Feed-forward activation in a theoretical first-order biochemical pathway which contains an anticipatory model |
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| Authors: | Jeff Prideaux |
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| Institution: | (1) Virginia Commonwealth University, Physiology, P.O. Box 980551, 23298-0551 Richmond, VA, USA |
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| Abstract: | This paper explores the consequences of the theoretical forward activation enzymatic pathway A
0  A
1 A
2 A
3 where E
1 convents A
0 to A
1, E
2 converts A
1 to A
2 and E
3 converts A
2 to A
3. A
0, which is environmentally determined, also serves to activate (or modulate) the activity of E
3 in such a way as to keep the concentration of A
2 (A
2]) constant at a particular set-point value. For mathematical simplicity, first order rate kinetics are used where k
1, k
2 and k
3 are the rate constants for E
1, E
2, and E
3 respectively. It is shown that if k
3 is modulated appropriately so as keep A
2] at the setpoint value with a changing upstream A
0], then the modulation of k
3 must be anticipatory of the dynamics of the biochemical pathway. In other words, the rate of change of k
3, will be a function of A
0], k
1, k
2, k
3, and the set-point value of A
2]. If the modulation of k
3 does not perfectly model (anticipate) the reaction pathway of which it is a part, then the actual A
2] will deviate from the set-point value. This type of anticipatory feed-forward activation may represent an important aspect of biological organization. |
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| Keywords: | |
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