The valence states and coordination structures of doped heterometal atoms in two-dimensional(2D)nanomaterials lack predictable regulation strategies.Hence,a robust method is proposed to form unsaturated heteroatom clu...The valence states and coordination structures of doped heterometal atoms in two-dimensional(2D)nanomaterials lack predictable regulation strategies.Hence,a robust method is proposed to form unsaturated heteroatom clusters via the metal-vacancy restraint mechanism,which can precisely regulate the bonding and valence state of heterometal atoms doped in 2D molybdenum disulfide.The unsaturated valence state of heterometal Pt and Ru cluster atoms form a spatial coordination structure with Pt–S and Ru–O–S as catalytically active sites.Among them,the strong binding energy of negatively charged suspended S and O sites for H+,as well as the weak adsorption of positively charged unsaturated heterometal atoms for H*,reduces the energy barrier of the hydrogen evolution reaction proved by theoretical calculation.Whereupon,the electrocatalytic hydrogen evolution performance is markedly improved by the ensemble effect of unsaturated heterometal atoms and highlighted with an overpotential of 84 mV and Tafel slope of 68.5 mV dec^(−1).In brief,this metal vacancy-induced valence state regulation of heterometal can manipulate the coordination structure and catalytic activity of heterometal atoms doped in the 2D atomic lattice but not limited to 2D nanomaterials.展开更多
The gut microbiota works in unison with the host,promoting its health.In particular,it has been shown to exert protective,metabolic and structural functions.Recent evidence has revealed the influence of the gut microb...The gut microbiota works in unison with the host,promoting its health.In particular,it has been shown to exert protective,metabolic and structural functions.Recent evidence has revealed the influence of the gut microbiota on other organs such as the central nervous system,cardiovascular and the endocrine-metabolic systems and the digestive system.The study of the gut microbiota is outlining new and broader frontiers every day and holds enormous innovation potential for the medical and pharmaceutical fields.Prevention and treatment of specific women’s diseases involves the need to deepen the function of the gut as a junction organ where certain positive bacteria can be very beneficial to health.The gut microbiota is unique and dynamic at the same time,subject to external factors that can change it,and is capable of modulating itself at different stages of a woman’s life,playing an important role that arises from the intertwining of biological mechanisms between the microbiota and the female genital system.The gut microbiota could play a key role in personalized medicine.展开更多
As x-ray probe pulses approach the subfemtosecond range,conventional x-ray photoelectron spectroscopy(XPS)is expected to experience a reduction in spectral resolution due to the effects of the pulse broadening.However...As x-ray probe pulses approach the subfemtosecond range,conventional x-ray photoelectron spectroscopy(XPS)is expected to experience a reduction in spectral resolution due to the effects of the pulse broadening.However,in the case of resonant x-ray photoemission,also known as resonant Auger scattering(RAS),the spectroscopic technique maintains spectral resolution when an x-ray pulse is precisely tuned to a core-excited state.We present theoretical simulations of XPS and RAS spectra on a showcased CO molecule using ultrashort x-ray pulses,revealing significantly enhanced resolution in the RAS spectra compared to XPS,even in the subfemtosecond regime.These findings provide a novel perspective on potential utilization of attosecond x-ray pulses,capitalizing on the well-established advantages of detecting electron signals for tracking electronic and molecular dynamics.展开更多
Li-air batteries have attracted extensive attention because of their ultrahigh theoretical energy density. However, the potential safety hazard of flammable organic liquid electrolytes hinders their practical applicat...Li-air batteries have attracted extensive attention because of their ultrahigh theoretical energy density. However, the potential safety hazard of flammable organic liquid electrolytes hinders their practical applications. Replacing liquid electrolytes with solidstate electrolytes(SSEs) is expected to fundamentally overcome the safety issues. In this work, we focus on the development and challenge of solid-state Li-air batteries(SSLABs). The rise of different types of SSEs, interfacial compatibility and verifiability in SSLABs are presented. The corresponding strategies and prospects of SSLABs are also proposed. In particular, combining machine learning method with experiment and in situ(or operando)techniques is imperative to accelerate the development of SSLABs.展开更多
