Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This work presents two educational proposals, directed to the high school, of matrix product aplication. The first proposal is made on geometric transformations (reflection, rotation, scale, shearing) with images of letters of the alphabet. It is divided into two parts: in the first, students need to make the product of matrices and the construction of the images, while in the second GeoGebra software is used to assist in the calculation and construction of the figures. The second proposal is about the projection of population growth through Leslie Model, using the Octave software as calculation tool. Before each proposal is provided the theory that supports geometric transformations as well the Leslie Model and several examples to clarify these definitions. / Este trabalho apresenta duas propostas didáticas, direcionadas ao Ensino Médio, de aplicação do produto matricial. A primeira proposta é feita sobre transformações geométricas (reflexão, rotação, escala, cisalhamento) com a imagem de letras do nosso alfabeto. Ela está dividida em duas partes: na primeira, os alunos devem fazer o produto de matrizes e a construção das imagens à mão, enquanto na segunda é utilizado o programa GeoGebra para auxiliar nos cálculos e na construção das figuras. A segunda proposta é feita sobre projeção de crescimento populacional através do Modelo de Leslie, sendo utilizado o programa Octave como ferramenta de cálculo. Antes de cada proposta, é oferecida a teoria que fundamenta tanto as transformações geométricas quanto o Modelo de Leslie, e vários exemplos são usados para esclarecer essas definições.

miRNAs are non-coding RNAs of approx. 22 nucleotides in length that inhibit gene expression at the post-transcriptional level. By virtue of this gene regulation mechanism, miRNAs play a critical role in several biological processes and patho-physiological conditions, including cancers. miRNA behavior is a result of a multi-level complex interaction network involving miRNA-mRNA, TF-miRNA-gene, and miRNA-chemical interactions; hence the precise patterns through which a miRNA regulates a certain disease(s) are still elusive. Herein, I have developed an integrative genomics methods/pipeline to (i) build a miRNA regulomics and data analytics repository, (ii) create/model these interactions into networks and use optimization techniques, motif based analyses, network inference strategies and influence diffusion concepts to predict miRNA regulations and its role in diseases, especially related to cancers. By these methods, we are able to determine the regulatory behavior of miRNAs and potential causal miRNAs in specific diseases and potential biomarkers/targets for drug and medicinal therapeutics.