Martinus A.J.S. van Boekel
6 min
Food quality is not static; it changes over time due to chemical, biochemical, microbial, and physical reactions. This paper argues that managing food quality effectively requires moving beyond trial-and-error methods toward quantitative kinetic modeling. By treating quality indicators—such as color, nutrient content, or microbial safety—as variables in mathematical equations, food scientists can better predict and control the shelf life and safety of products.
At its core, food technology is a battle against thermodynamic instability. Kinetic models provide the necessary tools to describe the rate at which these changes occur. The author reviews standard approaches, including zero-, first-, and second-order reaction models, and discusses how temperature dependence is typically handled using the Arrhenius equation. However, the paper warns that these principles, while robust for simple elementary chemical reactions, are often applied to complex food systems where multiple reactions interact, potentially leading to misleading results if the underlying assumptions are not met.
A significant portion of the review is dedicated to the pitfalls of current modeling practices. The author highlights that researchers often rely on linear transformations (e.g., log-plots) to estimate parameters, which can bias results by distorting error structures. Instead, the paper advocates for nonlinear regression and the use of statistical tools like the Akaike criterion for model discrimination. Furthermore, the author stresses the importance of the principle of parsimony—choosing the simplest model that provides an acceptable fit—to avoid over-parameterization and the resulting propagation of uncertainty.
To improve the reliability of food quality models, the author suggests several research priorities: better integration of food matrix effects, more rigorous statistical design of experiments, and the adoption of advanced techniques like Monte Carlo simulations to quantify uncertainty. Ultimately, the goal is to bridge the gap between fundamental scientific understanding and practical engineering applications, enabling more precise control over food quality in the supply chain.
ABSTRACT: This article discusses the possibilities to study relevant quality aspects of food, such as color, nutrient content, and safety, in a quantitative way via mathematical models. These quality parameters are governed by chemical, biochemical, microbial, and physical changes. It is argued that the modeling of such quality aspects is in fact kinetic modeling. Therefore, attention is paid to chemical kinetics, and its possibilities and limitations are discussed when applied to changes occurring in foods. The discussion is illustrated with examples from the literature. A major difficulty is that principles from chemical kinetics are strictly speaking only valid for simple elementary reactions, and foods are all but simple. Interactions in the food matrix and variability are 2 complicating factors. It is discussed how this difficulty can be tackled, and research priorities are suggested to come to better models in food science, and thereby to a better control of food quality.
Alex: It's the classic overfitting trap, dressed up in food science clothing. [[RP_SECTION:microbial-inactivation-models|Microbial Inactivation Models]]
Sam: Precisely. And the same logic applies to microbial inactivation, where the Bigelow model has dominated for decades largely through regulatory inertia — it was developed when computational power was essentially nonexistent. The model reduces microbial inactivation to a linear log-plot, which is tractable, but most real inactivation curves are non-linear. Forcing a linear fit introduces systematic bias that tends to underestimate microbial survival at the tail of the distribution.
Alex: Which is exactly where you don't want to be wrong, from a food safety standpoint.
Sam: Correct. The Weibull model addresses this directly. By introducing a shape parameter, it captures the curvature that Bigelow structurally cannot. When inactivation curves show tailing — where a resistant subpopulation survives longer than the linear model predicts — the Weibull model accommodates that. Bigelow treats it as noise. That's not a minor modeling choice; it has real consequences for safety margins.
Alex: So the Weibull flexibility isn't just statistical convenience — it's tracking a physical reality about population heterogeneity in microbial resistance. [[RP_SECTION:diffusion-and-matrix-complexity|Diffusion and Matrix Complexity]]
Sam: Exactly. And there's a parallel issue on the chemical side: diffusion limitation. When we model something like the Maillard reaction, the default assumption is a dilute, ideal solution where reactants move freely and the rate is purely a function of temperature and concentration. But in real food matrices — gels, emulsions, high-solids systems — reactants are often mobility-constrained. The rate is governed by how fast molecules can find each other, not just by the temperature-dependent energy barrier.
Alex: So the activation energy you report isn't actually an activation energy in the thermodynamic sense — it's a composite of chemical barriers and physical transport limitations bundled together.
Sam: That's exactly van Boekel's point. It's a statistical artifact of fitting a model that wasn't designed for the system. And this is where the more explicitly empirical approaches — like those advocated by Peleg — have a certain intellectual honesty to them. If you use a purely empirical model and acknowledge it as a descriptive tool, you're not making false claims about molecular mechanism. You're saying: this fits the data in this range, under these conditions, and that's what it is.
Alex: There's something almost philosophically clarifying about that. Stop pretending the parameter means something it doesn't. [[RP_SECTION:epistemic-discipline-in-modeling|Epistemic Discipline in Modeling]]
Sam: That's the necessary shift. The field needs to stop using parameters like activation energy as if they reflect elementary reactions when the underlying system is heterogeneous, diffusion-limited, and multi-reaction. The honest path is semi-empirical models with explicit acknowledgment of their scope conditions — what temperature range, what moisture content, what matrix. Models built that way are actually useful for engineering decisions. Models that overstate their mechanistic grounding are convenient until they fail, and in food safety, that failure can be consequential.
Alex: So the core message is less about which model to use and more about epistemic discipline — knowing what your model actually encodes versus what you're claiming it encodes.
Sam: Precisely. Van Boekel's review is ultimately a call for that discipline: better experimental design, appropriate model selection criteria, and honest representation of what the parameters mean. The food matrix is genuinely complex — the models should respect that complexity rather than paper over it. Thanks for listening to ResearchPod.