13 resultados para Univariate Analysis box-jenkins methodology
em AMS Tesi di Dottorato - Alm@DL - Università di Bologna
Resumo:
Cardiotocography (CTG) is a widespread foetal diagnostic methods. However, it lacks of objectivity and reproducibility since its dependence on observer's expertise. To overcome these limitations, more objective methods for CTG interpretation have been proposed. In particular, many developed techniques aim to assess the foetal heart rate variability (FHRV). Among them, some methodologies from nonlinear systems theory have been applied to the study of FHRV. All the techniques have proved to be helpful in specific cases. Nevertheless, none of them is more reliable than the others. Therefore, an in-depth study is necessary. The aim of this work is to deepen the FHRV analysis through the Symbolic Dynamics Analysis (SDA), a nonlinear technique already successfully employed for HRV analysis. Thanks to its simplicity of interpretation, it could be a useful tool for clinicians. We performed a literature study involving about 200 references on HRV and FHRV analysis; approximately 100 works were focused on non-linear techniques. Then, in order to compare linear and non-linear methods, we carried out a multiparametric study. 580 antepartum recordings of healthy fetuses were examined. Signals were processed using an updated software for CTG analysis and a new developed software for generating simulated CTG traces. Finally, statistical tests and regression analyses were carried out for estimating relationships among extracted indexes and other clinical information. Results confirm that none of the employed techniques is more reliable than the others. Moreover, in agreement with the literature, each analysis should take into account two relevant parameters, the foetal status and the week of gestation. Regarding the SDA, results show its promising capabilities in FHRV analysis. It allows recognizing foetal status, gestation week and global variability of FHR signals, even better than other methods. Nevertheless, further studies, which should involve even pathological cases, are necessary to establish its reliability.
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Gastroesophageal junction (GEJ) adenocarcinoma are uncommon before age of 40 years. While certain clinical, pathological and molecular features of GEJ adenocarcinoma in older patients have been extensively studied, these characteristics in the younger population remain to be determined. In the recent literature, a high sensitivity and specificity for the detection of dysplasia and esophageal adenocarcinoma was demonstrated by using multicolor fluorescence in situ hybridization (FISH) DNA probe set specific for the locus specific regions 9p21 (p16), 20q13.2 and Y chromosome. We evaluated 663 patients with GEJ adenocarcinoma and further divided them into 2 age-groups of
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Nuclear Magnetic Resonance (NMR) is a branch of spectroscopy that is based on the fact that many atomic nuclei may be oriented by a strong magnetic field and will absorb radiofrequency radiation at characteristic frequencies. The parameters that can be measured on the resulting spectral lines (line positions, intensities, line widths, multiplicities and transients in time-dependent experi-ments) can be interpreted in terms of molecular structure, conformation, molecular motion and other rate processes. In this way, high resolution (HR) NMR allows performing qualitative and quantitative analysis of samples in solution, in order to determine the structure of molecules in solution and not only. In the past, high-field NMR spectroscopy has mainly concerned with the elucidation of chemical structure in solution, but today is emerging as a powerful exploratory tool for probing biochemical and physical processes. It represents a versatile tool for the analysis of foods. In literature many NMR studies have been reported on different type of food such as wine, olive oil, coffee, fruit juices, milk, meat, egg, starch granules, flour, etc using different NMR techniques. Traditionally, univariate analytical methods have been used to ex-plore spectroscopic data. This method is useful to measure or to se-lect a single descriptive variable from the whole spectrum and , at the end, only this variable is analyzed. This univariate methods ap-proach, applied to HR-NMR data, lead to different problems due especially to the complexity of an NMR spectrum. In fact, the lat-ter is composed of different signals belonging to different mole-cules, but it is also true that the same molecules can be represented by different signals, generally strongly correlated. The univariate methods, in this case, takes in account only one or a few variables, causing a loss of information. Thus, when dealing with complex samples like foodstuff, univariate analysis of spectra data results not enough powerful. Spectra need to be considered in their wholeness and, for analysing them, it must be taken in consideration the whole data matrix: chemometric methods are designed to treat such multivariate data. Multivariate data analysis is used for a number of distinct, differ-ent purposes and the aims can be divided into three main groups: • data description (explorative data structure modelling of any ge-neric n-dimensional data matrix, PCA for example); • regression and prediction (PLS); • classification and prediction of class belongings for new samples (LDA and PLS-DA and ECVA). The aim of this PhD thesis was to verify the possibility of identify-ing and classifying plants or foodstuffs, in different classes, based on the concerted variation in metabolite levels, detected by NMR spectra and using the multivariate data analysis as a tool to inter-pret NMR information. It is important to underline that the results obtained are useful to point out the metabolic consequences of a specific modification on foodstuffs, avoiding the use of a targeted analysis for the different metabolites. The data analysis is performed by applying chemomet-ric multivariate techniques to the NMR dataset of spectra acquired. The research work presented in this thesis is the result of a three years PhD study. This thesis reports the main results obtained from these two main activities: A1) Evaluation of a data pre-processing system in order to mini-mize unwanted sources of variations, due to different instrumental set up, manual spectra processing and to sample preparations arte-facts; A2) Application of multivariate chemiometric models in data analy-sis.
