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Abstract: The cell cycle is a conserved process comprising of an organized series of interdependent and cross
regulatory events that lead to controlled cell growth and proliferation. Genomic and volume regulatory processes are of
special interest as they decide the fate of cell cycle. Signaling cascades including MAPK, PI3K, Sonic Hedgehog, Wnt
and NOTCH signaling pathways are few well known conventional players contributing in controlling the cell cycle
progression through different phases by expressing certain proteins. Moreover, the unconventional volume regulatory
players exert influence by regulating membrane potential that is determined by ions influx or efflux across the plasma
membrane via ion channels, controlling water movement and ultimately contributing to volume increase in growth
phases of the cell cycle. Both of these players are interlinked, therefore, in order to establish a better understanding of
the interdependence of these players, principles of machine learning were applied on data obtained on cell cycle. The
data was processed by using neural networks and it shows that a significant understanding of conventional regulators is
available in the literature and it has been under the limelight as well. However, when it comes to unconventional
volume regulatory players, a limited understanding is available. Moreover, the precise role of each component and its
interdependence with other is not yet fully understood. Due to which, they are not clearly evaluated for their potential
role as cell cycle control elements for therapeutic purposes. Therefore, this study aims to summarize the data on cell
cycle that is obtained through machine learning and to discuss the advances in cell cycle modelling mechanisms and
designs that are based on different mathematical algorithms. Thus, this review will provide a basis to clearly understand
and interlink the discoveries on cell cycle so that a comprehensive cell cycle model could be built which, if manipulated
can be used for therapeutic purposes by identifying the least explored regulatory control elements.
Index Terms: Cell cycle, Intelligent modelling, computational modelling, and role of Ca2+ signaling, Artificial Neural
Network, machine learning
1. Introduction
The cell is a fundamental unit of life and plays a crucial role in organ and system development, transportation and
storage of biomolecules, gene expression, signal transduction, and empowerment of molecular machineries [1]. The
process of a cell dividing into two daughter cells is known as the cell cycle, which is a universal and complex process
and is tightly regulated by different regulatory proteins that either allow or limit its progression [2]. A cell progresses to
cell division by receiving growth and proliferative signals from the extracellular environment. In response to these cues,
a cell quits G0 phase and enters into the G1 phase of the cell cycle. The G1 is one of the two growth phases in the cell
cycle where cell increases in size and accumulates within itself sufficient nutrients to provide energy during a cell cycle.
This volume growth is an important regulatory step as it decides the progression of cell into subsequent phase. When all
the required conditions are met, a cell progresses to S phase that is the synthesis phase of DNA. Following the S phase
is the second growth phase called G2 phase where cell replenishes its energy reserves and grows in size so that it could
enter into the mitotic phase, which terminates this cycle at cell division by passing through four substages, starting from
prophase and ending at telophase [3]. The first 3 phases G1, S and G2 comprise the longest period in cell cycle known
as interphase [4]. There are few mammalian cells, for instance epithelial cells, which continually grow and divide while
other cells stay in quiescent phase and perform normal metabolic functions like muscle cells or neurons. Investigators
have postulated and later proved that these cells stay longer in G0 phase and upon receiving stimulus they continue
proliferation or differentiation. This longer stay in the quiescent phase has been distinguished as G0 phase distinct from
G1 phase [5].
Upon receiving mitogenic signals, changes in cellular dynamics are observed due to activation of certain signalling
pathways which ultimately cause transcription of proliferative genes by expressing transcription factors like FOS, JUN,
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14 The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning
cMYC etc. Some of these signalling cascades are MAPK pathway, PI3K/Akt/mTOR pathway, NOTCH pathway, SHH
and Wnt signalling pathway. All of these pathways play a significant role in cell cycle progression by directly
influencing the genetic machinery and transcribing the genes and expressing proteins essential for cell progression
through different cell cycle phases. The most crucial regulatory proteins responsible for transition and transversion of
cell cycle checkpoints are Cyclins and Cyclin Dependent Kinases (CDKs) along with their inhibitors, and tumor
suppressor genes p53 and pRb and associated regulators [2]. These regulatory signalling molecules are considered to be
the conventional drivers in cell cycle control throughout its four basic stages to complete the cycle of division, namely:
G1, S, G2 and M phase [6].
