Collaborative Health Adherence Optimization in Sociotechnical Systems
Prescriptions consist of requirements and restriction.
A Requirement is associate to a single action (that is uniquely identified), has a start time (which is an absolute point in time), a duration in terms of a quantity of time Frames (e.g., 10 weeks). Time Frames can be decomposed into sub-ordinate points that are Frames themselves by specifying a set of ordinal values in attribute select or by specifying a particular inacrement. If an ordinal value is specified, it must be interpreted in the context of the enclosed time Frame. For example, an ordinal value of 1 for a Frame of unit Day in a Frame of unit week must be interpreted as the first day of the week (Monday). If an increment "i" is specified for a Frame, it selects every ith sub-unit in the enclosing Frame.
A Frame must be further decomposed in a more granular Frame or it must specify a quantified Administration of the required action (with a miniumum and maximum quantity).
Example: require A1 for 10 weeks every 2nd day administer 1-2 . Here the action is A1 that is administered between 1 and 2 times, the toplevel Frame is weeks, the duration is 10, the selected sub-ordinate Frames are every 2nd day (it has an increment value of 2).
A Frame can can further be decomposed by a Frame. For example: require A2 for 10 weeks every day every morning administer 2-3 and every evening administer 0-1. Here the Frame (unit of day) selected from the top-level Frame (unit of week) have been further decomposed in a sub-ordinate Frame of unit day (with two Frames of unit morning and afternoon, respectively).
Note, the above example could be rewritten as require A3 for 10 weeks every morning administer 2-3 and every evening administer 0-1.
Requirements may also be temporally sequenced such that one prescribed requirement must follow the administration of another one (see then relationship). Example require A1 for 10 weeks every day administer 2 and then require A2 for 2 weeks every 2nd day administer 1
Restrictions specify situations to avoid. They refer to a unit time (e.g;, 3 hours).
- Min and Max restrictions restrict the maximum or minumum actions that should be taken during any specified time.
- Together restrictions require that two actions must be administered together (in the same unit time).
- Apart restrictions require that two actions must be administered apart (in the same unit time).
Examples:
restrict A3 to a minimum of 10 per day
restrict A3 to a maximum of 10 per day
restrict taking A3 and A4 apart by at least 4 hours
restrict taking A3 and A4 together within at most 2 hours
A working prototype Gorilla Worksheet is under [http://viewer.gorilla-repl.org/view.html?source=gist&id=e53a0a3114fb3ebfbc1fc46089c9f818] and archived here [https://github.com/simbioses/chaos/blob/master/prototype.pdf]
- Planken's PhD thesis: Algorithms for Simple Temporal Reasoning http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.978.8678&rep=rep1&type=pdf
- Siemon's thesis: https://dspace.library.uvic.ca/handle/1828/8458