The course is intended for students who have basic knowledge of probability such as random variables, distribution functions, generating functions and their basic properties. The basic concepts of risk analysis and their stochastic nature will be presented. The methodology presented in the course will broaden students’ knowledge area and show new applications of the probabilistic techniques in risk phenomena. Institute of Mathematics ans Statistics (IME) São Paulo main campus 1. Probability aspects of risk. 2. Distributions of total insurance paid in one year. 3. Principles of calculation of the premiums. 4. Exchanges of risk and re-insurance. Nikolai Valtchev Kolev 60 MAE5890 8 https://www.ime.usp.br/en

Most studies in Oncology, including tumor molecular biology and therapeutic clinical trials, have focused on cancers that occur in children and older adults. Recently, the interest in characterizing cancers affecting young adults has increased. Estimates in our state indicate that 4.8-5.0% of cancer cases occur in young adults aged 20-34 years (http://www.fosp.saude.sp.gov.br/epidemiologia/dados_rhc.php). Between 2000 and 2009, the Cancer Hospital Registry Bulletin of the Oncocentro Foundation of S_o Paulo (RHC / FOSP Bulletin, 2011) reported 13,373 cancer cases in adolescents and young adults, 40% in males and 60% in females. In general, germline mutation carriers in cancer predisposing genes develop the disease at an early age, however, only 10-20% of young patients have mutations in these genes, and the development of cancer remains largely unexplained. Habits and environmental factors, which may be involved in the processes of genetic damage or epigenetic events that control gene expression, may also influence the development of cancer. This course intends to explore the role of gene mutations and environmental factors in the development of cancer in young patients To investigate hereditary and environmental factors involved in the development of cancer in young adults, including family history, habits, gene mutations. Medical School (FM) São Paulo, Pinheiros campus Cancer in young adults and: 1. Germline mutations in cancer predisposing genes; 2. Environmental factors modifying the risk of cancer; 3. Gene polymorphisms; 4. Somatic mutations; 4. Prognosis Maria Aparecida Azevedo Koike Folgueira, Geertruida Hendrika de Bock 19 MCM5912 6 Presentation of seminars and / or written examination http://www.fm.usp.br/en/portal/

1. To disseminate the knowledge of policies and processes related to the publication of scientific papers in medicine. 2. To organize and clarify the steps by which a scientific work passes from completion to publication in a medical journal. 3. To enable students to the publication of data from a research in the best possible way. Medical School (FM) São Paulo, Pinheiros campus 1. Writing and scientific literature _ historical and philosophical principles, the role of the editor, reviewer and author. 2. The choice of the jornal in which to publish. Classes 1 and 2 are classical lectures followed by Q&A delivered in day 1 3. Bibliometric indicators (number of citations, impact factor, , altmetrics): what are, how they are calculated and what is the hierarchy? Class 3 is more practical (tutorial) and to be delivered in day 2. 4. Authorship, title, language, grammar, clarity, formatting, organization of concepts and information, structured abstract, the IMRAD model, the ethics committee, mandatory registration of clinical trials, figures and tables. Class 4 is a classical lecture to be delivered in day 3 (45 min) + Q&A 5. Important details: cover letter, statement of reviewers, contraindication of reviewers, key words, inclusion, choice and formatting references. Class 5 is also practical (tutorial) and to be delivered in day 3 as well. 6. Rejection and frustration, the Editor will do anything to reject; the opinion of the reviewer; the preparation of the response to the reviewer; how many rejections a work resists? 7. The post-sale marketing: quote, impact factor of the article and the author’s h-index. Class 6 and 7 are classical lectures to be delivered in day 4 (2 X 45 min) + Q&A Day 5 _ Paper Clinic. This day is reserved to practicing examples of preparing a manuscript for submission: a deep and practical look into class number 4 (students are encouraged to bring their own research manuscript) Bruno Caramelli, Ana Marusic 28 MCM5917 2 http://www.fm.usp.br/en/portal/

