Relations between statistical conclusions and real situations.
Abstract
Mesenchymal stem cells (MSCs) are multipotent cells that can be expanded and manipulated ex vivo. These cells demonstrated three biological characteristics that qualify them for the use in cellular therapy: (1) potential of differentiation, (2) secretion of trophic factors and (3) immunoregulatory properties. The bone marrow (BM) has been considered as the traditional source of MSCs and much knowledge for potential clinical applications has been obtained from studies using MSCs derived from adult bone marrow. MSCs need to be expanded in vitro for the purpose of cell therapy. However, sometimes, the culture expansion could generate cytogenetic and molecular alterations. Accumulation of these alterations during many passages of culture could lead to malignant cell transformation. So, it is important to perform a rigorous control using different methods to test the safety and efficacy of MSCs for cell therapies. BM-MSCs have potential clinical applications in haematopoietic stem cell transplantation (HSCT) as an adjuvant cellular therapy. This chapter reviews the advances in the study of MSCs and the potential clinical applications of MSCs in haematopoietic stem cell transplantation (HSCT). We also describe the importance of statistical methods to aid the analysis of the efficacy and safety for the clinical use of MSCs for HSCT.
Keywords
- mesenchymal stem cells
- biological characteristics
- cell therapy
- haematopóietic stem cell transplantation
- statistical methods.
1. Introduction
Mesenchymal stem cells (MSCs) are multipotent cells that can differentiate
MSCs can be expanded and manipulated
MSCs generate most of the stromal cells present in the bone marrow (BM). They form part of the haematopoietic stem cell (HSC) niche and produce various factors regulating haematopoiesis. It has been proposed that BM-MSCs are useful as an adjuvant cellular therapy for promoting rapid haematopoietic recovery in the HSCT patients. This chapter reviews the advances in the study of MSCs and the potential clinical applications of MSCs in haematopoietic stem cell transplantation (HSCT). We will also describe the importance of statistical methods to aid the analysis of the efficacy and safety for the clinical use of MSC for HSCT.
2. Definition and biological characteristics of mesenchymal stem cells (MSCs)
MSCs were first described in 1966 by Friedenstein and colleagues. They reported the presence of fibroblastoid cells that could be obtained from bone marrow of adult mice and when transplanted subcutaneously, they could differentiate toward osteogenesis [5]. After this discovery, several studies have been done using human mesenchymal stem cells. These studies confirmed that it is possible to culture and do sub-passages of the whole bone marrow into plastic culture dishes and after discarding the non-adherent cells a few hours later, the cells adhered to the plastic were capable of forming colonies (colony-forming unit: fibroblastic, CFU-F). It was observed that the MSCs have two important properties. First, they can differentiate into distinctive end-stage cell types, including bone, cartilage, muscle, bone marrow stroma, tendon/ligament, fat, dermis and other connective tissues. Second, MSCs, themselves, secrete a broad spectrum of bioactive macromolecules that are immunoregulatory and serve to structure regenerative microenvironments in an injured tissue [6].
MSCs are not only found in bone marrow. MSCs have been isolated from multiple tissues such as skeletal muscle, adipose tissue, synovial membranes, dental pulp, periodontal ligaments, cervical tissue, umbilical cord, amniotic fluid and placenta. However, much knowledge regarding the biological characteristics and clinical experiences has been obtained from studies of MSCs derived from adult bone marrow [2, 7–9]. MSCs, also known as multipotent cells, are found in adult tissues of different sources. They are self-renewable, multipotent, easily accessible, and culturally expandable
When cultivated
Many studies have demonstrated the immunoregulatory properties of MSCs. These cells affect the immune response through their interactions with the cellular components of the immune system: T lymphocytes, B lymphocytes, natural killer (NK) cells and dendritic cells (DCs). MSC immunoregulation can occur through cellular contact and/or by secretion of diverse factors. Because of these properties, MSCs can prevent the inappropriate activation of T lymphocytes and generate a tolerogenic environment during repair or stop an immune response during healing, thus contributing to the maintenance of immune homeostasis [12,13]. Immunomodulatory properties of MSCs can be grouped into three categories: being hypoimmunogenic, modulating T cell phenotype and immunosuppressing the local environment [14, 15].