As research on the cell cycle progressed over years, new regulatory control elements were identified. Initially, the
cell cycle was understood to be dependent on a number of different phases that a cell goes through during cell division;
however, later, other vital aspects were found. One of these was the role of bioelectricity in driving the process of cell
division. This bioelectricity was observed due to influx and efflux of different ions through ion channels that are present
on the cell membrane as well as on the nuclear membrane [7]. This flow of ions across the plasma membrane
establishes a membrane potential which has been linked with the regulation of the cell cycle since long and are also
involved in cancer development and progression. However, how they control cell cycle has not yet been fully elucidated
[7].
All these pathways and regulatory elements are intricately interlinked as they all are performing the same function
i.e. driving the cell to division. But no study has been conducted till date that would have incorporated these details in a
single model to provide a better understanding of the cell cycle. Therefore, in order to get a bigger picture, Artificial
Intelligence should be introduced in the domain of biological sciences. Hence, this study aims to evaluate the modelling
of the cell cycle of a living organism through machine learning. Previously, the new technologies were only used in the
areas of industry and education. But the recent years have seen an increase in the need of integrating the modern age
equipment in the field of health and biological sciences [8]. Owing to the increased use of computers and internet
sources, machine learning is the idea of vast volumes of data being produced every day in various fields [9,10].
Therefore, approach of machine learning is utilized in this study to evaluate and model the cell cycle. Other than
computer, the devices like antennas and wireless devices can also be used for the collection of data. As the data
collected through these devices would have large benefits, including the domains of personal wellbeing, and biological
sciences [11-16]. Therefore, this study utilizes the effectiveness of Neural Networks in order to better understand this
whole process of cell division. These Neural Networks work on the similar principle as that of human brain by
processing the information in different layers. These layers are input layer, hidden layer and output layer. Number of
layers in hidden layer can be increased depending on availability and complexity of the data. As this study evaluates a
huge data set on cell cycle and its regulatory control elements, therefore, we have utilized the effectivity of machine
learning and artificial intelligence so that all the data could be processed in the best possible manner through neural
networks. The findings of this study would enable researchers to critically evaluate the influence of their research
outcomes by incorporating them in a comprehensive cell cycle model. This would on one hand help them in validating
their current findings and on the other hand will help in identifying new cellular targets.
2. Methodology
Fig. 1 Methodology based on Machine learning adopted for cell cycle review and modelling
Copyright © 2021 MECS I.J. Education and Management Engineering, 2021, 2, 13-24
The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning 15
AI based layers are also used for the data classification and evaluation. The layers, as shown in Fig. 3, includes,
convolution, pooling, and classifier. The aim of these complex networks is to find the weight of the data. This model
helps to collect detailed data on the cell cycle.
After the data pooling through AI, the data was classified in different cell cycle layers based on ANN. These layers
define each stages of cell cycle separately. The framework is shown Fig. 4. Layers adopted in this framework includes
input, convolution, activation and full connection with the output layers,
Copyright © 2021 MECS I.J. Education and Management Engineering, 2021, 2, 13-24
16 The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning
3. Results
Fig. 5 Most repetitive keywords used in research articles related to cell cycle
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The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning 17
Fig. 6 Phases of Cell Cycle (Interphase and Mitotic phase) (Ravindra B. , 2006)
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18 The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning
through drugs has shown no effect on the cell volume changes. The size of the nucleus has been said to be directly
regulated by the nuclear membrane in the data sets. The important catch data provided is that once the cell actively
begins the transcription phase, there is a need to control the volume of the cell and its components. According to
Massagué, 2004, this is achieved by the involvement of the chloride ions which actively regulate the cell volume. The
expression of the EAG2 (K+) channels have been found in data to be implicated in the control of the M phase by means
of regulating the expression of cyclin B1 through the p38 MAP Kinase, as shown in Fig. 7 [21].
