Page 1 of 26
Discoveries in Agriculture and Food Sciences - Vol. 12, No. 2
Publication Date: April 25, 2024
DOI:10.14738/dafs.122.16777.
Céspedes, M. A. L., & Ascheri, J. L. R. (2024). Prediction, by Mathematical Model, of the Effects of Hydration for Germination at
Different Times and Temperatures on the Nutritional and Functional Characteristics of Chickpea Flour (Cicer Arietinum L.). Discoveries
in Agriculture and Food Sciences, 12(2). 01-26.
Services for Science and Education – United Kingdom
Prediction, by Mathematical Model, of the Effects of Hydration for
Germination at Different Times and Temperatures on the
Nutritional and Functional Characteristics of Chickpea Flour
(Cicer Arietinum L.)
Miguel Angel Larrea Céspedes
Facultad de Ciencias Agropecuarias - Escuela de Ingeniería en Industrias
Alimentarias Universidad Nacional Jorge Basadre Grohmann, Perú
José Luis Ramírez Ascheri
Embrapa Food Technology, and Federal Rural of Rio de Janeiro, (PPGCTA), Rio de
Janeiro, RJ, Brazil
ABSTRACT
The objective of this work was to study the effects of germination time and
temperature on chickpeas by determining appropriate mathematical models
corresponding to each dependent variable to predict the behaviour of the process
and improve the physical, chemical, and functional properties of the flour obtained.
Chickpea grains were subjected to germination processes at the laboratory, after a
hydration process, to study the physical, chemical, and functional characteristics of
the flour obtained from the legume. The Response Surface methodology was used
by the central composite rotational layout. For the soaking process of the grains, the
independent variables were considered, with their respective levels: time (6, 8, 12,
16, and 18 hours) and temperature (18, 20, 25, 30, and 32 °C), being evaluated
through percent moisture as a dependent variable. During the germination process,
the independent variables time (14, 24, 48, 72, and 82 hours) and germination
temperatures (23, 25, 30, 35, and 37 °C) were controlled, keeping the relative
humidity fixed (95%). All mathematical models determined were suitable for
calculating values for each of the variables studied. The best response (R)
operational R1, total protein content (TPC); R2, total lipid content (TLC); R3, total
sugar content (TSC); R4, reducing sugar content (RSC) and R5, total ash content
(TAC). Likewise, the following functional properties were evaluated: R6, water
absorption index (WAI); R7, lipid absorption index (LAI); R8, water solubility index
(WSI); R9, apparent density (APD); and finally, the presence of antinutrients was
studied through R10, urease activity (UA).
Keywords: functional properties, germination effects, proximal composition, urease total,
reducing sugar.
INTRODUCTION
Chickpea is a legume with a high content of proteins and fibres, and its consumption
recommended due to the number of benefits it provides as a bioactive component due to the
diversity of available derived products and their applications in food systems [1]. So much
success is not for nothing. The legume – from the same family as lentils, peas, soybeans, and
Page 2 of 26
2
Discoveries in Agriculture and Food Sciences (DAFS) Vol 12, Issue 2, April- 2024
Services for Science and Education – United Kingdom
beans – is highly nutritious and versatile, serving as the basis for several recipes. The regular
consumption is relational to several health benefits: it helps control blood sugar levels, prevent
heart disease, boosts digestion, and even increases satiety – a good ally for those who want to
lose weight, as pointed out in a review of studies published in the American Journal of Clinical
Nutrition [2]. The survey compared 21 studies and found that volunteers who consumed at
least one daily portion (approximately 130g) of legumes as soon as chickpeas showed a
reduction in the scale after six weeks – even without dieting! It has high protein content. It is an
adequate option for those who want to reduce their consumption of protein of animal origin
(such as red meat, poultry, and fish) as it provides a good supply of the nutrient – around 9 g
for every 100 g of cooked grain. Food improves mood, considered by some as the “grain of
happiness” it contains tryptophan, fundamental amino acid in the production of serotonin (a
neurotransmitter linked to the feeling of well-being). The magnesium in legumes is a nutrient
that can help relax and reduce anxiety.
The cereal is packed with iron, a mineral that helps prevent anemia and can help alleviate
symptoms like fatigue and headaches. In more severe cases, these symptoms can affect
cognitive function. Furthermore, it also supports brain health by effectively neutralizing the
harmful effects of free radicals with its high levels of antioxidants. With this, it acts to protect
the brain and stimulates its proper functioning. Legumes reduce the risk of type 2 diabetes;
their low glycemic index (GI) helps control blood glucose levels and lower insulin release.
