Quality-by-design (QbD) is a methodology gaining widespread acceptance in the pharmaceutical industry. A core tenet of this
methodology is the idea of establishing the design space of a product or process as a primary R&D goal. Many articles have
been published recently describing the successful application of QbD to process development. By recognizing a liquid chromatography
(LC) instrument as a small process-in-a-box, one can readily see the applicability of QbD to LC method development.
Ira Krull
ICH Q8 defines a design space as "The multidimensional combination and interaction of input variables (for example, material
attributes) and process parameters that have been demonstrated to provide assurance of quality"(1). Two key elements of this
definition warrant brief discussion. First, the phrase "multidimensional combination and interaction" clearly indicates that
the "design space" should be characterized by studying input variables and process parameters in combination, and not by a
univariate (one-factor-at-a-time) approach. Second, the term "design space" is one of many terms used in the Design of Experiments
(DOE) lexicon to denote the geometric space, or region, which can be sampled statistically by a formal experimental design.
Other terms in common use include design region, factor space, and "joint factor space."(2). However, the phrase "demonstrated
to provide assurance of quality" clearly defines this design space as a subset region of an experimentally explored design
region in which performance is acceptable. Therefore, in this article, the term "experimental design region" refers to the
geometric region described by the ranges of LC parameters studied in combination by a formal experimental design. When the
experimental results are of reasonable quality, DOE can translate the experimental design region into a "knowledge space"
within which all important instrument parameters are identified, and their effects on method performance are fully characterized.
As DOE is fundamentally a model-building exercise, this translation is accomplished by deriving equations (models) from the
experimental results. Given that the equations have sufficient accuracy and precision, they then can be used to directly establish
the ICH-defined design space. The instrument parameter settings in the final LC method, thus, represent a point within the
design space. The design space itself represents a region surrounding the final method bounded by edges of failure; parameter
setting combinations inside the bounds have acceptable method performance, parameter setting combinations outside the bounds
do not.
QbD for Formal Method Development
Many pharmaceutical companies have adopted a two-phased approach to LC method development work in which column–solvent screening
experiments are done as Phase 1, followed by formal method development as Phase 2. Part II of this article series described
a QbD methodology for Phase 1 in which formal experimental design is used to study column type, organic solvent type, and
pH. It also introduced the use of novel Trend Responses to overcome knowledge limitations common to column–solvent screening
studies due to the compound coelution and changes in compound elution order across experiment trials (peak exchange). Figure
1 presents a QbD-based workflow proposed for Phase 2 experiments by which an LC process design space can be established. As
for the column–solvent screening work, a formal experimental design approach is used in Phase 2.