The question is, which ions or proteins are responsible for maintaining ionic transport balance for the control of
cell cycle? It is proposed earlier in the articles, that Ca++ oscillations have a crucial role in the control as a “life and
death signal” [22]. Later, it was suggested in the studies, that the oscillations also follow and elicit the NKCC and NHE
channels for homeostatic perturbations for planned activities of cell intracellular signalling machinery. These
oscillations have been said to produce the membrane potential (Vm) changes as a by-product (as they are maintained
through the activity of a range of ion channels), which in itself is necessary for proliferation. Besides this, a variety of
K+ channels have been implicated in the regulation of proliferation and cell cycle progression. Mechanisms of the
activation of many of these channels are currently unknown [23].
As stated earlier in the data, before volume increase, cell proliferation may require transient cell shrinkage initially,
which is accomplished by the activation of Cl- and K+ channels. As the electrochemical equilibrium activity of Cl- ions
is above the threshold inside the cell, the activation of Cl- channels is responsible for Cl- exit and thus resulting in
depolarization. If Cl- exit is paralleled by active K+ channels, then there is net exit of KCl salt, responsible for cell
shrinkage. Conversely, the cell growth requires an increase in the K + concentration inside the cell. The inward rectifier
uptake channels of K+ activate simultaneously with mechanosensitive channels that are activated by the compression in
the plasma membrane that has undergone shrinkage, and help in bringing in higher concentrations of K + and water,
which increase the turgor pressure, which is needed for cell growth [24].
Data from studies confirmed that the Kv10.1 cause a reduction in the current on the cell membrane. The reduced
current is known to be associated with the mitosis-promoting factor (MPF- p24) and Na+. The K+ concentrations also
regulate the entry of Ca2+ inside the cell by ensuring that the membrane potential is negative enough to allow the entry
of Ca2+ [25]. According to the study of Lang 2007, the Kv1.3 channel in conjunction with the KCa3.1 (a Ca 2+ dependent
K+ channel) works towards the cell growth and proliferation. Ca 2+/CaM is required at two points during the re-entry
from quiescence, early after mitogenic stimulation and later near the G1/S boundary. Cell volume not only participates
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The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning 19
in the regulation of cell function by hormones, but also regulates hormone release. The release of several hormones is
triggered by cell swelling, conversely inhibited by cell shrinkage. The link between cell volume and hormone release is
ill-defined in the data sets but partially involves cell volume sensitive alterations of cytosolic Ca2+ activity [25].
3.2.4 G2/M phase transition
Studies revealed that, once DNA duplication is completed, the cell proceeds towards the G2 phase where it
prepares itself for division into two daughter cells in M phase. A series of events, as shown in Fig. 8, beginning with
prophase and then prometaphase, metaphase, anaphase and lastly cytokinesis takes place-which divides the cell into two
genetically identical copies during the M phase. A clear role, found in literature, of the dynamic distribution of Ca2+ and
Ca/CaM is seen in S/G2, G2/M and during M phase. Towards the end of M phase, it was found in studies that, Ca/CaM
concentrates itself below the membrane and helps cleave the cell into two. Just prior to M phase, DNA damage
checkpoint have the responsibility to give a “Go” signal for advancement to checks whether the DNA is intact or has
any mutations to repair. A study by Sanchez et al., stated that it would be catastrophic if cell proceeds to divide with the
damage. Studies also revealed that, during G2, mammalian Cyclin B/CDK2 complexes are held in an inactive state by
phosphorylation of CDK1 at the two negative regulatory sites, threonine 14 (Thr14) and tyrosine 15 (Tyr15) [26].
The data suggested that a study by Kahi et al., 2003, the Ca 2+/CaM is implicated in the G2/M transition, M phase
progression, and exit from mitosis. During the M phase the MPF increases the selectivity and rectifies the current,
promoting the loss of K+ from the cell. Moreover, calcineurin was found as Ca 2+ waves regulators in G2/M transition.
Another prevalent enzyme, in addition to cdc25, CAMKII is found as important for G1 progression and G2/M transition.
As demonstrated in glioma cells, a drastic volume decrease (or distribution per se) occurs during the M phase to reach a
preferred volume state in the division. This relates to the chromatin and cytoskeleton condensation and
depolymerization in M phase [27].
