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| Author | : Lorand Gabriel Parajdi |
| Publisher | : |
| Total Pages | : 200 |
| Release | : 2019 |
| Genre | : |
| ISBN | : |
| Author | : Lorand Gabriel Parajdi |
| Publisher | : Casa Cărții de Știință |
| Total Pages | : 122 |
| Release | : 2021-11-01 |
| Genre | : Computers |
| ISBN | : 6061718810 |
Bringing new contributions to science might be challenging, however, this is our path to evolution. We cannot assume that we know everything, but it is only our curiosity that can lead us to answers. Therefore, we can and we should keep trying, seeking new and different paths. There is always a starting point: asking yourself „Why?”, and the answer will follow… The purpose of the present book is the study of some mathematical models of cell dynamics and convex optimization problems applied to chronic myeloid leukemia, a type of leukemia also known as chronic myelogenous leukemia. We take into consideration basic concepts, methods and results from the theory of differential equations, such as: existence, uniqueness, monotonicity, boundedness, continuous dependence on data and stability of solutions.
| Author | : Antonio Fasano |
| Publisher | : Springer |
| Total Pages | : 352 |
| Release | : 2017-10-30 |
| Genre | : Mathematics |
| ISBN | : 3319605135 |
This book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each topic. Mathematical models are used to simulate processes normally occurring in flowing blood and to predict the effects of dysfunctions (e.g. bleeding disorders, renal failure), as well as the effects of therapies with an eye to improving treatments. Most of the models have a completely new approach that makes patient-specific simulations possible. The book is mainly intended for mathematicians interested in medical applications, but it is also useful for clinicians such as hematologists, nephrologists, cardio-surgeons, and bioengineers. Some parts require no specific knowledge of mathematics. The book is a valuable addition to mathematics, medical, biology, and bioengineering libraries.
| Author | : Viktor V. Ivanov |
| Publisher | : Elsevier |
| Total Pages | : 355 |
| Release | : 2006-05-10 |
| Genre | : Computers |
| ISBN | : 0080462723 |
This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling. Applications to modeling in the areas of AIDS, cancers and life longevity are investigated in this book. Introduces and proves fundamental properties of evolutionary systems on optimal distribution of their various resources on their internal and external functions Gives detailed analysis of applications to modeling AIDS, cancers, and life longevity Introducing and grounding the respective numerical algorithms and software Detailed analysis of hundreds of scientific works in the field of mathematical modeling of the cell and cell associated objects
| Author | : Avner Friedman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 260 |
| Release | : 2005-12-19 |
| Genre | : Mathematics |
| ISBN | : 9783540291626 |
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.
| Author | : Alexander Asachenkov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 344 |
| Release | : 1993-12-23 |
| Genre | : Mathematics |
| ISBN | : 9780817636920 |
This text discusses mathematical modelling, analysis and control of the immune system and disease dynamics. The purpose of the book is the practical application of mathematics to immunology and medicine in order to establish a basis for more effective treatment, to provide a tutorial systematic description of how the immune system controls diseases and to present several significant examples such as malignant tumour dynamics and control, and viral hepatitis.
| Author | : Tetsuji Tokihiro |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2021 |
| Genre | : |
| ISBN | : 9789811671333 |
This book describes the dynamics of biological cells and their mathematical modeling. The topics cover the dynamics of RNA polymerases in transcription, construction of vascular networks in angiogenesis, and synchronization of cardiomyocytes. Statistical analysis of single cell dynamics and classification of proteins by mathematical modeling are also presented. The book provides the most up-to-date information on both experimental results and mathematical models that can be used to analyze cellular dynamics. Novel experimental results and approaches to understand them will be appealing to the readers. Each chapter contains 1) an introductory description of the phenomenon, 2) explanations about the mathematical technique to analyze it, 3) new experimental results, 4) mathematical modeling and its application to the phenomenon. Elementary introductions for the biological phenomenon and mathematical approach to them are especially useful for beginners. The importance of collaboration between mathematics and biological sciences has been increasing and providing new outcomes. This book gives good examples of the fruitful collaboration between mathematics and biological sciences.
| Author | : Lee A. Segel |
| Publisher | : CUP Archive |
| Total Pages | : 776 |
| Release | : 1980 |
| Genre | : Mathematics |
| ISBN | : 9780521229258 |
Interest in theoretical biology is rapidly growing and this 1981 book attempts to make the theory more accessible to experimentalists. Its primary purpose is to demonstrate to experimental molecular and cellular biologists the possible usefulness of mathematical models. Biologists with a basic command of calculus should be able to learn from the book what assumptions are implied by various types of equations, to understand in broad outline a number of major theoretical concepts, and to be aware of some of the difficulties connected with analytical and numerical solutions of mathematical problems. Thus they should be able to appreciate the significance of theoretical papers in their fields and to communicate usefully with theoreticians in the course of their work.
| Author | : Uduak Zenas George |
| Publisher | : |
| Total Pages | : |
| Release | : 2012 |
| Genre | : |
| ISBN | : |
The focus of this thesis is to propose and implement a highly efficient numerical method to study cell dynamics. Three key phases are covered: mathematical modelling, linear stability analytical theory and numerical simulations using the moving grid finite element method. This aim is to study cell deformation and cell movement by considering both the mechanical and biochemical properties of the cortical network of actin filaments and its concentration. These deformations are assumed to be a result of the cortical actin dynamics through its interaction with a protein known as myosin II in the cell cytoskeleton. The mathematical model that we consider is a continuum model that couples the mechanics of the network of actin filaments with its bio-chemical dynamics. Numerical treatment of the model is carried out using the moving grid finite element method. By assuming slow deformations of the cell boundary, we verify the numerical simulation results using linear stability theory close to bifurcation points. Far from bifurcation points, we show that the model is able to describe the deformation of cells as a function of the contractile tonicity of the complex formed by the association of actin filaments with the myosin II motor proteins. Our results show complex cell deformations and cell movements such as cell expansion, contraction, translation and protrusions in accordance with experimental observations. The migratory behaviour of cells plays a crucial role in many biological events such as immune response, wound healing, development of tissues, embryogenesis, inflammation and the formation of tumours.
| Author | : Heinz-Erich Wichmann |
| Publisher | : Springer |
| Total Pages | : 234 |
| Release | : 1985-09-19 |
| Genre | : Medical |
| ISBN | : |
V.1. Model description, irradiation, erythropoietic stimulation. v.2. Erythropo ietic suppression, combined stresses, drug effects.
