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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Igor Chudinovich Christian Constanda

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Analysis; Integral Equations; Functional Analysis; Continuum Mechanics and Mechanics of Materials

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2005 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-1-85233-888-6

ISBN electrónico

978-1-84628-120-4

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer-Verlag London Limited 2005

Cobertura temática

Tabla de contenidos

Formulation of the Problems and Their Nonstationary Boundary Integral Equations

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 1-17

Problems with Dirichlet Boundary Conditions

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 19-36

Problems with Neumann Boundary Conditions

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 37-42

Boundary Integral Equations for Problems with Dirichlet and Neumann Boundary Conditions

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 43-55

Transmission Problems and Multiply Connected Plates

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 57-79

Plate Weakened by a Crack

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 81-98

Initial-Boundary Value Problems with Other Types of Boundary Conditions

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 99-118

Boundary Integral Equations for Plates on a Generalized Elastic Foundation

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 119-128

Problems with Nonhomogeneous Equations and Nonhomogeneous Initial Conditions

Igor Chudinovich; Christian Constanda

Incretin based therapies for type 2 diabetes mellitus are quite promising. Presently, basic research places both GIP and GLP-1 based approaches on an equal standing. Recently, there has been renewed interest into the physiology of GIP in humans, and thus it is possible that DP IV resistant GIP analogues will be administered to human diabetics, perhaps reconciling differences between clinical and pre-clinical studies. Development of injection-delivered GLP-1 derivatives continues to meet expectations as a therapeutic option for the future. Particular attention to severity of diabetes and age must be considered when examining the effectiveness of either GIP or GLP-1 based analogues in human patients. Despite some uncertainties as to the precise mediators of DP IV inhibitors, data from mouse models indicate that the beneficial effects are conveyed by the known incretin hormones. Predictions of the relative contributions of GIP and GLP-1 to the glucose lowering activity of DP IV inhibition have been made, however, experimental data is required for conclusive resolution of this point. Only specifically designed studies can answer this question using selective antagonists of either the GIP or GLP-1 receptor, alone or in combination, in conjunction with DP IV inhibitors in healthy and diabetic humans.

Pp. 129-137