3.2.5 Role of Ca2+ in cell cycle
There are a number of different classes of calcium receptors, found in literature through machine learning, which
play a crucial role in the maintenance of cellular homeostatic conditions and regulation of cell cycle by mediating the
entry and exit of the calcium ions and also stimulating the intracellular release of calcium. Even it was found that the
endoplasmic reticulum has calcium receptors, which help in storing calcium and releasing it as and when needed inside
the cell during the cell cycle. The detailed classes of calcium receptors were reported by the data which includes the
Voltage Gated Calcium Channel (VGCC) which is itself comprised of three different families of receptors, including
the Cav1, Cav2 and Cav3. The other classes of calcium receptors include the Receptor-Operated Calcium Channels
(ROCCs), the Ryanodine Receptor (RyR) present at the endoplasmic reticulum and the Inositol-1,4,5-trisphosphate
receptor (IP3R), as shown in Fig. 9 [28].
Data Pool
on Role of
Ca2+ in Cell
Cycle
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20 The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning
Data collected through machine learning showed that, the Ca2+ channels control and regulate the cell cycle. In
excitable cells such as the muscles, neurons and the endocrine cells, voltage gated calcium channels are used for the
entry of Ca2+. The increase in Ca2+ concentration inside the cell leads to the phosphorylation of the Mitogen-Activated
Protein Kinase (MAPK), ultimately leading to the progression of the cell cycle. The downstream processes following
the entry of Ca2+ ions are diverse and include expression of a number of different genes, depending on the cell type. The
concentration of Ca2+ in the resting stage of the cells is very low (around 10-7 M), while in the calcium stores such as
the endoplasmic reticulum and the extracellular matrix, Ca 2+ concentrations are much higher (around 10,000 times
higher, approximately 10-3 M). The maintenance of this gradient is ensured by the efflux of calcium from the
intracellular organelles [29].
It was also confirmed in articles [27-30] that, Ca2+ interacts with the Cyclin-Dependent Kinases (CDKs) to regulate
the cell cycle. The CDK family is considered to be important in the transition of the cell through the different phases of
the cell cycle and also in the maintenance of the different phases. As the data suggested, CDK4 and CDK6 are found as
important in the G1 phase, CDK2 is important in the G1 as well as the S phase, and also speculated to be a part of the M
phase, while CDK1 is predominantly reported to be important in the M phase. Ca 2+ in complex with Calmodulin (CaM)
interacts with the CDKs and controls their activity throughout the cell cycle. Ca 2+ and CaM together regulate the
expression of the CDK1, CDK2 and the Cyclin B in human cells (particularly reported in the T lymphocytes). Moreover,
it was found that the activation of the stored Ca2+ (SOCE: Store Operated Calcium Entry) activates CaM protein, which
in turn leads to the blockage in the activity of Cyclin A and E [30].
According to the study of Se et al., 2004, Ca 2+ oscillations also play a role in the gene expression. This has been
documented in the case of the early and late gene expressions in the G1 phase. In the early phase of G1, Ca2+ affects the
expression of the Serum response element (SRE), the Cyclic AMP Response Element (CRE), MYC, JUN and FOS
genes, which are all important for the proliferation of cells. The activity of Ca 2+/CaM leads to the activation of
CDK4/Cyclin D1 complex, which is involved in the regulation of the retinoblastoma protein (RB1), which is one of the
main inhibitors of the DNA synthesis process. The RB1 is found as responsible for interaction with T2F transcription
factor for the inhibition of cell cycle. However, the regulatory activities and the phosphorylation of the RB1 protein
leads to the transition of the cell cycle from the G1 to S phase. According to Se et al., 2004, this transition is mediated
by the regulatory activity of Cyclin D1 and the Ca2+/CaM pathway. Here, the RB1 is inhibited and the p21 and p27
(better known as CDKN1A and CDKN1B) are also negatively regulated [31].
Next, the role of Ca2+ has been reported in the transition from G2 to M phase. It has been seen that Ca 2+/CaM
regulate CAMKII in the G2 phase [59] and lead to the CAMKII mediated phosphorylation of the Microtubule
Associated Protein 2 (MAP2), which leads to the inhibition of the microtubule polymerization [32].