The present paper aims at validating a Model Predictive Control(MPC),based on the Mixed Logical Dynamical(MLD)model,for Hybrid Dynamic Systems(HDSs)that explicitly involve continuous dynamics and discrete events.The p...The present paper aims at validating a Model Predictive Control(MPC),based on the Mixed Logical Dynamical(MLD)model,for Hybrid Dynamic Systems(HDSs)that explicitly involve continuous dynamics and discrete events.The proposed benchmark system is a three-tank process,which is a typical case study of HDSs.The MLD-MPC controller is applied to the level control of the considered tank system.The study is initially focused on the MLD approach that allows consideration of the interacting continuous dynamics with discrete events and includes the operating constraints.This feature of MLD modeling is very advantageous when an MPC controller synthesis for the HDSs is designed.Once the MLD model of the system is well-posed,then the MPC law synthesis can be developed based on the Mixed Integer Programming(MIP)optimization problem.For solving this MIP problem,a Branch and Bound(B&B)algorithm is proposed to determine the optimal control inputs.Then,a comparative study is carried out to illustrate the effectiveness of the proposed hybrid controller for the HDSs compared to the standard MPC approach.Performances results show that the MLD-MPC approach outperforms the standardMPCone that doesn’t consider the hybrid aspect of the system.The paper also shows a behavioral test of the MLDMPC controller against disturbances deemed as liquid leaks from the system.The results are very satisfactory and show that the tracking error is minimal less than 0.1%in nominal conditions and less than 0.6%in the presence of disturbances.Such results confirm the success of the MLD-MPC approach for the control of the HDSs.展开更多
It was estimated that from 2002 to 2008 the risk of developing cancer increased a quarter-fold in men and twofold in women due to excessive BMI.Obesity,metabolic syndrome and type 2 diabetes mellitus are strictly rela...It was estimated that from 2002 to 2008 the risk of developing cancer increased a quarter-fold in men and twofold in women due to excessive BMI.Obesity,metabolic syndrome and type 2 diabetes mellitus are strictly related and are key pathogenetic factors of non-alcoholic fatty liver disease(NAFLD),the most frequent liver disease worldwide.The most important consequence of the"metabolic epidemics"is the probable rise in the incidence of hepatocarcinoma(HCC),and NAFLD is the major causative factor.Adipose tissue is not merely a storage organ where lipids are preserved as an energy source.It is an active organ with important endocrine,paracrine,and autocrine actions in addition to immune functions.Adipocytes produce a wide range of hormones,cytokines,and growth factors that can act locally in the adipose tissue microenvironment and systemically.In this article,the main roles of insulin growth factor(IGF)-1 and IGF-2 are discussed.The role of IGF-2 is not only confined to HCC,but it may also act in early hepato-carcinogenesis,as preneoplastic lesions express IGF-2 mRNA.IGF-1 and IGF-2interact with specific receptors(IGF-1R and IGF-2R).IGF-1R is over-expressed in in vitro and in animal models of HCC and it was demonstrated that IGF ligands exerted their effects on HCC cells through IGF-1R and that it was involved in the degeneration of pre-neoplastic lesions via an increase in their mitotic activity.Both IGF-2R and TGFβ,a growth inhibitor,levels are reduced in human HCC compared with adjacent normal liver tissues.Another key mechanism involves peroxisome proliferator-activated receptor(PPAR)γ.In in vitro studies,PPARγinhibited various carcinomas including HCC,most probably by regulating apoptosis via the p21,p53 and p27 pathways.Finally,as a clinical consequence,to improve survival,efforts to achieve a"healthier diet"should be promoted by physicians and politicians.展开更多
An epoxy-terminated hyperbranched aromatic polyester (P3) was synthesized from a hyperbranched aromatic polyester containing carboxylic acid end groups (P1), which was derived from the condensation polymerization of t...An epoxy-terminated hyperbranched aromatic polyester (P3) was synthesized from a hyperbranched aromatic polyester containing carboxylic acid end groups (P1), which was derived from the condensation polymerization of the AB(2) monomer, 5-acetoxyisophthalic acid. Polymer P1 was converted into the polymeric acid chloride by reaction with thionyl chloride. The acid chloride was reacted with ethanol and glycidol to form a poly(ethyl ester) (P2) and an epoxy terminated material (P3), respectively. The reaction conditions in each step of these processes had to be controlled very carefully to avoid unwanted cross-linking reactions. The characterization of products and intermediates, including molecular weight distributions and thermal properties, are reported.展开更多
