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Formulation and lyophilisation

Lab Freeze-Drying: Tg', Collapse Temperature and the Cycle

How Tg' and the collapse temperature are measured, how they set the product-temperature target, and how shelf temperature and chamber pressure follow from it. A cycle-design procedure for a laboratory freeze-dryer with a parameter table and a run record.

Tg′ and the collapse temperature are measured on the frozen formulation, by differential scanning calorimetry and by freeze-drying microscopy respectively, and the product temperature during primary drying is held a few kelvin below the lower of the two. Shelf temperature and chamber pressure are then chosen so that the product sits at that target: the pressure sets the sublimation rate, the shelf supplies the heat, and the product temperature is the result of the balance between them 12.

This page is the cycle-design arithmetic for research-material formulations dried in a laboratory freeze-dryer. It covers the three temperatures, how each is measured, the chamber pressure against ice vapour pressure, end-point signals, secondary drying, and the run record. The cycle table at the foot is a template; the numbers in it are placeholders for a generic amorphous peptide formulation with a Tg′ of −32 °C.

Line chart of a freeze-drying cycle: shelf temperature stepping down, holding, then rising in stages; product temperature tracking below it during primary drying; chamber pressure shown as a low flat line; a dashed horizontal line marking the collapse temperature above the product temperature trace
A cycle on one chart. During the long plateau the product temperature sits below the dashed collapse limit; the gap between them is the safety margin.

Three temperatures: Tg′, Tc and the dried-product Tg

On freezing, ice separates and the solutes concentrate into a viscous unfrozen phase. Tg′ is the glass transition temperature of that freeze-concentrate. Below it the concentrate is a rigid glass; above it, it softens and flows. The collapse temperature Tc is the temperature above which a freeze-dried structure loses macroscopic form during drying; it lies a few degrees above Tg′ because the viscous matrix needs time and a margin of softness before it visibly fails 34.

The third temperature belongs to the dried solid. The glass transition of the dried product depends on its residual water: each additional per cent of water lowers it by roughly the order of ten degrees, so a cake dried to 1% water and one at 4% have very different storage tolerance 1. For a crystalline excipient the relevant limit is not Tg′ but the eutectic temperature, which is far higher. FDA's inspection guide expresses the same constraint in older language: product frozen well below its eutectic point, and held 4 to 5 degrees below it during primary drying 8.

Measuring Tg′ by DSC and Tc by freeze-drying microscopy

In a DSC measurement a few milligrams of the formulation solution are sealed in a pan, cooled to about −70 °C and warmed at a controlled rate, commonly 1 to 5 K per minute. The glass transition appears as a step in heat flow. Because the step is small and often overlaps an ice-melting endotherm, it is read from the midpoint on the heating curve, and an annealing step is often added to cause ice to crystallise fully and sharpen the transition. Searles and colleagues showed that annealing both optimises the drying rate and makes Tg′ detectable in systems where it is otherwise obscured 5.

Freeze-drying microscopy puts a thin film of the solution on a cold stage under vacuum, freezes it, and heats it slowly while a drying front advances through the sample. The collapse temperature is recorded as the stage temperature at which the dried region behind the front loses its structure. Pikal and Shah showed that Tc depends strongly on how it is measured, including the heating rate, the criterion for collapse and the thickness of the film, and the true collapse temperature in a vial is a range, not a point 3. Meister and Gieseler compared microscopy collapse temperatures with DSC glass transitions for protein–sugar mixtures and found Tc lay a few degrees above Tg′ with a method-dependent spread 4.

QuantityMethodSampleRead fromTypical uncertainty
Tg′DSC, heating 1 to 5 K per minute, with or without annealing10 to 20 µL of formulation in a sealed panMidpoint of the heat-flow step±1 K; larger if the step is weak
TcFreeze-drying microscopyA few microlitres as a thin film under vacuumStage temperature at onset of structure loss±2 K; depends on criterion and rate
Eutectic temperatureDSC or impedance analysisAs aboveMelting endotherm onset±1 K
Dried-product TgDSC on dried cake, sealed in dry atmosphere5 to 10 mg of cakeMidpoint of the step±2 K; falls as water rises
Determining the critical temperatures. Report the method and the criterion with every value.