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Recent reports showed that early-interim PET-scan is the only tool predicting treatment outcome in advanced-stage classical Hodgkin lymphoma (asCHL). We evaluated the prognostic impact of a series of immunohistochemical markers, mentioned in literature as prognostic factors, on tissue microarrays assembled from biopsies of 220 patients: STAT1, SAP, TOP2A, PCNA and CD20, both in neoplastic (HRSC) and microenvironment cells (MC); RRM2, MAD2, CDC2, BCL2, P53, BCL11A and EBER in HRSC; ALDH1A1, TIA-1, granzyme B, perforin, FOXP3, and PD-1 in MC. All patients had been treated with standard ABVD ± Rx therapy. Interim-PET after 2 ABVD courses was evaluated according to the criteria indicated by Gallamini in his study (Journal of Clinical Oncology, 2007). The survival analysis has been performed in a subset of 138 patients whose complete clinical information were available: the mean age was 33.3 years (14-79), the stage III-IVB in 98 and IIB in 40, and the mean follow-up 38.1 months (7.6-71.9). Histopathology review showed: NS-I 75, NS-II 22, MC 20, DL 3, and CHL/nos 18 cases. Interim-PET was positive in 30 patients, while treatment failure was recorded in 32. In univariate analysis the factors related to treatment outcome were BCL2 on HRSC (cut-off value 50%), STAT1/SAP on MC, and PET (Log-rank 6.9, 7.9 and 93.9 respectively). The combined expression of STAT1 and SAP was scored in three levels depending on the architectural pattern: score 0 for expression of both with a diffuse/rosetting pattern; score 1 for discordant combination of diffuse/rosetting and scattered patterns; score 2 for both markers with a scattered pattern; the 3y-PFS were 87.4%, 69.9% and 61.9% respectively. In multivariate analysis PET, BCL2 and STAT1/SAP remained significant (HR: 24.8, 4.6, 7.5 and 5.6, respectively; p<.01). The proposed model is able to predict treatment response in AsCHL, even if with a lower efficacy than PET. However, unlike PET, it can be applied upfront therapy.
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Background: Delirium is defined as an acute disorder of attention and cognition. Delirium is common in hospitalized elderly patient and is associated with increased morbidity, length of stay and patient care costs. Although Delirium can develop at any time during hospitalization, it typically presents early in the post-operative period (Post-Operative Delirium, POD) in the surgery context. The molecular mechanism and possible genetics basis of POD onset are not known, as well as all the risk factors are not completely defined. Our hypothesis is that genetic risk factor involving the inflammatory response could have possible effects on the immunoneuroendocrine system. Moreover, our previous data (inflamm-aging) suggest that aging is associated with an increase of inflammatory status, favouring age-related diseases such as neurodegenerative diseases, frailty, depression among other. Some pro-inflammatory or anti-inflammatory cytokines, seem to play a crucial role in increasing the inflammatory status and in the communication and regulation of immunoneuroendocrine system. Objective: this study evaluated the incidence of POD in elderly patients undergoing general surgery, clinical/physical and psychological risk factors of POD insurgency and investigated inflammatory and genetic risk factors. Moreover, this study evaluated the consequence of POD in terms of institutionalization, development of permanent cognitive dysfunction or dementia and mortality Methods: patients aged over 65 admitted for surgery at the Urgency Unit of S.Orsola-Malpighi Hospital were eligible for this case–control study. Risk factors significantly associated with POD in univariate analysis were entered into multivariate analysis to establish those independently associated with POD. Preoperative plasma level of 9 inflammatory markers were measured in 42 control subjects and 43 subjects who developed POD. Functional polymorphisms of IL-1 α , IL-2, IL-6, IL-8, IL-10 and TNF-alpha cytokine genes were determined in 176 control subjects and 27 POD subjects. Results: A total of 351 patients were enrolled in the study. The incidence of POD was 13•2 %. Independent variables associated with POD were: age, co-morbidity, preoperative cognitive impairment, glucose abnormalities. Median length of hospital stay was 21 days for patients with POD versus 8 days for control patients (P < 0•001). The hospital mortality rate was 19 and 8•4 % respectively (P = 0•021) and mortality rate after 1 year was also higher in POD (P= 0.0001). The baseline of IL-6 concentration was higher in POD patients than patients without POD, whereas IL-2 was lower in POD