This paper is concerned with an investigation of a flow-absorption system, which is one of the most fundamental physiological systems. A mathematical model is developed to solve the concentration profile of absorbed solvents in a tubule. The profile depends upon the values of reaction velocity parameters, i. e.,
Jmax and
Kt. For the five different absorbed solutes, of which reaction velocity parameters are observed in a proximal tubule of a triturus kidney, digital simulation has been executed to investigate the control mechanism.
The following have been clarified :
(1) Concentration is reduced to zero at about half the length of the tubule, making the last half redundant in a steady state condition.
(2) Reaction velocity parameters have mutual compensation effect with regard to the concentration profile formulation. In other words, so long as
Jmax and
Kt change in values in accordance with a certain linear relationship, almost equal concentration profiles can be obtained. Thus, even though the value
Jmax, (
Kt), may be subjected to some perturbation, the concentration profile can be maintained unchanged by adjusting the
Kt value, (
Jmax).
(3) Among
Jmax and
Kt values of the five different solutes, linear relationship exists, providing almost equal concentration profiles. This is a very simple control algorithm 'to preserve only the common profile for different solvents.
Characterized by these merits, the flow-absorption system can be identified as an excellent control system.
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