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The book contains a selection of articles on special research topics on Mathematical Biology and the interdisciplinary fields of mathematical modelling of biosystems. The treatment is both pedagogical and advanced to enhance future scientific research. We include comprehensive reviews written by prominent leaders of scientific research groups, new results on Population Dynamics such as Hybrid Discrete-Continuous Models of Cell Populations and the Hopf bifurcation on Predator-Prey Models, and some state of the art research on Medical Physics such as Optimization Methods applied to Raman Spectroscopy. Other topics covered focus on evolution biology, infectious diseases, DNA structure and many more.
List of contents
Population Dynamics: Application of Hybrid Discrete-Continuous Models in Cell Population Dynamics (P Kurbatova, N Eymard, A Tosenberger, V Volpert and N Bessonov); Spatially Explicit Dispersal Modelling for the Conservation of Jaguars in Colombia (A M Bernal, E Payan and J Cordovez); Sensitivity Matrix of an Ecological Network with Periodic Dynamics (F Cordova-Lepe, L Garay-Narvaez, R Ramos-Jiliberto and G Robledo); Computational Biology: Data Mining and Optimization applied to Raman Spectroscopy for Oncology Applications (M B Fenn, V Pappu, P Xanthopoulos and P M Pardalos); Exploring Triplet Entropy in HIV Sequences (L dos Santos, J L Rybarczyk Filho, G J L Gerhardt and I T S Sartor); PROTPRED-GROMACS: Evolutionary Algorithm with GROMACS for Protein Structure Prediction (R A Faccioli, I N da Silva, A C B Delbem, G T P Brancini and A Caliri); Optimal Control Techniques in Mathematical Modelling of Biological Phenomena: Transmission Dynamics of HIV/AIDS with Optimal control in the presence of Carefree susceptibles and treatment (K O Okosun, O D Makinde and G J Abiodun); Two different Approaches for Gene Expression Model Control (N A Barbosa, H Diaz and A Ramirez); Bioremediation of NaturalWater resources via Optimal Control Techniques (P Gajardo, H Ramirez, V Riquelme and A Rapaport); Theoretical Epidemiology: Change in Host Behavior and its Impact on the Transmission Dynamics of Dengue (F Sanchez, D Murillo and C Castillo-Chavez); Robust Control Approaches for Epidemiological Diseases (H Puebla, S Martinez-Delgadillo, P K Roy and E Hernandez-Martinez); Stability of Disease Free State in SIS Models. Almost Periodic Rates and Pulse Vaccination (G Robledo, M Pinto and F Cordova-Lepe); Modelling of Physiological Disorders: Sensitive Dependence on the Threshold for TAF Signaling in Solid Tumors (D I Wallace and P Winsor); Mathematical Modelling in Ecology: What can the Black Robin tell us about Population Bottlenecks? (C E M Pearce); Mathematical Modelling of Infectious Diseases: Curing by Infecting: Two-strain Competition during the Acute Phase of Chagas Disease (S P Vega, G J Sibona and C A Condat); Mathematical Modelling of the Interaction between Mycobacterium tuberculosis Infection and Cellular Immune Response (H M Yang); Biological Physics and Biophysics: Fractal Plasma: Debye-Hckel Screening on a Fractal (A Y Grosberg); Evolution Biology: Interbreeding Conditions for Explaining Neanderthal DNA in Living Humans: The Nonneutral Case (A G M Neves); Genetic Redundancy and the Origin of Chromosomes (J F Fontanari); Educational Tutorial Chapter on the Mathematical Modelling of Biological Phenomena: If Life is Analog, Why be Discrete? Middle-out Modelling in Mathematical Biology (J R Jungck); and other papers.
