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The value (1 - ɑ) represents the proportion of acetic acid which is undissociated, this is dependent on a number of factors but principally on the pH of the aqueous phase of the product; using the pKa (4.76 at 25°C) for acetic acid and the pH of the aqueous phase, (1 - ɑ) can be calculated using the Henderson–Hasselbalch equation, equation 2, where pKa is the negative logarithm of the ionization constant (K) of an acid, this is the pH of the solution in which half of the acid molecules are ionised. Note that the pKa value is not an absolute one; it will vary with the ionic strength of a solution so salt addition for example will change the value.

Equation 2,

Equation 2 can be simplified and rearranged to give:

(1 - ɑ) = 1/ (10pH-pKa +1) and

(1 - ɑ) can then be calculated using e.g. an Excel spreadsheet.  Using Excel, the data can be entered as
=1/ (10^ (pH- pKa) +1)

where pH and pKa are replaced with their numerical values or appropriate spreadsheet cell references. This is also shown in the Excel graphic.

Using this formula the (1 - ɑ) values at say pH 3, and 5 can be calculated as 0.983 and 0.365 respectively. This means that at pH 3, 98 % of the acetic acid is undissociated compared with only 37 % at pH 5 (values have been rounded).

Using equation 1 a technologist can adjust the formulation of cold-filled acidic pickles, sauces and food dressings to obtain a desired CIMSCEE value by varying e.g. the concentration of acetic acid (which will also affect the pH), salt and sugar in the product.

The CIMSCEE model is based on the work of Tuynenberg Muys (1971).

Mechanism of antimicrobial activity of  acetic acid

While acetic acid will decrease the pH and that in itself is inhibitory the general mechanism behind the inhibitory effect is considered to be associated with the undissociated acid. As pH decreases the proportion of acetic acid in its undissociated form increases; at pH 7 <1% is in this form increasing to some 98% at pH 3.

The undissociated acid is understood to readily pass through the cell wall of microorganisms and in the relatively high pH of the cytoplasm, dissociates into hydrogen and acetate ions. The accumulation of hydrogen ions results in the internal pH of the cytoplasm dropping, damaging essential enzyme systems and ultimately causing cell death. The acetate anion may also exert antimicrobial effects.

Casey and Condon (2002) have shown that adding NaCl to broth containing E. coli  and acetic acid results in the pH of the cytoplasm of E. coli increasing; this may be the explanation for the acid protective effect experienced when salt is added to an acidic food product.

Limitations of the CIMSCEE model

Food spoilage

The CIMSCEE model has several limitations; these are largely concerned with the design of Tuynenberg Muys (1971) original studies e.g. Tuynenberg Muys (1971) conducted his work at 20°C and hence this model cannot be easily applied to food stored at refrigerated temperatures.

Products with Σ values >63 are generally regarded as microbiologically stable at ambient temperatures. However, if they had been contaminated with the mould Moniliella acetoabutans, which can tolerate high concentrations of acetic acid, they will spoil; Moniliella acetoabutans can utilise acetic acid as a carbon source. Control is at the production level where this mould must be eliminated from the environment.

Food safety

Modern commercially produced acidic sauces and dressings produced using acetic acid are not high-risk vehicles for food poisoning and  have a good safety history. However, there has been at least one outbreak of Escherichia coli O157:H7 associated with mayonnaise and mayonnaise based dressings (Weagant et al. 1994). This along with observations by several researchers that E. coli under certain circumstances can persist for significant periods in products produced using acetic acid has led to a number of investigations of the survival of  E. coli in these products and indirectly on the utility of the CIMSCEE safety value for assuring consumer safety.

These studies have identified that the model may give false-positives (survival predicted when experimental data showed death) when tests are undertaken at temperatures of 30°C (Chapman et. al., 2006). More importantly work has identified that Escherichia coli including VTEC strains can survive for days and in some cases many weeks when mayonnaise is  held at low temperatures.

It is clear that the absence of a temperature dependant variable is a weakness in this model; the antimicrobial effects of acetic and similar organic acids tend to increase with temperature.

Other work has revealed that the CIMSCEE model gave false negatives (predicted death when survival occurred) when particular salt and or sucrose combinations were tested e.g. when the salt concentration was > 2.5% and/or when the sucrose concentration was > 4%, resulting in the suggestion that the model fails to take interactions between salt and sucrose into account (Chapman et. al., 2006).  Note the protective effects of salt and / or sugar for E. coli exposed to low pH have been found by others (Casey and Condon, 2002; McKellar et. al., 2002).

Literature Cited

Casey, P. G., and Condon, S. (2002). Sodium chloride decreases the bactericidal effect of acid pH on Escherichia coli O157:H45. Int. J. Food Microbiol. 76:199–206.
Chapman, B., Jensen, N.,  Ross, T. and Cole, M. (2006). Salt, alone or in combination with sucrose, can improve the survival of Escherichia coli O157 (SERL 2) in model acidic sauces. Appl. Environ. Microbiol. 72, 5165–5172.
Comité des Industries des Mayonnaises et Sauces Condimentaires de la Communauté Économique Européenne. (1992). CIMSCEE code for the production of microbiologically safe and stable emulsified and non-emulsified sauces containing acetic acid. Comité des Industries des Mayonnaises et Sauces Condimentaires de la Communauté Économique Européenne, Brussels, Belgium.
McKellar, R. C., Lu, X.  and Delaquis, P. J. (2002). A probability model describing the interface between survival and death of Escherichia coli O157:H7 in a mayonnaise model system. Food Microbiol. 19, 235–247.
Tuynenburg Muys, G. (1971). Microbial safety in emulsions. Process Biochem. 6:25-28.
Weagant, S. D., Bryant, J. L. and Bark, D. H. (1994) Survival of Escherichia coli O157:H7 in mayonnaise and mayonnaise-based sauces at room and refrigerated temperatures. J. Food Prot. 57, 629-631.