and physiological sensation is normal, then overall comfort is comfortable.Rule 2.
If thermal sensation is cool and physiological sensation is normal, then overall comfort is acceptable.Rule 3.
If thermal sensation is hot and physiological sensation is high risk, then overall comfort is uncomfortable.


## 5. Case Study

Three exercise cases are designed to evaluate the exercise thermophysiology comfort prediction model.


### 5.1. Scenes Setting

Different types of exercises are used for thermal physiological simulation and comfort prediction. Table3 shows the cases definition. In the three cases, the subject is the same person (25 years old, 70 kg, about 1.8 m2 body surface area). Also, the subject wears the same cotton suit with 70% coverage rate. The environment temperature and relative humidity are set to 32°C and 50%. To set up several different scenes, three types of exercises for 30 minutes are introduced, that is, running, jogging, and walking.Table 3
Cases definition.
Case Settings Subject Clothing Environment Exercise Gender Age Weight Body Composition Coverage Temperature Relative Exercise Duration (years) (kg) area (m2)  rate (°C) humidity type (min) Case 1 Male 25 70 1.8 98% cotton, 2% lycra 70% 32 50% Running 30 Case 2 Jogging 30 Case 3 Walking 30


### 5.2. Results Discussion

#### 5.2.1. Simulation Results of Thermal Physiological Model

During exercise, the human body’s thermal status and physiological status dynamically change, mainly reflected in the following phenomenon: temperature rising, heart rate accelerating, sweating increasing, and so forth. Figure5 shows the simulated tendency curves of four important physiological indicators. It illustrates that the values of human physiological indicators are changed to varying degrees in different exercises. The higher the exercise intensity we choose, the more significant the changes in simulation.Figure 5
The simulation results of our improved thermal physiological model in different scenes; they should be listed as (a) mean core temperature tendency, (b) mean skin temperature tendency, (c) sweat accumulation tendency, and (d) heart rate tendency.
(a)
Mean core temperature (b)
Mean skin temperature (c)
Sweat accumulation (d)
Heart rateFigure5(a) illustrates the changes of mean core temperature in three scenes. Because of the thermoregulatory behaviors such as metabolic heat production, exercise heat production, and sweating, the core temperature increases gradually and it is maintained in balance within a certain temperature. Figure 5(b) illustrates the changes of mean skin temperature and Figure 5(c) illustrates the sweat accumulation of the human body. As shown in Figure 5(b), the values of mean skin temperature increase rapidly first and then keep balance for a short time (especially in jogging and running) and at last decline to secondary balance state, while a relatively high skin temperature in walking continues for a long time. The variation of mean skin temperature is mainly due to the sweat evaporation of the human body, which can bring out heat from skin and decrease the skin temperature. Since the sweat in running is greater than that in jogging (reflected in Figure 5(c)), the mean skin temperature curve in running fell earlier than that in jogging in Figure 5(b). Meanwhile, the accumulation of sweat in walking affects the skin temperature slightly; thus, the tendency curve in walking increases first and then keeps balance. Figure 5(d) presents the changes of heart rate. As the heart rate simulation is directly associated with the core temperature and metabolic rate, its distribution is in agreement with the core temperature curves in Figure 5(a); running achieves the highest heart rate values, jogging is the second, and walking is the lowest.


