12 KiB
Guide 24: Trend Detection (Rate-of-Change Analysis)
What is Trend Detection?
Traditional threshold alerts fire when a vital sign crosses a fixed boundary — "heart rate above 130, alert." But what about a heart rate that's at 85, then 95, then 105, then 115 — all within 30 minutes? No single reading crosses the threshold, but the patient is clearly deteriorating rapidly.
Trend detection (also called rate-of-change analysis) watches the speed at which a vital sign is changing over time. It calculates the velocity — how many units per minute the value is rising or falling — and fires an alert when the velocity exceeds a threshold.
Think of it like a speedometer vs a position marker. A threshold alert says "you're past the speed limit." A trend alert says "you're accelerating dangerously fast and will hit the speed limit soon."
Heart Rate over 30 minutes:
130 ┤ ← Threshold (CRITICAL_HEART_RATE)
│ ╱
120 ┤ ╱╱
│ ╱╱
110 ┤ ╱╱
│ ╱╱
100 ┤ ╱╱
│╱╱
90 ┤ ← No individual reading crosses 130...
│ but the RATE (0.8 bpm/min) exceeds the trend threshold (0.5)
└──────────────────────────────────────
0 5 10 15 20 25 30 min
→ RAPID_DETERIORATION alert fires at ~20 minutes
How Trend Detection Works
The 5 Tracked Parameters
public static class TrendCalculator
{
public static readonly IReadOnlyList<string> TrendCodes = new[]
{
"HEART_RATE", "RESP_RATE", "SYSTOLIC_BP", "TEMP_C", "SPO2"
};
}
Each parameter has a configured velocity threshold (from appsettings.json):
{
"TrendDetection": {
"WindowMinutes": 30,
"MaxHistoryEntries": 10,
"HistoryTtlSeconds": 7200,
"RateThresholdsPerMinute": {
"HEART_RATE": 0.5,
"RESP_RATE": 0.3,
"SYSTOLIC_BP": 1.0,
"TEMP_C": 0.05,
"SPO2": 0.2
}
}
}
| Parameter | Threshold | Meaning |
|---|---|---|
| HEART_RATE | 0.5 /min/min | Heart rate rising by 0.5 bpm each minute (15 bpm over 30 min) |
| RESP_RATE | 0.3 /min/min | Respiratory rate rising by 0.3/min each minute |
| SYSTOLIC_BP | 1.0 mmHg/min | Blood pressure dropping by 1 mmHg each minute (30 mmHg in 30 min) |
| TEMP_C | 0.05 °C/min | Temperature rising by 0.05°C each minute (1.5°C in 30 min) |
| SPO2 | 0.2 %/min | Oxygen saturation dropping by 0.2% each minute |
Direction Matters
For HEART_RATE, RESP_RATE, and TEMP_C, rising values are concerning (tachycardia, tachypnea, fever). For SPO2 and SYSTOLIC_BP, falling values are concerning (desaturation, hypotension). The calculator handles this:
public static bool ExceedsThreshold(
string observationCode, decimal ratePerMinute, decimal thresholdPerMinute) =>
observationCode switch
{
"SPO2" or "SYSTOLIC_BP" => ratePerMinute <= -thresholdPerMinute,
_ => ratePerMinute >= thresholdPerMinute
};
For SPO2: a rate of -0.3 %/min (dropping) exceeds the threshold of 0.2 (because |-0.3| > 0.2). For HEART_RATE: a rate of +0.7 bpm/min (rising) exceeds the threshold of 0.5.
The Trend Detection Pipeline
Observation arrives (Kafka consumer: trend-analyzer)
│
▼
Is it a trend code? (HEART_RATE, RESP_RATE, etc.)
│ no → return NotTrendCode
│ yes
▼
Read history from Redis: trend:{encounterId}:{code}
│
▼
Append new entry, trim to window (30 min, max 10 entries)
│
▼
Write updated history back to Redis (2-hour TTL)
│
▼
Enough history? (need >= 2 data points)
│ no → return InsufficientHistory
│ yes
▼
Compute velocity: (newest value - oldest value) / time difference
│
▼
Exceeds threshold?
│ no → return Stable
│ yes
▼
Create RAPID_DETERIORATION alert (if not already open)
Redis History Storage
The trend detector stores a list of recent readings in a single Redis key as a JSON array:
var cache = _redis.GetDatabase();
var key = TrendCalculator.HistoryKey(encounterId, observationCode);
// Read existing history
var historyJson = await cache.StringGetAsync(key);
var history = historyJson.HasValue
? JsonSerializer.Deserialize<List<TrendHistoryEntry>>(historyJson!)
: new List<TrendHistoryEntry>();
// Append new entry
history.Add(new TrendHistoryEntry(value, recordedAt));
// Trim: remove entries outside window, keep max N entries
var cutoff = recordedAt.AddMinutes(-_options.WindowMinutes);
history = history
.Where(e => e.RecordedAt >= cutoff)
.TakeLast(_options.MaxHistoryEntries) // max 10
.ToList();
// Write back with TTL
await cache.StringSetAsync(
key, JsonSerializer.Serialize(history),
TimeSpan.FromSeconds(_options.HistoryTtlSeconds)); // 2 hours
Why a JSON list instead of a Redis list? Redis lists support push/pop operations, but trimming by time range (remove entries older than 30 minutes) requires scanning the entire list. Storing the entire history as a JSON string allows the application to deserialize, filter, and reserialize in one read-write cycle. At max 10 entries, the overhead is negligible.
