{"product_id":"mathematical-oncology-2013-9781493948031","title":"Mathematical Oncology 2013","description":"\u003cp\u003e • Author(s): Alberto D'Onofrio\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eWith 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.\u003c\/p\u003e\u003cp\u003eTumors 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 equations. Third, at the end of anti-cancer therapy, a small number of malignant cells remain, making the post-treatment dynamics inherently stochastic. Fourth, the growth parameters of macroscopic tumors are non-constant, as are the parameters of anti-tumor therapies. Changes in these parameters may induce phenomena that are mathematically equivalent to phase transitions. Fifth, tumor vascular growth is random and self-similar. Finally, the drugs used in chemotherapy diffuse and are taken up by the cells in nonlinear ways.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eMathematical Oncology 2013\u003c\/i\u003e will appeal to graduate students and researchers in biomathematics, computational and theoretical biology, biophysics, and bioengineering.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277378969751,"sku":"9781493948031","price":7267.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781493948031.webp?v=1769288203","url":"https:\/\/atlanticbooks.com\/products\/mathematical-oncology-2013-9781493948031","provider":"Atlantic Books","version":"1.0","type":"link"}