Numerical approximation of mathematical model for absorption of subcutaneously injected insulin
Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wach, P. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1995 |
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| Schlagwörter: |
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| Anmerkung: |
© IFMBE 1995 |
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| Übergeordnetes Werk: |
Enthalten in: Medical & biological engineering & computing - Kluwer Academic Publishers, 1977, 33(1995), 1 vom: Jan., Seite 18-23 |
|---|---|
| Übergeordnetes Werk: |
volume:33 ; year:1995 ; number:1 ; month:01 ; pages:18-23 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02522939 |
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| Katalog-ID: |
OLC2038669864 |
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| 245 | 1 | 0 | |a Numerical approximation of mathematical model for absorption of subcutaneously injected insulin |
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| 520 | |a Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. | ||
| 650 | 4 | |a Analytical solution | |
| 650 | 4 | |a Diffusion | |
| 650 | 4 | |a Insulin absorption | |
| 650 | 4 | |a Mathematical model | |
| 650 | 4 | |a Parameter estimation | |
| 700 | 1 | |a Trajanoski, Z. |4 aut | |
| 700 | 1 | |a Kotanko, P. |4 aut | |
| 700 | 1 | |a Skrabal, F. |4 aut | |
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10.1007/BF02522939 doi (DE-627)OLC2038669864 (DE-He213)BF02522939-p DE-627 ger DE-627 rakwb eng 610 660 570 VZ 12 ssgn Wach, P. verfasserin aut Numerical approximation of mathematical model for absorption of subcutaneously injected insulin 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © IFMBE 1995 Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. Analytical solution Diffusion Insulin absorption Mathematical model Parameter estimation Trajanoski, Z. aut Kotanko, P. aut Skrabal, F. aut Enthalten in Medical & biological engineering & computing Kluwer Academic Publishers, 1977 33(1995), 1 vom: Jan., Seite 18-23 (DE-627)129858552 (DE-600)282327-5 (DE-576)015165507 0140-0118 nnns volume:33 year:1995 number:1 month:01 pages:18-23 https://doi.org/10.1007/BF02522939 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_31 GBV_ILN_32 GBV_ILN_34 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4219 GBV_ILN_4306 GBV_ILN_4317 AR 33 1995 1 01 18-23 |
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10.1007/BF02522939 doi (DE-627)OLC2038669864 (DE-He213)BF02522939-p DE-627 ger DE-627 rakwb eng 610 660 570 VZ 12 ssgn Wach, P. verfasserin aut Numerical approximation of mathematical model for absorption of subcutaneously injected insulin 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © IFMBE 1995 Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. Analytical solution Diffusion Insulin absorption Mathematical model Parameter estimation Trajanoski, Z. aut Kotanko, P. aut Skrabal, F. aut Enthalten in Medical & biological engineering & computing Kluwer Academic Publishers, 1977 33(1995), 1 vom: Jan., Seite 18-23 (DE-627)129858552 (DE-600)282327-5 (DE-576)015165507 0140-0118 nnns volume:33 year:1995 number:1 month:01 pages:18-23 https://doi.org/10.1007/BF02522939 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_31 GBV_ILN_32 GBV_ILN_34 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4219 GBV_ILN_4306 GBV_ILN_4317 AR 33 1995 1 01 18-23 |
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10.1007/BF02522939 doi (DE-627)OLC2038669864 (DE-He213)BF02522939-p DE-627 ger DE-627 rakwb eng 610 660 570 VZ 12 ssgn Wach, P. verfasserin aut Numerical approximation of mathematical model for absorption of subcutaneously injected insulin 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © IFMBE 1995 Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. Analytical solution Diffusion Insulin absorption Mathematical model Parameter estimation Trajanoski, Z. aut Kotanko, P. aut Skrabal, F. aut Enthalten in Medical & biological engineering & computing Kluwer Academic Publishers, 1977 33(1995), 1 vom: Jan., Seite 18-23 (DE-627)129858552 (DE-600)282327-5 (DE-576)015165507 0140-0118 nnns volume:33 year:1995 number:1 month:01 pages:18-23 https://doi.org/10.1007/BF02522939 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_31 GBV_ILN_32 GBV_ILN_34 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4219 GBV_ILN_4306 GBV_ILN_4317 AR 33 1995 1 01 18-23 |