We aim at exposing Brazilian students to discussions on the state-of-the- art concepts of immunology and their application to the understanding of chronic diseases, either infectious or noncommunicable diseases, and in the implementation of prophylactic and therapeutic interventions. The course is divided into 4 one-week courses, that could be attended independently and will be delivered simultaneously to Paris and New York, via videoconference. All students and the responsible for the course will meet and attend to the course (so it is a presential course) which will be transmitted online simultaneously to S_o Paulo, Paris and New York. The responsible for the course will mediate discussions with the students at the end of every videoconference session. The discussion will serve as evaluation of active participation of the students by the responsible for the course. This course is an initiative from USP International Office and is part of an active strategy to foster international collaborations between USP and the Sorbonne University (Universit_ Pierre et Marie Curie). This is a pilot project; the course may be repeated in the future, depending on the results achieved. Medical School (FM) São Paulo, Pinheiros campus Principles and definitions of immunotherapies; legal and ethical issues; antibodies cytokines and chemokines; cell-based therapy; genetic vaccines. Roger Chammas 20 MCM5918 2 Participation in seminars http://www.fm.usp.br/en/portal/

We aim at exposing Brazilian students to discussions on the state-of-the- art concepts of immunology and their application to the understanding of chronic diseases, either infectious or noncommunicable diseases, and in the implementation of prophylactic and therapeutic interventions. The course is divided into 4 one-week courses, that could be attended independently and will be delivered simultaneously to Paris and New York, via videoconference. All students and the responsible for the course will meet and attend to the course (so it is a presential course) which will be transmitted online simultaneously to S_o Paulo, Paris and New York. The responsible for the course will mediate discussions with the students at the end of every videoconference session.The discussion will serve as evaluation of active participation of the students by the responsible for the course. This course is an initiative from USP International Office and is part of an active strategy to foster international collaborations between USP and the Sorbonne University (Universit_ Pierre et Marie Curie). This is a pilot project; the course may be repeated in the future, depending on the results achieved. Medical School (FM) São Paulo, Pinheiros campus Immunotherapies enhancing anti-tumor immunity or targeting T-cell inhibitory molecules; Chimeric Antigen receptors (CARs); Vaccines/cytokines; allogeneic stem cell transplantation for haematological malignancies. Roger Chammas 20 MCM5919 2 Participation in seminars http://www.fm.usp.br/en/portal/

We aim at exposing Brazilian students to discussions on the state-of-the-art concepts of immunology and their application to the understanding of chronic diseases, either infectious or noncommunicable diseases, and in the implementation of prophylactic and therapeutic interventions. The course is divided into 4 one-week courses, that could be attended independently and will be delivered simultaneously to Paris and New York, via videoconference. All students and the responsible for the course will meet and attend to the course (so it is a presential course) which will be transmitted online simultaneously to S_o Paulo, Paris and New York. The responsible for the course will mediate discussions with the students at the end of every videoconference session. The discussion will serve as evaluation of active participation of the students by the responsible for the course. This course is an initiative from USP International Office and is part of an active strategy to foster international collaborations between USP and the Sorbonne University (Universit_ Pierre et Marie Curie). This is a pilot project; the course may be repeated in the future, depending on the results achieved. Medical School (FM) São Paulo, Pinheiros campus Human Immunodeficiency Virus, Flu viruses, Dengue, Malaria, Tuberculosis, Chagas disease, Ebola, Chikungunya, Shigella; vaccination to Streptococcal pneumonias and development of vaccines for rheumatic fever Roger Chammas 20 MCM5920 2 Participation in seminars http://www.fm.usp.br/en/portal/

We aim at exposing Brazilian students to discussions on the state-of-the- art concepts of immunology and their application to the understanding of chronic diseases, either infectious or noncommunicable diseases, and in the implementation of prophylactic and therapeutic interventions. The course is divided into 4 one-week courses, that could be attended independently and will be delivered simultaneously to Paris and New York, via videoconference. All students and the responsible for the course will meet and attend to the course (so it is a presential course) which will be transmitted online simultaneously to S_o Paulo, Paris and New York. The responsible for the course will mediate discussions with the students at the end of every videoconference session. The discussion will serve as evaluation of active participation of the students by the responsible for the course. This course is an initiative from USP International Office and is part of an active strategy to foster international collaborations between USP and the Sorbonne University (Universit_ Pierre et Marie Curie. This is a pilot project; the course may be repeated in the future, depending on the results achieved. Medical School (FM) São Paulo, Pinheiros campus Inflammatory bowel disease, psoriais, rheumatoid arthritis, diabetes, atherosclerosis, allergic diseases na ashma, rheumatic fever. Roger Chammas 20 MCM5921 2 http://www.fm.usp.br/en/portal/