MSCs have decreased the expression of surface molecules including low levels of MHC class I and costimulatory CD40, CD80, and CD86 and no MHC class II molecules. This distribution of surface markers allows MSCs to evade detection from certain immune cells and contributes to their hypoimmunogenicity. MSCs also have the ability to immunosuppress the local environment and this can be attributed to their effect on cytokine secretion profiles. Specifically, in co-cultures with immune cells, MSCs had an indirect effect on T cell maturation and proliferation by up regulating the secretion of suppressive cytokines (IL-4 and IL-10) to decrease the secretion of proinflammatory cytokines (TNF-α and IFN-γ) from dendritic cells, T helper cells and macrophages. MSCs have the ability to induce regulatory T cells, which ultimately inhibit the proliferation and function of T cells, B cells and natural killer cells. Several soluble mediators, such as transforming growth factor β1, prostaglandin E2 (PGE2), human leukocyte antigen G5, haemoxygenase I, nitric oxide, IL-6 and indoleamine 2,3-dioxygenase (IDO), are important for this process [13]. Indoleamine 2,3-dioxygenase, which is induced by IFN-γ, catalyzes the conversion from tryptophan to kynurenine and inhibits T-cell responses [16,17].
As we can observe, the immunomodulatory characteristics of MSCs are important for cell therapy. But, approximately 2 × 106 cells/kg are required for clinical application of MSCs [3]. Therefore, for cell therapy, it is necessary to expand the MSCs using culture methods.
2.1. Isolation and culture expansion of MSCs for cell therapy
Clinical protocols employ cell culture technologies that use a small fraction of primary MSCs isolated from a selected tissue source and expanded by multiple passages in order to generate a clinically relevant number of cells. Consequently, once the tissue source of MSCs is determined for a specific clinical application, the safety and efficacy may be significantly influenced by cell bioprocessing protocols [18, 19].
There are no standard culture protocols for isolation and expansion of MSCs. Hence, the way in which these cells are cultured
The procedures used to isolate MSCs, for example, from bone marrow, usually use density centrifugation (with Ficoll™, Lymphoprep™ or Percoll™ density mediums) to separate the mononuclear cell fraction from the other marrow constituents such as red blood cells, plasma and lipids. This mononuclear cell fraction contains an enriched population of T cells, B cells, monocytes, hematopoietic stem cells (HSCs), endothelial progenitor cells and MSCs. Following plating onto tissue culture flasks, MSCs, which represent the adherent cell population, form colonies. The adherent cells remain in culture and the other non-adherent cells are discarded while changing the medium [19, 21]. The MSCs are anchorage-dependent cells that expand when maintained in culture conditions such as medium DMEN supplemented with 10% of FBS. Initial growth of MSCs in primary BM cell culture on a plastic surface is characterized by the formation of single cell-derived colonies. The efficiency with which they form colonies still remains an important assay for the quality of cell preparations. In general, MSCs have a great propensity for expansion in culture, although their proliferation potential is highly variable, mainly between young and older donors who retain reduced proliferative potential [19,22].
