Unit conversion from disease case to physician consultation
Posted: Wed Jan 11, 2012 10:09 am
Hi everyone,
I have a problem with units in my simulation model. Basically the idea is that disease cases of patients who consult one doctor are of unit [case]. A case can need one ore more consultations. For every consultation there should be a probability that it is the last consultation, or that a further consultation at the same doctor is required, or that a referral to another physician is made. I have two stocks for cases: In the first level cases are until the patient has his first consultation (because the time would be the normal waiting time at the physician), in the second the patient is until his case ends or he gets a referral (here there could be different times between follow-up visits than the normal waiting time for the first visit).
First I worked with waiting times and had choosen the unit [month]. In the equations for the rates of cases (unit [case/month]) I used something like:
ProbablilityOfReferral/waitingTime*Cases of units [dmnl/month*case]
That worked, but when I wanted to calculate how many consultations a doctor had, from cases and the waiting time between cases, I had of course no unit with [consultation]!
I can solve that when I use consultationsPerMonthAndCase (unit [consultation/(month*case)]) instead of waitingTime. But the inverse (to use it in the equation above instead of waitingTime) would have units [case*month/consultation] which don't make sense for me. However, by multiplying instead of dividing in the equation it works for the follow-up cases. Still it is a bit strange for me, as waitingTime between consultations is an obvious variable, but I cannot use it anymore (not unless I would use another variable with value 1 and unit [case/consultation] but this seems very artificial). Furthermore, I do not know if consultationsPerMonthAndCase is a good variable for cases until there first consultation (clearly, they should lead to only one consultation as long as they are in the first level).
All in all I'm a bit confused about these unit issues and wondering if you would come up with better solutions or if I'm on the wrong track.
Thank you and kind regards
Patrick
I have a problem with units in my simulation model. Basically the idea is that disease cases of patients who consult one doctor are of unit [case]. A case can need one ore more consultations. For every consultation there should be a probability that it is the last consultation, or that a further consultation at the same doctor is required, or that a referral to another physician is made. I have two stocks for cases: In the first level cases are until the patient has his first consultation (because the time would be the normal waiting time at the physician), in the second the patient is until his case ends or he gets a referral (here there could be different times between follow-up visits than the normal waiting time for the first visit).
First I worked with waiting times and had choosen the unit [month]. In the equations for the rates of cases (unit [case/month]) I used something like:
ProbablilityOfReferral/waitingTime*Cases of units [dmnl/month*case]
That worked, but when I wanted to calculate how many consultations a doctor had, from cases and the waiting time between cases, I had of course no unit with [consultation]!
I can solve that when I use consultationsPerMonthAndCase (unit [consultation/(month*case)]) instead of waitingTime. But the inverse (to use it in the equation above instead of waitingTime) would have units [case*month/consultation] which don't make sense for me. However, by multiplying instead of dividing in the equation it works for the follow-up cases. Still it is a bit strange for me, as waitingTime between consultations is an obvious variable, but I cannot use it anymore (not unless I would use another variable with value 1 and unit [case/consultation] but this seems very artificial). Furthermore, I do not know if consultationsPerMonthAndCase is a good variable for cases until there first consultation (clearly, they should lead to only one consultation as long as they are in the first level).
All in all I'm a bit confused about these unit issues and wondering if you would come up with better solutions or if I'm on the wrong track.
Thank you and kind regards
Patrick