Update: Here's what I came up with

I'm doing a ton of refactoring.  Some of these are directly from a port that I was doing at blinding speed trying to reach a very short deadline (Even though I'm refactoring these now, you should have SEEN what I had to start with :) ).  I'm now able to go back and refactor to make everything better.  I'll post what I come up with in later posts.

Refactor the code below:

bool failedMin = (testReadingValue < studyVisitProfileMinValue);
bool failedMax = (testReadingValue > studyVisitProfileMaxValue);

if(failedMin) 
{                
    this.ErrorCount++;

    switch(limitType)
    {
        case LimitType.Systolic:
            processResultDetail.FailedMinSystolic = true;
            this.FailedSystolicLimit = true;
            break;
        case LimitType.Diastolic:
            processResultDetail.FailedMinDiastolic = true;
            this.FailedDiastolicLimit = true;
            break;
        case LimitType.HeartRate:
            processResultDetail.FailedMinHR = true;
            this.FailedHeartRateLimit = true;
            break;
        case LimitType.MeanArterialPressure:
            processResultDetail.FailedMinMAP = true;
            this.FailedMapLimit = true;
            break;
    }
}

if(failedMax)
{
    this.ErrorCount++;

    switch (limitType)
    {
        case LimitType.Systolic:
            processResultDetail.FailedMaxSystolic = true;
            this.FailedSystolicLimit = true;
            break;
        case LimitType.Diastolic:
            processResultDetail.FailedMaxDiastolic = true;
            this.FailedDiastolicLimit = true;
            break;
        case LimitType.HeartRate:
            processResultDetail.FailedMaxHR = true;
            this.FailedHeartRateLimit = true;
            break;
        case LimitType.MeanArterialPressure:
            processResultDetail.FailedMaxMAP = true;
            this.FailedMapLimit = true;
            break;
    }
}