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Cancer cells exist in an ever-changing “ecology” and are subject to evolutionary pressures just like any species in nature. This edited book explores the following themes: 1) how the dynamics of mutation, epigenetics, and gene expression noise are sources of genetic diversity; 2) how scarce resources influence cancer therapy resistance; 3) how predator-prey dynamics are mirrored in immune-cancer cross-talk; 4) how cancer cells parallel niche construction theory; 5) how changing fitness landscapes enable cancer growth; and 6) how cancer cells interact within the body. The book is a resource for understanding cancer as a disease of multicellularity grounded in evolutionary principles. By u...
Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogeneity into systems of ordinary and discrete differential equations without significantly increasing system dimensionality. The method additionally allows making use of results of bifurcation analysis performed on simplified homogeneous systems, thereby building on the existing body of tools and knowledge and expanding applicability and predictive power of many mathematical models. - Introduces Hidden Keystone Variable (HKV) method, which allows modeling evolution of heterogenous populations, while reducing multi-dimens...
A fiercely told survivorship novel about one girl's determination to push her body to win gold at the Olympics, and the power of uniting as women to speak out. The only thing seventeen-year-old Audrey Lee dreams about is swinging her way to Olympic glory. Nothing is going to stop her, not even the agony in her back. Every spasm and ache will be worth it once she has that gold medal around her neck. But none of her training prepares her for her coach being led away in handcuffs, accused by a fellow gymnast of the unthinkable. No one knows what, or who to believe and Audrey's teammates go into meltdown. As the Olympic torch closes in, Audrey has no idea who to trust, let alone what life holds after her final dismount. The only thing she can do is hope that in the end, belief in herself and what's left of her team, will be enough for gold.
Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book. Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.
With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion–consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology. It highlights the work of world-class research teams, and explores how different researchers approach the same problem in various ways. Tumors are complex entities that present numerous challenges to the mathematical modeler. First and foremost, they grow. Thus their spatial mean field description involves a free boundary problem. Second, their interiors should be modeled as nontrivial porous media using constitutive e...
Understanding Cancer from a Systems Biology Point of View: From Observation to Theory and Back starts with a basic question, why do we sometimes observe accelerated metastatic growth after resection of primary tumors? Next, it helps readers understand the systemic nature of cancer and how it affects treatment approaches and decisions. The book puts together aspects of cancer that many readers have most likely never combined, using unfamiliar, novel methods. It is a valuable resource for cancer researchers, cancer biologists, mathematicians and members of the biomedical field who are interested in applying systems biology methodologies for understanding and treating cancer. - Explains the systemic nature of cancer and how it affects decisions on treatment - Brings a variety of methods together, showing, in detail, the logical approach to finding answers to complex questions - Discusses the theoretical underpinnings of cancer as a systemic disease, providing the reader with valuable information on applicable cases
In our current era of rapidly developing cancer drugs and therapies, we also see improvement of cancer treatment outcomes stagnating when it comes to determining quality of life or long-term survival. This is because while new treatments are making small incremental progress in outcomes, most cancer patients still depend on conventional methods that are both toxic and ineffective. While new cancer drugs are becoming more precise or targeted, less attention is being paid to the overall health and wellbeing of the patient, which we propose is essential for long-term cancer control and improving a patient’s quality of life. Rx for Hope, backed by rigorous science and real-life patient cases, ...
Ecology and Evolution of Cancer is a timely work outlining ideas that not only represent a substantial and original contribution to the fields of evolution, ecology, and cancer, but also goes beyond by connecting the interfaces of these disciplines. This work engages the expertise of a multidisciplinary research team to collate and review the latest knowledge and developments in this exciting research field. The evolutionary perspective of cancer has gained significant international recognition and interest, which is fully understandable given that somatic cellular selection and evolution are elegant explanations for carcinogenesis. Cancer is now generally accepted to be an evolutionary and ...
Manchmal erfordern Mut und Loyalität einen Balanceakt der Extraklasse... Ihr Leben lang hat Audrey auf diesen Moment hingefiebert: Sie und ihre beste Freundin Emma haben die Chance, bei den Olympischen Spielen zu zeigen, dass sie zu den besten Turnerinnen der Welt gehören. Aber es kommt anders als geplant. Denn ihr Trainer, dem beide Mädchen vertrauen, seit sie drei Jahre alt sind, wird wegen Missbrauch an ihrer Mannschaftskollegin verhaftet. Das Team steht vor einem Scherbenhaufen. Obwohl Audrey in Leo, dem Sohn der neuen Trainerin, ihre große Liebe findet, hat sie keine Ahnung, wie sie Olympia bestehen soll. Und sie muss sich entscheiden: Ist sie bereit, für ihren Traum von Gold ihre ...