An optimization formulation for characterization of pulsatile cortisol secretion

Frontiers in Neuroscience
Rose T FaghihEmery N Brown

Abstract

Cortisol is released to relay information to cells to regulate metabolism and reaction to stress and inflammation. In particular, cortisol is released in the form of pulsatile signals. This low-energy method of signaling seems to be more efficient than continuous signaling. We hypothesize that there is a controller in the anterior pituitary that leads to pulsatile release of cortisol, and propose a mathematical formulation for such controller, which leads to impulse control as opposed to continuous control. We postulate that this controller is minimizing the number of secretory events that result in cortisol secretion, which is a way of minimizing the energy required for cortisol secretion; this controller maintains the blood cortisol levels within a specific circadian range while complying with the first order dynamics underlying cortisol secretion. We use an ℓ0-norm cost function for this controller, and solve a reweighed ℓ1-norm minimization algorithm for obtaining the solution to this optimization problem. We use four examples to illustrate the performance of this approach: (i) a toy problem that achieves impulse control, (ii) two examples that achieve physiologically plausible pulsatile cortisol release, (iii) an example w...Continue Reading

References

Jul 1, 1989·The American Journal of Physiology·J D VeldhuisM L Johnson
Feb 15, 2001·American Journal of Physiology. Endocrinology and Metabolism·E N BrownA P Dempster
Feb 5, 2010·Proceedings. Biological Sciences·Jamie J WalkerStafford L Lightman
Sep 16, 2010·Nature Reviews. Neuroscience·Stafford L Lightman, Becky L Conway-Campbell
Nov 9, 2010·Journal of Neuroendocrinology·J J WalkerS L Lightman
Feb 10, 2011·Endocrinology·Francesca SpigaStafford L Lightman
Jan 19, 2012·Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society·Rose T FaghihEmery N Brown
Jun 9, 2012·PLoS Biology·Jamie J WalkerStafford L Lightman
Feb 4, 2014·PloS One·Rose T FaghihEmery N Brown

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Citations

Sep 13, 2019·PLoS Computational Biology·Bruno BurlandoGiulia Giordano
Sep 3, 2020·Chaos·Alexander N ChurilovElvira R Salakhova

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Software Mentioned

MATLAB

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