技术领域technical field
本发明涉及体温测量技术领域,特别是涉及一种从额头温度估计体核温度的方法及其应用。The invention relates to the technical field of body temperature measurement, in particular to a method for estimating body core temperature from forehead temperature and its application.
背景技术Background technique
体温是进行新陈代谢和正常生命活动的必要条件,是反映人体健康状况的重要指标之一。人类是恒温动物,能在环境温度变化的情况下保持体温的相对稳定,健康成年人的体温范围是36.2℃-37.5℃,正常平均体温是37℃。人类某些疾病与体温有密切关系,因此体温是临床诊断和某些疾病预判的重要依据之一。人体结构比较复杂且各个部位的结构差异较大,人体的外周组织即表层,包括皮肤、皮下组织和肌肉等的温度称为体表温度(shelltemperature)机体深部(心、肺、脑和腹腔内脏等处)的温度称为体核温度(coretemperature)。在较寒冷的环境中,体核温度分布区域缩小,主要集中在头部与胸腹内脏,体表与体核之间存在明显的温度梯度,在炎热环境中,体核温度可扩展到四肢。Body temperature is a necessary condition for metabolism and normal life activities, and is one of the important indicators reflecting the health status of the human body. Human beings are endothermic animals, which can maintain a relatively stable body temperature in the case of environmental temperature changes. The body temperature range of healthy adults is 36.2°C-37.5°C, and the normal average body temperature is 37°C. Some human diseases are closely related to body temperature, so body temperature is one of the important basis for clinical diagnosis and prediction of certain diseases. The structure of the human body is relatively complex and the structure of each part is quite different. The temperature of the peripheral tissue of the human body is the surface layer, including the skin, subcutaneous tissue and muscles, etc. ) is called the core temperature. In a colder environment, the temperature distribution area of the body core shrinks, mainly concentrated in the head and thoracic and abdominal viscera, and there is an obvious temperature gradient between the body surface and the body core. In a hot environment, the body core temperature can extend to the limbs.
体表温度通常情况下受环境影响较大,因此对人的体温测量通常为腋窝、口腔、额头、直肠、腹股沟、背部肩胛区、颈部、耳鼓膜等处。根据测量位置的不同,通常采用的测量工具有水银温度计、电子体温计、红外体温计、红外热像仪等。上述体温测量方法中,由于受体外环境温湿度、空气对流等因素的影响,对体表温度的测量值不能代表体核温度。因此对体表温度直接测量值与真实体核温度存在较大差异。Body surface temperature is usually greatly affected by the environment, so body temperature is usually measured in the armpits, mouth, forehead, rectum, groin, back scapular area, neck, eardrum, etc. Depending on the measurement location, commonly used measurement tools include mercury thermometers, electronic thermometers, infrared thermometers, and thermal imaging cameras. In the above body temperature measurement method, due to the influence of factors such as temperature and humidity outside the body, air convection, etc., the measured value of the body surface temperature cannot represent the body core temperature. Therefore, there is a large difference between the direct measurement of body surface temperature and the real body core temperature.
人头部是一个复杂的系统,部内的中枢神经系统具有很高的代谢水平,有关文献说明头部产热量占人体总产热量10%,休息时大脑单位质量产热量高于人体其他部位平均产热量6倍。同时头部血管丰富、汗毛孔多而粗,因此也是人体高散热区,是人体散热的主体。日常生活中,额头是人体常见的体外温度测量部位之一,但早于受到环境温度的影响,通常与体核温度存在较大差异。The human head is a complex system, and the central nervous system in the interior has a very high metabolic level. According to relevant literature, the heat produced by the head accounts for 10% of the total heat produced by the human body. 6 times the heat. At the same time, the head has rich blood vessels and thick sweat pores, so it is also a high heat dissipation area of the human body and is the main body of human body heat dissipation. In daily life, the forehead is one of the common external temperature measurement parts of the human body, but it is affected by the ambient temperature earlier, and usually has a large difference from the body core temperature.