AIM: To investigate spleen status in psoriasis and itsrelationship with hepatic steatosis, Psoriasis Area and Severity Index, and insulin resistance.METHODS: Seventy-nine psoriatic patients who were not suffering from...AIM: To investigate spleen status in psoriasis and itsrelationship with hepatic steatosis, Psoriasis Area and Severity Index, and insulin resistance.METHODS: Seventy-nine psoriatic patients who were not suffering from any chronic inflammatory disease were retrospectively selected for inclusion in this study,and their complete medical records were accessed.An age- and sex-matched group of 80 non-psoriatic,obese patients was included as a control. The following relevant data were collected: age, sex, weight, height,body mass index, waist circumference, blood pressure,insulin resistance status, age at psoriasis onset, and severity of psoriasis. Abdominal ultrasonography was performed to determine spleen longitudinal diameter(SLD), and hepatic steatosis grade.RESULTS: The SLD of control obese patients was greater than that of psoriatic subjects(P = 0.013),but body mass index predicted the size of the spleen in psoriatic patients(P < 0.001). The SLD of psoriatic patients with normal weight was significantly reduced with respect to the overweight/obese psoriatic patients(P = 0.002). A multiple regression analysis revealed that body mass index was a unique predictor of the spleen size(P < 0.001). Finally, the disease duration predicted the spleen size in psoriatic subjects(P =0.038).CONCLUSION: This study shows a correlation between the SLD and the duration of psoriasis.展开更多
It has been reported that electron-rotation coupling plays a significant role in diatomic nuclear dynamics induced by intense VUV pulses [Phys. Rev. A 102(2020) 033114;Phys. Rev. Res. 2(2020) 043348]. As a further ste...It has been reported that electron-rotation coupling plays a significant role in diatomic nuclear dynamics induced by intense VUV pulses [Phys. Rev. A 102(2020) 033114;Phys. Rev. Res. 2(2020) 043348]. As a further step, we present here investigations of the electron-rotation coupling effect in the presence of Auger decay channel for core-excited molecules, based on theoretical modeling of the total electron yield(TEY), resonant Auger scattering(RAS) and x-ray absorption spectra(XAS) for two showcases of CO and CH^(+) molecules excited by resonant intense x-ray pulses. The Wigner D-functions and the universal transition dipole operators are introduced to include the electron-rotation coupling for the core-excitation process. It is shown that with the pulse intensity up to 10^(16) W/cm^(2), no sufficient influence of the electron-rotation coupling on the TEY and RAS spectra can be observed. This can be explained by a suppression of the induced electron-rotation dynamics due to the fast Auger decay channel, which does not allow for effective Rabi cycling even at extreme field intensities,contrary to transitions in optical or VUV range. For the case of XAS, however, relative errors of about 10% and 30% are observed for the case of CO and CH^(+), respectively, when the electron-rotation coupling is neglected.It is concluded that conventional treatment of the photoexcitation, neglecting the electron-rotation coupling,can be safely and efficiently employed to study dynamics at the x-ray transitions by means of electron emission spectroscopy, yet the approximation breaks down for nonlinear processes as stimulated emission, especially for systems with light atoms.展开更多
The results of the development of the new fast-speed method of classification images using a structural approach are presented.The method is based on the system of hierarchical features,based on the bitwise data distr...The results of the development of the new fast-speed method of classification images using a structural approach are presented.The method is based on the system of hierarchical features,based on the bitwise data distribution for the set of descriptors of image description.The article also proposes the use of the spatial data processing apparatus,which simplifies and accelerates the classification process.Experiments have shown that the time of calculation of the relevance for two descriptions according to their distributions is about 1000 times less than for the traditional voting procedure,for which the sets of descriptors are compared.The introduction of the system of hierarchical features allows to further reduce the calculation time by 2–3 times while ensuring high efficiency of classification.The noise immunity of the method to additive noise has been experimentally studied.According to the results of the research,the marginal degree of the hierarchy of features for reliable classification with the standard deviation of noise less than 30 is the 8-bit distribution.Computing costs increase proportionally with decreasing bit distribution.The method can be used for application tasks where object identification time is critical.展开更多
Ophthalmologists rely on a device known as the Goldmann applanation tonometer to make intraocular pressure (IOP) measurements. It measures the force required to press a flat disc against the cornea to produce a flatte...Ophthalmologists rely on a device known as the Goldmann applanation tonometer to make intraocular pressure (IOP) measurements. It measures the force required to press a flat disc against the cornea to produce a flattened circular region of known area. The IOP is deduced from this force using the Imbert-Fick principle. However, there is scant analytical justification for this analysis. We present a mathematical model of tonometry to investigate the relationship between the pressure derived by tonometry and the IOP. An elementary equilibrium analysis suggests that there is no physical basis for traditional tonometric analysis. Tonometry is modelled using a hollow spherical shell of solid material enclosing an elastic liquid core, with the shell in tension and the core under pressure. The shell is pressed against a rigid flat plane. The solution is found using finite element analysis. The shell material is anisotropic. Values for its elastic constants are obtained from literature except where data are unavailable, when reasonable limits are explored. The results show that the force measured by the Goldmann tonometer depends on the elastic constant values. The relationship between the IOP and the tonometer readings is complex, showing potentially high levels of inaccuracy that depend on IOP.展开更多