Mathematical modelling and simulation of the cell cycle started a couple of decades ago. This includes, high
throughput screening, modelling and simulations, topological interactions for the prediction of the system function and
many others. None so far included the machine learning processes, including the training and test sets. No doubt, the
engineered models share a systems level approach for biological systems and elucidate an advantageous picture of cell
cycle framework and predictions, but a comprehensive illustrative picture is still missing.
We also applied machine learning on computational modelling performed in last 2 decades. The data revealed that
Li et al. (2004) were pioneers among others for modelling the complete yeast cell cycle from regulatory proteins [33].
They investigated the global dynamicity and cell cycle proliferation drivers’ trajectory and concluded that the network
is robustly stable for conducting its functions and declared G1 as a global attractor from simulation dynamics, and that
it is stable against all perturbations. Later, Davidich et al. (2008) presented a Boolean network model of the cell cycle
sequences which was solely based on the biochemical topology of the interactions reproducing the biological cell cycle
time sequence of protein activations. This minimalistic approach boosted the idea of predicting dynamical features of
proteins along with protein interaction networks of cell cycle. Furthermore, data suggested that in subsequent years,
Mangla et al. (2010) worked on synchronous models of the Budding and Fission yeast cell cycle and concluded that the
timing and robustness can be used as the basis for a testable hypothesis that could account for several needs-based
refinements in the model [33].
In addition to that Fauréet al. [34] were among the pioneers to model the mammalian cell cycle. They used the
most prominent drivers of the cell cycle machinery, i.e., Cyc D, E, A and B along with other regulators and effectors,
e.g., P27, Rb and E2F. Their synchronous and asynchronous Boolean modelling demonstrated the asymptotic behavior
of the regulatory proteins based on the experimental data and provided the biological justification for using multilevel
variables in future research.
Lately, Abroudi et al. (2017) published a paper on ‘A comprehensive complex systems approach to the study and
analysis of mammalian cell cycle control system in the presence of DNA damage stress’. They even considered G1-S
and G2-M checkpoints unlike Fauréet al. [34]. They first refined the published research on ODE mathematical models
and then included sub-systems, i.e., growth factors (GF), DNA damage, and G1/S and G2/M checkpoints. As advised
by Magla et al. [35], they applied a multi-level systems approach. The model was also used to assess the efficacy of
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The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning 21
DNA damage checkpoints in correctly arresting damaged cells and avoiding incorrect arrest of healthy cells and results
revealed 98.6% accuracy in correctly releasing healthy cells through checkpoints. Using ANN all of these models can
be computed completely and precisely in different layers, as shown in Fig. 10.
Recently, Castro et al. (2019) developed an agent-based model of cell cycle adhering to the view that kinetic
parameters are a crucial aspect when studying reactions involving proteins in real cell cycle [36]. They compared the
results to a Boolean network model and found similar results in terms of following the correct sequence of phases. This
model could be a starting point for being used in the development of cancer drugs by adding cell cycle mutations that
match a specific type of tumor cell cycle and an agent representing the medication or treatment. Recently, Laomettachit
et al. [37] applied different mathematical modelling approaches including Boolean, discrete (stochastic), ODEs and
hybrids, as shown in Fig. 11, and concluded the same as previous in terms of cell robustness and stability, although
their models lacked the technical sophistications for mutated cell cycles.
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22 The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning
Scientists are working hard in order to model a cell cycle in a best possible way. As for now the models are quite
complicated. Microbiologist, botanists, and zoologists are working to model the cell cycle. Similarly, scientists in the
field of artificial intelligence are also trying to compare all models of cell cycles through machine learning [38-40]. The
use of innovative technology such as machine learning and Artificial Intelligence will help efficiently to model the cell
cycle using data of recent research [41,42].
5. Conclusion
The proliferative process of cell is important, and it has aided in research studies related to different areas of
biological sciences. Data derived through machine learning indicates that our current comprehensive understanding of
cell cycle is lagging and therefore, it requires the utilization of Artificial Intelligence in this domain so that
mathematical algorithms and machine learning techniques could be applied to sort the huge volumes of data. This study
was conducted with the same aim to demonstrate the role of different unconventional players that are actively
controlling cell cycle. It has been observed in our study that though a significant attention has been given to
conventional genomic regulators of cell cycle and their participation in different disease conditions have also been
evaluated, but a clear picture of mechanism of action of these unconventional players is still missing. Thus, we have
identified some key volume regulatory control elements in our study and presented the work that has been done on them
to better understand the process of cell cycle.
