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"The book will provide an exhaustive and clear explanation of how statistics, mathematics and informatics have been used in cancer research. To do so, state-of-the-art biostatistics, biomathematics and bioinformatics methods will be described and discussed in detail through illustrative and capital examples taken from cancer research work already published. "

"HIV (Human Immunodeficiency Virus) merupakan virus infeksi berbahaya yang tidak dapat disembuhkan. Penularan infeksi HIV melalui jarum suntik rentan terjadi dalam komunitas pecandu narkoba suntik (Injecting Drug Users / IDU) yang saling berbagi jarum suntik dalam grup ?sahabat?. Penulisan ini membahas perilaku penyebaran infeksi HIV pada komunitas IDU melalui model matematika berdasarkan model klasik epidemik SIR (Susceptibles, Infectious, Recovered). Model menggunakan asumsi bahwa pecandu yang menyadari sudah mengidap AIDS tidak ikut berbagi jarum suntik dalam komunitas IDU. Model penyebaran infeksi HIV pada komunitas IDU memperhatikan kekuatan infeksi dengan mekanisme pertukaran jarum suntik. Untuk menganalisa perilaku penyebaran infeksi HIV pada komunitas IDU, model dianalisa dengan menentukan basic reproduction ratio ( ) dan dua titik kesetimbangan yaitu titik kesetimbangan bebas infeksi dan titik kesetimbangan epidemik. Analisa sistem dinamik dilakukan dengan menganalisa basic reproduction ratio ( ) untuk menentukan kestabilan dari titik kesetimbangan bebas infeksi dengan menggunakan teorema kestabilan global Lyapunov dan kestabilan titik kesetimbangan epidemik dengan teorema kestabilan lokal dan didukung oleh kriteria Bendixon-Dulac. Hasil penelitian menunjukkan bahwa infeksi HIV mewabah pada komunitas IDU jika R⍺ > 1, sedangkan jika R⍺ ≤ 1 maka infeksi HIV tidak mewabah pada komunitas IDU.

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Human immunodeficiency Virus (HIV) is a dangerous infection virus that cannot be recovered. The spreading of HIV infection through drug injecting equipment (DIE) is susceptible for Injecting Drug Users (IDU) Community who shared drug injecting equipment for the ?friendship? group. This paper explains the behavior of HIV transmission among community of IDU through by mathematical models based on classical epidemic models SIR (Susceptibles, Infectious, Recovered). Model uses assumption that the users who aware suffered AIDS will not share drug injecting equipment among IDU community. Models for HIV transmission among IDU community notice the mechanism of exchange of a drug injecting equipment. To analyze the behavior of HIV transmission among IDU community, models is going to be analyze by determine the basic reproduction ratio and two equilibriums which are disease-free equilibrium and epidemic equilibrium. Dynamic system analysis can be done by analyze of basic reproduction ratio to determine the stability of disease-free equilibrium by Lyapunov global stable theorem and the stability of epidemic equilibrium by local stable theorem with Bendixon-Dulac criterion. As the results of this paper, Infection of HIV become an epidemic on IDU community if R⍺ > 1, whereas HIV is not an epidemic on IDU community if R⍺ ≤ 1."

"Contents : Functions, graphs, and limits -- Differentiation : basic concepts -- Additional applications of the derivative -- Exponential and logarithmic functions -- Integration -- Additional topics in integration -- Calculus of several variables -- Appendix A: algebra review."

"Mathematical concepts and methods in modern biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software."

"Bioconsensus is a rapidly evolving scientific field in which consensus methods, often developed for use in social choice theory, are adapted for such areas of the biological sciences as taxonomy, systematics, and evolutionary and molecular biology. Typically, after several alternatives are produced using different data sets, methods or algorithms, one needs to find a consensus solution. The axiomatic approach of this book explores the existence or nonexistence of consensus rules that satisfy particular sets of desirable well-defined properties. The axiomatic research reviewed here focuses first on the area of group choice, then in areas of biomathematics where the objects of interest represent partitions of a set, hierarchical structures, phylogenetic trees, or molecular sequences. Axiomatic Consensus Theory in Group Choice and Biomathematics provides a unique comprehensive review of axiomatic consensus theory in biomathematics as it has developed over the past 30 years. Established here are the theory's basic results using standard terminology and notation and with uniform attention to rigor and detail. This book cites both traditional and current literature and poses open problems that remain to be solved. The bibliographic notes in each chapter place the described work within a general context while providing useful pointers to relevant research. The bibliographic references are a valuable resource for both students and experts in the field."