#### 5.2.2. Thermophysiology Comfort Prediction

Table4 shows the simulated values and overall comfort in three different scenes. In general, walking makes people feel comfortable and acceptable in the whole process, while jogging makes people feel comfortable and acceptable in a relatively long period of time, and running makes people feel uncomfortable in a relatively long period of time.Table 4
Results of thermophysiology comfort prediction for three cases.
Cases Time (seconds) Thermal values Physiological values Overall comfort T s k i n  / T c o r e / d T s k i n / d t / S l T c o r e / M s / H R / S p (°C/°C/°C/—) (°C/g/—/—) Case 1 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 166 34.89/37.44/2.89/neutral 37.44/3.22/140.95/normal Comfortable t = 167 34.91/37.45/2.91/warm 37.45/3.27/140.97/normal Acceptable t = 513 36.36/38.29/4.36/warm 38.29/40.22/153.93/normal Acceptable t = 514 36.36/38.30/4.36/hot 38.30/40.37/153.97/low risk Uncomfortable t = 1800 35.66/39.67/3.66/hot 39.67/338.35/171.69/high risk Uncomfortable  Case 2 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 213 34.88/37.38/2.88/neutral 37.38/3.52/119.90/normal Comfortable t = 214 34.90/37.39/2.90/warm 37.39/3.57/119.90/normal Acceptable t = 815 36.38/38.29/4.38/warm 38.29/67.36/136.49/normal Acceptable t = 816 36.38/38.30/4.38/hot 38.30/67.51/136.52/low risk Uncomfortable t = 1800 35.27/38.73/3.27/hot 38.73/243.23/145.43/low risk Uncomfortable  Case 3 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 320 34.89/37.31/2.89/neutral 37.31/4.16/99.28/normal Comfortable t = 321 34.90/37.31/2.90/warm 37.31/4.20/99.29/normal Acceptable t = 1800 36.41/38.19/4.41/warm 38.19/155.83/127.12/normal AcceptableIn the first 166 s of case 1, people feel comfortable, since all thermal sensation and physiological sensation keep normal. From 167 s to 513 s, people feel acceptable since thermal sensation changes to warm, but physiological sensation still keeps normal. After that, from 514 s, both the thermal values and the physiological values are changed; people feel uncomfortable with the thermal sensation getting into hot and physiological sensation getting into low risk and even high risk. In case 2, from 0 s to 213 s, people feel comfortable since both thermal sensation and physiological sensation are normal. From 214 s to 815 s, the human comfort is acceptable. From 816 s, people feel uncomfortable with the thermal sensation getting into hot and physiological sensation getting into low risk. In case 3, from 0 s to 320 s, people feel comfortable. After that, people feel acceptable until the end of the exercise.The experiment results show some important and valuable suggestions: for example, walking is a comfortable and acceptable exercise in daily life; our simulated results also tell us that walking within 30 minutes is acceptable and cannot cause any discomfort. Jogging for a relatively long period of time also makes people feel comfortable, while it will make people feel uncomfortable when the exercise time exceeds 13.5 minutes. Therefore, we should pay attention to drinking water and cooling while jogging for a long time. The results also show that running will easily cause body discomfort. When people run at 32°C in 8 minutes, it is easy for them to feel uncomfortable. Running makes people feel uncomfortable by changing body temperature into a hot state and putting the human body’s physiological state into a high risk state. So, we recommend not to run for a long time in a hot environment.


