U prvom delu rada, za karakteristican primer složene hemijske reakcije, proanalizirano je nekoliko matematickih metoda za resavanje sistema diferencijalnih jednacina kojima se opisuje proces, a koje se najcesce koriste u inženjerskoj teoriji i praksi. Analiza je izvrsena sa aspekta neophodnog matematickog znanja, potrebnog vremena za resavanje problema, mogucnosti greske kao i kontrole dobijenih rezultata. U drugom delu rada, dat je predlog za efikasnije resavanje posmatranog problema pri cemu je primenjen princip redukcije sistema na jednu diferencijalnu jednacinu, koju je najpogodnije posmatrati kao nehomogenu jednacinu I reda sa konstantnim koeficijentima, zavisnu od vremena. Pokazano je da je predložena metoda pogodnija u odnosu na postojece, s obzirom da ima određene prednosti i može se koristiti kao alternativa istim.

Background The polarized reorganization of the T cell membrane and intracellular signaling molecules in response to T cell receptor (TCR) engagement has been implicated in the modulation of T cell development and effector responses. In siRNA-based studies Dlg1, a MAGUK scaffold protein and member of the Scribble polarity complex, has been shown to play a role in T cell polarity and TCR signal specificity, however the role of Dlg1 in T cell development and function in vivo remains unclear. Methodology/Principal Findings Here we present the combined data from three independently-derived dlg1-knockout mouse models; two germline deficient knockouts and one conditional knockout. While defects were not observed in T cell development, TCR-induced early phospho-signaling, actin-mediated events, or proliferation in any of the models, the acute knockdown of Dlg1 in Jurkat T cells diminished accumulation of actin at the IS. Further, while Th1-type cytokine production appeared unaffected in T cells derived from mice with a dlg1germline-deficiency, altered production of TCR-dependent Th1 and Th2-type cytokines was observed in T cells derived from mice with a conditional loss of dlg1 expression and T cells with acute Dlg1 suppression, suggesting a differential requirement for Dlg1 activity in signaling events leading to Th1 versus Th2 cytokine induction. The observed inconsistencies between these and other knockout models and siRNA strategies suggest that 1) compensatory upregulation of alternate gene(s) may be masking a role for dlg1 in controlling TCR-mediated events in dlg1 deficient mice and 2) the developmental stage during which dlg1 ablation begins may control the degree to which compensatory events occur. Conclusions/Significance These findings provide a potential explanation for the discrepancies observed in various studies using different dlg1-deficient T cell models and underscore the importance of acute dlg1 ablation to avoid the upregulation of compensatory mechanisms for future functional studies of the Dlg1 protein.

Infective endocarditis is defi ned as an infection of the endocardial surface of the heart. Its intracardiac effects include severe valvular insuffi ciency, which may lead to intractable congestive heart failure and myocardialabscesses. This disease still carries a poor prognosis and a high mortality.A severe case of infective endocarditis with its complications is presented. A man with aortic prosthetic valve due to earlier aortic stenosis and corrected aortal coarctation and implanted pacemaker presentedwith prolonged unexplained fever, malaise, sweating, weight loss (15 kg/4 months) and lumbar pain. He was treated with broad-spectrum antibiotics prior IE diagnosis was considered. Echocardiogram showedaortic vegetations and possible periaortal abscess formation. Nonspecifi c infl ammation parameters were high positive. Cultures were constantly negative. His condition had deteriorated suddenly, and he had presentedwith worsening of cutaneous vasculitis, subacute glomerulonephritis and subsequent acute respiratory distress syndrome and septic shock. This patient survived with residual bilateral necrosis of the feet andtoxic peroneal paresis. At the end transthoracic echocardiogram showed enlarged heart chambers, LV mild dilated and concentric hypertrophy with ejection fraction about 40%, degenerative postinfl ammatory mitralvalve changes, mild mitral regurgitation and tricuspid regurgitation, postinfl ammatory aortic root fi brosis and moderate aortic valve stenosis (AVPG max 50,9 mmHg, AVPG mean 24 mmHg) with no pericardial effusion. Initial suspicion of Q fever was defi nitely excluded by serological testing showing nonspecifi c IgM positivity,probably rheumatoid factor related.

Introduction: Serum CA15-3 has been one of the most reliable tumor markers used in monitoring of breast cancer patients. To increase its sensitivity, the combined measurement of other tumor markers (CEA and ferritin) with CA15-3 was investigated. The aim of this study was determination of CA 15-3, CEA and ferritin in female patients with breast cancer, lung cancer and mastitisMethods: 300 patients with carcinoma, hospitalized at Department of Gynecologic Oncology and Department for Oncology at the University Clinics Center of Sarajevo and 200 healthy subjects were compared.Results: In patients with breast cancer the mean value of tumor markers were CEA 155.61 ng/mL, CA 15-3 106.38 U/mL and ferritin 197.03 ng/mL. In patients with lung cancer CEA was 58.97 ng/ml, CA 15-3 40.62 U/mL and ferritin 544.16 ng/mL. Patients with mastitis had CEA 5.17 ng/mL, CA 15-3 112.67 U/mL and ferritin 174.92 ng/mL. The control group had values of tumor markers CEA 1.62 ng/mL, CA 15-3 11.72 U/mL and ferritin 85.35 ng/mL. We found good correlation between CA 15-3 and CEA correlation coeffi cient was r = 0.750. There was a low correlation between CA 15-3 and ferritin with correlation coeffi cient r = 0.274.Conclusions: The CA 15-3 and CEA are useful markers in patients with confi rmed diagnosis of breast and lung cancers. The ferritin concentration has not increased in patients with breast cancer but it increased inlung patients. The future study has to make investigations of tumor markers and ferritin in different stage of breast cancer.