Stochastic processes are natural models for phenomena occurring in time and for spatial systems. Modeling natural phenomena using stochastic processes requires the knowledge of specific inferential and statistical model selection tools. Moreover, stochastic processes have also been used as computational tools in statistical inference, as exemplified by Monte-Carlo Markov chain algorithms for sampling probability distributions. To present basic notions of statistical inference for some important classes of stochastic processes. Institute of Mathematics ans Statistics (IME) São Paulo main campus 1) Statistical inference for Markov chains. Maximum likelihood estimation. Estimation of the order of the chain. 2) Statistical inference for stochastic chains with memory of variable length. The algorithm Context. 3) Context tree selection using the Bayesian Information Criterion (BIC). The algorithm_CTW. 4) Statistical inference for hidden Markov models. 5) Gibbs states. Interaction graph selection and maximum likelihood estimation for the_Ising_model. 6) Simulations using Monte-Carlo Markov chains (MCMC)._Glauber_dynamics, Gibbs sampler, Metropolis algorithm. 7) Perfect simulation algorithms. Jefferson Antonio Galves, Florencia Graciela Leonardi 40 MAE5741 8 Students will be evaluated through projects, seminars, exercise lists and write tests, https://www.ime.usp.br/en

The general treatment of Probability Theory requires its formulation in abstract spaces, in the framework introduced by Kolmogorov. Introduce the basics of Probability Theory into abstract spaces, including the necessary elements of Measure Theory, in the framework formulated by Kolmogorov. Institute of Mathematics ans Statistics (IME) São Paulo main campus 1. Probability Spaces: (a) Lebesgue-Stieltjes Measure, Carath_dory Extension Theorem; (b) Measures of Probability, Random Variables; (c) Integration, Expectation, Convergence Theorems; (d) Product measures, Fubini’s theorem; (e) Independence; (f) Kolmogorov Extension Theorem; (g) Radon-Nikodym Theorem, Conditional Expectation. 2. Laws of Large Numbers: (a) Convergence in Probability and Almost Sure Convergence; (b) Weak Law of Large Numbers; (c) Borel-Cantelli lemmas; (d) Strong Law of Large Numbers. 3. Central Limit Theorem: (a) Convergence in Distribution; (b) Characteristic Functions; (c) TLC for Random Variables I.I.D; (d) TLC for Triangular Arrangements. Vladimir Belitsky, Miguel Natalio Abadi, Anatoli Iambartsev 50 MAE5811 8 Exam and exercises, with the possibility of collecting an article at the end of the course. https://www.ime.usp.br/en

The formal study of the asymptotic properties of estimators and test statistics is fundamental to understand and propose modern statistical methods. To discuss formally asymptotic theory of statistical methods. Institute of Mathematics ans Statistics (IME) São Paulo main campus 1. Order of magnitudes and Taylor series. 2. Weak and strong convergence laws of the estimators. Univariate and multivariate cases. Slutsky’s Theorem. 3. Central limit Theorems _ Univariate, Multivariate and Martingales. Cram_r-Wold’s Theorem. Hajek-Sidak’ s Theorem and applications to regression models. Delta method and variance stabilizing transformations. 4. Asymptotic expansions. 5. Applications. Antonio Carlos Pedroso de Lima, Alexandre Galv_o Patriota 50 MAE5835 8 Exams, Worksheets and Seminars https://www.ime.usp.br/en