### 5.3. More Discussion

The aim of the case study is to evaluate human comfort under different exercise intensities. Therefore, we take exercise intensity as variable, and other factors (subject, clothing, environment, etc.) as invariants in the setting of the case study. It is worth noting that this does not mean that our model cannot simulate the thermal physiological changes and predict human comfort caused by other factors. To support this conclusion, some extra cases are discussed as follows.(i) Subject. To validate that our model is subject-sensitive, subjects of different gender, age, and body type have been chosen and series cases are designed and simulated. From the simulation results, it can be concluded that different personal parameter settings can affect the human thermoregulatory mechanism and cause different degrees of thermal physiological and human comfort change. For example, core temperature, sweat accumulation, and heart rate in old people are lower than those in young people. Besides, old people are more likely to feel uncomfortable. Parts of the simulated tendency curves such as mean skin temperature and sweat accumulation are shown in Figure 6. Therefore, our simulation is subject-sensitive.Figure 6
The tendency curves of mean skin temperature and sweat accumulation with different subjects.
(a)
Mean skin temperature (b)
Sweat accumulation(ii) Clothing. To validate that our model is clothing-sensitive, a series of contrast experiments with different clothing settings are conducted, and parts of the simulated tendency curves such as mean core temperature and sweat accumulation are shown in Figure 7.Figure 7
The tendency curves of mean core temperature and sweat accumulation with different clothing.
(a)
Mean core temperature (b)
Sweat accumulation(iii) Environment. To validate that our model is environment-sensitive, we also conduct a series of contrast experiments with different environment settings. The result shows that a man running in an extreme environment like high temperature and high humidity can easily experience discomfort both in thermal sensation and in physiological sensation. Figure 8 shows the tendency curves and Table 5 lists the predicted comfort.Table 5
Results of thermophysiology comfort prediction in different environments.
Cases Time(seconds) Thermal values Physiological values Overall comfort T s k i n / T c o r e / d T s k i n / d t / S l T c o r e / M s / H R / S p (°C/°C/°C/—) (°C/g/—/—) 25°C, 50% RH t = 0 31.67/37.01/-0.32/neural 37.01/0.00/79.19/normal Comfortable t = 302 34.90/37.44/2.90/neural 37.44/5.88/117.47/normal Comfortable t = 303 34.90/37.44/2.91/warm 37.44/5.93/117.48/normal Acceptable t = 1087 35.92/38.30/3.92/warm 38.30/87.40/133.78/normal Acceptable t = 1088 35.92/38.30/3.92/hot 38.30/87.55/133.80/low risk Uncomfortable t = 1800 35.96/38.77/3.96/hot 38.77/210.52/146.46/low risk Uncomfortable  35°C, 70% RH t = 0 32.88/37.04/0.88/neutral 37.04/0.00/80.31/normal Comfortable t = 162 34.89/37.36/2.89/neutral 37.36/2.66/121.68/normal Comfortable t = 163 34.91/37.36/2.91/warm 37.36/2.70/121.68/normal Acceptable t = 713 36.60/38.30/4.60/warm 38.30/61.56/138.11/normal Acceptable t = 714 36.60/38.30/4.60/hot 38.30/61.72/138.14/low risk Uncomfortable t = 1800 36.60/39.30/4.60/hot 39.30/299.33/160.91/low risk UncomfortableFigure 8
The tendency curves of mean core temperature and sweat accumulation with different environments.
(a)
Mean core temperature (b)
Sweat accumulationAlthough we have not elaborated the effects of subject, clothing, and environment on human thermal physiological simulation as well as comfort prediction, our thermal physiological model and comfort prediction model are capable of simulating and analyzing the effects caused by these factors in HCE systems.


## 5.1. Scenes Setting

Different types of exercises are used for thermal physiological simulation and comfort prediction. Table3 shows the cases definition. In the three cases, the subject is the same person (25 years old, 70 kg, about 1.8 m2 body surface area). Also, the subject wears the same cotton suit with 70% coverage rate. The environment temperature and relative humidity are set to 32°C and 50%. To set up several different scenes, three types of exercises for 30 minutes are introduced, that is, running, jogging, and walking.Table 3
Cases definition.
Case Settings Subject Clothing Environment Exercise Gender Age Weight Body Composition Coverage Temperature Relative Exercise Duration (years) (kg) area (m2)  rate (°C) humidity type (min) Case 1 Male 25 70 1.8 98% cotton, 2% lycra 70% 32 50% Running 30 Case 2 Jogging 30 Case 3 Walking 30