发明内容Contents of the invention
鉴于以上所述现有技术的缺点,本发明的目的在于提供一种从额头温度估计体核温度的方法及其应用,克服传统额头测量方法不能准确反映体核温度的缺陷,并能够在高温及低温环境下通过额头表面温度估计体核温度,对通过额温计算体核温度及疫情防控中的非接触式红外测温具有重要意义。In view of the shortcomings of the prior art described above, the purpose of the present invention is to provide a method for estimating body core temperature from the forehead temperature and its application, which overcomes the defect that the traditional forehead measurement method cannot accurately reflect the body core temperature, and can be used at high temperatures and Estimating the body core temperature from the forehead surface temperature in a low temperature environment is of great significance for calculating the body core temperature through the forehead temperature and non-contact infrared temperature measurement in epidemic prevention and control.
为实现上述目的及其他相关目的,本发明第一方面提供一种从额头温度估计体核温度的方法,包括如下步骤:In order to achieve the above purpose and other related purposes, the first aspect of the present invention provides a method for estimating body core temperature from forehead temperature, comprising the following steps:
(1)对人额头组织结构进行分层,从外至内分为三层,分别为:额头皮肤组织、额头头骨、脑组织;设额头皮肤组织厚度为H1,额头头骨组织厚度为H2,以空气温度代表环境温度,脑组织内部温度为体核温度;(1) The tissue structure of the forehead is divided into three layers from the outside to the inside, namely: forehead skin tissue, forehead skull, and brain tissue; the thickness of the forehead skin tissue is H1 , and the thickness of the forehead skull tissue is H2 , the air temperature represents the ambient temperature, and the internal temperature of the brain tissue is the core temperature;
(2)假设额头皮肤组织、额头头骨、脑组织均为均匀组织,采用pennes模型对所述额头分层结构进行有限元建模分析,pennes模型数学表达式为:(2) Assuming that the forehead skin tissue, forehead skull, and brain tissue are uniform tissues, the pennes model is used to carry out finite element modeling analysis on the forehead layered structure, and the mathematical expression of the pennes model is:
其中,ωb(kg/m3)、c[(j/kg·k)]、k(w/m·k)分别为组织的密度、比热及热导率热导率;Among them, ωb (kg/m3 ), c[(j/kg·k)], k(w/m·k) are the density, specific heat and thermal conductivity of the tissue, respectively;
(3)有限元建模分析参数:采用自由面体网格对额头组织结构分层模型进行划分,并设置边界条件:脑组织温度为37℃、空气温度范围为-40℃~50℃;(3) Finite element modeling and analysis parameters: the forehead tissue structure hierarchical model is divided by free-surface mesh, and the boundary conditions are set: the brain tissue temperature is 37°C, and the air temperature range is -40°C to 50°C;
(4)设体核温度与额头温度差值为ΔT,环境温度为T,通过有限元分析软件,采用最小二乘法拟合建立环境温度对T与ΔT的对应关系:(4) Assuming that the difference between body core temperature and forehead temperature is ΔT, and the ambient temperature is T, through the finite element analysis software, the least square method is used to fit and establish the corresponding relationship between ambient temperature and T and ΔT:
ΔT=f(T) 式(2)ΔT=f(T) Formula (2)
(5)考虑人体体温调节系统对皮肤组织血流量影响,对式(2)修正,其影响大小为g(T),采用有限元分析方法并经人体体温调节系统修正得到环境温度对T与ΔT的对应关系为:(5) Considering the influence of the human body temperature regulation system on the blood flow of the skin tissue, the formula (2) is corrected, and the size of the influence is g(T), and the relationship between the ambient temperature and T and ΔT is obtained by using the finite element analysis method and corrected by the body temperature regulation system The corresponding relationship is:
ΔT=f(T)+g(T) 式(3)ΔT=f(T)+g(T) Formula (3)
(6)假设体核温度与舌下温度数值接近,在不同空气温度下测量N组人的额头温度和舌下温度,并计算测得的额头温度和舌下温度的差值ΔTN,联合式(3)得:(6) Assuming that the body core temperature is close to the sublingual temperature, measure the forehead temperature and sublingual temperature of N groups of people at different air temperatures, and calculate the difference ΔTN between the measured forehead temperature and sublingual temperature, the joint formula (3) get:
gN(T)=ΔTN-fN(T) 式(4)gN (T)=ΔTN -fN (T) Formula (4)
(7)采用最小二乘法对gN(T)进行曲线拟合,得到g(T),将g(T)代入式(3)中,得到通过额温估计体核温度的模型;(7) Carry out curve fitting to gN (T) by the least squares method to obtain g (T), and substitute g (T) into formula (3) to obtain a model for estimating body core temperature through forehead temperature;
(8)通过额头温度估计体核温度的步骤为:测量环境温度T和额头温度T额,则体核温度为:T核=T额+f(T)+g(T)。(8) The step of estimating the body core temperature through the forehead temperature is: measure the ambient temperature T and theforehead temperature T, then the body core temperature is: Tcore =Tcore +f(T)+g(T).
