Properties of Milk and Its Components
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1 CHAPTER 1 Properties of Milk and Its Components Milk and dairy-based ingredients are used as components of many food products. Their contributions consist of unique flavor, desirable texture, excellent nutritive value, and a widely accepted natural image. In many instances, the success of the product in the marketplace is significantly enhanced by incorporation of traditional functional ingredients familiar to the consumer. Thus, dairy ingredients provide a consumer-friendly label on packaged foods. Dairy ingredients contribute a number of characteristics critical to a food product. These include the emulsifying and stabilizing ability of caseinates, the gelling properties of whey protein concentrates and isolates, the water-absorption capacity of high-heat nonfat dry milk, and the browning of lactose during heat processing. Furthermore, the crystallization characteristics of lactose and the hydrolytic activity of the enzyme lactase are important in confectionery and frozen products. In addition, butter flavor carryover can be achieved with enzyme-modified butterfat and various cheese flavors imparted by enzyme-modified cheeses. Therefore, a food developer can select an appropriate dairy-based ingredient to create certain desirable attributes in foods. An understanding of the functional properties of dairy ingredients allows food technologists to utilize their potential contribution to product characteristics to meet consumer expectations. Milk Composition Milk may be defined various ways. Chemically speaking, milk is a complex fluid in which more than 100 separate chemical compounds have been found. Its major components are water, fat, lactose, casein, whey proteins, and minerals (or ash) in amounts varying with the milk of various species of animals. However, for any given species, the range of values for the constituents of milk is fairly constant. From a physiological standpoint, milk is the secretion of the normally functioning mammary gland of the females of all mammals, which is produced for some time following parturition for the nourishment of the young of the species during the initial period of growth. In terms of physical chemistry, milk is an opaque, whitish fluid of multidisperse phases. The true solution contains lactose, vitamins, In This Chapter: Milk Composition Constituents of Milk Major Constituents Minor and Trace Constituents Physical Properties of Milk Color Flavor Density and Specific Gravity Surface Tension Foaming Viscosity Specific Heat Electrical Conductivity Freezing Point Boiling Point Refractivity Caseinates Compounds derived by the interaction of alkali with casein, the major milk protein. Whey The watery liquid remaining after the curd is formed in the manufacture of cheese and fermented or acidified dairy products. Lactose Milk sugar, composed of glucose and galactose. Lactase The enzyme that splits lactose (milk sugar) into glucose and galactose. 1
2 2 / CHAPTER ONE Ash The residue left when a substance is incinerated at a very high temperature for analysis. Parturition The act or process of giving birth. Colloidal phase The portion of milk containing dispersed particles ranging in diameter from 10 5 to 10 7 cm. Emulsion A homogeneous dispersion of two dissimilar immiscible liquid phases. If oil is dispersed in water, it is an oil-in-water (O/W) emulsion. If water is dispersed in oil, it is a water-in-oil (W/O) emulsion. Low-fat milk Milk containing at least 8.25% solids-not-fat and with fat reduced to deliver not more than 3 g of milkfat per serving of 8 fl oz. Also termed light milk. Nonfat milk Milk containing at least 8.25% solids-not-fat and with fat reduced to deliver not more than 0.5 g of milkfat per serving of 8 fl oz. Also termed fat-free or skim milk. Colostrum The first milk secreted by an animal just before and after the birth of its young. Oestrum/Estrus Period of sexual receptivity (heat) in female mammals. Casein micelles Large colloidal particles that are complexes of protein and salt ions, principally calcium and phosphorus. acids, enzymes, and some inorganic salts. The colloidal phase contains casein, calcium phosphate, and globular proteins. Fat exists in the form of an oil-in-water type of emulsion, with fat globules varying from 0.1 to 22 µm in diameter. As a food ingredient or consumed by itself, milk provides an excellent nutritional profile in the human diet. Nutrition experts consider milk an exceptionally complete food because it contains significant levels of required nutrients such as protein, fat, carbohydrates, minerals, and several vitamins. Low-fat and nonfat milks are increasingly popular in fat-reduced and fat-free food formulations. Worldwide, milk of the cow is by far of more commercial importance than milk of any other mammal. In the United States, the term milk legally refers to cow s milk. Milk from other species is labeled to indicate the type: sheep s milk, goat s milk, etc. Milk is the whole, clean lacteal secretion of one or more healthy cows, properly fed and kept, excluding that obtained within 15 days before calving and three to five days after. Colostrum, the milk secreted immediately after giving birth, is not considered milk from a legal standpoint. The U.S. Public Health Service s definition of Grade A milk is the lacteal secretion practically free from colostrum, obtained by complete milking of one or more healthy cows, which contains not less than 8.25% milk solids-not-fat (MSNF) and not less than 3.25% milkfat. Constituents of Milk Milk is composed of water, milkfat, and MSNF. The MSNF consists of protein, lactose, and minerals. These solids are also referred to as skim solids, or serum solids. The term total solids refers to the serum solids plus the milkfat. The major components of commercial raw milk (1 3) are illustrated in Figure 1-1. On a dry basis, the composition of milk solids is shown in Figure 1-2. The composition of the MSNF portion of milk is given in Figure 1-3. MAJOR CONSTITUENTS The major constituents of milk vary more widely in individual cow s milk than in pooled market milk. Factors affecting the milk such as breed of cow, intervals of milking, stages of milking, differ- Milk Milk solids, 12.6% Water, 87.4% Fat, 3.7% Milk solids-not-fat, 8.9% Protein, 3.4% Lactose, 4.8% Minerals, 0.7% Casein, 2.8% Whey protein, 0.6% Fig Gross composition of milk, showing major constituents.