## 5.2. Results Discussion

### 5.2.1. Simulation Results of Thermal Physiological Model

During exercise, the human body’s thermal status and physiological status dynamically change, mainly reflected in the following phenomenon: temperature rising, heart rate accelerating, sweating increasing, and so forth. Figure5 shows the simulated tendency curves of four important physiological indicators. It illustrates that the values of human physiological indicators are changed to varying degrees in different exercises. The higher the exercise intensity we choose, the more significant the changes in simulation.Figure 5
The simulation results of our improved thermal physiological model in different scenes; they should be listed as (a) mean core temperature tendency, (b) mean skin temperature tendency, (c) sweat accumulation tendency, and (d) heart rate tendency.
(a)
Mean core temperature (b)
Mean skin temperature (c)
Sweat accumulation (d)
Heart rateFigure5(a) illustrates the changes of mean core temperature in three scenes. Because of the thermoregulatory behaviors such as metabolic heat production, exercise heat production, and sweating, the core temperature increases gradually and it is maintained in balance within a certain temperature. Figure 5(b) illustrates the changes of mean skin temperature and Figure 5(c) illustrates the sweat accumulation of the human body. As shown in Figure 5(b), the values of mean skin temperature increase rapidly first and then keep balance for a short time (especially in jogging and running) and at last decline to secondary balance state, while a relatively high skin temperature in walking continues for a long time. The variation of mean skin temperature is mainly due to the sweat evaporation of the human body, which can bring out heat from skin and decrease the skin temperature. Since the sweat in running is greater than that in jogging (reflected in Figure 5(c)), the mean skin temperature curve in running fell earlier than that in jogging in Figure 5(b). Meanwhile, the accumulation of sweat in walking affects the skin temperature slightly; thus, the tendency curve in walking increases first and then keeps balance. Figure 5(d) presents the changes of heart rate. As the heart rate simulation is directly associated with the core temperature and metabolic rate, its distribution is in agreement with the core temperature curves in Figure 5(a); running achieves the highest heart rate values, jogging is the second, and walking is the lowest.


### 5.2.2. Thermophysiology Comfort Prediction

Table4 shows the simulated values and overall comfort in three different scenes. In general, walking makes people feel comfortable and acceptable in the whole process, while jogging makes people feel comfortable and acceptable in a relatively long period of time, and running makes people feel uncomfortable in a relatively long period of time.Table 4
Results of thermophysiology comfort prediction for three cases.
Cases Time (seconds) Thermal values Physiological values Overall comfort T s k i n  / T c o r e / d T s k i n / d t / S l T c o r e / M s / H R / S p (°C/°C/°C/—) (°C/g/—/—) Case 1 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 166 34.89/37.44/2.89/neutral 37.44/3.22/140.95/normal Comfortable t = 167 34.91/37.45/2.91/warm 37.45/3.27/140.97/normal Acceptable t = 513 36.36/38.29/4.36/warm 38.29/40.22/153.93/normal Acceptable t = 514 36.36/38.30/4.36/hot 38.30/40.37/153.97/low risk Uncomfortable t = 1800 35.66/39.67/3.66/hot 39.67/338.35/171.69/high risk Uncomfortable  Case 2 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 213 34.88/37.38/2.88/neutral 37.38/3.52/119.90/normal Comfortable t = 214 34.90/37.39/2.90/warm 37.39/3.57/119.90/normal Acceptable t = 815 36.38/38.29/4.38/warm 38.29/67.36/136.49/normal Acceptable t = 816 36.38/38.30/4.38/hot 38.30/67.51/136.52/low risk Uncomfortable t = 1800 35.27/38.73/3.27/hot 38.73/243.23/145.43/low risk Uncomfortable  Case 3 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 320 34.89/37.31/2.89/neutral 37.31/4.16/99.28/normal Comfortable t = 321 34.90/37.31/2.90/warm 37.31/4.20/99.29/normal Acceptable t = 1800 36.41/38.19/4.41/warm 38.19/155.83/127.12/normal AcceptableIn the first 166 s of case 1, people feel comfortable, since all thermal sensation and physiological sensation keep normal. From 167 s to 513 s, people feel acceptable since thermal sensation changes to warm, but physiological sensation still keeps normal. After that, from 514 s, both the thermal values and the physiological values are changed; people feel uncomfortable with the thermal sensation getting into hot and physiological sensation getting into low risk and even high risk. In case 2, from 0 s to 213 s, people feel comfortable since both thermal sensation and physiological sensation are normal. From 214 s to 815 s, the human comfort is acceptable. From 816 s, people feel uncomfortable with the thermal sensation getting into hot and physiological sensation getting into low risk. In case 3, from 0 s to 320 s, people feel comfortable. After that, people feel acceptable until the end of the exercise.The experiment results show some important and valuable suggestions: for example, walking is a comfortable and acceptable exercise in daily life; our simulated results also tell us that walking within 30 minutes is acceptable and cannot cause any discomfort. Jogging for a relatively long period of time also makes people feel comfortable, while it will make people feel uncomfortable when the exercise time exceeds 13.5 minutes. Therefore, we should pay attention to drinking water and cooling while jogging for a long time. The results also show that running will easily cause body discomfort. When people run at 32°C in 8 minutes, it is easy for them to feel uncomfortable. Running makes people feel uncomfortable by changing body temperature into a hot state and putting the human body’s physiological state into a high risk state. So, we recommend not to run for a long time in a hot environment.