Therefore, research such as that published in The American Journal of Clinical Nutrition
associates the food with a reduced risk of type 2 diabetes. Its fibres are valuable. Chickpeas
(especially if they are in their shells) are absorbed more slowly in the digestive system, leaving
the consumer feeling fuller for longer. Fibres also improve bowel function. Strengthens the
immune system like other legumes, grains are rich in zinc and vitamins A and E, fundamentals
agents in combating flu and colds, ensuring reinforcement of the immune system. It maintains
healthy bones and teeth; chickpeas are rich in calcium and contain generous amounts of vitamin
K and phosphorus. Together, the nutrients help to strengthen bones, which can prevent
fractures and diseases that affect the bones, such as osteopenia and osteoporosis. The grain acts
in the prevention of cardiovascular diseases, helping to reduce triglycerides and bad
cholesterol related to the obstruction of blood vessels. Furthermore, the potassium in food has
a vasodilating effect, which helps to reduce blood pressure and protect heart health [3], [4], [5],
[6]. India is the largest chickpea producer in the world with 11.380.000 tonnes production per
year. Australia comes second with 998,231 tonnes of yearly production. With 630.000 tonnes
of production per year, Turkey is the third largest producer of chickpeas [7]. Comparatively, in
countries like India, the Middle East, and South American countries, chickpea consumption is
not very significant. To solve the problems related to post-harvest losses of this legume, and to
promote better use, numerous investigations have been carried out. Thus, for example, studies
carried out showed that it is possible to develop a DIP-type product (Diversified Innovative
Products), made from chickpeas and dehydrated tomatoes to promote the consumption of
healthy foods, rich in vitamins, proteins, minerals, and other health benefits [8]. According to
[9], the American Association of Clinical Chemistry (AACC), in 2008, defined sprouted grains as
“Malted or sprouted grains containing all bran, germ and endosperm. They originate and are
considered whole grains. Since the growth of the germination does not exceed the compression
of the grain and the nutritional values are not lower in comparison with germinated”. To
Page 3 of 26
3
Céspedes, M. A. L., & Ascheri, J. L. R. (2024). Prediction, by Mathematical Model, of the Effects of Hydration for Germination at Different Times and
Temperatures on the Nutritional and Functional Characteristics of Chickpea Flour (Cicer Arietinum L.). Discoveries in Agriculture and Food Sciences,
12(2). 01-26.
URL: http://dx.doi.org/10.14738/dafs.122.16777
germinate chickpeas, first wash them, soak them with double the volume of water, for 8 to 12
hours, place a damp cloth at the base of a tray, spread them out, and cover them with another
damp cloth. Approximately every 8 hours, spray both the chickpeas and the cloth with water,
remove them so that the humidity is uniform, and cover again [10]. The grains should be kept
moist but without excess water. Repeat this operation until the 1 to 2 cm root emerges. For a
seed to germinate, certain conditions must be favourable, such as an adequate amount of water,
and a desirable temperature, from 10 °C the chickpea is capable of germinating, although the
optimal germination temperature ranges between, 25 to 35 °C. The objective of this work was
to study the effects of germination time and temperature of chickpeas by determining
appropriate mathematical models corresponding to each dependent variable, to predict the
behaviour of the process to improve the physical, chemical, and chemical properties
functionalities of the flour obtained.
MATERIAL AND METHODS
Raw Material
Chickpea bean grains were used, produced in the city of Camaná, Peruvian origin, with good
characteristics for human consumption, obtained from the Grau Wholesale Market of Tacna -
Peru located in the enclosure of the Tacna city.
Experimental Details
Figure 1 shows the main stages and controls that were carried out during the development of
the experiment.
Figure 1: Main stages and controls that were carried out during the development of the
experiment.
Page 4 of 26
4
Discoveries in Agriculture and Food Sciences (DAFS) Vol 12, Issue 2, April- 2024
Services for Science and Education – United Kingdom
Production of Germinated Chickpea Flour in the Laboratory
Pre-treatment: Immersion of chickpea grains in 1.5% (v/v) sodium hypochlorite solution for
10 minutes to prevent the proliferation of microorganisms, mainly fungi. The grains were then
washed with plenty of water to remove sodium hypochlorite residues, as suggested by [11].
Soaking or hydration: It was carried out with distilled water, for this purpose, 250 g of
chickpeas were placed in a glass container with a capacity of one litter. The best hydration
conditions were studied according to the experimental design described in Table 1. The
variables and levels of variation were temperature and time, keeping the raw material/water
ratio constant (1:3 w/v) until the grains were completely saturated.