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10.1007/BF02522939 doi (DE-627)OLC2038669864 (DE-He213)BF02522939-p DE-627 ger DE-627 rakwb eng 610 660 570 VZ 12 ssgn Wach, P. verfasserin aut Numerical approximation of mathematical model for absorption of subcutaneously injected insulin 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © IFMBE 1995 Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. Analytical solution Diffusion Insulin absorption Mathematical model Parameter estimation Trajanoski, Z. aut Kotanko, P. aut Skrabal, F. aut Enthalten in Medical & biological engineering & computing Kluwer Academic Publishers, 1977 33(1995), 1 vom: Jan., Seite 18-23 (DE-627)129858552 (DE-600)282327-5 (DE-576)015165507 0140-0118 nnns volume:33 year:1995 number:1 month:01 pages:18-23 https://doi.org/10.1007/BF02522939 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_31 GBV_ILN_32 GBV_ILN_34 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4219 GBV_ILN_4306 GBV_ILN_4317 AR 33 1995 1 01 18-23 |
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10.1007/BF02522939 doi (DE-627)OLC2038669864 (DE-He213)BF02522939-p DE-627 ger DE-627 rakwb eng 610 660 570 VZ 12 ssgn Wach, P. verfasserin aut Numerical approximation of mathematical model for absorption of subcutaneously injected insulin 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © IFMBE 1995 Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. Analytical solution Diffusion Insulin absorption Mathematical model Parameter estimation Trajanoski, Z. aut Kotanko, P. aut Skrabal, F. aut Enthalten in Medical & biological engineering & computing Kluwer Academic Publishers, 1977 33(1995), 1 vom: Jan., Seite 18-23 (DE-627)129858552 (DE-600)282327-5 (DE-576)015165507 0140-0118 nnns volume:33 year:1995 number:1 month:01 pages:18-23 https://doi.org/10.1007/BF02522939 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_31 GBV_ILN_32 GBV_ILN_34 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4219 GBV_ILN_4306 GBV_ILN_4317 AR 33 1995 1 01 18-23 |
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Numerical approximation of mathematical model for absorption of subcutaneously injected insulin |
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Numerical approximation of mathematical model for absorption of subcutaneously injected insulin |
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Wach, P. |
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Medical & biological engineering & computing |
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1995 |
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Wach, P. Trajanoski, Z. Kotanko, P. Skrabal, F. |
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Wach, P. |
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10.1007/BF02522939 |
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610 660 570 |
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numerical approximation of mathematical model for absorption of subcutaneously injected insulin |
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Numerical approximation of mathematical model for absorption of subcutaneously injected insulin |
| abstract |
Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. © IFMBE 1995 |
| abstractGer |
Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. © IFMBE 1995 |
| abstract_unstemmed |
Abstract A pharmacokinetic model is modified to enable quantitation of subcutaneous insulin absorption following insulin injections of soluble insulin and monomeric insulin analogues. The model for soluble insulin includes diffusion, equilibration between hexameric and dimeric insulin and absorption of dimeric insulin molecules. Numerical approximation is carried out by modelling the whole system as a capacitor-resistor network with lumped elements and discrete sources and sinks. By means of the analytical solution for monomeric-insulin absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The modified model for soluble insulin demonstrates dose- and concentration-dependent insulin absorption within the range of therapeutic concentrations and volumes. Additionally, parameters are estimated from published glucose-clamp data. The results of the data fitting indicate that the model presented is adequate for pharmacological studies. The model is suitable for individual parameter estimation from the time course of plasma insulin or from the disappearance curves of radiolabelled injected insulin. © IFMBE 1995 |
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Numerical approximation of mathematical model for absorption of subcutaneously injected insulin |
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