MSCs seeding densities range between 2.000 and 5.000/cm2; however, there is evidence that lower seeding densities enhance proliferation, which is thought to be attributed to a reduction in contact inhibition. Some studies demonstrated that MSCs proliferate more rapidly when passaged by plating the cells at low densities as 10–100 cells/cm2 [19, 23, 24]. MSCs are most commonly expanded in a basal media such as Dulbecco’s modified Eagle’s medium (DMEM)/DMEM F-12 or alpha-MEM with 10% fetal bovine serum (FBS) [21]. All current protocols for
Successful expansion techniques aim to facilitate significant increases in cell number without affecting the MSC therapeutic potential. MSCs can be cultured
Bone is a 3D substrate composed of water, organic collagen and inorganic hydroxyapatite. MSCs reside within crevices of the blood-submerged bone and among several cell types with which they engage in a complex orchestra of crosstalk. Numerous aspects of the bone marrow niche, which regulate MSC behavior, are absent in 2D culture. Hence, it is necessary to develop new techniques to recreate characteristics of the elaborate niche to preserve MSC progenitor potency through 3D expansion [4, 28–30]. Some studies have been demonstrated that MSCs can be expanded using scaffolds or scaffoldless approaches, usually in combination with a bioreactor. 3D MSC expansion has been performed on hydroxyapatite (HA), chitosan gelatin and HA/chitosan gelatin and gelatin microcarriers [4, 28, 31].
Bioreactors are devices that facilitate the development of biological and/or biochemical processes through operating parameters such as pH, temperature, nutrient supply and waste removal. Bioreactor systems are essential tools to achieve the goals in the clinical-scale expansion and tissue engineering applications [4]. They maintain the minimal criteria to define MSCs, which include plastic adhesion, expression of a set of specific surface markers and the ability of differentiation along osteogenic, adipogenic and chondrogenic lineages [1]. MSCs also bear broad regenerative and trophic activities, including the secretion of extracellular matrix (ECM), pro-mitotic and pro-angiogenic factors, anti-inflammatory and immune-regulatory factors, and other bioactive molecules that stimulate tissue regeneration by reconstructing a pro-regeneration microenvironment and by modulating immune and inflammatory responses. Thus, these unique properties play a central role to the success of MSC-based therapeutic applications [32–34].
2.1.1. Multilineage potential
MSCs have the potential for multilineage differentiation. This property has been studied for the development of MSC transplantation as a regenerative therapy. Multilineage potential is a criterion to define the MSCs
2.1.2. Cytogenetic and molecular characteristics of MSCs
The utilization of MSCs for cell therapy requires large-scale
Molecular studies also have an important role to determine appropriate MSCs to be used for cell therapy. All primary human cells, including MSCs, undergo only a limited number of cell divisions under standard culture conditions, in a process called cellular senescence. Senescence is considered to be a stress response triggered by activation of some mechanisms as telomere erosion and accumulation of DNA damage [44, 45].
The multipotency of MSCs has allowed a significant progress in our understanding about differentiation pathways of various lineages for tissue engineering and therapeutic purposes [48]. Runt-related transcription factor 2 (Runx2) has been considered as a master regulatory gene responsible for early osteogenic differentiation [49]. While Runx2 acts to promote osteoblastic differentiation, another important osteogenic inducer, osterix, suppresses chondrogenesis and promotes osteoblastic differentiation at a later stage. Low levels of osterix are sufficient to inhibit chondrogenesis, while a high expression level is necessary for osteogenic differentiation [48, 50]. Furthermore,
The expansion of MSCs
We need to be careful before using BM-MSCs for clinical applications. Some changes may be analyzed such as enlarged morphology, decreased number of cell divisions, random loss of genomic regions and telomere shortening. These modifications process could lead to a reduction in the multipotent state of MSCs and might lead to tumour formation under specific conditions. It is very important to characterize the cytogenetic and molecular profiles during expansion
2.1.3. Quality control for cell therapy
There are many challenges associated with characterizing and quantifying cells for use in cell- and tissue-based therapies. From a regulatory perspective, these advanced treatments must not only be safe and effective, but also must be made by high-quality manufacturing processes [55]. Prolonged exposure to stressful conditions during the cell enrichment and differentiation processes has raised concerns about the safety of stem cell therapy. The International Society for Stem Cell Research has created “Guidelines for the Clinical Translation of Stem Cells” [56]. Some cytogenetic tests that may be performed to ensure the safety of the stem cells include: G-banding, fluorescence in situ hybridization (FISH) and array comparative genomic hybridization (array CGH) [38, 57]. Molecular genetic tests may be performed as the analysis of the telomere length, the expression of genes involved in the osteogenic, adipogenic and chondrogenic differentiation. Some characteristics and tests, which may be considered as a quality control for the use of MSCs for cell therapy, are shown in Figure 1. The practical application of these recommended tests can be standardized for the sensitivity and specificity between laboratories.