In order to efficiently evaluate our current progress in the field of cell biology, computational biologists are
working hard to identify different regulatory components of cell, its processes, machineries and cell cycle and
combining them to develop a computational model so it could aid in better understanding of the process along with
predicting the effects of perturbations that may be associated with any pathological condition. Different computational
tools were being used in these studies and computational models were built for different cellular processes of both
prokaryotic and eukaryotic cells. But our study through machine learning by using neural networks has found that
though, a lot of work has been done on cell and cell cycle, but we still lack an all-inclusive picture of cell cycle model.
Therefore, the unconventional players identified in our study would enable researchers to improve the current models of
cell cycle by incorporating more regulatory elements in them.
As previous computational models of cell cycle have not considered the importance of inclusion of volume
regulatory control elements in cell cycle, therefore, our work will provide a basis to improve the current knowledge
available on cell cycle through artificial intelligence. It would help in developing a comprehensive cell cycle model by
incorporating as many details as possible in the simplest possible way so that it could assist biologists in identifying and
evaluating the effects of perturbations in pathways. It will help in evaluating the role of various drugs on regulating
membrane potential, ionic homeostasis in the microenvironment and volume regulation in wet lab so that new targets
could be identified and their efficacy could be determined. Our study demonstrates that researchers need to emphasize
on volume regulatory machinery as well by identifying their mechanism of action and their utilization in therapeutics. It
would ultimately shift a focus from genome regulatory components to volume regulatory elements and if it will work
well, it would enable us to overcome the effect of Multi Drug Resistance (MDR). The jump from wet lab
experimentation to computational modelling has proven vital. There is now a need to take a leap towards machine
learning and artificial intelligence methodologies to better understand the working of the cell. Together, these
phenomena may pave the path for bringing innovation in the field of regenerative medicine and to develop new
therapeutic solutions to prevent or restore disease states such as uncontrolled cell proliferation in cancer.
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Copyright © 2021 MECS I.J. Education and Management Engineering, 2021, 2, 13-24
24 The Cell Cycle Model: A Comprehensive Review and Extension Based on Machine Learning
Authors’ Profiles
Mustafa Pasha is an independent consultant on computational modelling and simulation on medical and health
related topics. He has a master’s in computational sciences and engineering from NUST, Pakistan and a PhD in
Applied computing from Lincoln, New Zealand. He has a dedicated set of expertise in drug design and discovery,
his past work includes work on cancer cell proliferation and human cell cycle modelling and simulation. Besides
his research profile, he has number of achievements in health business, procurement, and novel solutions
consultations. He holds the privilege to be nominated in Canterbury Business Champion, New Zealand. His
research interests include, Pharmaceutical Formulations, Intelligent Modelling and Simulation, Artificial
intelligence, Machine learning, Data Analysis, Industrial Business Consultancy and regulatory affairs.
Khurram Munawar is a PhD student at the Lincoln University (New Zealand) He is a multi-disciplinary
researcher with experience in Computer Visualization, machine learning, computational sciences, computational
modeling and artificial intelligence, he has several international publications in various journals and conferences
and has actively been working in Visualization and Artificial Intelligence domain.
Asma Talib Qureshi is a MS student in the Healthcare Biotechnology discipline at NUST, Pakistan. She has
also been a member a Pakistan Society of Basic and Applied Neurosciences. She has expertise in biotechnology,
cancer research and neurosciences. She has worked on autoimmune and viral diseases and currently her main
area of research interest is cancer biology and nervous system disorders.
How to cite this paper: Mustafa Kamal Pasha, Khurram Munawar, Asma Talib Qureshi, " The Cell Cycle Model: A Comprehensive
Review and Extension Based on Machine Learning", International Journal of Education and Management Engineering (IJEME),
Vol.11, No.2, pp. 13-24, 2021. DOI: 10.5815/ijeme.2021.02.02
Copyright © 2021 MECS I.J. Education and Management Engineering, 2021, 2, 13-24