3 PROPERTIES OF MILK \ 3 ent quarters of udder, lactation period, season, feed, nutritional level, environmental temperature, health status, age, weather, oestrum, gestation period, and exercise are known to cause variations in fat, protein, lactose, and mineral levels in milk derived from individual cows (4,5). In general, these variations tend to average out but display an interesting seasonal pattern in commercial milk used by food processors, which may have an important impact on properties of the finished products. An approximately 10% variation in fat and protein is observed in milk received in July and August (lowest level) compared to that received in October and November (highest level). Variations in protein and fat during the year affect yogurt and cheese manufacture and whey protein production. For example, appropriate adjustments, such as fortification with additional nonfat milk solids, are necessary in yogurt production to ensure uniform viscosity throughout the year. Milk proteins. Caseins make up approximately 80% of milk proteins. The remaining proteins are classified as whey proteins. Milk proteins and their concentration in milk are shown in Table 1-1. TABLE 1-1. Milk Proteins a Concentration Type Nomenclature (g/l of milk) Casein α s1 -Casein α s2 -Casein 3 4 β-casein 9 11 κ-casein 3 4 γ-casein 1 2 Whey protein 5 7 β-lactoglobulin 2 4 α-lactalbumin Bovine serum albumin Immunoglobulins Proteose peptones a From: Functional Properties of Milk Proteins, by O. Robin, S. Turgeon, and P. Paquin, in: Dairy Science and Technology Handbook, Vol. 1, Y. H. Hui, Ed by VCH Publishers. Used by permission of John Wiley & Sons, Inc. Fat 29.36% Casein 22.22% Ash 5.56% Lactose 38.1% Whey Protein 4.76% Fig Composition of milk solids of whole milk. Casein 31.18% Fat 1.08% Whey Protein 7.53% Lactose 52.15% Ash 8.06% Fig Composition of nonfat solids of skim milk. Besides having a biological and nutritional role, caseins and caseinates are important because of their structure, charge, and physical properties. Caseins become insoluble when the milk is acidified and the ph is reduced to 4.6, while the whey proteins remain in solution. Caseins exist in milk as particles called micelles, which are made up of calcium phosphate and casein complexes. The micelles are spherical particles varying in size from 50 to 200 nm and containing thousands of protein molecules. Caseins are further divided into α s1, α s1, β, and κ fractions. A γ-fraction is derived from the breakdown of β-casein by inherent proteolytic enzymes of milk. Each of
4 4 / CHAPTER ONE Rennin A milk coagulatory enzyme found in the gastric juice of the fourth stomach of calves. Serum phase The watery portion of a fluid; the portion of milk without fat globules and casein micelles. Lipids A class of compounds found in nature that are soluble in organic solvents such as ether or hexane. Examples are triacylglycerols, cholesterol, and vitamin A. the casein fractions exhibits distinct chemical properties. For example, α s1 and α s2 caseins have eight and phosphoserine units, respectively. β-casein has five phosphoserine units. All the casein fractions except κ-casein are precipitated by calcium, whereas κ- casein, which contains one phosphoserine unit, is not calcium-sensitive. Only κ-casein contains a carbohydrate moiety. Calcium (30 mm) and phosphate (20 mm) are complexed with α s1, α s2, and β- caseins, whereas κ-casein stabilizes the colloidal particles (micelles) by surface binding. During cheesemaking, the stabilizing κ-casein is cleaved by the enzyme rennin, resulting in destabilization of the micelle and subsequent curd formation. Whey proteins are located in solution in the serum phase of milk along with minor proteins and enzymes, including lactoperoxidase, lactotransferrin, lysozyme, glycoprotein, serum transferrin, and degradation products derived from casein. Caseins and whey proteins are distinguishable from each other by their physical and chemical characteristics (Table 1-2). Caseins have a distinct, disordered molecular structure that lacks stabilizing disulfide bridges. This characteristic structure makes the casein fraction precipitate in acidic conditions as well as in the presence of di- and polyvalent ions of various salts. Casein molecules exist naturally in an open and extended state. Therefore, heat has little or no effect on them. However, severe heat treatment results in detachment of phosphate groups as well as formation of brown pigments by interaction