patients compared to patients without POD. In a multivariate analysis only IL-6 remained associated with POD. Moreover IL-6, IL-8 and IL-2 are associated with co-morbidity, intra-hospital mortality, compromised functional status and emergency admission. No significant differences in genotype distribution were found between POD subjects and controls for any SNP analyzed in this study. Conclusion: In this study we found older age, comorbidity, cognitive impairment, glucose abnormalities and baseline of IL-6 as independent risk factors for the development of POD. IL-6 could be proposed as marker of a trait that is associated with an increased risk of delirium; i.e. raised premorbid IL-6 level predict for the development of delirium.
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Background: The recent increasing incidence of intrahepatic cholangiocellular carcinoma (ICC) in cirrhosis increased the problem of noninvasive differential diagnosis between ICC and hepatocellular carcinoma (HCC) in cirrhosis. In literature there isn’t data about treatment and prognosis of ICC in cirrhosis. Aim: To investigate the role of the different imaging techniques in the diagnosis of ICC in cirrhosis; to analyze treatments and prognosis with particular attention to factors associated with survival. Methods: The data of 30 cirrhotic patients with ICC were retrospectively collected; patients were referred to Liver Units (S.Orsola-Malpighi and S.Matteo Hospitals) between 2005 and 2011. The results of contrast-enhanced ultrasound (CEUS), computed tomography (CT) and magnetic resonance (MR) were evaluated; the enhancement pattern at different imaging techniques were analysed, with particular attention to misdiagnosis of HCC. We evaluated the different treatments and survival of the study group and then we performed the survival analysis of different clinico-pathologic factors. Results: Twenty-five patients underwent CEUS, 27 CT and 10 MR. In 3 cases (12%) CEUS misdiagnosed ICC for HCC, in 7 cases (26%) CT misdiagnosed ICC and in 1 case (10%) MR misdiagnosed ICC. Patient were followed for a mean of 30 months (range:4-86), with a mean survival of 30 months. Twenty-four out of 30 patients were treated with curative approach, while the other 6 underwent TACE (n=4), radioembolization (n=1) or systemic treatment with Gemcitabine (n=1). The univariate analysis revealed that CA19-9 levels, surveillance program and nodule size were significantly related with survival. By multivariate analysis only nodule size £ 40mm was significant (p=0,004). Conclusion: Diagnosis of ICC in cirrhosis remains difficult because there isn’t a typical enhancement pattern and in some cases it cannot be distinguished from HCC by the different imaging techniques. The study of survival related factors shows that nodule size ≤ 40mm is correlated with improved survival.
Resumo:
Background Decreased exercise capacity, and reduction in peak oxygen uptake are present in most patients affected by hypertrophic cardiomyopathy (HCM) . In addition an abnormal blood pressure response during a maximal exercise test was seen to be associated with high risk for sudden cardiac death in adult patients affected by HCM. Therefore exercise test (CPET) has become an important part of the evaluation of the HCM patients, but data on its role in patients with HCM in the pediatric age are quite limited. Methods and results Between 2004 and 2010, using CPET and echocardiography, we studied 68 children (mean age 13.9 ± 2 years) with HCM. The exercise test was completed by all the patients without adverse complications. The mean value of achieved VO2 max was 31.4 ± 8.3 mL/Kg/min which corresponded to 77.5 ± 16.9 % of predicted range. 51 patients (75%) reached a subnormal value of VO2max. On univariate analysis the achieved VO2 as percentage of predicted and the peak exercise systolic blood pressure (BP) Z score were inversely associated with max left ventricle (LV) wall thickness, with E/Ea ratio, and directly related with Ea and Sa wave velocities No association was found with the LV outflow tract gradient. During a mean follow up of 2.16 ± 1.7 years 9 patients reached the defined clinical end point of death, transplantation, implanted cardioverter defibrillator (ICD) shock, ICD implantation for secondary prevention or myectomy. Patients with peak VO2 < 52% or with peak systolic BP Z score < -5.8 had lower event free survival at follow up. Conclusions Exercise capacity is decreased in patients with HCM in pediatric age and global ventricular function seems being the most important determinant of exercise capacity in these patients. CPET seems to play an important role in prognostic stratification of children affected by HCM.
