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1 Department of Internal Medicine, Mayo Clinic, Rochester, MN, USA
2 Chaotic Dynamical Systems, Guilford, CT, USA
3 Department of Statistics, Univeristy of Virginia, Charlottesville, VA, USA
4 Department of Endocrinology, Leiden University Medical Center, Leiden, The Netherlands
* To whom correspondence should be addressed. E-mail: veldhuis.johannes{at}mayo.edu.
The hypothalamo-pituitary-adrenal axis is a stress-adaptive neuroendocrine ensemble, in which adrenocorticotropin (ACTH) drives cortisol secretion (feedforward), and cortisol restrains
ACTH outflow (feedback). Quantifying direction- and pathway-specific adjustments within this
and other interlinked systems by noninvasive means remains difficult. The present study tests the hypothesis that forward and reverse cross-approximate entropy (X-ApEn), a lag-, scaleand model-independent measure of two-signal synchrony, would allow quantifiable discrimination of feedforward (ACTH
cortisol) and feedback (cortisol
ACTH) control. To this end, forward X-ApEn was defined by employing serial ACTH concentrations as a template to appraise pairwise synchrony with cortisol secretion rates, and vice versa for reverse X-ApEn.
Coupled hormone profiles comprised normal ACTH/normal cortisol, high ACTH/high cortisol, and high ACTH/low cortisol concentrations in 35 healthy subjects, 21 patients with tumoral ACTH secretion, and 9 volunteers given placebo and a steroidogenic inhibitor, respectively.
Forward and reverse X-ApEn analyses identified marked and equivalent loss of feedforward and feedback linkages (both P < 0.001) in patients with tumoral ACTH secretion. An identical analytical strategy revealed that ACTH
cortisol feedforward synchrony decreases (P <0.001), whereas cortisol
ACTH feedback synchrony increases (P < 0.001), in response to hypocortisolemia. The collective outcomes establish precedence for pathway-specific
adaptations in a major neurohormonal system. Thus, quantification of directionally defined joint
synchrony of biologically coupled signals offers a noninvasive strategy to dissect feedforward
and feedback-selective adaptations in an interactive axis.
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