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

By Trachette Jackson, Ami Radunskaya

This quantity highlights difficulties from quite a number organic and clinical purposes that may be interpreted as questions on approach habit or keep watch over. subject matters contain drug resistance in melanoma and malaria, organic fluid dynamics, auto-regulation within the kidney, anti-coagulation treatment, evolutionary diversification and photo-transduction. Mathematical recommendations used to explain and examine those organic and scientific difficulties contain usual, partial and stochastic differentiation equations, hybrid discrete-continuous methods, in addition to 2 and 3D numerical simulation.

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Biol. 72(4):523–538. 27. J. A. S. Brown (2011) Evolutionary dynamics in cancer therapy. Mol. Pharm. 8(6):2094–2100. 28. M. Mumenthaler, J. Foo, K. C. B. Agus, W. Pao, P. Mallick, F. Michor (2011) Evolutionary modeling of combination treatment strategies to overcome resistance to tyrosine kinase inhibitors in non-small cell lung cancer. Mol. Pharm. 8(6):2069–2079. 29. J. Foo, K. M. Mumenthaler (2013) Cancer as a moving target: understanding the composition and rebound growth kinetics of recurrent tumors.

Below we briefly discuss the equations of motion in this viscous regime, the method of regularized Stokeslets and its image system, and the geometry of the helical flagellum. In later sections, we will describe the solution process for treating the motion of the finite-sized vesicle in the fluid. 2) where p is fluid pressure, u is fluid velocity, μ is fluid viscosity, g is an arbitrary constant external force acting on the fluid, δ is the Dirac delta function, and xˆ = x − x0 . L. Buchmann et al.

However, it has been observed that resistance to one drug is accompanied by resistance to other drugs whose structures and mechanisms of action may be completely different (multiple drug resistance). Thus, this poses interesting questions for future research. If the hypothesis of a pre-existing population of resistant cells is true, what mechanisms enable those cells to resist the Emergence of Anti-Cancer Drug Resistance 29 drug action of the often multiple chemotherapeutic treatments that may be given to a patient sequentially or in parallel?