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Pochi sono i dati disponibili sul decorso clinico della malattia di Crohn del colon severa(CD). L'obiettivo è quello di descrivere il decorso clinico della colite di Crohn severa (CC) in una coorte di pazienti isolata con CD del colon o ileocolica, e di confrontarlo con il decorso clinico di pazienti affetti da colite ulcerosa severa (UC). 34 pazienti con CC severa sono stati identificati retrospettivamente nella nostra coorte di 593 pazienti ricoverati (2003-2012) attraverso la valutazione di CDAI score e HBI. 169 pazienti con UC severa sono stati identificati retrospettivamente in una coorte di 449 pazienti ricoverati (2003-2012) attraverso la valutazione del score di Lichtiger e di Truelove-Witts. Abbiamo valutato questi risultati: risposta agli steroidi, risposta ai farmaci biologici, tasso di colectomia acuta, tasso di colectomia durante il follow-up, megacolon e tasso di infezione da citomegalovirus. Non abbiamo trovato differenze significative nella risposta agli steroidi e biologici, della percentuale di infezione da citomegalovirus e di megacolon, mentre il tasso di colectomia in acuto è risultato essere maggiore nei pazienti con CC rispetto ai pazienti con UC; anche la differenza tra i tassi di colectomia alla fine del follow-up è risultata non significativa. Con l'analisi univariata la giovane età alla diagnosi è associata ad un aumentato rischio di colectomia in assoluto (p = 0,024) e in elezione (p = 0.022), ma non in acuto. Il tasso globale di colectomia nei pazienti con CC severa è superiore a quella dei pazienti con UC severa , ma questo dato non è supportato da una diversa risposta clinica alla terapia steroidea o terapia di salvataggio con biologici. Il vero decorso clinico della colite di Crohn severa necessita di essere chiarito da studi prospettici che includano un numero maggiore di pazienti con questo sottogruppo di malattia.
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La valutazione dei rischi associati all’operatività dei sistemi di stoccaggio, quali la sismicità indotta e la subsidenza, è requisito basilare per una loro corretta gestione e progettazione, e passa attraverso la definizione dell’influenza sullo stato tensionale delle variazioni di pressione di poro nel sottosuolo. Principale scopo di questo progetto è lo sviluppo di una metodologia in grado di quantificare le deformazioni dei reservoir in funzione della pressione di poro, di tarare i modelli utilizzati con casi studio che presentino dati di monitoraggio reali, tali da consentire un confronto con le previsioni di modello. In questa tesi, la teoria delle inomogeneità è stata utilizzata, tramite un approccio semianalitico, per definire le variazioni dei campi elastici derivanti dalle operazioni di prelievo e immissione di fluidi in serbatoi geologici. Estensione, forma e magnitudo delle variazioni di stress indotte sono state valutate tramite il concetto di variazione dello sforzo critico secondo il criterio di rottura di Coulomb, tramite un’analisi numerica agli elementi finiti. La metodologia sviluppata è stata applicata e tarata su due reservoir sfruttati e riconvertiti a sistemi di stoccaggio che presentano dataset, geologia, petrofisica, e condizioni operative differenti. Sono state calcolate le variazioni dei campi elastici e la subsidenza; è stata mappata la variazione di sforzo critico di Coulomb per entrambi i casi. I risultati ottenuti mostrano buon accordo con le osservazioni dei monitoraggi, suggerendo la bontà della metodologia e indicando la scarsa probabilità di sismicità indotta. Questo progetto ha consentito la creazione di una piattaforma metodologica di rapido ed efficace utilizzo, per stimare l’influenza dei sistemi di stoccaggio di gas sullo stato tensionale della crosta terrestre; in fase di stoccaggio, permette di monitorare le deformazioni e gli sforzi indotti; in fase di progettazione, consente di valutare le strategie operative per monitorare e mitigare i rischi geologici associati a questi sistemi.