The first clinical trial using culture-expanded MSCs was performed in 1995 and bone marrow samples were obtained from 23 patients with haematologic malignancies in complete remission. In this study, as no adverse reactions were observed with the infusion of the MSCs, Lazarus and colleagues concluded that MSCs obtained from cancer patients can be collected, expanded
3. Potential clinical applications of MSCs in haematopoietic stem cell transplantation
Haematopoietic stem cell transplantation (HSCT) is the first field wherein human stem cell therapy was successful. Allogeneic HSCT has been an important modality to cure various diseases, including haematologic malignancies, various non-malignant haematologic diseases and primary immunodeficiency diseases. However, autologous HSCT is generally performed to rescue bone marrow aplasia following high-dose chemotherapy for solid tumour or multiple myeloma [60].
The first successful HSCT using bone marrow from a relative donor was performed in 1968 in a boy with X-linked severe combined immunodeficiency disease (SCID). Since the first successful achievement in human, numerous trials and errors were repeated until 1980, when allogeneic HSCT began to be actively performed under a better recognition of transplant immunology. Dr. Donnall Thomas received Nobel Prize for his pioneering work in bone marrow transplantation to cure leukaemia and other haematologic malignancies [60].
Results from basic and clinical research have allowed the improvement of HSCT. Some of these improvements were the use of haematopoietic stem cells from peripheral blood or cord blood, which promoted a change in the terminology from bone marrow transplantation to haematopoietic stem cell transplantation [61]; a better understanding of the complexities of the human leukocyte (HLA) system, which has allowed selecting compatible sibling donors and the establishment of larger registries of HLA-typed volunteers; advances in the immunogenetics of HLA, especially typing of molecular techniques; the development of the preparative regimen of cyclophosphamide and busulfan, which avoids the use of irradiation for some diseases [62]; the development of non-myeloblative conditioning regimens for allogeneic HSCT, avoiding regimen-related toxicity and death and that opened the way to include elderly patients [61, 63].
These advances make HSCT one curative treatment modality for many patients mainly with malignant haematological diseases. But, remaining challenges include further advances in the prevention and treatment of both infections and graft-versus-host disease (GVHD). Despite significant progress in HSCT, GVHD remains a significant cause of morbidity and mortality after allogeneic HSCT [63–67].
Homeostasis of the haematopoietic system, which is a balance between self-renewal and differentiation, is thought to be tightly regulated by interactions among haematopoietic stem cells (HSCs) and the specialized microenvironment where they reside, the haematopoietic niche. The haematopoietic niche consists of a heterogeneous cellular population of non-haematopoietic and haematopoietic origin as well as of extracellular matrix, which collectively provide the structural scaffold, the spatial framework and the appropriate physiological and trophic cues to control HSC maintenance and function [68]. The key component of the haematopoietic microenvironment is bone marrow mesenchymal stromal cells (BM-MSCs).
Many studies have reported that MSCs can promote HSC expansion
BM-MSCs have potential clinical applications in HSCT as an adjuvant cellular therapy for promoting the rapid reconstitution of haematopoiesis after HSCT, to prevent and treat of graft failure, in graft versus tumour effect and in GVHD [2, 70].
3.1. Pathophysiology of graft-versus-host disease (GVHD) and clinical use of MSC for GVHD
Allogeneic HSCT is an effective treatment for many haematologic and genetic diseases. However, donor-derived cells may also recognize recipient organs as foreign and mount an immune attack against the patient’s own tissues, knows as graft-versus-host disease (GVHD) [71].
