Tutorials in Mathematical Biosciences I

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Release : 2005-01-28
Genre : Mathematics
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Book Rating : 446/5 ( reviews)

Tutorials in Mathematical Biosciences I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tutorials in Mathematical Biosciences I write by Alla Borisyuk. This book was released on 2005-01-28. Tutorials in Mathematical Biosciences I available in PDF, EPUB and Kindle. This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.

Tutorials in Mathematical Biosciences IV

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Release : 2008-04-26
Genre : Mathematics
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Book Rating : 316/5 ( reviews)

Tutorials in Mathematical Biosciences IV - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tutorials in Mathematical Biosciences IV write by Avner Friedman. This book was released on 2008-04-26. Tutorials in Mathematical Biosciences IV available in PDF, EPUB and Kindle. This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.

Tutorials in Mathematical Biosciences

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Release : 2005
Genre : Biomathematics
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Tutorials in Mathematical Biosciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tutorials in Mathematical Biosciences write by . This book was released on 2005. Tutorials in Mathematical Biosciences available in PDF, EPUB and Kindle.

Tutorials in mathematical biosciences

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Tutorials in mathematical biosciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tutorials in mathematical biosciences write by . This book was released on . Tutorials in mathematical biosciences available in PDF, EPUB and Kindle.

Tutorials in Mathematical Biosciences III

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Release : 2005-11-23
Genre : Mathematics
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Book Rating : 151/5 ( reviews)

Tutorials in Mathematical Biosciences III - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tutorials in Mathematical Biosciences III write by Avner Friedman. This book was released on 2005-11-23. Tutorials in Mathematical Biosciences III available in PDF, EPUB and Kindle. This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.