Dynamical Systems Models for Plasma Dilution

Recent experiments provide evidence that diluting the blood plasma restores the plasma environment to a more youthful level at least partially restoring the health of organs and tissues throughout the body. We propose that a dynamical-systems model representing the plasma constituents could support the optimization process and help determine the appropriate dilution level, frequency and any simultaneous plasma infusions to achieve the most favorable outcome. We use a combination of a gradient descent, a simulated annealing and a genetic algorithm to find a population of models that fit illustrative data. We analyze this population and present distributions of the model parameters and include a collection of plots of the dilution process for illustrative models. We then consider modifications of the dilution in order to illustrate what predictions might be possible had we more data to disambiguate the model.