Graft-versus-host disease (GVHD) is the major cause of morbidity and mortality after an allogeneic HSCT. GVHD has traditionally been classified by the time of its clinical manifestations. Acute GVHD occurs within the first 100 days after haematopoietic stem cell transplantation, whereas chronic GVHD occurs after day 100. This simple classification is increasingly unsatisfactory particularly as reduced-intensity condition regimens gain wider acceptance. The clinical manifestations of acute GVHD after such conditioning often occur much later, sometimes coinciding with the day 100, the demarcation of chronic GVHD [72]. New recommendations that emphasize the importance of qualitative differences, as opposed to the time of onset after HSCT, are being used to standardize the diagnosis and clinical assessment of chronic GVHD [73].
The pathophysiology of acute GVHD after HSCT can be considered as a three-step process where the innate and adaptive immune system interacts. These three-step processes are as follows: (1) initiation of tissue damage; (2) activation and proliferation of donor T cells; and (3) the effector phase involving cellular and inflammatory factors. The pathophysiology of GVHD is a complex process. Chemotherapy and radiation cause tissue damage, producing pro-inflammatory cytokines, resulting in donor T-cell activation through the host antigen-presenting cell (APC) interaction via MHC-T cell receptor binding and co-stimulatory signals. This leads to T cell expansion and differetiation into various subtypes which traffic through blood vessels to target organs, where they cause tissue destruction and recruitment of other inflammatory cells through pathways such as perforin/grazyme and cytokine release. Moreover, these inflammatory cells and cytokines can propagate the cycle of GVHD [71, 72, 74]. The main step of GVHD reaction is step 2, where donor T cells are activated by the host antigen-presenting cells (APCs). The GVHD reaction is amplified by the intensity of the recipient-conditioning regimen, which can result in an intensive tissue damage with the release of various cytokines and augment of inflammatory response [75].
Acute GVHD affects mainly skin, liver and gastrointestinal tract. Approximately 50% of the patients treated with HSCT subsequently developed acute GVHD and required systematic treatment. Chronic GVHD occurs in 40% of patients treated with allogeneic HSCT from HLA-identical sibling and more than 50% of patients treated with HSCT from an HLA non-identical-related donor [67, 75].
Chronic GVHD is one of the most significant complications of long-term survivors after allogeneic haematologic stem cell transplantation. Experimental studies and clinical observations have elucidated the mechanisms of acute GVHD, but the biology of chronic GVHD is not well understood. Experimental studies generated at least four theories to explain the pathophysiology of chronic GVHD: (1) thymic damage and the defective negative selection of Tcells; (2) regulatory T cells deficiences; (3) auto-antibody production by aberrant B cells; and (4) the formation of profibrotic lesions [73]. The immunopathology of chronic GVHD is mediated in part by helper T lymphocyte 2 (Th2) cells, with a syndrome of immunodeficiency and an autoimmune disorder [76].
GVHD remains associated with significant morbidity and mortality in allogeneic HSCT. Improving outcomes in HSCT will require additional therapeutic modalities such as the use of MSCS. MSCs may be used to modulate the immune system, as prophylaxis to prevent GVHD and as treatment for established GVHD. Some studies have been performed demonstrating that the MSCs can act in GVHD [76–81]. In a multicenter clinical trial, HSCs and MSCs derived from HLA-identical sibling donors were infused and promoted haematopoietic engraftment and limited GVHD. In this study, 31 patients received myeloblative conditionig and HLA-identical sibling bone marrow or peripheral blood stem cells. Escalating doses of MSCs from 1 to 5 x106/kg were given. Toxicity related to MSC infusion was not observed. The incidence of acute GVHD was 15% in the co-transplanted group compared with 40% in a matched control group [17, 77]. Le Blanc and colleagues (2004) reported a child with acute lymphoblastic leukaemia receiving haploidentical MSC infusion for severe acute GVHD with a satisfactory clinical outcome [78]. The immunomodulatory abitily of BM-MSCs shows promise in treating GVHD, especially acute GVHD. Zhou and colleagues (2010) also showed the potential clinical application of MSCs for chronic GVHD. In this study, four patients with sclerodermatous chronic GVHD were reported, who received MSCs expanded
3.2. Prevention and treatment of graft failure using MSC
Graft failure or graft rejection after HSCT may occur as either a lack of initial engrafment of donor cells or loss of donor cells after initial engraftment. In the later case, autologous recovery may appear or, alternatively, marrow aplasia may be developed. Rejection is a major cause of graft failure and it is due to recipient immune response against donor Immuno-haematopoietic cells. Graft failure may also occur to other causes, such as viral infections, specifically, cytomegalovirus (CMV) [82]. In patients with leukaemia receiving myeloblative conditioning, the rejection rate was 0.1% in patients given HLA-identical sibling transplants compared to 5% in those given HLA-mismatched grafts. Another risk factor for graft failure is the reduced intensity conditioning that is used in the elderly patients, with lower doses of chemo-radiation therapy, the host immune system may persist, resulting in an increased risk of allograft rejection. Hence, the main risk factors associated with graft failure include HLA disparity in the donor/recipient pair, viral infections and the type of conditioning regimen [82, 83].