基金supported by the National Natural Science Foundation of China(22205209,52202373 and U21A200972)China Postdoctoral Science Foundation(2022M722867)Key Research Project of Higher Education Institutions in Henan Province(23A530001)。
文摘The valence states and coordination structures of doped heterometal atoms in two-dimensional(2D)nanomaterials lack predictable regulation strategies.Hence,a robust method is proposed to form unsaturated heteroatom clusters via the metal-vacancy restraint mechanism,which can precisely regulate the bonding and valence state of heterometal atoms doped in 2D molybdenum disulfide.The unsaturated valence state of heterometal Pt and Ru cluster atoms form a spatial coordination structure with Pt–S and Ru–O–S as catalytically active sites.Among them,the strong binding energy of negatively charged suspended S and O sites for H+,as well as the weak adsorption of positively charged unsaturated heterometal atoms for H*,reduces the energy barrier of the hydrogen evolution reaction proved by theoretical calculation.Whereupon,the electrocatalytic hydrogen evolution performance is markedly improved by the ensemble effect of unsaturated heterometal atoms and highlighted with an overpotential of 84 mV and Tafel slope of 68.5 mV dec^(−1).In brief,this metal vacancy-induced valence state regulation of heterometal can manipulate the coordination structure and catalytic activity of heterometal atoms doped in the 2D atomic lattice but not limited to 2D nanomaterials.
文摘The gut microbiota works in unison with the host,promoting its health.In particular,it has been shown to exert protective,metabolic and structural functions.Recent evidence has revealed the influence of the gut microbiota on other organs such as the central nervous system,cardiovascular and the endocrine-metabolic systems and the digestive system.The study of the gut microbiota is outlining new and broader frontiers every day and holds enormous innovation potential for the medical and pharmaceutical fields.Prevention and treatment of specific women’s diseases involves the need to deepen the function of the gut as a junction organ where certain positive bacteria can be very beneficial to health.The gut microbiota is unique and dynamic at the same time,subject to external factors that can change it,and is capable of modulating itself at different stages of a woman’s life,playing an important role that arises from the intertwining of biological mechanisms between the microbiota and the female genital system.The gut microbiota could play a key role in personalized medicine.
基金supported by the National Natural Science Foundation of China(Grant Nos.11934004 and 11974230)Russian Science Foundation(Grant No.21-12-00193)。
文摘As x-ray probe pulses approach the subfemtosecond range,conventional x-ray photoelectron spectroscopy(XPS)is expected to experience a reduction in spectral resolution due to the effects of the pulse broadening.However,in the case of resonant x-ray photoemission,also known as resonant Auger scattering(RAS),the spectroscopic technique maintains spectral resolution when an x-ray pulse is precisely tuned to a core-excited state.We present theoretical simulations of XPS and RAS spectra on a showcased CO molecule using ultrashort x-ray pulses,revealing significantly enhanced resolution in the RAS spectra compared to XPS,even in the subfemtosecond regime.These findings provide a novel perspective on potential utilization of attosecond x-ray pulses,capitalizing on the well-established advantages of detecting electron signals for tracking electronic and molecular dynamics.
基金supported by National Key Research and Development Program of China (No.2021YFF0500600)NSFC (22279120)Key R&D projects in Henan Province (221111240100)。
文摘Li-air batteries have attracted extensive attention because of their ultrahigh theoretical energy density. However, the potential safety hazard of flammable organic liquid electrolytes hinders their practical applications. Replacing liquid electrolytes with solidstate electrolytes(SSEs) is expected to fundamentally overcome the safety issues. In this work, we focus on the development and challenge of solid-state Li-air batteries(SSLABs). The rise of different types of SSEs, interfacial compatibility and verifiability in SSLABs are presented. The corresponding strategies and prospects of SSLABs are also proposed. In particular, combining machine learning method with experiment and in situ(or operando)techniques is imperative to accelerate the development of SSLABs.
