Download Applications of Dynamical Systems in Biology and Medicine by Trachette Jackson, Ami Radunskaya PDF

By Trachette Jackson, Ami Radunskaya

This quantity highlights difficulties from quite a number organic and clinical functions that may be interpreted as questions on procedure habit or regulate. issues comprise drug resistance in melanoma and malaria, organic fluid dynamics, auto-regulation within the kidney, anti-coagulation remedy, evolutionary diversification and photo-transduction. Mathematical thoughts used to explain and examine those organic and scientific difficulties comprise usual, partial and stochastic differentiation equations, hybrid discrete-continuous ways, in addition to 2 and 3D numerical simulation.

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Extra resources for Applications of Dynamical Systems in Biology and Medicine

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Lorz et al used a continuous model of anti-cancer therapy resistance under the assumption that resistance is induced by adaptation to drug environmental pressures [37]. This has been modeled using a concept of the expression level of a resistance gene influencing tumor cells birth/death rates, effects of chemotherapies and mutations. The same group has also considered how the spatial structure plays a role in resistance development under combined therapy protocols. By including spatial structure into the model, the authors were able to suggest that adaptation to local conditions (microenvironment) is directly linked to resistance development [38].

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Rev. Cancer, 5:516–525. 2. M. Dean, T. Fojo, S Bates (2005) Tumour stem cells and drug resistance, Nat. Rev. Cancer, 5(4):275–284. 3. B. , Mol. Biotechnol. 46(3):308–316. 4. H. L B. Borden (2013) Mechanisms and insights into drug resistance in cancer, Front. Pharmacol. 4:e28. 5. C. Bock, T. Lengauer (2012) Managing drug resistance in cancers: lessons from HIV therapy, Nat. Rev. Cancer, 12:494–501. 6. G. Lambert, L. Estévez-Salmeron, S. Oh, D. M. D. H. Austin (2011) An analogy between the evolution of drug resistance in bacterial communities and malignant tissues.

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