## 5.2.1. Simulation Results of Thermal Physiological Model

During exercise, the human body’s thermal status and physiological status dynamically change, mainly reflected in the following phenomenon: temperature rising, heart rate accelerating, sweating increasing, and so forth. Figure5 shows the simulated tendency curves of four important physiological indicators. It illustrates that the values of human physiological indicators are changed to varying degrees in different exercises. The higher the exercise intensity we choose, the more significant the changes in simulation.Figure 5
The simulation results of our improved thermal physiological model in different scenes; they should be listed as (a) mean core temperature tendency, (b) mean skin temperature tendency, (c) sweat accumulation tendency, and (d) heart rate tendency.
(a)
Mean core temperature (b)
Mean skin temperature (c)
Sweat accumulation (d)
Heart rateFigure5(a) illustrates the changes of mean core temperature in three scenes. Because of the thermoregulatory behaviors such as metabolic heat production, exercise heat production, and sweating, the core temperature increases gradually and it is maintained in balance within a certain temperature. Figure 5(b) illustrates the changes of mean skin temperature and Figure 5(c) illustrates the sweat accumulation of the human body. As shown in Figure 5(b), the values of mean skin temperature increase rapidly first and then keep balance for a short time (especially in jogging and running) and at last decline to secondary balance state, while a relatively high skin temperature in walking continues for a long time. The variation of mean skin temperature is mainly due to the sweat evaporation of the human body, which can bring out heat from skin and decrease the skin temperature. Since the sweat in running is greater than that in jogging (reflected in Figure 5(c)), the mean skin temperature curve in running fell earlier than that in jogging in Figure 5(b). Meanwhile, the accumulation of sweat in walking affects the skin temperature slightly; thus, the tendency curve in walking increases first and then keeps balance. Figure 5(d) presents the changes of heart rate. As the heart rate simulation is directly associated with the core temperature and metabolic rate, its distribution is in agreement with the core temperature curves in Figure 5(a); running achieves the highest heart rate values, jogging is the second, and walking is the lowest.