文摘The present paper aims at validating a Model Predictive Control(MPC),based on the Mixed Logical Dynamical(MLD)model,for Hybrid Dynamic Systems(HDSs)that explicitly involve continuous dynamics and discrete events.The proposed benchmark system is a three-tank process,which is a typical case study of HDSs.The MLD-MPC controller is applied to the level control of the considered tank system.The study is initially focused on the MLD approach that allows consideration of the interacting continuous dynamics with discrete events and includes the operating constraints.This feature of MLD modeling is very advantageous when an MPC controller synthesis for the HDSs is designed.Once the MLD model of the system is well-posed,then the MPC law synthesis can be developed based on the Mixed Integer Programming(MIP)optimization problem.For solving this MIP problem,a Branch and Bound(B&B)algorithm is proposed to determine the optimal control inputs.Then,a comparative study is carried out to illustrate the effectiveness of the proposed hybrid controller for the HDSs compared to the standard MPC approach.Performances results show that the MLD-MPC approach outperforms the standardMPCone that doesn’t consider the hybrid aspect of the system.The paper also shows a behavioral test of the MLDMPC controller against disturbances deemed as liquid leaks from the system.The results are very satisfactory and show that the tracking error is minimal less than 0.1%in nominal conditions and less than 0.6%in the presence of disturbances.Such results confirm the success of the MLD-MPC approach for the control of the HDSs.
基金Project (2010DFA32270) supported by the Ministry of Science and Technology of China (International Science & Technology Cooperation Program of China) Project (51102090) supported by the National Natural Science Foundation of ChinaProject (NCET-12-0170) supported by the Program for New Century Excellent Talents in University of China
文摘It was estimated that from 2002 to 2008 the risk of developing cancer increased a quarter-fold in men and twofold in women due to excessive BMI.Obesity,metabolic syndrome and type 2 diabetes mellitus are strictly related and are key pathogenetic factors of non-alcoholic fatty liver disease(NAFLD),the most frequent liver disease worldwide.The most important consequence of the"metabolic epidemics"is the probable rise in the incidence of hepatocarcinoma(HCC),and NAFLD is the major causative factor.Adipose tissue is not merely a storage organ where lipids are preserved as an energy source.It is an active organ with important endocrine,paracrine,and autocrine actions in addition to immune functions.Adipocytes produce a wide range of hormones,cytokines,and growth factors that can act locally in the adipose tissue microenvironment and systemically.In this article,the main roles of insulin growth factor(IGF)-1 and IGF-2 are discussed.The role of IGF-2 is not only confined to HCC,but it may also act in early hepato-carcinogenesis,as preneoplastic lesions express IGF-2 mRNA.IGF-1 and IGF-2interact with specific receptors(IGF-1R and IGF-2R).IGF-1R is over-expressed in in vitro and in animal models of HCC and it was demonstrated that IGF ligands exerted their effects on HCC cells through IGF-1R and that it was involved in the degeneration of pre-neoplastic lesions via an increase in their mitotic activity.Both IGF-2R and TGFβ,a growth inhibitor,levels are reduced in human HCC compared with adjacent normal liver tissues.Another key mechanism involves peroxisome proliferator-activated receptor(PPAR)γ.In in vitro studies,PPARγinhibited various carcinomas including HCC,most probably by regulating apoptosis via the p21,p53 and p27 pathways.Finally,as a clinical consequence,to improve survival,efforts to achieve a"healthier diet"should be promoted by physicians and politicians.
基金The project is supported by the EPSRC and the Youth Science Foundation of Shanghai Higher Education.
文摘An epoxy-terminated hyperbranched aromatic polyester (P3) was synthesized from a hyperbranched aromatic polyester containing carboxylic acid end groups (P1), which was derived from the condensation polymerization of the AB(2) monomer, 5-acetoxyisophthalic acid. Polymer P1 was converted into the polymeric acid chloride by reaction with thionyl chloride. The acid chloride was reacted with ethanol and glycidol to form a poly(ethyl ester) (P2) and an epoxy terminated material (P3), respectively. The reaction conditions in each step of these processes had to be controlled very carefully to avoid unwanted cross-linking reactions. The characterization of products and intermediates, including molecular weight distributions and thermal properties, are reported.
