Titlebook: Understanding Complex Biological Systems with Mathematics; Ami Radunskaya,Rebecca Segal,Blerta Shtylla Book 2018 The Author(s) and the Ass

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Wanda Strychalski,Sarah Bryant,Baasansuren Jadamba,Eirini Kilikian,Xiulan Lai,Leili Shahriyari,Rebecs. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including the maximal ideal space, the Silov boundary, Geason parts, etc. have led to new questions and to new m

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Catalina Anghel,Kellie Archer,Jen-Mei Chang,Amy Cochran,Anca Radulescu,Carolyn M. Salafia,Rebecca Tu logic and model theory.Presents the essential aspects of mo.This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as:.?The p-norms on vector space

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Searching for Superspreaders: Identifying Epidemic Patterns Associated with Superspreading Events ises in the population. In particular, as disease outbreaks occur more rapidly and more frequently when initiated by superspreaders, our results emphasize the need for expeditious public health interventions.

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How Disease Risks Can Impact the Evolution of Social Behaviors and Emergent Population Organizationcan shape the evolution of social behaviors and the population structures that emerge from them. We close by discussing open questions, including how these insights may shift when instead considering macro-parasites as the infection spreading on the network.

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Modeling the Argasid Tick (,) Life Cycle,lar tick equilibrium values, we observe significant differences in the time to equilibrium. The results demonstrate the likely establishment of these ticks if introduced into a new area even if there is only one type of host. These models provide the basis for developing future models that include d

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,A Mathematical Model for Tumor–Immune Dynamics in Multiple Myeloma,stable states in these cases may correspond to long-term disease control or a higher level of disease burden. This initial analysis of the dynamical system provides a foundation for later work, which will consider combination therapies, their expected outcomes, and optimization of regimens.

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Fluid Dynamics of Nematocyst Prey Capture,apes of nematocysts may have important fluid dynamic consequences. We find that reaching the inertial regime is critical for hitting prey over short distances since the large boundary layers surrounding the barb characteristic of viscous dominated flows effectively push the prey out of the way.

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Simulations of the Vascular Network Growth Process for Studying Placenta Structure and Function Asscular networks in placentas identified as at-risk for autism. Terminating vessels more frequently or growing longer vessels could each reproduce longer vessels and less branching, but not greater boundary coverage or smaller changes in flow directions. As for their influence on blood flow, longer ve