## 5.2.2. Thermophysiology Comfort Prediction

Table4 shows the simulated values and overall comfort in three different scenes. In general, walking makes people feel comfortable and acceptable in the whole process, while jogging makes people feel comfortable and acceptable in a relatively long period of time, and running makes people feel uncomfortable in a relatively long period of time.Table 4
Results of thermophysiology comfort prediction for three cases.
Cases Time (seconds) Thermal values Physiological values Overall comfort T s k i n  / T c o r e / d T s k i n / d t / S l T c o r e / M s / H R / S p (°C/°C/°C/—) (°C/g/—/—) Case 1 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 166 34.89/37.44/2.89/neutral 37.44/3.22/140.95/normal Comfortable t = 167 34.91/37.45/2.91/warm 37.45/3.27/140.97/normal Acceptable t = 513 36.36/38.29/4.36/warm 38.29/40.22/153.93/normal Acceptable t = 514 36.36/38.30/4.36/hot 38.30/40.37/153.97/low risk Uncomfortable t = 1800 35.66/39.67/3.66/hot 39.67/338.35/171.69/high risk Uncomfortable  Case 2 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 213 34.88/37.38/2.88/neutral 37.38/3.52/119.90/normal Comfortable t = 214 34.90/37.39/2.90/warm 37.39/3.57/119.90/normal Acceptable t = 815 36.38/38.29/4.38/warm 38.29/67.36/136.49/normal Acceptable t = 816 36.38/38.30/4.38/hot 38.30/67.51/136.52/low risk Uncomfortable t = 1800 35.27/38.73/3.27/hot 38.73/243.23/145.43/low risk Uncomfortable  Case 3 t = 0 32.44/36.99/0.44/neutral 36.99/0.00/78.49/normal Comfortable t = 320 34.89/37.31/2.89/neutral 37.31/4.16/99.28/normal Comfortable t = 321 34.90/37.31/2.90/warm 37.31/4.20/99.29/normal Acceptable t = 1800 36.41/38.19/4.41/warm 38.19/155.83/127.12/normal AcceptableIn the first 166 s of case 1, people feel comfortable, since all thermal sensation and physiological sensation keep normal. From 167 s to 513 s, people feel acceptable since thermal sensation changes to warm, but physiological sensation still keeps normal. After that, from 514 s, both the thermal values and the physiological values are changed; people feel uncomfortable with the thermal sensation getting into hot and physiological sensation getting into low risk and even high risk. In case 2, from 0 s to 213 s, people feel comfortable since both thermal sensation and physiological sensation are normal. From 214 s to 815 s, the human comfort is acceptable. From 816 s, people feel uncomfortable with the thermal sensation getting into hot and physiological sensation getting into low risk. In case 3, from 0 s to 320 s, people feel comfortable. After that, people feel acceptable until the end of the exercise.The experiment results show some important and valuable suggestions: for example, walking is a comfortable and acceptable exercise in daily life; our simulated results also tell us that walking within 30 minutes is acceptable and cannot cause any discomfort. Jogging for a relatively long period of time also makes people feel comfortable, while it will make people feel uncomfortable when the exercise time exceeds 13.5 minutes. Therefore, we should pay attention to drinking water and cooling while jogging for a long time. The results also show that running will easily cause body discomfort. When people run at 32°C in 8 minutes, it is easy for them to feel uncomfortable. Running makes people feel uncomfortable by changing body temperature into a hot state and putting the human body’s physiological state into a high risk state. So, we recommend not to run for a long time in a hot environment.


## 5.3. More Discussion

The aim of the case study is to evaluate human comfort under different exercise intensities. Therefore, we take exercise intensity as variable, and other factors (subject, clothing, environment, etc.) as invariants in the setting of the case study. It is worth noting that this does not mean that our model cannot simulate the thermal physiological changes and predict human comfort caused by other factors. To support this conclusion, some extra cases are discussed as follows.(i) Subject. To validate that our model is subject-sensitive, subjects of different gender, age, and body type have been chosen and series cases are designed and simulated. From the simulation results, it can be concluded that different personal parameter settings can affect the human thermoregulatory mechanism and cause different degrees of thermal physiological and human comfort change. For example, core temperature, sweat accumulation, and heart rate in old people are lower than those in young people. Besides, old people are more likely to feel uncomfortable. Parts of the simulated tendency curves such as mean skin temperature and sweat accumulation are shown in Figure 6. Therefore, our simulation is subject-sensitive.Figure 6
The tendency curves of mean skin temperature and sweat accumulation with different subjects.
(a)
Mean skin temperature (b)
Sweat accumulation(ii) Clothing. To validate that our model is clothing-sensitive, a series of contrast experiments with different clothing settings are conducted, and parts of the simulated tendency curves such as mean core temperature and sweat accumulation are shown in Figure 7.Figure 7
The tendency curves of mean core temperature and sweat accumulation with different clothing.
(a)
Mean core temperature (b)
Sweat accumulation(iii) Environment. To validate that our model is environment-sensitive, we also conduct a series of contrast experiments with different environment settings. The result shows that a man running in an extreme environment like high temperature and high humidity can easily experience discomfort both in thermal sensation and in physiological sensation. Figure 8 shows the tendency curves and Table 5 lists the predicted comfort.Table 5
Results of thermophysiology comfort prediction in different environments.
Cases Time(seconds) Thermal values Physiological values Overall comfort T s k i n / T c o r e / d T s k i n / d t / S l T c o r e / M s / H R / S p (°C/°C/°C/—) (°C/g/—/—) 25°C, 50% RH t = 0 31.67/37.01/-0.32/neural 37.01/0.00/79.19/normal Comfortable t = 302 34.90/37.44/2.90/neural 37.44/5.88/117.47/normal Comfortable t = 303 34.90/37.44/2.91/warm 37.44/5.93/117.48/normal Acceptable t = 1087 35.92/38.30/3.92/warm 38.30/87.40/133.78/normal Acceptable t = 1088 35.92/38.30/3.92/hot 38.30/87.55/133.80/low risk Uncomfortable t = 1800 35.96/38.77/3.96/hot 38.77/210.52/146.46/low risk Uncomfortable  35°C, 70% RH t = 0 32.88/37.04/0.88/neutral 37.04/0.00/80.31/normal Comfortable t = 162 34.89/37.36/2.89/neutral 37.36/2.66/121.68/normal Comfortable t = 163 34.91/37.36/2.91/warm 37.36/2.70/121.68/normal Acceptable t = 713 36.60/38.30/4.60/warm 38.30/61.56/138.11/normal Acceptable t = 714 36.60/38.30/4.60/hot 38.30/61.72/138.14/low risk Uncomfortable t = 1800 36.60/39.30/4.60/hot 39.30/299.33/160.91/low risk UncomfortableFigure 8
The tendency curves of mean core temperature and sweat accumulation with different environments.
(a)
Mean core temperature (b)
Sweat accumulationAlthough we have not elaborated the effects of subject, clothing, and environment on human thermal physiological simulation as well as comfort prediction, our thermal physiological model and comfort prediction model are capable of simulating and analyzing the effects caused by these factors in HCE systems.


