What question did this study set out to answer?

Develop a generalized theoretical model and graphical method to evaluate blood-to-brain transfer constants and assess unidirectional uptake from multiple-time tissue data.

March 1, 1983Journal of Cerebral Blood Flow & MetabolismOpen Access

Graphical Evaluation of Blood-to-Brain Transfer Constants from Multiple-Time Uptake Data

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Authors

CPClifford S. PatlakGoethe University Frankfurt RBRonald G. BlasbergMemorial Sloan Kettering Cancer Center JFJoseph D. FenstermacherHenry Ford Health System

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Implication

Mathematical modeling demonstrates a graphical method to quantify blood-to-brain solute influx, indicating that linear plotting reliably determines unidirectional transfer constants.

Key Points

Develop a generalized theoretical model and graphical method to evaluate blood-to-brain transfer constants and assess unidirectional uptake from multiple-time tissue data.
Formulated a general compartmental model assuming linear transfer kinetics, consisting of a blood-plasma compartment, an arbitrary number of reversible tissue spaces, and irreversible tissue regions.
Derived analytical equations to plot the tissue-to-plasma solute concentration ratio against the ratio of the arterial plasma concentration-time integral to current plasma concentration.
Showed that the graphical curve becomes linear over time whenever unidirectional influx dominates solute movement.
Demonstrated that the slope of the terminal linear line equals the influx constant (Ki), with an intercept equal to or less than the vascular plus steady-state reversible space.

Cite This Study

Patlak et al. (1983) studied this question.

synapsesocial.com/papers/69d7d8d711d83f35e5ae2ef1 https://doi.org/10.1038/jcbfm.1983.1

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Implication

Mathematical modeling demonstrates a graphical method to quantify blood-to-brain solute influx, indicating that linear plotting reliably determines unidirectional transfer constants.

Graphical Evaluation of Blood-to-Brain Transfer Constants from Multiple-Time Uptake Data

Discussion

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Implication

Key Points

Cite This Study

Graphical Evaluation of Blood-to-Brain Transfer Constants from Multiple-Time Uptake Data

Discussion

Member takes

Implication

Key Points

Cite This Study

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