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Obiettivi. Valutare l’angiogenesi tumorale mediante la Microvessel density (MVD) come fattore predittivo di mortalità per tumore polmonare non a piccole cellule (NSCLC) pT1aN0M0 trattato chirurgicamente. Metodi. I dati demografici, clinici e istopatologici sono stati registrati per 82 pazienti (60 maschi, 22 femmine) sottoposti a resezione chirurgica in due diverse Chirurgie Toraciche tra gennaio 2002 e dicembre 2007 per tumori polmonari non a piccole cellule pT1AN0M0. La MVD è stata valutata mediante il conteggio visivo dei microvasi positivi alla colorazione immunoistochimica con anticorpo monoclonale anti-CD31 e definita come il numero medio di microvasi per 1 mm2 di campo ottico. Risultati. Sono state eseguite 59 lobectomie (72%) e 23 resezioni sublobari (28%). Reperti istopatologici: 43 adenocarcinomi (52%) e 39 neoplasie non- adenocarcinoma (48%) pT1aN0M0; MVD media: 161 (CD31/mm2); mediana: 148; range 50-365, cut-off=150. Una MVD elevata (> 150 CD31/mm2) è stata osservata in 40 pazienti (49%), una MVD ridotta ( ≤ 150 CD31/mm2 ) in 42 pazienti (51%). Sopravvivenze a 5 anni: 70 % e 95%, rispettivamente per il gruppo ad elevata MVD vs il gruppo a ridotta MVD con una p = 0,0041, statisticamente significativa. Il tipo di resezione chirurgica, il diametro del tumore, le principali comorbidità e l’istotipo nono sono stati fattori predittivi significativi di mortalità correlata alla malattia. La MVD è risultata essere superiore nel gruppo “Adenocarcinoma” (MVD mediana=180) rispetto al gruppo “Non-Adenocarcinoma (MVD mediana=125), con un test di Mann-Whitney statisticamente significativo (p < 0,0001). Nel gruppo “Adenocarcinoma” la sopravvivenza a 5 anni è stata del 66% e 93 %, rispettivamente per i pazienti con MVD elevata e ridotta (p = 0.043. Conclusioni. Il nostro studio ha mostrato che la Microvessel density valutata con la colorazione immunoistochimica per CD31 ha un valore prognostico rilevante nel carcinoma polmonare in stadio precoce pT1aN0M0.
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Introduzione Nel 2014 è stato proposto un protocollo di studio riguardante la sorveglianza delle lesioni cistiche del pancreas (intese come IPMN) e denominato PACYFIC Study. Obiettivi Obiettivo primario era di stabilire l’impatto di un programma di sorveglianza in termini di pazienti arruolati e pazienti con indicazione chirurgica. Obiettivi secondari erano: 1) stabilire l’impatto dei fattori demografici, clinici, radiologici e della strategia di sorveglianza sull’indicazione chirurgica, sulla capacità individuare le lesioni maligne, sulla sopravvivenza. Materiali e Metodi Lo studio su cui si è basata la raccolta dei dati è uno studio di tipo prospettico, di coorte, multicentrico, internazionale. Lo studio ha incluso gli individui con una IPMN, di nuova o pregressa diagnosi, che giustifichi una sorveglianza o il trattamento chirurgico. I dati clinici, demografici, radiologici e chirurgici sono stati raccolti in un database prospettico. Le variabili discrete sono state espresse come frequenza e percentuale. Le continue come medie e deviazioni standard o mediane e range interquartile (IQR). Per l’analisi statistica sono stati utilizzati il test di Fischer, il test del Chi quadro, il test di Spearman, il test di Student. L’analisi multivariata è stata eseguita utilizzando la regressione logistica espressa come Odds Ratio e intervallo di confidenza al 95 %. Per la sopravvivenza è stato utilizzato il metodo di Kaplan-Meier. L’analisi multivariata sulle sopravvivenze è stata eseguita mediante la regressione di Cox. Risultati Il protocollo di sorveglianza ha permesso l'arruolamento di 516 pazienti. 53 pazienti hanno raggiunto l'indicazione chirurgica. La sopravvivenza globale della coorte è stata di 326.8± 9.1 mesi. I fattori predittivi la sopravvivenza sono risultati età (OR 1.07, P-value<0.001), sesso (OR 1.82, P-value=0.006), ittero, noduli murali (OR 4.84, P-value=0.018 e OR 2.19, P-value=0.016), chirurgia (OR 0.46, P-value 0.038). Conclusioni L'introduzione del protocollo di sorveglianza ha portato ad un aumento di identificazione di lesioni e ha avuto impatto sulla sopravvivenza