## 6. A Mobile Application for Human Comfort Prediction

With the development of mobile communication technology and increasing popularization of the Internet, mobile multimedia services are more and more favored by users. Various mobile devices and applications are designed to aid people to improve their life quality. Exercise thermophysiology comfort is regarded as one of the most important and significative research areas, which has been focused upon in recent years. According to the previous description and the mobile application requirements of human comfort, a user-friendly smart application with low computational requirements has been developed to evaluate human exercise comfort in daily life, which allows easily changing the simulation scenes and simulating the human physiological status as well as carrying out comfort evaluation and prediction. The basic architecture for the prototype is shown in Figure9. Through a variety of mobile devices, the scene parameters are set and transmitted to the server side to compute the comfort sensation of the human body.Figure 9
The basic architecture for the comfort prediction prototype in mobile scenario.


### 6.1. App Input: Scene Parameters Definition

Various parameters in the scene of case study directly affect simulation results, and the different combination of scene parameters will produce different physiological state and comfort sensation. Four main types of scene parameters are defined, which are personal parameter, clothing parameter, activity parameter, and boundary parameter. Figure10(a) shows the list view of scene parameters, and Figures 10(b) and 10(c) are the detailed views. The personal parameter includes the gender, age, height, weight, and some specific human physiological parameters like the density of blood and specific heat of the body. Because these physiological parameters have small variations among individuals, they are preset with default values. If necessary, these specific physiological parameters can be input by customs themselves. The clothing parameter includes the clothing style, composition, and coverage rate. Besides, the fabric parameters like porosity, capillary angle, and heat transfer coefficients are also preset. The activity parameter contains environment and exercise settings. Temperature, humidity, wind velocity, and exercise type and duration are all considered. The boundary parameter defines some interactive information of HCE systems, such as skin temperature and inner garment temperature.Figure 10
The scene definition views of the app.
(a)
Scene definition (b)
Personal parameter (c)
Activity parameter


### 6.2. Server: Physiological Simulation and Comfort Prediction

Server side is used to handle the time-consuming and computing resource-intensive simulation task in HCE system. It takes scene parameters as input and outputs the body comfort sensation.The server receives input parameters from clients, and then numerical solutions are taken to solve the human physiological model, heat and moisture transfer model, and the interactive equations between body and clothing. After that, the server uses the simplified neurofuzzy inference system to carry out comfort evaluation and prediction. The simulated results such as human skin temperature, heart rate, sweat rate, and comfort sensation are generated. At last, all these results are transferred back to the smart devices. The data transmission between the client and the server is encapsulated as a customized file in XML format.


