Conventional framing
Homeorhesis is historically associated with the regulation and robustness of developmental trajectories rather than the maintenance of a fixed state. Later biological uses have extended the concept to other temporally organised processes in which an unfolding course is maintained or coordinated through change.
Homeorhesis is often discussed alongside homeostasis and, in more recent regulatory contexts, allostasis. These concepts have different but overlapping explanatory emphases. Homeostasis principally concerns the maintenance of biologically relevant conditions within viable ranges, allostasis concerns adjustment of regulation as demands change, and homeorhesis concerns regulation of an unfolding biological course. They should not be treated as mutually exclusive mechanisms, successive stages, or an exhaustive taxonomy of biological regulation.
APS reframing
APS treats homeorhesis as a specific form of trajectory regulation within viability-oriented, constraint-closed organisation.
Some biological processes are temporally extended in ways that make their unfolding course explanatorily important. Where that course is maintained, coordinated, or recovered through regulation, homeorhetic description may be warranted. Temporal change or continuation alone is insufficient: the relevant trajectory must itself exhibit evidence of regulation, robustness, coordination, or recovery.
Homeorhesis can therefore contribute to organised persistence where persistence depends upon regulation of an unfolding biological trajectory. It is not identical with organised persistence, and organised persistence does not universally require homeorhesis.
Homeorhetic regulation can also constitute a temporal pattern of biological agency where viability-oriented activity maintains, coordinates, or recovers an unfolding course. This does not make homeorhesis a necessary condition of agency. Nor is homeorhesis a necessary condition of development, adaptation, or evolutionary change.
Key Point
Homeorhesis is a specific form of trajectory regulation contributing to some organised persistence; it is not the universal temporal mode of biological persistence.