with milk sugar (the Maillard reaction). Whey proteins have a relatively more ordered molecular structure, which contains disulfide linkages. Accordingly, they are not vulnerable to precipitation under acidic conditions or by polyvalent ions. Like other globular proteins, they can be heat-denatured, resulting in gel formation. β-lactoglobulin complexes with κ-casein in milk subjected to rigorous heat treatment. In food systems, milk proteins contribute to properties of the final product. Table 1-3 summarizes the major functional characteristics of milk proteins. Milkfat. The fat in milk occurs in microscopic globules in an oil-inwater type of emulsion. The globules vary in size from 0.1 to 22 µm in diameter. The lipid content of milkfat is 97 98% triacylglycerols, 0.2 1% phospholipids, % sterols, and traces of fatty acids, as well as vitamins A, D, E, and K. Milkfat is made up of 65% saturated, TABLE 1-2. Major Physical and Chemical Differences in Milk Proteins Caseins Whey Proteins Strong hydrophobic regions Little cysteine content Random coil structure Heat stable Precipitate in acidic conditions and insoluble at ph 4.6 Precipitated by di- and polyvalent ions Both hydrophobic and hydrophilic regions Both cysteine and cystine present Globular structure with helical contents Easily heat denatured and insolubilized Stable in mild acidic environment
5 PROPERTIES OF MILK \ 5 TABLE 1-3. Functional Characteristics of Milk Proteins Functionality Casein or Caseinates Whey Proteins Hydration, water binding Very high, minimum at ph 4.6 Water-binding capacity increases with denaturation of the protein Solubility Insoluble at ph 4.6 Soluble at all ph levels. If denatured, insoluble at ph 5 Viscosity High at or above ph 6 Low for native protein. Higher if denatured Gelation No thermal gelation except in the Heat gelation at 70 C (158 F) or higher; presence of Ca +2. Micelles gel influenced by ph and salts with rennin Emulsifying ability Excellent at neutral and basic ph Good except at ph 4 5, if heat denatured Foam formation Good overrun. κ-casein best, Good overruns. β-lactoglobulin better followed by β- and α s1 -caseins. than α-lactalbumin Poor foam stability Flavor binding Good Retention varies with degree of denaturation 32% monounsaturated, and 3% polyunsaturated fatty acids. It contains 7% short-chain fatty acids (C4 C8), 15 20% medium-chain fatty acids (C10 C14), and 73 78% long-chain fatty acids (C16 or higher). The cholesterol content of whole milk (3.3% fat) and skim milk is 14 mg/100 ml and 2 mg/100 ml, respectively. The functional properties of milkfat are attributed to its fatty acid make-up. Milk sugar. Lactose is the major carbohydrate of milk, occurring at a % level. It consists of two forms (α and β) that differ in their sweetness and solubility. The α-form is less soluble (70 g/l at 15 C) than the β-form. Crystallization is important in the manufacture and utilization of several dairy ingredients. An equilibrium mixture of α- and β-lactose, formed by mutarotation, exhibits a solubility of 170 g/l of water. β-lactose is slightly sweeter than the α-form. Overall, in sweetening power, lactose is only 16 33% as sweet as sucrose. The sweetening power is concentration dependent. Feathering The limited coagulation of milk proteins when cream is added to hot liquid (e.g., coffee), characterized by the appearance of small particles on the surface. Homogenization A process for reducing the size of milkfat globules in milk. Upon undisturbed storage at 7 C, homogenized milk shows no visible cream separation. MINOR AND TRACE CONSTITUENTS The typical composition of major milk minerals is shown in Table 1-4. Mineral concentration in milk is related to physical-chemical equilibria, which are important in processing, nutritive value, and shelf life of dairy products. Minerals include chloride, PO 4 2+, and citrates of K +, Na +, Ca 2+, and Mg 2+. Their concentration is <1% in milk, but they are involved in heat stability and alcohol coagulation of milk, age-thickening of sweetened condensed milk, feathering of coffee cream, rennin coagulation, and clumping of fat globules upon homoge- TABLE 1-4. Major Mineral Composition of Milk Concentration Concentration (mg/100 ml Range Milk Salt Constituents whole milk) (mg/100 ml) Calcium Magnesium Phosphorus (total) Phosphorus (inorganic) Sodium Potassium Chloride Sulfate Carbonate (as CO 2 ) Citric acid