进一步,所述步骤(2)中,各组织的热性能参数如下:Further, in the step (2), the thermal performance parameters of each tissue are as follows:
空气:恒压热容1.004[j/(kg·K)],密度1.29[kg/m3],热导率0.37[W/(m·K)];Air: constant pressure heat capacity 1.004[j/(kg K)], density 1.29[kg/m3 ], thermal conductivity 0.37[W/(m K)];
额头皮肤组织:恒压热容3391[j/(kg·K)],密度1109[kg/m3],热导率0.37[W/(m·K)];Forehead skin tissue: constant pressure heat capacity 3391[j/(kg·K)], density 1109[kg/m3 ], thermal conductivity 0.37[W/(m·K)];
额头头骨:恒压热容1313[j/(kg·K)],密度1908[kg/m3],热导率0.32[W/(m·K)];Forehead skull: constant pressure heat capacity 1313[j/(kg K)], density 1908[kg/m3 ], thermal conductivity 0.32[W/(m K)];
脑组织:恒压热容4200[j/(kg·K)],密度1000[kg/m3],热导率0.62[W/(m·K)]。Brain tissue: constant pressure heat capacity 4200[j/(kg·K)], density 1000[kg/m3 ], thermal conductivity 0.62[W/(m·K)].
进一步,所述步骤(3)中,采用自由面体网格对额头组织分层模型进行划分时,网格大小为1mm,最小单元大小为0.5mm,最大单元增长率为0.5,曲率因子0.6。Further, in the step (3), when the forehead tissue layered model is divided by free-surface meshes, the grid size is 1mm, the minimum unit size is 0.5mm, the maximum unit growth rate is 0.5, and the curvature factor is 0.6.
进一步,所述步骤(6)和(8)中,额头温度的测量方法采用热红外方法。Further, in the steps (6) and (8), the measurement method of the forehead temperature adopts a thermal infrared method.
进一步,所述步骤(6)和(8)中,测量装置为红外线体温计和/或红外线成像仪。采用红外线热成像仪测量时取最大值为额头温度,测量装置不限于上述两种装置。Further, in the steps (6) and (8), the measuring device is an infrared thermometer and/or an infrared imager. When using an infrared thermal imager to measure, take the maximum value as the forehead temperature, and the measuring device is not limited to the above two devices.
进一步,所述步骤(6)中,舌下温度的测量装置为水银温度计,但测量装置不限于水银温度计。Further, in the step (6), the measuring device for sublingual temperature is a mercury thermometer, but the measuring device is not limited to a mercury thermometer.
本发明第二方面提供根据第一方面所述的从额头温度估计体核温度的方法在人体体核温度测量上的应用。The second aspect of the present invention provides the application of the method for estimating body core temperature from forehead temperature according to the first aspect to the measurement of human body core temperature.
如上所述,本发明的从额头温度估计体核温度的方法及其应用,具有以下有益效果:As mentioned above, the method and application of the present invention for estimating body core temperature from forehead temperature have the following beneficial effects:
本发明基于pennes生物传热模型,建立人额头“颅内-颅骨-皮肤及软组织-空气”有限元传热模型,采用有限元分析方法分析环境温度和额头温度的对应关系,同时考虑了人体体温调节系统对皮肤及软组织血流量及温度影响,建立了体核温度的计算模型,采用该计算模型可在不同环境温度下将额头温度转换为体核温度。Based on the Pennes biological heat transfer model, the present invention establishes a finite element heat transfer model of the human forehead "intracranium-skull-skin and soft tissue-air", adopts the finite element analysis method to analyze the corresponding relationship between the ambient temperature and the forehead temperature, and considers the body temperature at the same time Adjusting the influence of the system on the blood flow and temperature of the skin and soft tissues, a calculation model of body core temperature is established, and the forehead temperature can be converted into body core temperature under different ambient temperatures by using this calculation model.