文摘AIM: To investigate spleen status in psoriasis and itsrelationship with hepatic steatosis, Psoriasis Area and Severity Index, and insulin resistance.METHODS: Seventy-nine psoriatic patients who were not suffering from any chronic inflammatory disease were retrospectively selected for inclusion in this study,and their complete medical records were accessed.An age- and sex-matched group of 80 non-psoriatic,obese patients was included as a control. The following relevant data were collected: age, sex, weight, height,body mass index, waist circumference, blood pressure,insulin resistance status, age at psoriasis onset, and severity of psoriasis. Abdominal ultrasonography was performed to determine spleen longitudinal diameter(SLD), and hepatic steatosis grade.RESULTS: The SLD of control obese patients was greater than that of psoriatic subjects(P = 0.013),but body mass index predicted the size of the spleen in psoriatic patients(P < 0.001). The SLD of psoriatic patients with normal weight was significantly reduced with respect to the overweight/obese psoriatic patients(P = 0.002). A multiple regression analysis revealed that body mass index was a unique predictor of the spleen size(P < 0.001). Finally, the disease duration predicted the spleen size in psoriatic subjects(P =0.038).CONCLUSION: This study shows a correlation between the SLD and the duration of psoriasis.
基金Supported by the National Natural Science Foundation of China (Grant Nos.11934004,11974230,and 11904192)the Education of Russian Federation (Grant No.FSRZ-2020-0008)。
文摘It has been reported that electron-rotation coupling plays a significant role in diatomic nuclear dynamics induced by intense VUV pulses [Phys. Rev. A 102(2020) 033114;Phys. Rev. Res. 2(2020) 043348]. As a further step, we present here investigations of the electron-rotation coupling effect in the presence of Auger decay channel for core-excited molecules, based on theoretical modeling of the total electron yield(TEY), resonant Auger scattering(RAS) and x-ray absorption spectra(XAS) for two showcases of CO and CH^(+) molecules excited by resonant intense x-ray pulses. The Wigner D-functions and the universal transition dipole operators are introduced to include the electron-rotation coupling for the core-excitation process. It is shown that with the pulse intensity up to 10^(16) W/cm^(2), no sufficient influence of the electron-rotation coupling on the TEY and RAS spectra can be observed. This can be explained by a suppression of the induced electron-rotation dynamics due to the fast Auger decay channel, which does not allow for effective Rabi cycling even at extreme field intensities,contrary to transitions in optical or VUV range. For the case of XAS, however, relative errors of about 10% and 30% are observed for the case of CO and CH^(+), respectively, when the electron-rotation coupling is neglected.It is concluded that conventional treatment of the photoexcitation, neglecting the electron-rotation coupling,can be safely and efficiently employed to study dynamics at the x-ray transitions by means of electron emission spectroscopy, yet the approximation breaks down for nonlinear processes as stimulated emission, especially for systems with light atoms.
文摘The results of the development of the new fast-speed method of classification images using a structural approach are presented.The method is based on the system of hierarchical features,based on the bitwise data distribution for the set of descriptors of image description.The article also proposes the use of the spatial data processing apparatus,which simplifies and accelerates the classification process.Experiments have shown that the time of calculation of the relevance for two descriptions according to their distributions is about 1000 times less than for the traditional voting procedure,for which the sets of descriptors are compared.The introduction of the system of hierarchical features allows to further reduce the calculation time by 2–3 times while ensuring high efficiency of classification.The noise immunity of the method to additive noise has been experimentally studied.According to the results of the research,the marginal degree of the hierarchy of features for reliable classification with the standard deviation of noise less than 30 is the 8-bit distribution.Computing costs increase proportionally with decreasing bit distribution.The method can be used for application tasks where object identification time is critical.
文摘Ophthalmologists rely on a device known as the Goldmann applanation tonometer to make intraocular pressure (IOP) measurements. It measures the force required to press a flat disc against the cornea to produce a flattened circular region of known area. The IOP is deduced from this force using the Imbert-Fick principle. However, there is scant analytical justification for this analysis. We present a mathematical model of tonometry to investigate the relationship between the pressure derived by tonometry and the IOP. An elementary equilibrium analysis suggests that there is no physical basis for traditional tonometric analysis. Tonometry is modelled using a hollow spherical shell of solid material enclosing an elastic liquid core, with the shell in tension and the core under pressure. The shell is pressed against a rigid flat plane. The solution is found using finite element analysis. The shell material is anisotropic. Values for its elastic constants are obtained from literature except where data are unavailable, when reasonable limits are explored. The results show that the force measured by the Goldmann tonometer depends on the elastic constant values. The relationship between the IOP and the tonometer readings is complex, showing potentially high levels of inaccuracy that depend on IOP.