6 6 / CHAPTER ONE Ultrafiltration A process that uses a semipermeable membrane to separate fractions based on molecular size. Electrodialysis A process that uses electric charge to separate substances in solution (in this case, removing minerals from whey or milk fractions). TABLE 1 5. Trace Minerals of Milk Constituent Concentration (µg/100 ml of milk) Iron Zinc Copper Manganese 2 5 Iodine 2 6 Fluoride 3 22 Selenium Cobalt Chromium Molybdenum Nickel 0 5 Silicon Vanadium 0 31 Tin 4 50 Arsenic 2 6 nization. The calcium level of milk influences the firmness of curd during cheesemaking. Ash, the white residue after incineration of a given weight of milk, is used as a measure of the mineral content of milk. It is not identical to milk mineral level because of decomposition and volatilization of certain minerals due to heat. Ash contains carbonates derived from organic constituents; sulfates from proteins; phosphate, partly from casein, which may contain approximately 1.62% phosphate; and chloride, which is partly lost (45 50%). Citric acid is completely lost. The average ash content is 0.70%, which is equivalent to 0.90% minerals. All the minerals considered essential for human nutrition are found in milk. They exist in milk in different states. Sodium, potassium, and chloride are ionic forms and in true solution. They permeate freely across the membrane during ultrafiltration and electrodialysis of milk and whey. Calcium, magnesium, inorganic phosphorus, and citrate exist in both colloidal and diffusible forms, depending on the ph of milk. Approximately 20 30% of diffusible calcium and magnesium exists as free ions and the remainder as salts of citrate and phosphate. As the ph of milk drops, the colloidal form is converted progressively to the ionic form. At ph 4.4, most of the minerals are in diffusible form. By lowering the ph of milk or whey, protein concentrates of low mineral content and different mineral ratios can be produced. Trace elements are those constituents found in the parts per million level in milk. Table 1-5 shows their levels. In addition, several nonprotein nitrogen compounds, vitamins, and some organic materials are present in milk (7, Table 1-6). Physical Properties of Milk COLOR The color of milk is perceived by consumers to be indicative of purity and richness. Its white color is due to the scattering of reflected light by the inherent ultramicroscopic particles, fat globules, colloidal casein micelles, and calcium phosphate (5). The intensity of white color is directly proportional to the size and number of particles in suspension. Homogenization increases the surface area of fat
7 PROPERTIES OF MILK \ 7 globules significantly as a result of the breakup of larger globules. Accordingly, homogenized milk and cream are whiter than their unhomogenized counterparts. Lack of fat globules gives skim milk a blue tinge. Cow s milk contains the pigments carotene and xanthophyll, which tend to give a golden yellow color to the milkfat. FLAVOR The flavor of milk is a property difficult to define, but there is no doubt that taste and aroma are critical to the assessment of milk. Flavor constitutes a critical criterion of quality for the consumer. It is a sensory property in which odor and taste interact. The sweet taste of lactose is balanced against the salty taste of chloride, and both are somewhat moderated by proteins. This balance is maintained over a fairly wide range of milk composition even when the chloride ion level varies from 0.06 to 0.12%. Saltiness can be detected by sensory tests in samples containing 0.12% or more of chloride ions and becomes marked in samples containing 0.15%. Some workers attribute the characteristic rich flavor of dairy products to the lactones, methylketones, certain aldehydes, dimethyl sulfide, and certain short-chain fatty acids. Although milk has a clean, pleasantly sweet flavor, it is quite bland, and therefore any off-flavors are readily discernible. Off-flavors result when the balance of flavor compounds is altered by microbiological action, dairy farm or processing conditions, or chemical or biochemical reactions. Appendix A describes off-flavors and gives potential causes. DENSITY AND SPECIFIC GRAVITY The density of milk with 3 5% fat averages g/cm 3. Accordingly, the weight of 1 L of milk is 1.03 kg. To convert the weight of milk from kilograms per liter to pounds per gallon, the number is multiplied by The average specific gravity of milk at 15.5 C (60 F) is It varies from to in commercial milk. The specific gravities of milkfat (0.93), MSNF (1.62), and water (1.0) determine the specific gravity of milk. Specific gravity is increased by the removal of fat and lowered by the addition of water. Density Mass per unit volume. Specific gravity Ratio of the density of a product and the density of water at the same temperature. TABLE 1 6. Other Trace Components of Milk a Constituent Concentration per 100 ml of Milk Vitamins A 40 µg retinol equivalent B B 1 45 µg B µg Niacin 90 µg B 6 50 µg Pantothenic acid 350 µg Biotin 3.5 µg Folic acid 5.5 µg B µg C 2 mg D 4 IU E 100 µg K 5 µg Nonprotein nitrogen compounds (NPN) Total NPN mg Urea N mg Creatine N mg Uric acid N mg Orotic acid N mg Choline mg N-acetylneuraminic acid mg Miscellaneous Lactic acid mg Acetic acid mg Formic acid mg a From: Chemistry and Physics, by H. D. Goff and A. R. Hill, in: Dairy Science and Technology Handbook, Vol. 1, Y. H. Hui, Ed by VCH Publishers. Used by permission of John Wiley & Sons, Inc.
8 8 / CHAPTER ONE Surface tension Forces causing a reduction in surface area, which is a characteristic property of a liquid. Protease An enzyme that attacks and hydrolyzes proteins. Viscosity Resistance to flow. A measure of the friction between molecules as they slide past one another. SURFACE TENSION Surface properties are involved in adsorption phenomena and the formation and stability of emulsions. They are relevant to creaming, fat globule membrane function, foaming, and emulsifier use in dairy products. Normal cow s milk has an inherent surface activity. Its surface tension approximates 70% of that of water. The surface tension of whole milk is usually about mn/m (or dyn/cm) at 20 C. The surface tension of skim milk is mn/m. For cream, it is approximately mn/m (8,9). Casein, along with the proteolysis products protease-peptones, is largely responsible for the surface activity. Whey proteins make little contribution. Fat reduces surface tension by a physical effect. Lactose and most of the salts tend to raise it when they are present in true solution. Surface tension decreases as milk temperature rises. Processing treatments such as heating, homogenization, and shear tend to increase surface tension. FOAMING The formation of stable foam depends upon two main factors. First, the lowering of the surface tension allows the gathering and spreading of the surface-active components into thin films. Second, the films must be sufficiently elastic and stable to prevent the coalescence of the gas cells. A stable foam is thus formed when the surface tension of the liquid is not great enough to withdraw the film from between the gas cells and when the stabilizing agent has great internal viscosity. Foaming of milk is at a minimum at C. At 60 C, the foam volume is independent of the fat content. Below 20 C and above 30 C, the foaming tendency appears to increase. Fat tends to stabilize the foam formed below 20 C, for instance, during churning. Skim milk produces slightly more stable foam above 30 C than whole milk or light cream. Foaming properties affect handling of milk products and how dairy-based ingredients are incorporated into other products. VISCOSITY Whole milk and skim milk display viscosities of and cp (or mpa/sec) at 20 C, respectively (4,8). Whey has a viscosity of 1.2 cp. The viscosity of milk and cream creates the impression of richness to the consumer. From an organoleptic standpoint, viscosity contributes to mouthfeel and flavor release. The casein micelles of milk contribute more to the viscosity of milk than any other constituent. Viscosity varies not only with changes in the physical nature of fat but also with the hydration of proteins. Alterations in the size of any dispersed constituents result in viscosity changes. The fat contributes less than casein but more than whey proteins. When fat globules are greatly subdivided by homogenization, an increase in viscosity is observed. The viscosity of skim milk decreases on heating to 62 C, after which it increases,
