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Half-Life & Accumulation Basics

How compound activity declines over time and why repeated intervals create buildup

5 min

Half-life describes how quickly a compound's activity declines after an entry. It is the core variable behind every accumulation estimate. Understanding it helps you interpret what the accumulation calculator is showing — and why the same entry amount can produce very different buildup patterns depending on the compound.

What Half-Life Means

Half-life is the time it takes for an estimated 50% of a compound's activity to decline. After one half-life, roughly half remains active. After two half-lives, about a quarter remains. This decline continues with each passing half-life until activity becomes negligible.

Activity decline over half-life intervals

Starting activity: 100 units

After 1 half-life: ~50 units remaining

After 2 half-lives: ~25 units remaining

After 3 half-lives: ~12.5 units remaining

After 4 half-lives: ~6 units remaining

After 5 half-lives: ~3 units remaining

Shorter vs. Longer Half-Lives

A compound with a short half-life declines quickly. Less activity carries into the next interval, which means less overlap and a lower steady-state level. A compound with a long half-life declines slowly. More activity carries over, creating more overlap and higher accumulation over time.

This is why two compounds at the same entry amount can produce completely different accumulation curves — half-life drives the difference.

How Repeated Intervals Create Buildup

When a new entry is introduced before the prior one has fully declined, the remaining activity stacks with the incoming amount. Over several intervals, this carryover compounds — levels climb higher until the amount declining per interval equals the amount being added. That balance point is steady state.

Buildup over repeated intervals (simplified)

Interval 1: 100 units introduced → 100 active at peak

Interval 2: 50 carry over + 100 new → 150 active at peak

Interval 3: 75 carry over + 100 new → 175 active at peak

Interval 6+: carryover stabilizes → steady state reached

Built-In Estimated Half-Life Values

The accumulation calculator includes built-in estimated half-life values for common research compounds. When you select a compound, the half-life field auto-fills with a research-based estimate — no manual lookup needed.

These estimates are designed to give you a practical, accurate starting point for modeling. They reflect typical activity patterns and are regularly maintained to stay current.

Custom Override

If you want to model a specific half-life value — or work with a compound not included in the built-in library — you can manually enter a custom value. The custom entry replaces the auto-filled estimate for that calculation.

Custom overrides are useful for comparative modeling, exploring how different half-life assumptions affect accumulation curves, or working with newer compounds not yet in the library.

Why the Output Is an Estimate

Half-life values — whether built-in or custom — are averages derived from research data. Actual activity in any individual system is affected by factors the calculator cannot model. All accumulation outputs should be read as informed estimates, not precise measurements.

Quick Reference

Half-life = time for ~50% of activity to decline

Shorter half-life = faster decline, less carryover, lower accumulation

Longer half-life = slower decline, more carryover, higher accumulation

Steady state = when carryover per interval equals amount introduced

Built-in estimates auto-fill — custom override available for any compound

Common Mistakes

Assuming all compounds accumulate the same way

Half-life drives accumulation behavior. Two compounds at the same entry amount will accumulate very differently if their half-lives differ.

Overriding the built-in estimate with a rough guess

Built-in values are research-based and accurate for most modeling purposes. Only override if you have a specific value to test. An inaccurate custom entry distorts the entire output.

Expecting steady state after just a few intervals

Steady state typically takes multiple half-life cycles to approach. Review the full accumulation curve in the output rather than looking only at early intervals.

This guide is for research-use calculator education only. It does not provide medical advice, treatment recommendations, or personalized dosing instructions.

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