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Background: The early identification of responsive and resistant patients to androgen-receptor targeting agents (ARTA) in metastatic castration resistant-prostate cancer (CRPC) is not completely possible with PSA assessment and conventional imaging. Considering its ability to determine metabolic activity of lesions, PET assessment might be a promising tool. Materials and methods: We performed a monocentric prospective study in patients with metastatic CRPC under treatment with ARTA to evaluate the role of different PET radiotracers: 49 patients were randomized to receive 11C-Choline, 18F-FACBC or 68Ga-PSMA PET, one scan before therapy onset and one two months later. The primary aim was to investigate the performance of three different novel PET radiotracers for the early evaluation of response to ARTA in metastatic CRPC patients; with regards to this aim, the outcome evaluated was biochemical response (PSA reduction ≥50%). The secondary aim was to investigate the prognostic role of several semiquantitative PET parameters and their variations with the different radiotracers in terms of biochemical PFS (bPFS) and overall survival (OS). The study was promoted by the Italian Department of Health (code RF-2016-02364809). Results: With regards to the primary endpoint, at univariate analysis a statistically significant correlation was found between MTV_VARIATION% (p=0.018) and TLA_VARIATION% (p=0.025) with 68Ga-PSMA PET and biochemical response. As for the secondary endpoints, significant correlations with bPFS were found for 68Ga-PSMA PET MTV_TOT_PET1 (p=0.001), TLA_TOT_PET1 (p=0.025), MTV_VARIATION% (p=0.031). For OS, statistically significant correlations were found for: MAJ_SUV_MAX_PET1 with 11C-Choline PET (p=0.007); MTV_TOT_PET1 (p=0.004), MAJ_SUV_MAX_PET1 (p=0.029), SUVMAX_VARIATION% (p=0.04), MTV_VARIATION% (p=0.015), TLA_VARIATION% (p=0.03) with 68Ga-PSMA PET,; MTV_TOT_PET1 (p=0.011), TLA_TOT_PET1 (p=0.009), MAJ_SUV_MAX_PET1 (p=0.027), MTV_VARIATION% (p=0.048) with 18F-FACBC. Conclusions: Our prospective study highlighted that several 68Ga-PSMA and 18F-FACBC semiquantitative PET parameters and their variations present a prognostic value in terms of OS and bPFS and a correlation with biochemical response, that could help to assess response to ARTA.
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This dissertation studies the geometric static problem of under-constrained cable-driven parallel robots (CDPRs) supported by n cables, with n ≤ 6. The task consists of determining the overall robot configuration when a set of n variables is assigned. When variables relating to the platform posture are assigned, an inverse geometric static problem (IGP) must be solved; whereas, when cable lengths are given, a direct geometric static problem (DGP) must be considered. Both problems are challenging, as the robot continues to preserve some degrees of freedom even after n variables are assigned, with the final configuration determined by the applied forces. Hence, kinematics and statics are coupled and must be resolved simultaneously. In this dissertation, a general methodology is presented for modelling the aforementioned scenario with a set of algebraic equations. An elimination procedure is provided, aimed at solving the governing equations analytically and obtaining a least-degree univariate polynomial in the corresponding ideal for any value of n. Although an analytical procedure based on elimination is important from a mathematical point of view, providing an upper bound on the number of solutions in the complex field, it is not practical to compute these solutions as it would be very time-consuming. Thus, for the efficient computation of the solution set, a numerical procedure based on homotopy continuation is implemented. A continuation algorithm is also applied to find a set of robot parameters with the maximum number of real assembly modes for a given DGP. Finally, the end-effector pose depends on the applied load and may change due to external disturbances. An investigation into equilibrium stability is therefore performed.