Bessel functions and equations of mathematical physics

The aim of this dissertation is to introduce Bessel functions to the reader, as well as studying some of their properties. Moreover, the final goal of this document is to present the most well- known applications of Bessel functions in physics.

Estudo da resposta celular e apresentação antigênica dos fibrócitos na infecção por Leishmania (Leishmania) amazonensis

Os fibrócitos foram inicialmente identificados pelo seu recrutamento rápido para os tecidos lesionados e por atuar diretamente na resposta imune através do reconhecimento, apresentação antigênica e produção de citocinas e quimiocinas. Segundo Grab (2004) fibrócitos podem participar da resposta imune na leishmaniaose e por isso no presente estudo propomos analisar a resposta celular e apresentação antigênica dos fibrócitos na infecção por L. (L.) amazonensis. Para os experimentos in vivo camundongos C57BL/6 e knockout para o receptor TLR-2 foram inoculados na derme auricular com 105 formas promastigotas de L. (L.) amazonensis e 1, 7, 15 dias após a infecção as regiões de inóculo e os linfonodos foram retirados e processados para citometria de fluxo. Para os experimentos in vitro fibrócitos foram obtidos de mononucleares do sangue periférico de camundongos C57BL/6. Os fibrócitos foram avaliados quanto às suas características morfológicas e fenotípicas, infecção, expressão de MHC-II/B7-1/B7-2 e ativação de linfócitos T CD4+. As análises na região de inóculo mostraram o aumento no percentual de fibrócito na derme de camundongos após 15 dias de infecção tanto em animais C57BL/6 quanto em animais KO TLR-2. Neste sítio, os fibrócitos produziram citocinas e expressaram MHC-II, B7-1 e B7-2 podendo participar da resposta imune. As análises no linfonodo mostraram a existência de um alto percentual de fibrócitos nos animais controle, contudo, após infecção este percentual foi reduzido. Após infecção verificamos que os fibrócitos de animais WT C57BL/6 foram capazes de produzir as citocinas IL-4, IL-10 e IFN- durante o primeiro dia. Entretanto, na ausência de TLR-2 os fibrócitos presentes no linfonodo produziram TNF-α e IFN- que podem estar relacionadas com a ativação celular e aumento da capacidade de apresentação antigênica destas células durante a infecção. No linfonodo verificamos que os fibrócitos podem participar da apresentação antigênica após a infecção por L. (L.) amazonensis. Contudo, nos linfonodos de animais WT C57BL/6 observamos a redução significativa no percentual destas células expressando MHC-II e B7-1, o que pode estar relacionada a presença do TLR-2. Nos ensaios in vitro fibrócitos de camundongos C57BL/6 apresentaram alta capacidade endocítica, eliminaram os parasitas nas primeiras 24 horas de infecção, expressaram MHC-II/B7-1/B7-2 e foram capazes de ativar linfócitos T CD4+. Com isso, nossos resultados sugerem que os fibrócitos podem atuar na resposta celular e na apresentação antigênica durante a infecção por L. (L.) amazonensis, contudo estas funções podem ser moduladas pela participação do TLR-2 e pelo microambiente onde estes se encontram.

Study on the activation mechanism of BCL-2 related ovarian killer (BOK)

BCL-2 family proteins are key regulators of the mitochondrial apoptotic machinery, controlling the mitochondrial outer membrane (MOM) permeabilization (MOMP). BCL-2 related Ovarian Killer (BOK) is a poorly understood pro-apoptotic member of this protein family. It has been reported that BOK localizes predominantly (although not exclusively) at membranes of the endoplasmic reticulum and of the Golgi apparatus. However, it is unclear whether BOK also operates at the MOM to promote apoptosis, as other pro-apoptotic BCL-2 family members do. Basing on the fact that the other two BAX-like pro-apoptotic members have been reported to oligomerize in order to induce MOMP, site-directed mutagenesis was used to generate two point mutations that predictably eliminated BOK’s oligomerization capacity. Then, the effect of such mutations on BOK’s membrane activity was examined using fluorescence spectroscopy.

Dipeptidyl-Peptidase IV Activity Is Correlated with Colorectal Cancer Prognosis

Background Dipeptidyl-peptidase IV (EC 3.4.14.5) (DPPIV) is a serine peptidase involved in cell differentiation, adhesion, immune modulation and apoptosis, functions that control neoplastic transformation. Previous studies have demonstrated altered expression and activity of tissue and circulating DPPIV in several cancers and proposed its potential usefulness for early diagnosis in colorectal cancer (CRC). Methods and principal findings The activity and mRNA and protein expression of DPPIV was prospectively analyzed in adenocarcinomas, adenomas, uninvolved colorectal mucosa and plasma from 116 CRC patients by fluorimetric, quantitative RT-PCR and immunohistochemical methods. Results were correlated with the most important classic pathological data related to aggressiveness and with 5-year survival rates. Results showed that: 1) mRNA levels and activity of DPPIV increased in colorectal neoplasms (Kruskal-Wallis test, p<0.01); 2) Both adenomas and CRCs displayed positive cytoplasmic immunostaining with luminal membrane reinforcement; 3) Plasmatic DPPIV activity was lower in CRC patients than in healthy subjects (Mann-U test, p<0.01); 4) Plasmatic DPPIV activity was associated with worse overall and disease-free survivals (log-rank p<0.01, Cox analysis p<0.01). Conclusion/significance 1) Up-regulation of DPPIV in colorectal tumors suggests a role for this enzyme in the neoplastic transformation of colorectal tissues. This finding opens the possibility for new therapeutic targets in these patients. 2) Plasmatic DPPIV is an independent prognostic factor in survival of CRC patients. The determination of DPPIV activity levels in the plasma may be a safe, minimally invasive and inexpensive way to define the aggressiveness of CRC in daily practice.

Beverton and Holt equations: spreadsheet functions and uncertainty

This contribution illustrates how modern spreadsheets aid the calculation and visualization of yield models and how the effects of uncertainties may be incorporated using Monte Carlo simulation. It is argued that analogous approaches can be implemented for other assessment models of simple to medium complexity justifying wider use of spreadsheets in fisheries analysis and training.