Experimental Outline for the Soaking Process and Germination Process
Table 1 shows the variables that were studied, with the respective levels of variation. Planning
22 with a central point was used [12]; the variables were established at three levels coded as -
1, 0, + 1. The actual values were calculated according to the following equation: xi = (Xi - Y)/ΔXi;
Where: xi = encoded value of the variable Xi; Xi = real value of the variable; Y = real value of the
variable at the centre point; ΔXi = differential between two consecutive values. This type of
planning requires two levels of axial variables coded as - and +. The value of is a function
of the number of independent variables (k = 2, for the present case), which is defined by the
following equation:
= (22) = x2 + x2 = 1.4142
The present statistical design requires 11 treatments, of which four are factorial (combinations
between levels –1 and +1), two axial (one variable at level and two at zero) and three central
(at level zero). Which serve to estimate the experimental error and determine the precision of
the polynomial equation [13]. Table 1 presents the composite central rotational experimental
outline for two variables and five levels used in the soaking or hydration process of chickpea
grains, and Table 2 show the effects of temperature and germination time were studied using a
composite rotational central planning (star planning) of the [14] methodology.
Table 1: Levels of the independent variables to be studied during the soaking or
hydration process of chickpea grains.
Variables Variable levels
Independent - = -1.4142 -1 0 1 + = +1.4142
X1 18 20 25 30 32
X2 6 8 12 16 18
Note. X1, soaking temperature (° C) and X2, soaking time (hours).
Table 2: Levels of the independent variables studied during the germination process of
chickpea grains (star planning).
Variables Variable levels
Independent - = -1.4142 -1 0 1 + = +1.4142
X1 23 25 30 35 37
X2 14 24 48 72 82
Page 5 of 26
5
Céspedes, M. A. L., & Ascheri, J. L. R. (2024). Prediction, by Mathematical Model, of the Effects of Hydration for Germination at Different Times and
Temperatures on the Nutritional and Functional Characteristics of Chickpea Flour (Cicer Arietinum L.). Discoveries in Agriculture and Food Sciences,
12(2). 01-26.
URL: http://dx.doi.org/10.14738/dafs.122.16777
Note, X1, germination temperature (o C), and X2, germination time, (h).
For each experiment, the dependent variables indicated below were evaluated (R, response):
R1 = Total protein content (TPC); R2 = Total lipid content (TLC); R3 = Total sugar content (TSC);
R4 = Reducing sugar content (RSC); R5 = Total ash content (TAC). R6 = Water absorption index
(WAI); R6 = Lipid absorption index (LAI). R7 = Water solubility index (WSI). R8 = Apparent
density (AD) and R9 = Urease activity (UA).
Drying and milling: For drying, it was carried out in an oven at atmospheric pressure at 55 ° C
for a period of 24 hours, until reaching an approximate 12% moisture. Milling: For experimental
purposes and for comprehensive use, the unsprouted and sprouted chickpea grains were
ground in a disc mill without removing the outer covering and the roots that came from
germination. The samples were then subjected to a size reduction operation with an OSTER
blender, at speeds: medium and maximum; they were then sieved using a 500-μm mesh. Finally
placed in glass jars and closed hermetically.
Data Processing and Analysis
For the analysis of the combined effects of the independent variables (X1) and (X2) in the
evaluated responses (Yi), the response surface methodology was used [14]. The averages of the
data from each of the 11 experiments for each response were treated by multiple region
analysis, to obtain first or second order mathematical models containing the linear, quadratic
and product terms of the interactions. In the present case, significant effects were treated by
ANOVA. In it, the degree of significance of the region and the lack of adjustment was observed,
at 95% confidence, with the help of the F test, and the analysis of the coefficient of
determination (R2). The model, to be considered predictive to describe a certain characteristic
in the analysed region, must present significant regression at the 95% confidence level, non- significant lack of adjustment at the same confidence level and a high R2 value (very close to 1
or 100%). In order to identify the experimental area that would allow maximizing some
properties studied, and minimizing others, according to the tendency of each of them, a new
dependent variable was established, based on the models developed by [15]. The mathematical
expression of this multi-response function (MRF) was:
MRF = Superior response product/ Inferior response product
Proximal Composition
Moisture was determined according to method 44-15 of the American Association of Cereal
Chemists [16]; protein, by the Kjeldahl micro distiller method 46-13 of the AACC (1990) using
the factor 6.25; Lipids, according to the Soxhlet method (method 30 –10) AACC [16]; ashes,
method 08–01 established by the AACC [16].
Total Sugars
The Sulfuric Phenol method, according to recommendations established by Dubois [17] in
which glucose is used as a standard solution, determining the absorbance at 490 nm, carried
them out.