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Mathematical and computational modeling approaches in biological and medical research are experiencing rapid growth globally. This Special Issue Book intends to scratch the surface of this exciting phenomenon. The subject areas covered involve general mathematical methods and their applications in biology and medicine, with an emphasis on work related to mathematical and computational modeling of the complex dynamics observed in biological and medical research. Fourteen rigorously reviewed papers were included in this Special Issue. These papers cover several timely topics relating to classical population biology, fundamental biology, and modern medicine. While the authors of these papers dealt with very different modeling questions, they were all motivated by specific applications in biology and medicine and employed innovative mathematical and computational methods to study the complex dynamics of their models. We hope that these papers detail case studies that will inspire many additional mathematical modeling efforts in biology and medicine

predator-prey model --- n/a --- uncertainty quantification --- identification of DNA-binding proteins --- chemostat --- numerical characterization --- differential equations --- uniform persistence --- spotting --- 2-combination --- wildfire --- chronic myeloid leukemia --- combination therapy --- liquid-solid-porous media seepage coupling --- dynamic model --- obesity --- epidermis --- articular cartilage --- androgen deprivation therapy --- quorum sensing --- mechano-electrochemical model --- bifurcations --- bacterial competition --- global stability --- cartilage degeneration --- flocculation --- dynamical system --- transport equations --- bootstrapping --- stationary distribution --- algae growth models --- hemodynamic model --- delay --- Raphidocelis subcapitata --- cartilage loading --- Daphnia magna --- cell-based vector --- switched harvest --- hepatitis B --- rich dynamics --- spotting distribution --- asymptotic theory --- tyrosine kinase inhibitors --- phylogenetic analysis --- immune response --- microcirculation load --- graphical representation --- intraguild predation --- numerical simulation --- bacterial inflammation --- data fitting --- immunomodulatory therapies --- drug therapy --- delay differential equations (DDE) --- global asymptotic stability --- model comparison tests --- optimal control --- generalized pseudo amino acid composition --- random perturbations --- limit cycle --- prostate cancer --- mathematical model --- mathematical modeling --- persistence --- equilibrium points