Some studies have demonstrated that the use of MSCs is efficient in prevention and treatment of graft failure [2, 9, 70]. Ball and colleagues carried out a pilot study of co-transplanted of BM-derived,
3.3. Graft-versus-tumour effect and MSCs
Two mechanisms are involved in the cure of a malignant disease by stem cell transplantation. The first is the conditioning regimen, which confers a powerful anti-tumour effect from myeloblative doses of chemotherapy or radiotherapy. The second is the graft-versus-leukaemia (GVL) effect or the graft-versus-tumor (GVT) effect exerted by transplanted donor T cells and NK cells against malignant tissue. The T lymphocytes recognize antigens presented by HLA molecules on malignant cells. They destroy tumour cells by direct cytotoxicity inducing death by lysis though the perforin-granzyme pathway and by apoptosis though activation of Fas on the cell surface. The graft-versus leukaemia effect requires donor immune competence that often accompanies graft-versus-host disease (GVHD) [84].
Despite HLA identity between a patient and donor, approximately 40% of patients receiving HLA-identical grafts develop acute GVHD due to genetic differences that lie outside the HLA loci, or minor histocompatibility antigens (HA). Some of such antigens, such as HY and HA-3, are expressed on all tissues and are targets for both GVHD and GVL. Others, such as HA-1 and HA-2, are expressed most abundantly on haematopoietic cells (including leukaemic cells) and may therefore induce a greater GVL effect with less GVHD [75].
Bearing in mind two fundamental aspects to the success of allogeneic HSCT, the GVL effect and the GVHD, the co-infusion of MSCs in transplantation should aim at reducing the severity of GVHD while preserving the GVL. In this sense, the study of Baron and colleagues (2010) demonstrated that the MSC co-infusion appeared to be safe; furthermore, MSC co-infusion might have prevented death from GVHD without abrogating GVT effects. In this study, 20 patients with haematologic malignancies received MSCs from HLA-mismatched donors after conditioning with TBI (total body irradiation) and fludarabine. The HLA-mismatched non-myeloblative HSCT with MSC co-infusion had a therapeutic effect on the haematologic malignancies. MSCs may have important beneficial characteristics in terms of promoting GVT effects due to their immunomodulatory properties after HSCT and their tropism towards the microenvironment [85, 86]. Figure 2 shows the potential clinical applications of MSCs for haematopoietic stem cell transplantation.