Freezing and annealing: ice crystal size and mannitol

Freezing sets the pore structure. Fast freezing gives many small ice crystals and small pores that sublime slowly; slow freezing, or an annealing hold, gives larger crystals and larger pores that sublime faster. Random nucleation makes vials freeze at different degrees of supercooling, and the resulting differences in pore size are a principal source of vial-to-vial variation in drying time. Searles and colleagues describe annealing as a way to reduce that heterogeneity 5.

For a formulation containing a crystallising bulking agent such as mannitol, an annealing hold is also what completes its crystallisation before drying. The hold is set above Tg′ and below the eutectic temperature, commonly around −20 °C for a few hours, then the shelf is cooled again to the freezing floor. An amorphous-only formulation is annealed at a temperature just above Tg′ for a shorter time, or not at all, because prolonged time above Tg′ can let the matrix begin to relax 2. Hold the freezing temperature for long enough that every vial, including the one with the thermocouple, has reached the shelf value.

Primary drying: shelf temperature, pressure and the product-temperature margin

During primary drying the ice sublimes from the top of the frozen plug downward. The product temperature at the sublimation front is set by a balance: heat comes in from the shelf through the vial base and glass, and heat leaves as the latent heat of sublimation. Raising the chamber pressure raises the product temperature at the front; raising the shelf temperature does the same. The design goal is to hold the product temperature at the target, 2 to 3 K below Tc, so that the structure is never at risk while the drying is as fast as that limit permits 12.

Chamber pressure must stay below the vapour pressure of ice at the target product temperature, or the ice does not sublime. The vapour pressure of ice is a tabulated function of temperature 7. Approximate values are 260 Pa at −10 °C, 103 Pa at −20 °C, 38 Pa at −30 °C and 13 Pa at −40 °C. For a target of −34 °C the vapour pressure is about 25 Pa. A chamber pressure well below that, commonly a third to a half of it in practice, leaves a driving force for sublimation without driving the product temperature up to the limit. Run the first cycle with a conservative pressure and a modest shelf temperature, then raise them in steps while watching the product-temperature probe.

Product temperature, °CIce vapour pressure, PaChamber pressure range, Pa
−40134 to 6
−35227 to 11
−303813 to 19
−256321 to 32
−2010334 to 52
Ice vapour pressure at candidate product temperatures, with the chamber pressure range implied by a pressure of a third to a half of it.

End-point signals for primary drying

Primary drying ends when the last ice has gone, and that must be shown, not assumed from elapsed time. Patel and colleagues review the signals available 6. The product-temperature probe rises toward the shelf temperature as sublimation stops. The Pirani gauge, which reads higher than a capacitance manometer when water vapour is present, falls to meet it. The chamber pressure, with the isolation valve closed briefly, stops rising. Each signal is blind to something, and the most reliable practice is to require two to agree 6.

The end of primary drying for the whole batch is later than the end for the probe vial. Add a margin, commonly an hour or more beyond the last signal, before raising the shelf into secondary drying. Beginning secondary drying while ice remains in some vials is the commonest cause of meltback.

Secondary drying and residual moisture target

After the ice has gone, the cake still holds water sorbed on the solid, typically several per cent. Secondary drying removes it at a raised shelf temperature and the same low pressure. The shelf is ramped slowly, about 0.1 to 0.3 K per minute, to avoid heating the cake above the glass transition of the partly dried solid, and held at 20 to 40 °C for several hours 1. The residual water target for peptide material is commonly 1% or less, set from stability data for the formulation. FDA's inspection guide gives no numeric limit and says moisture specifications should be supported by data and by the worst-case, higher-moisture batches 8.

The ramp rate matters because the dried-product glass transition rises as the water falls. A cake at 5% water may have a glass transition near the secondary-drying temperature; a fast ramp to the final shelf value can soften the cake, shrink the pores and trap water inside. Confirm the result by Karl Fischer titration on whole vials.