本发明克服了传统额头测量方法不能准确反映体核温度的缺陷,并能够在高温及低温环境下通过额头温度估计体核温度,对通过额温计算体核温度及疫情防控中非接触式红外测温具有重要意义。The invention overcomes the defect that the traditional forehead measurement method cannot accurately reflect the core temperature of the body, and can estimate the core temperature through the forehead temperature in high-temperature and low-temperature environments. Temperature measurement is of great significance.
附图说明Description of drawings
图1显示为本发明实施例中额头组织结构分层图。Fig. 1 shows the hierarchical diagram of forehead tissue structure in the embodiment of the present invention.
图2显示为本发明实施例中有限元分析的流程图。Fig. 2 is a flow chart of finite element analysis in the embodiment of the present invention.
图3显示为本发明实施例中环境温度对T(环境温度)与ΔT(体核温度和额头温度差值)的拟合曲线图。Fig. 3 shows a fitting curve diagram of ambient temperature versus T (ambient temperature) and ΔT (difference between body core temperature and forehead temperature) in an embodiment of the present invention.
具体实施方式Detailed ways
以下通过特定的具体实例说明本发明的实施方式,本领域技术人员可由本说明书所揭露的内容轻易地了解本发明的其他优点与功效。本发明还可以通过另外不同的具体实施方式加以实施或应用,本说明书中的各项细节也可以基于不同观点与应用,在没有背离本发明的精神下进行各种修饰或改变。Embodiments of the present invention are described below through specific examples, and those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific implementation modes, and various modifications or changes can be made to the details in this specification based on different viewpoints and applications without departing from the spirit of the present invention.
人头部是一个复杂的系统,部内的中枢神经系统具有很高的代谢水平,有关文献说明头部产热量占人体总产热量10%,休息时大脑单位质量产热量高于人体其他部位平均产热量6倍。同时头部血管丰富、汗毛孔多而粗,因此也是人体高散热区,是人体散热的主体。额头是人体常见的体外温度测量部位之一,但早于受到环境温度的影响,通常与体核温度存在差异。The human head is a complex system, and the central nervous system in the interior has a very high metabolic level. According to relevant literature, the heat produced by the head accounts for 10% of the total heat produced by the human body. 6 times the heat. At the same time, the head has rich blood vessels and thick sweat pores, so it is also a high heat dissipation area of the human body and is the main body of human body heat dissipation. The forehead is one of the common external temperature measurement parts of the human body, but it is affected by the ambient temperature earlier, and it is usually different from the core temperature.
本发明基于pennes生物传热模型,建立人额头“颅内-颅骨-皮肤及软组织-空气”有限元传热模型,采用有限元分析方法分析环境温度和额头温度的对应关系,同时考虑了人体体温调节系统对皮肤及软组织血流量及温度影响,建立了体核温度的计算模型,采用该计算模型可在不同环境温度下将额头温度转换为体核温度。Based on the Pennes biological heat transfer model, the present invention establishes a finite element heat transfer model of the human forehead "intracranium-skull-skin and soft tissue-air", adopts the finite element analysis method to analyze the corresponding relationship between the ambient temperature and the forehead temperature, and considers the body temperature at the same time Adjusting the influence of the system on the blood flow and temperature of the skin and soft tissues, a calculation model of body core temperature is established, and the forehead temperature can be converted into body core temperature under different ambient temperatures by using this calculation model.
本发明克服了传统额头测量方法不能准确反映体核温度的缺陷,并能够在高温及低温环境下通过额头温度估计体核温度,对通过额温计算体核温度及疫情防控中非接触式红外测温具有重要意义。The invention overcomes the defect that the traditional forehead measurement method cannot accurately reflect the core temperature of the body, and can estimate the core temperature through the forehead temperature in high-temperature and low-temperature environments. Temperature measurement is of great significance.
本发明从额头温度估计体核温度的方法具体如下:The method for estimating body core temperature from forehead temperature in the present invention is specifically as follows:
(1)如图1所示,根据人体解剖结构及与环境传热关系构建一个包括空气、额头皮肤组织、额头头骨、脑组织(含脑膜)的额头分层结构。(1) As shown in Figure 1, construct a forehead hierarchical structure including air, forehead skin tissue, forehead skull, and brain tissue (including meninges) according to the anatomical structure of the human body and the heat transfer relationship with the environment.
