Mathematical Biosciences and Engineering: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=8 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8453 From the guest editors http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8453
For more information please click the “Full Text” above. ]]> Urszula Ledzewicz, Avner Friedman, Jacek Banasiak, Heinz Schättler and Edward M. Lungu Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8454 A singularly perturbed SIS model with age structure http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8454 Jacek Banasiak, Eddy Kimba Phongi and MirosŁaw Lachowicz Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8455 Diffusion rate determines balance between extinction and proliferation in birth-death processes http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8455     When the stochasticity of the reactions, the presence of discrete reactants and their spatial distribution is incorporated into the analysis, a non-uniform reactant distribution emerges, even when all parameters are uniform in space.
    Using a combination of Monte Carlo simulation and percolation theory based estimations; the asymptotic behavior of such systems is studied. In all studied cases, it turns out that the overall survival of the reactant population in the long run is based on the size and shape of the reactant aggregates, their distribution in space and the reactant diffusion rate. We here show that for a large class of models, the reactant density is maximal at intermediate diffusion rates and low or zero at either very high or very low diffusion rates. We give multiple examples of such system and provide a generic explanation for this behavior. The set of models presented here provides a new insight on the population dynamics in chemical, biological and ecological systems. ]]> Hilla Behar, Alexandra Agranovich and Yoram Louzoun Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8456 Gompertz model with delays and treatment: Mathematical analysis http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8456 Marek Bodnar, Monika Joanna Piotrowska and Urszula Foryś Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8457 Mathematical modeling of glioma therapy using oncolytic viruses http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8457 Baba Issa Camara, Houda Mokrani and Evans K. Afenya Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8458 Identifying preseizure state in intracranial EEG data using diffusion kernels http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8458     The algorithm is tested on icEEG data recorded from several electrode contacts from a patient being evaluated for possible epilepsy surgery at the Yale-New Haven Hospital. Numerical results show that the proposed approach provides a distinction between interictal and preseizure states. ]]> Dominique Duncan, Ronen Talmon, Hitten P. Zaveri and Ronald R. Coifman Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8459 A partial differential equation model of metastasized prostatic cancer http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8459 Avner Friedman and Harsh Vardhan Jain Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8460 Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha? http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8460 Avner Friedman and Edward M. Lungu Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8461 Identifying requirements for the invasion of a tick species and tick-borne pathogen through TICKSIM http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8461 Holly Gaff and Robyn Nadolny Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8462 Finite element approximation of a population spatial adaptation model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8462 spatial adaptation of populations. After describing the model, in which a time non-local drift term is considered, we propose a numerical discretization in terms of a mass-preserving time semi-implicit finite element method. Finally, we provied the results of some biologically inspired numerical experiments showing qualitative differences between the original model of [18] and the model proposed in this article. ]]> Gonzalo Galiano and Julián Velasco Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8463 Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8463 Alberto Gambaruto, João Janela, Alexandra Moura and Adélia Sequeira Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8464 On the sensitivity of feature ranked lists for large-scale biological data http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8464 Danuta Gaweł and Krzysztof Fujarewicz Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8465 An example from the world of tsetse flies http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8465 Glossina spp.). Examples are provided of apparently sound pieces of mathematics which, when applied to real data, provide obviously erroneous results. More serious objections arise when mathematical models make no attempt to address the real world in such a way that they can be tested. Unless models account for the known biology of the problem under investigation, and are challenged with data, the existence and nature of imperfections in the models will likely not be detected. ]]> John Hargrove Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8466 Mathematical modeling of citrus groves infected by huanglongbing http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8466 Karly Jacobsen, Jillian Stupiansky and Sergei S. Pilyugin Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8467 Hybrid discrete-continuous model of invasive bladder cancer http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8467 Eugene Kashdan and Svetlana Bunimovich-Mendrazitsky Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8468 Calcium waves with mechano-chemical couplings http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8468 Bogdan Kazmierczak and Zbigniew Peradzynski Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8469 Spatial stochastic models of cancer: Fitness, migration, invasion http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8469 Natalia L. Komarova Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8470 Equilibrium solutions for microscopic stochastic systems in population dynamics http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8470 MirosŁaw Lachowicz and Tatiana Ryabukha Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8471 On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8471 Urszula Ledzewicz, Omeiza Olumoye and Heinz Schättler Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8472 On the MTD paradigm and optimal control for multi-drug cancer chemotherapy http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8472 Urszula Ledzewicz, Heinz Schättler, Mostafa Reisi Gahrooi and Siamak Mahmoudian Dehkordi Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8473 Modeling bacterial attachment to surfaces as an early stage of biofilm development http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8473 Fadoua El Moustaid, Amina Eladdadi and Lafras Uys Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8474 Modelling the role of drug barons on the prevalence of drug epidemics http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8474 John Boscoh H. Njagarah and Farai Nyabadza Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8475 A simple model of carcinogenic mutations with time delay and diffusion http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8475 Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar and Jan Poleszczuk Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8476 Application of evolutionary games to modeling carcinogenesis http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8476 Andrzej Swierniak and Michal Krzeslak Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8477 A flexible multivariable model for Phytoplankton growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8477 Mohammad A. Tabatabai, Wayne M. Eby, Sejong Bae and Karan P. Singh Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8478 T model of growth and its application in systems of tumor-immune dynamics http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8478 Mohammad A. Tabatabai, Wayne M. Eby, Karan P. Singh and Sejong Bae Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8479 Computational modeling approaches to studying the dynamics of oncolytic viruses http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8479 Dominik Wodarz Sat, 1 Jun 2013 20:00:00 GMT