### 6.3. App Output: Results Visualization

A variety of graphical representations are used in our application to help users visualize the change of physiological state and comfort sensation. Figure11 shows the visualization screenshots of the app (corresponding to “Physiodata” in Figure 11(a) and “Comfort” in Figure 11(b)). Figure 11(a) shows the calculated physiological data, and Figure 11(b) displays the overall comfort sensation. The detailed information of comfort sensation can be obtained, and also some pieces of advice related to exercise comfort sensation are given.Figure 11
The views of simulation results.
(a)
Physiological data list (b)
Comfort result


## 6.1. App Input: Scene Parameters Definition

Various parameters in the scene of case study directly affect simulation results, and the different combination of scene parameters will produce different physiological state and comfort sensation. Four main types of scene parameters are defined, which are personal parameter, clothing parameter, activity parameter, and boundary parameter. Figure10(a) shows the list view of scene parameters, and Figures 10(b) and 10(c) are the detailed views. The personal parameter includes the gender, age, height, weight, and some specific human physiological parameters like the density of blood and specific heat of the body. Because these physiological parameters have small variations among individuals, they are preset with default values. If necessary, these specific physiological parameters can be input by customs themselves. The clothing parameter includes the clothing style, composition, and coverage rate. Besides, the fabric parameters like porosity, capillary angle, and heat transfer coefficients are also preset. The activity parameter contains environment and exercise settings. Temperature, humidity, wind velocity, and exercise type and duration are all considered. The boundary parameter defines some interactive information of HCE systems, such as skin temperature and inner garment temperature.Figure 10
The scene definition views of the app.
(a)
Scene definition (b)
Personal parameter (c)
Activity parameter


## 6.2. Server: Physiological Simulation and Comfort Prediction

Server side is used to handle the time-consuming and computing resource-intensive simulation task in HCE system. It takes scene parameters as input and outputs the body comfort sensation.The server receives input parameters from clients, and then numerical solutions are taken to solve the human physiological model, heat and moisture transfer model, and the interactive equations between body and clothing. After that, the server uses the simplified neurofuzzy inference system to carry out comfort evaluation and prediction. The simulated results such as human skin temperature, heart rate, sweat rate, and comfort sensation are generated. At last, all these results are transferred back to the smart devices. The data transmission between the client and the server is encapsulated as a customized file in XML format.


## 6.3. App Output: Results Visualization

A variety of graphical representations are used in our application to help users visualize the change of physiological state and comfort sensation. Figure11 shows the visualization screenshots of the app (corresponding to “Physiodata” in Figure 11(a) and “Comfort” in Figure 11(b)). Figure 11(a) shows the calculated physiological data, and Figure 11(b) displays the overall comfort sensation. The detailed information of comfort sensation can be obtained, and also some pieces of advice related to exercise comfort sensation are given.Figure 11
The views of simulation results.
(a)
Physiological data list (b)
Comfort result


## 7. Conclusion

During exercise, the heat balance of the human body is maintained by the processes of heat production and heat loss via radiation, conduction, convection, and evaporation. These processes would have effects on the physiological responses and influence the thermal status and comfort perception. In order to predict human thermophysiology comfort, in this paper, a heart rate regulation model is added to HCE system to simulate the human body thermal physiological behavior; according to this improved model, some important physiological parameters can be obtained. Further, in this paper, a novel thermophysiology comfort prediction model and a user-friendly mobile application for human comfort prediction are designed. The experiment results show that there is the same prediction trend on the experiment result and simulation result about thermophysiology comfort. The proposed exercise thermophysiology comfort prediction model still has some limitation. The thermal physiological mechanism needs to be researched to simulate the human physiological sensation further. We need to achieve and analyze more exercises and even investigate how to apply this simulation model and comfort model in the health services.



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*Source: 8586493-2016-12-15.xml*