The correct application of selection approaches for superior genotypes is directly dependent of the chromosome behavior during the process of cell division – mitosis and meiosis. Moreover, cytogenetics is the connection between the molecular level (genomics and epigenetics) and phenotypic level (from individual to biosystems). Cytogenetics by itself is the phenotypic expression of the genome organization and its epigenetic indexing. The evolutionary machinary acts directly in the genome organization promoting changes in the structure, behavior and the number of genes, with direct consequences to phenotype and thus, to germplasm manipulation. The cytogenetic knowledge is an important and indispensable tool for General Biology, with direct applications to Plant Breeding, Biotechnology and Biodiversity conservation, exploration and prospection. Basic concepts of Cytogenetics applied to plant breeding are presented and their implications to genomics, epigenomics, evolution, systematic, biotechnology and ecology, covering: 1) Introduction to Cytogentics; 2) Introduction to genome organization, chromatin epigenetics and chromosome structure (DNA sequences and chromosomal proteins – histone and non-histone proteins); 3) mitotic behaviour and biotechnology applications; 4) meiotic behavior and applications to plant breeding; 5) Cytological and molecular principles of genetic mapping; 6)Structural and numerical chromosomal alterations, mechanism of origin and consequences; 7) Importance of the chromosomal alterations to evolution and gene mapping into the chromosomes; 8) Recombination mechanisms, meiotic behavior and genetic mapping in polyploid species (cytogenetic principles); 9) variant chromosomal systems from parthenogenesis and apomixis Luiz de Queiroz College of Agriculture (ESALQ) Piracicaba campus – Introduction to Cytogenetics. General overview of chromosomes behavior during cell cycles – mitosis and meiosis, chromatin strcuture and molecular organization of the chromosomes. Introduction to epigenetic indexing mechanism. – Meiotic behavior. Meiosis and recombination, linkage and crossing-over. Genetic and Cytological Maps. Genetic mapping approaches in plant and animals. Meiotic instabilities and their consequences to fertility. – Alterations in chromosome structure – deficiencies/deletions, duplications, inversions and translocations. Origin, phenotypic effects, meiotic behavior and its genetic consequences. Segmental Genome Duplication (SGD) – Alterations in chromosome numbers – aneuploidy, autopolyploidy and allopolyploidy. Origin and genetic consequences. Importance in the evolution and for breeding. Aneuploidy applied to genetic mapping. – Whole Genome Duplication (WGD) and types of poliploidy. Artificial polyploids. Gene expression and silencing in polyploids. Gene expression and epigentic alterations as consequences of genome duplication. – Diversity in reproductive systems, parthenogenesis and apomixis. Cytogenetics, Evolution and Biotechnology. Study of cases covering the main subjects. Practicals: chromosome analysis in plant and animals. Chiasma and meiotic instability analysis in maize. Chromosomal alterations in plants. Physical mapping of ribosomal genes by Fluorescent Molecular in situ Hybridization. Immunodetection of chromosomal proteins and DNA methylation. Introduction to bioinformatic applied to cytogenetics. Mateus Mondin 70 LGN5703 8 Seminar presentations and bibliographic review. Theoretical exams. Analysis of practical exercises. http://pt.esalq.usp.br/

The aim of this course is to provide the students’ knowledge and training in genetics and breeding of allogamous (cross-fertilized) crop species, including annual, semi-perennial, and perennial crop species. Thus, this course is directed to the students that intend to develop both basic, as the study of the genetic structure of populations and statistical-genetic designs, and applied research, as the study of the selection methods for the development and improvement of cultivars. It is the only course in this post-graduate program that addresses the subjects related to the breeding and genetics of allogamous crop species. Therefore, for this program, this course could be deemed of paramount importance for those students that intend to carry out research in genetics and/or plant breeding programs of allogamous crops in public or private institutions. Luiz de Queiroz College of Agriculture (ESALQ) Piracicaba campus Genetic structure of allogamous species. Population effective size. Conservation of the accesses of germplasm banks. Covariance of relatives at intra- and interpopulation levels. Components of the genetic variance for populations at any level of inbreeding. Heterosis and inbreeding depression. Selection of parents for the development of reference populations. Responses to selection at intra- and interpopulation methods. Effects of the genetic drift and the inbreeding depression in response to selection. Changes in the heterosis and the inbreeding depression through selection. Theoretical responses to intra- and interpopulation recurrent selection. Comparison of the selection methods for perennial, semi-perennial, annual crop species, and asexual reproduction plant species. Recurrent selection, early selection, selection index, and observations repeated in temporal times. Responses to selection under abiotic stressed environments. Correlated responses to selection under any level of inbreeding. Molecular markers and plant breeding: backcross assisted selection; development of heterotic groups; hybrid prediction; genome-wide selection. Roberto Fritsche Neto 23 LGN5825 8 02 Written tests, participation during classes and weekly exercises in R. http://pt.esalq.usp.br/