(2)对人额头结构行析近似:额头皮肤组织厚度为H1,头骨组织厚度为H2。空气温度代表为环境温度,脑组织内部温度为体核温度。(2) Approximate analysis of human forehead structure: the thickness of forehead skin tissue is H1 , and the thickness of skull tissue is H2 . The air temperature is represented as the ambient temperature, and the internal temperature of the brain tissue is represented as the core temperature.
说明:为了方便仿真,将外部空气(无边界)、额头部分颅骨外部的肉(厚度为H1)、颅骨厚度(厚度为H2),颅骨内部(即大脑),共四层。其中空气和大脑认为是没边界的。Explanation: For the convenience of simulation, the external air (no boundary), the flesh outside the forehead part of the skull (thickness is H1), the thickness of the skull (thickness is H2), and the inside of the skull (ie, the brain), a total of four layers. Among them, the air and the brain are considered to have no boundaries.
(3)采用pennes模型对上述分层结构进行有限元建模:(3) The Pennes model is used to carry out finite element modeling of the above layered structure:
生物组织的传热是一个复杂的过程,生物传热应用研究中,应用最广泛的是Pennes热传导方程,其数学表达式为:The heat transfer of biological tissues is a complex process. In the applied research of biological heat transfer, the most widely used is the Pennes heat conduction equation, whose mathematical expression is:
其中,Δ2是二阶三微分算子,T、ρ、c、k分别是组织的温度、密度、比热及热导率,Cb为血液比热,Wb为血液灌注率,qm为组织的代谢产热率,取值为常数,Tb为动脉血温,qr为外部热源供热量。Among them,Δ2 is the second-order three-differential operator, T, ρ, c, k are the temperature, density, specific heat and thermal conductivity of the tissue respectively, Cb is the specific heat of blood, Wb is the blood perfusion rate, qm T is the metabolic heat production rate of the tissue, and the value is a constant, Tb is the arterial blood temperature, and qr is the heat supplied by the external heat source.
(4)假设额头皮肤组织、额头头骨、脑组织均为均匀组织,各组织的具体热性能参数如下:(4) Assuming that the forehead skin tissue, forehead skull, and brain tissue are uniform tissues, the specific thermal performance parameters of each tissue are as follows:
表1Table 1
(5)采用有限元建模分析步骤为:(5) The analysis steps using finite element modeling are as follows:
a、如图2-A所示,对额头部分建立4层结构的几何结构(从上到下分别为空气、额头皮肤组织、头骨组织、颅内脑组织),并将每层结构认为其为均匀材料/组织。a. As shown in Figure 2-A, establish a geometric structure of 4 layers for the forehead (from top to bottom are air, forehead skin tissue, skull tissue, and intracranial brain tissue), and consider each layer structure as Homogeneous material/tissue.
b、网格划分是进行有限元分析和计算的前提,网格划分的质量对有限元计算的精度和计算效率都有着最为直接的影响,对于大变形的情况甚至影响到解的收敛性。b. Mesh division is the premise of finite element analysis and calculation. The quality of grid division has the most direct impact on the accuracy and efficiency of finite element calculation, and even affects the convergence of the solution in the case of large deformation.
如图2-B所示,采用自由面体网格对额头模型进行划分,网格大小1mm,最小单元大小0.5mm,最大单元增长率0.5,曲率因子0.6。As shown in Figure 2-B, the forehead model is divided by a free-surface mesh, with a mesh size of 1mm, a minimum element size of 0.5mm, a maximum element growth rate of 0.5, and a curvature factor of 0.6.
c、如图2-C所示,边界条件设置:脑组织温度为体核心温度,其值为37℃;空气温度范围为-40℃~50℃;采用“稳态”方法进行研究,即认为某一时刻额头温度稳定。c. As shown in Figure 2-C, the boundary conditions are set: the temperature of the brain tissue is the core temperature of the body, and its value is 37°C; the air temperature range is -40°C to 50°C; At a certain moment, the temperature of the forehead stabilizes.
