Abstract
Mathematical models of red cell metabolism have been developed within the framework of the Michaelis-Menten formalism, and the most comprehensive of these is currently being implemented as a computer simulation tool. A straightforward transformation to the synergistic-system representation within a very general theory of biochemical systems (called Biochemical Systems Theory or BST). Preliminary analysis aimed at characterizing the consistency, robustness, log gains, and accuracy of this model of the human red-blood cell is presented. The results show that the current model of the red cell exhibits a self-consistent and stable steady state. However, the model is not very robust; the high parameter sensitivities associated with the synthesis of NADP and glutathione suggest that this portion of the model is ill-conditioned. Signals propagated from independent to dependent variables are attenuated in some cases and amplified in others. These influences exhibit large values, both negative as well as positive. The accuracy with which the theory predicts responses to a 10%-variation of the independent variables is within 0.5% on the average.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the Annual Conference on Engineering in Medicine and Biology |
| Place of Publication | Piscataway, NJ, United States |
| Publisher | Publ by IEEE |
| Pages | 1543-1544 |
| Number of pages | 2 |
| Volume | 13 |
| Edition | pt 4 |
| ISBN (Print) | 0780302168 |
| State | Published - 1991 |
| Externally published | Yes |
| Event | Proceedings of the 13th Annual International Conference of the IEEE Engineering in Medicine and Biology Society - Orlando, FL, USA Duration: Oct 31 1991 → Nov 3 1991 |
Other
| Other | Proceedings of the 13th Annual International Conference of the IEEE Engineering in Medicine and Biology Society |
|---|---|
| City | Orlando, FL, USA |
| Period | 10/31/91 → 11/3/91 |
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ASJC Scopus subject areas
- Bioengineering
Cite this
Biochemical systems theory applied to the human red-blood cell. / Ni, Ta Chen; Savageau, Michael A.
Proceedings of the Annual Conference on Engineering in Medicine and Biology. Vol. 13 pt 4. ed. Piscataway, NJ, United States : Publ by IEEE, 1991. p. 1543-1544.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Biochemical systems theory applied to the human red-blood cell
AU - Ni, Ta Chen
AU - Savageau, Michael A.
PY - 1991
Y1 - 1991
N2 - Mathematical models of red cell metabolism have been developed within the framework of the Michaelis-Menten formalism, and the most comprehensive of these is currently being implemented as a computer simulation tool. A straightforward transformation to the synergistic-system representation within a very general theory of biochemical systems (called Biochemical Systems Theory or BST). Preliminary analysis aimed at characterizing the consistency, robustness, log gains, and accuracy of this model of the human red-blood cell is presented. The results show that the current model of the red cell exhibits a self-consistent and stable steady state. However, the model is not very robust; the high parameter sensitivities associated with the synthesis of NADP and glutathione suggest that this portion of the model is ill-conditioned. Signals propagated from independent to dependent variables are attenuated in some cases and amplified in others. These influences exhibit large values, both negative as well as positive. The accuracy with which the theory predicts responses to a 10%-variation of the independent variables is within 0.5% on the average.
AB - Mathematical models of red cell metabolism have been developed within the framework of the Michaelis-Menten formalism, and the most comprehensive of these is currently being implemented as a computer simulation tool. A straightforward transformation to the synergistic-system representation within a very general theory of biochemical systems (called Biochemical Systems Theory or BST). Preliminary analysis aimed at characterizing the consistency, robustness, log gains, and accuracy of this model of the human red-blood cell is presented. The results show that the current model of the red cell exhibits a self-consistent and stable steady state. However, the model is not very robust; the high parameter sensitivities associated with the synthesis of NADP and glutathione suggest that this portion of the model is ill-conditioned. Signals propagated from independent to dependent variables are attenuated in some cases and amplified in others. These influences exhibit large values, both negative as well as positive. The accuracy with which the theory predicts responses to a 10%-variation of the independent variables is within 0.5% on the average.
UR - http://www.scopus.com/inward/record.url?scp=0026284606&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026284606&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0026284606
SN - 0780302168
VL - 13
SP - 1543
EP - 1544
BT - Proceedings of the Annual Conference on Engineering in Medicine and Biology
PB - Publ by IEEE
CY - Piscataway, NJ, United States
ER -