Introduction: Osteoporosis is a multifactorial polygenetic disease of which the genetic determinants are modulated by hormonal, environmental and nutritional factors. Identifi cation of the risk factors for osteoporosisrelated to nutrition is important in the prevention and treatment of this disease, considering that these factors can be modifi ed. The aim of this study was to examine infl uence of dietary calcium intake on bonemineral density in postmenopausal women who hadn’t a deficit of estrogen in their menstrual history.Methods: A total of 100 postmenopausal women living in Sarajevo area, aged 50-65 years, without estrogen deficiency in menstrual history were included in the study. Mineral bone density was measured at the lumbarspine and proximal femur by Dual–Energy X–ray Absorptiometry using Hologic QDR-4000 scanner. Examination and control group were formed based on mineral bone density values. The women in the examinationgroup had osteoporosis. The women in the control group had osteopenia or normal mineral bone density. Estimates of daily dietary calcium intake were performed based on a Food Frequency Questionnaire.Results: The average daily intake of dietary calcium among women who had osteoporosis was 967.32 mg, and in women who hadn’t osteoporosis 1195.12 mg. The difference between two groups was statistically significant (p<0.001). There was registered signifi cant correlation between intake of dietary calcium and mineral bone density in examination (p<0.01) and in control group (p<0.01).Conclusion: The results of this study have shown that adequate daily intake of dietary calcium in postmenopausal women aged 50-65 years living in Sarajevo area, which hadn’t estrogen defi ciency in their menstrualhistory (in the group of women without osteoporosis amounted to 1195.12 mg) has a positive impact on bone mineral density.

Introduction: Menopause is the absence of menses in the period longer that one year. It is widely accepted that menopause leads to changes in hormonal status, metabolism and lipid profi le. The aim of this study wasto analyze the infl uence of menopause on the concentrations of lipids, lipoproteins and also the influence of body mass index (BMI) and waist-hip ratio (WHR) on lipid profi le in post-menopausal women.Methods: Sixty post-menopausal women of average age of 52.82 years were compared to a group of 34 pre-menopausal women average age of 47.92 years.Results: Post-menopausal women had higher, but non signifi cant (p>0.05) concentrations of total cholesterol, very low density lipoproteins (VLDL), low density lipoproteins (LDL) and triglycerides than pre-menopausal women. The concentration of high density lipoproteins (HDL) was significantly lower in post-menopausal women than pre-menopausal (p 0.05). There was no difference between body mass index (BMI) and waste-hip ratio (WHR), but the WHR has shown as a signifi cant predictor of the LDL and cholesterol concentrations inpost-menopausal women.Conclusion: We can conclude that menopause leads to changes in lipid profi le by lowering of HDL and increasing the levels of apolipoprotein B, that increases the risk for cardiovascular disease. The WHR is thesignifi cant predictor of cardiovascular risk in post-menopausal women.

Introduction: Cerebrovascular insult (CVI) is acute or sub-acute occurrence of symptoms which signal death of cerebral cells caused by localized disruption of arterial circulation in the brain. The goal of this study is toinvestigate whether ischemic or hemorrhagic CVI can be used as predictor of rehabilitation.Methods: A retrospective study was conducted in the period from January 2009 to the December 2009 and as a source of data we used medical records. The study included 89 patients who had CVI and who werehospitalized at the Clinic for Physical medicine and rehabilitation, Clinical Center University of Sarajevo (CCUS). We analyzed socio-demographic variables such as gender and age and clinical variables: the diagnosis,the length of stay in hospital (LOH), and Barthel index (BI) at admission and discharge from hospital.Results: Out of 89 patients, 78/89 (87.6%) were patients with ischemic CVI (group A), and 11/89 (12.4%) with hemorrhagic CVI (group B). There was not a signifi cant association between the gender and type of CVI[(χ2(1)= .041, P> .05]. There was a statistically signifi cant difference in median of length of hospitalization (LOH) between two groups (U=186.5; z=-3,025; P= .002). There was not a statistically signifi cant differencein median of BI at admission (U=317.0; z=-1,399; P= .162) and  discharge (U=319.0; z=-1.374; P= .169) between two groups.Conclusion: Patients with hemorrhagic CVI have a longer stay in hospital and consequently more expensive cost of treatment.