Velocity Calculation
public static decimal? ComputeRatePerMinute(
IReadOnlyList<TrendHistoryEntry> entries, int windowMinutes)
{
if (entries.Count < 2) return null;
var newest = entries[^1]; // last entry
var oldest = entries[0]; // first entry
var deltaMinutes = (newest.RecordedAt - oldest.RecordedAt).TotalMinutes;
if (deltaMinutes <= 0 || deltaMinutes > windowMinutes) return null;
return (newest.Value - oldest.Value) / (decimal)deltaMinutes;
}
Simple linear velocity: The rate is (newest - oldest) / time elapsed. This is intentionally simple — no weighted averages, no curve fitting. For clinical safety, a simple slope between the oldest and newest readings in the window is sufficient and easy to reason about.
Why require deltaMinutes > 0? Two readings with identical timestamps would produce division by zero. Why check > windowMinutes? If the oldest and newest readings span more than the window (e.g., a stale entry wasn't properly trimmed), the rate would be artificially diluted.
Alert Creation
When the velocity exceeds the threshold, a RAPID_DETERIORATION alert is created:
var details = TrendCalculator.DescribeTrend(observationCode, rate.Value, value);
// "Rapid rise: HEART_RATE rising at 0.72/min (current 118)"
// "Rapid decline: SPO2 falling at 0.31/min (current 91)"
var affected = await db.Database.ExecuteSqlInterpolatedAsync($"""
INSERT INTO clinical_alerts
(id, encounter_id, patient_id, alert_type, severity, details,
observation_code, status, triggered_at)
SELECT {alertId}, {encounterId}, {patientId},
'RAPID_DETERIORATION', 'WARNING', {fullDetails},
{observationCode}, 'OPEN', {triggeredAt}
WHERE NOT EXISTS (
SELECT 1 FROM clinical_alerts
WHERE encounter_id = {encounterId}
AND alert_type = 'RAPID_DETERIORATION'
AND observation_code = {observationCode}
AND status IN ('OPEN', 'ESCALATED')
)
""", ct);
Key design decisions:
- Alert severity is WARNING, not CRITICAL — trend detection is predictive ("the patient may deteriorate"), not confirmatory ("the patient has a dangerous vital sign"). The actual threshold breach alert (CRITICAL_HEART_RATE, CRITICAL_SPO2) fires separately when the value crosses the absolute threshold.
observation_codein the WHERE clause — a patient can have simultaneous trend alerts for different parameters (rising heart rate AND falling SpO2), but only one per parameter.- Outbox event for downstream consumers — the alert appears on the dashboard, triggers Kafka consumers (ES indexer, notification publisher), and may eventually escalate through RabbitMQ if unacknowledged.
The Kafka Consumer: TrendAnalyzerService
public class TrendAnalyzerService : BackgroundService
{
protected override async Task ExecuteAsync(CancellationToken stoppingToken)
{
var config = new ConsumerConfig
{
BootstrapServers = _kafkaOptions.BootstrapServers,
GroupId = "trend-analyzer",
AutoOffsetReset = AutoOffsetReset.Earliest,
EnableAutoCommit = false
};
using var consumer = new ConsumerBuilder<string, string>(config).Build();
consumer.Subscribe(_kafkaOptions.Topics.ObservationRecorded);
var guard = new PoisonPillGuard("trend-analyzer",
_kafkaOptions.MaxPoisonRetries, _logger);
while (!stoppingToken.IsCancellationRequested)
{
var result = consumer.Consume(stoppingToken);
var evt = JsonSerializer.Deserialize<TrendObservationEvent>(result.Message.Value)!;
using var scope = _services.CreateScope();
var detector = scope.ServiceProvider.GetRequiredService<TrendDetector>();
var outcome = await detector.ProcessObservationAsync(
evt.EncounterId, evt.PatientId,
evt.ObservationCode, evt.Value, evt.RecordedAt, stoppingToken);
if (outcome.Outcome == TrendOutcome.RapidDeterioration)
_logger.LogWarning(
"RAPID_DETERIORATION for {Code} in encounter {EncounterId}",
evt.ObservationCode, evt.EncounterId);
consumer.Commit(result);
guard.OnSuccess();
}
}
}
This follows the standard Kafka consumer pattern from Guide 12: consume → process → commit → repeat.
Example Scenario
A patient in the ICU has these heart rate readings over 20 minutes:
| Time | Heart Rate | History Window | Velocity |
|---|---|---|---|
| 14:00 | 82 | [82] | — (need >= 2) |
| 14:05 | 88 | [82, 88] | +1.2/min (exceeds 0.5) |
| 14:10 | 95 | [82, 88, 95] | +1.3/min |
| 14:15 | 103 | [82, 88, 95, 103] | +1.4/min |
| 14:20 | 112 | [82, 88, 95, 103, 112] | +1.5/min |
At 14:05, the velocity (1.2/min) already exceeds the threshold (0.5/min). A RAPID_DETERIORATION alert fires. The alert details: "Rapid rise: HEART_RATE rising at 1.20/min (current 88) — velocity 1.20/min over 30min window."
The individual readings (82, 88, 95...) are all normal — none cross the critical threshold of 130. But the trend detector catches the rapid acceleration before any threshold is breached.
Key Takeaways
- Trend detection catches deterioration early — before absolute thresholds are breached, alerting clinicians to accelerating decline
- Velocity is simple and interpretable — (newest - oldest) / time. No complex statistics. Clinicians can understand "heart rate rising at 0.7 bpm/min."
- Direction-aware thresholds — rising heart rate is bad, but rising SpO2 is good. Falling SpO2 is bad, but falling heart rate may be fine. Each parameter knows which direction to watch.
- Redis history with JSON lists — lightweight storage for sliding-window data with automatic TTL expiry
- WARNING severity for predictive alerts — trend alerts warn about future risk; threshold alerts confirm current danger. Both are needed.
- One trend alert per parameter per encounter — deduplication prevents alert storms when a patient is continuously deteriorating