(6)设体核温度与额头温度差值为ΔT,环境温度为T,通过有限元分析软件,采用最小二乘法拟合建立环境温度对T和ΔT的对应关系:(6) Assuming that the difference between body core temperature and forehead temperature is ΔT, and the ambient temperature is T, through the finite element analysis software, adopt the least square method to fit and establish the corresponding relationship between ambient temperature and T and ΔT:
ΔT=f(T) 式(2)ΔT=f(T) Formula (2)
(7)考虑人体体温调节系统对皮肤组织血流量影响,对式(2)修正,其影响大小为g(T)。采用有限元分析方法并经人体体温调节系统修正得到环境温度对ΔT(体核温度与额头温度差值)和T(环境温度)的对应关系为:(7) Considering the influence of the body temperature regulation system on the blood flow of the skin tissue, the formula (2) is corrected, and the magnitude of the influence is g(T). Using the finite element analysis method and correcting the body temperature regulation system, the corresponding relationship between the ambient temperature and ΔT (the difference between the core temperature and the forehead temperature) and T (the ambient temperature) is obtained as follows:
ΔT=f(T)+g(T) 式(3)ΔT=f(T)+g(T) Formula (3)
即:ΔT=ΔT1+ΔT2Namely: ΔT=ΔT1 +ΔT2
(8)在不同环境温度(即空气温度)下(Tmin,Tmax)下测量N组人的额头温度,测量方法采用热红外方法(红外线体温计或红外热成像仪),其中采用红外线热成像仪测量时取实际测量的最大值为额头温度,测量装置不限于上述两种装置。(8) Measure the forehead temperature of N groups of people at different ambient temperatures (i.e. air temperature) (Tmin , Tmax ). When measuring with the instrument, the maximum value actually measured is taken as the forehead temperature, and the measuring device is not limited to the above two devices.
(9)假设颅内温度和舌下温度值接近,都为体核温度。采用水银温度计舌下温度,并以此温度值代表体核温度,测量装置不限于水银温度计。计算步骤(8)测得的额头温度和步骤(9)测量的舌下温度的差值,计为ΔTN,联合式(3)得:(9) Assume that the intracranial temperature and the sublingual temperature are close in value, both of which are body core temperature. Sublingual temperature with a mercury thermometer is used, and this temperature value represents the body core temperature. The measuring device is not limited to a mercury thermometer. Calculate the difference between the forehead temperature measured in step (8) and the sublingual temperature measured in step (9), which is calculated as ΔTN , and combined with formula (3):
gN(T)=ΔTN-fN(T) 式(4)gN (T)=ΔTN -fN (T) Formula (4)
(10)采用最小二乘法拟合对gN(T)进行曲线拟合,得到g(T),将g(T)代入式(3)中,得到通过额温估计体核温度的模型:ΔT=f(T)+g(T)。(10) Use the least squares method to fit the curve of gN (T) to obtain g(T), and substitute g(T) into formula (3) to obtain a model for estimating body core temperature through forehead temperature: ΔT =f(T)+g(T).
(11)通过额头温度估计体核温度的步骤为:(11) The steps for estimating body core temperature through forehead temperature are:
a、测量环境温度T;a. Measure the ambient temperature T;
b、采用测温装置测量额头温度T额,则体核温度为:T核=T额+f(T)+g(T)。b. Use a temperature measuring device to measure theforehead temperature T, then the body core temperature is: Tnucleus = Tforehead + f(T) + g(T).
上述实施例仅例示性说明本发明的原理及其功效,而非用于限制本发明。任何熟悉此技术的人士皆可在不违背本发明的精神及范畴下,对上述实施例进行修饰或改变。因此,举凡所属技术领域中具有通常知识者在未脱离本发明所揭示的精神与技术思想下所完成的一切等效修饰或改变,仍应由本发明的权利要求所涵盖。The above-mentioned embodiments only illustrate the principles and effects of the present invention, but are not intended to limit the present invention. Anyone skilled in the art can modify or change the above-mentioned embodiments without departing from the spirit and scope of the present invention. Therefore, all equivalent modifications or changes made by those skilled in the art without departing from the spirit and technical ideas disclosed in the present invention should still be covered by the claims of the present invention.
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| CN202011498969.8ACN112487692B (en) | 2020-12-16 | 2020-12-16 | A method for estimating body core temperature from forehead temperature and its application |
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| CN202011498969.8ACN112487692B (en) | 2020-12-16 | 2020-12-16 | A method for estimating body core temperature from forehead temperature and its application |
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