4. Using probability techniques to study clinical applications of mesenchymal stem cells
Nowadays, people recognize the importance of Mathematics in Medicine. Many statements in this area can be better understood using mathematical concepts and results. In this section, we will present mathematical techniques based on the concept and results of probability, as we are interested in making decisions in the face of uncertainty. In fact, in Medicine, clinical outcomes, such as the occurrence of disease, death, symptoms or functional impairment, can be counted and expressed as numbers, but in most clinical situations, the diagnosis, prognosis and treatment outcomes are uncertain for an individual patient. A person will experience a clinical outcome or not: the prediction is rarely exact. Therefore, the prediction must be expressed as a
Although earlier work on probability was done by the Italian mathematician Giralamo Cardano (1501–1576), the investigation of probability as a branch of Mathematics sprang about 1654 with two great French mathematicians: Blaise Pascal (1623–1662) and Pierre Fermat (1601–1665) [87]. Of course, we shall not do a discourse on probability. But, we need to say that the theory of probability underlies the procedures in testing hypotheses, which are very useful to Medicine and other disciplines in the health field.
In this section, we will avoid mathematical formulas and theorems.
4.1. Descriptive statistics and inferential statistics
Statistics is a branch of Mathematics. The word “statistics” derives from the Latin word
Statistics is divided into two branches: descriptive and inferential.
The mathematical techniques used on descriptive statistics are graphic (
One mathematical technique used on inferential statistics is hypothesis tests. They are much more sophisticated than the techniques used in descriptive analysis, because hypothesis tests are based on probability models.
A probability model for a particular experiment is a probability distribution that
A probability distribution can be discrete or continuous. An important example of a discrete probability distribution is the
4.2. Hypothesis tests
A hypothesis test is a method used to determine if there is enough evidence in a sample to infer that a certain property holds for the entire population. It works with two hypothesis: the null hypothesis (designated H0) and the alternative hypothesis (designated HA).
In the null hypothesis we use the words
Real difference | |||
---|---|---|---|
Presence | Absence | ||
Results are significant | True | Type I error | |
Results are not significant | Type II error | True |
The two errors mentioned in the previous paragraph are known as Type I error and Type II error. A Type I error leads to a
Hypothesis tests are used to estimate the
The hypothesis tests commonly used in the medical literature are presented in Table 2. They can be parametric or nonparametric. The choice in using one of them depends on the purpose of the study, the size of the sample and the type of the variables involved at the study, for instance. If we can guarantee that the sampling distribution is normal or approximately normal, we can use a parametric test. Because a normal distribution has good mathematical properties (bell-shaped, symmetric, and so on), using a parametric test leads to better results compared with a nonparametric test. In other words, we say that nonparametric tests are less powerful, in the sense that, they lead to a small probability to reject H0, when H0 is false.
To test the statistical significance of the difference between … | ||
---|---|---|
Chi-square | Nonparametric | |
Fisher’s exact | Parametric | |
Mann–Whitney | Nonparametric | |
Student’s |
Parametric | |
Kruskal–Wallis (one-factor) | Nonparametric | |
ANOVA (one-factor) | Parametric | |
ANOVA (more factors) | Parametric |
When we use a hypothesis test, we compute a
We finish this subsection noting that many methods described above are univariate methods, because they are only concerned with analyzing only one variable. The point in using a multivariate analysis is to consider several variables simultaneously in the study. With multivariate methods, we can reduce data information, we can classify objects or variables, we can investigate the dependence among variables and, finally, we can make predictions. Principal component analysis, factor analysis and clustering methods can be used in order to reduce data and investigate the dependence among variables. To make predictions, we can use Hotelling’s
4.3. Probability techniques on the study of mesenchymal stem cells
In cellular therapy, safety remains one of the main characteristic and refers to validation tests. The culture process should be reproducible, robust and efficient. The increasing use of MSCs has led to a production of processes which needs to be in accordance with current Good Manufacturing Practice (cGMP) [90, 91]. For the validation of the tests, it is important to use probability techniques comparing the results of the tests and the results between different laboratories, with the main to standardize the procedures to characterize the MSCs at the stage of production for cell therapy. The evidence of clinical efficacy is also required. In this case, the application of probability methods is also an important tool in clinical trials and clinical outcomes revealing the impact on the use of MSCS in cellular therapy.
5. Conclusion
Mesenchymal stem cells (MSCs) represent promising tools to be used in immunoregulatory and regenerative cell therapies. For this purpose, an extensive amplification
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