Stoppering, backfill and vacuum

At the end of the cycle the vials are closed under vacuum or after backfill with dry nitrogen, stoppers seated by the shelf-stoppering mechanism before the chamber is vented. FDA's guide notes the importance of stopper placement and of controlling the final steps of the cycle 8. The aim is a dry headspace and a closure that does not take up water afterwards: rubber stoppers carry sorbed water, and unless they are dried they release it into the dry cake over time. Specify stopper drying in the procedure and record the stopper lot.

The run record and what to compare between batches

StageShelf temperatureChamber pressureDurationEnd-point signal
Loading and equilibration5 °CAtmospheric30 minProbe within 1 K of shelf
Freezing ramp5 to −45 °C at 0.5 K per minuteAtmospheric100 minProbe at −40 °C or lower
Freezing hold−45 °CAtmospheric120 minAll probes constant
Annealing, if mannitol or glycine is present−20 °CAtmospheric180 minHold complete; cool back to −45 °C
Primary drying−25 °C10 PaUntil two end-point signals agreeProbe rise; Pirani meets capacitance gauge; no pressure rise
Secondary drying ramp−25 to 30 °C at 0.2 K per minute10 Pa275 minProbe tracks shelf
Secondary drying hold30 °C10 Pa6 hKarl Fischer on whole vials ≤ 1%
Stoppering and unload20 °CVacuum or dry nitrogen backfillAs requiredStoppers seated; seal integrity
Cycle-parameter template for a generic amorphous formulation with Tg′ −32 °C and Tc −29 °C. All numbers are placeholders for a first development run.
  1. Measure Tg′ by DSC on the exact formulation, with and without annealing, and Tc by freeze-drying microscopy. Record the method, rate and criterion.
  2. Set the target product temperature 2 to 3 K below Tc, or below the eutectic temperature for a crystalline matrix, and take the lower value if both phases are present.
  3. Look up the ice vapour pressure at that temperature and choose a chamber pressure a third to a half of it.
  4. Choose the shelf temperature from experience of the dryer, start low, and raise it in steps over successive runs until the probe reads the target.
  5. Define the end of primary drying by two agreeing signals plus a stated margin, and write that rule in the procedure before the run.
  6. Ramp slowly into secondary drying and hold to the moisture target, confirmed by Karl Fischer on whole vials from several shelf positions.
  7. Archive the shelf, product and pressure traces with the lot record, together with Tg′, Tc, the cycle table as run, and any alarm or deviation.
  8. When comparing batches, compare the traces, the primary drying time to end-point, the residual water by shelf position, and the cake grades, not the cycle summary alone.

Cycle design is an iterative loop: the formulation fixes the temperature limits, the limits fix the target, and the dryer is tuned until the target is met. Because the record is the only evidence of what the product experienced, a cycle that gave an acceptable cake once but was not recorded cannot be repeated 12.

References

  1. Design of freeze-drying processes for pharmaceuticals: practical advicePharmaceutical Research, 2004
  2. Practical Advice on Scientific Design of Freeze-Drying Process: 2023 UpdatePharmaceutical Research, 2023
  3. The collapse temperature in freeze drying: Dependence on measurement methodology and rate of water removal from the glassy phaseInternational Journal of Pharmaceutics, 1990
  4. Freeze-Dry Microscopy of Protein/Sugar Mixtures: Drying Behavior, Interpretation of Collapse Temperatures and a Comparison to Corresponding Glass Transition DataJournal of Pharmaceutical Sciences, 2009
  5. Annealing to optimize the primary drying rate, reduce freezing-induced drying rate heterogeneity, and determine T(g)' in pharmaceutical lyophilizationJournal of Pharmaceutical Sciences, 2001
  6. Determination of end point of primary drying in freeze-drying process controlAAPS PharmSciTech, 2010
  7. Review of the vapour pressures of ice and supercooled water for atmospheric applicationsQuarterly Journal of the Royal Meteorological Society, 2005
  8. Guide to Inspections of Lyophilization of Parenterals (7/93)US FDA, 1993