9 PROPERTIES OF MILK \ 9 apparently due to changes in protein hydration. An increase of temperature causes a marked reduction of viscosity. For example, at 20 C, milk is about half as viscous as at 0 C and at 40 C is approximately one-third of the value at 0 C. SPECIFIC HEAT The specific heat of milk products is a function of their composition. The values for whole milk, skim milk, 40% cream, butter, and whey at 15 C are 0.93, 0.95, 0.68, 0.53, and 0.97 BTU/lb F, respectively (3.89, 3.97, 3.35, 2.21, and 4.06 kj/kg K, respectively). Specific heat Number of calories required to raise the temperature of 1 g of a substance by 1 degree C. Electrical conductivity The reciprocal of electrical resistance exhibited by a 1-cm cube of conductor (solution containing electrolytes). ELECTRICAL CONDUCTIVITY Current passes through the milk by virtue of the activity of its ionic mineral constituents, of which the chloride ions carry 60 68% of the current. There is therefore a close correlation between the electrical conductivity of milk and its chloride content. The electrical conductivity of normal milk corresponds to that of approximately 0.25% sodium chloride solution (w/w) and ranges from 45 to 55 A v 1 m -1 (8) or x 10 4 mho (1). Conductivity of milk is the basis of the new ohmic process for sterilizing milk. Lactic acid accumulates as a result of fermentation during the manufacture of yogurt and fermented dairy products, converting calcium and magnesium to ionic form and thereby increasing the conductivity reading. Thus, the progress of fermentation can be followed by increases in the conductivity of the yogurt base. Also, demineralization of whey and its fractions, leading to loss of ionic minerals, is monitored using a conductivity meter. FREEZING POINT The freezing point of milk is generally expressed as degrees Hortvet (H), reflecting the commonly used Hortvet crysoscope procedure. Determination of freezing point is a parameter widely used in the industry for detection of adulteration of milk with water. The freezing point of milk has a relatively narrow range (from to C, the average being C). It corresponds to the freezing point of an 0.85% sodium chloride solution (w/w). Addition of water raises the freezing point, and readings above support strong suspicion of watering the milk. As little as 3% water added to milk can be detected by this method. Lactose and chloride are the major milk constituents responsible for 70 80% of the overall depression in the freezing point of milk. BOILING POINT A solution boils at a higher temperature than does the pure solvent, according to the concentration of the dissolved substance. The boiling point of milk is C. The milk constituents in true solution are mainly responsible for the elevation of the boiling point above 100 C. Elevation of the boiling point is based on the same
10 10 / CHAPTER ONE Refractive index A physical property of a substance that relates to how light is refracted from the material. Usually used to indirectly measure some other property such as concentration. principles as depression of freezing point. However, for detecting added water, the freezing point method is far superior on the grounds of accuracy and convenience. REFRACTIVITY The refraction of light by a solution is a function of the molecular concentration of the solute in solution. Each solute maintains its own refractivity, and the refractive index of a mixture is that of the total of the refractive indices of the substances plus that of the solvent. The components of milk contributing to its refractive index in descending order of importance are water, proteins, lactose, and minor constituents. Whey proteins are more important than casein. The refractive index of milk at 20 C is The refractive index of butterfat is distinct enough to indicate its authenticity. References 1. National Dairy Council Newer Knowledge of Milk and Other Fluid Dairy Products. The Council, Rosemont, IL. 2. Varnum, A. H., and Sutherland, J. P Milk and Milk Products. Chapman & Hall, New York. 3. Harper, W. J., and Hall, C. W Dairy Technology and Engineering. Avi Publishing Co., Westport, CT. 4. Wong, N. P., Jenness, R., Keeney, M., and Marth, E. H., Eds Fundamentals of Dairy Chemistry, 3rd ed. Van Nostrand Reinhold, New York. 5. Goff, H. D., and Hill, A. R Chemistry and physics. In: Dairy Science and Technology Handbook, Vol. 1. Y. H. Hui, Ed. VCH Publishers, New York. 6. Robin, O., Turgeon, S., and Paquin, P Functional properties of milk proteins. In: Dairy Science and Technology Handbook, Vol. 1. Y. H. Hui, Ed. VCH Publishers, New York. 7. Riel, R Composition and physicochemical structure of milk. In: Dairy Science and Technology, Principles and Application. Les Presses de L Universite Laval, Quebec, Canada. 8. Walstra, P., and Jenness, R Dairy Chemistry and Physics. John Wiley, New York. 9. Singh, H., McCarthy, O. J., and Lucey, J. A Physicochemical properties of milk. In: Advanced Dairy Chemistry, Vol. 3. P. F. Fox, Ed. Chapman & Hall, New York.
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