Mathematical Biosciences and Engineering

A singularly perturbed SIS model with age structure

Jacek Banasiak, Eddy Kimba Phongi, MirosŁaw Lachowicz

2013, Volume 10, Issue 3: 499-521. doi: 10.3934/mbe.2013.10.499

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Diffusion rate determines balance between extinction and proliferationin birth-death processes

Hilla Behar, Alexandra Agranovich, Yoram Louzoun

2013, Volume 10, Issue 3: 523-550. doi: 10.3934/mbe.2013.10.523

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Gompertz model with delays and treatment: Mathematical analysis

Marek Bodnar, Monika Joanna Piotrowska, Urszula Foryś

2013, Volume 10, Issue 3: 551-563. doi: 10.3934/mbe.2013.10.551

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Mathematical modeling of glioma therapy using oncolytic viruses

Baba Issa Camara, Houda Mokrani, Evans K. Afenya

2013, Volume 10, Issue 3: 565-578. doi: 10.3934/mbe.2013.10.565

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Identifying preseizure state in intracranial EEG data using diffusion kernels

Dominique Duncan, Ronen Talmon, Hitten P. Zaveri, Ronald R. Coifman

2013, Volume 10, Issue 3: 579-590. doi: 10.3934/mbe.2013.10.579

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A partial differential equation model of metastasized prostatic cancer

Avner Friedman, Harsh Vardhan Jain

2013, Volume 10, Issue 3: 591-608. doi: 10.3934/mbe.2013.10.591

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Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha?

Avner Friedman, Edward M. Lungu

2013, Volume 10, Issue 3: 609-624. doi: 10.3934/mbe.2013.10.609

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Identifying requirements for the invasion of a tick species and tick-borne pathogen through TICKSIM

Holly Gaff, Robyn Nadolny

2013, Volume 10, Issue 3: 625-635. doi: 10.3934/mbe.2013.10.625

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Finite element approximation of a population spatial adaptation model

Gonzalo Galiano, Julián Velasco

2013, Volume 10, Issue 3: 637-647. doi: 10.3934/mbe.2013.10.637

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Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms

Alberto Gambaruto, João Janela, Alexandra Moura, Adélia Sequeira

2013, Volume 10, Issue 3: 649-665. doi: 10.3934/mbe.2013.10.649

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On the sensitivity of feature ranked lists for large-scale biological data

Danuta Gaweł, Krzysztof Fujarewicz

2013, Volume 10, Issue 3: 667-690. doi: 10.3934/mbe.2013.10.667

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An example from the world of tsetse flies

John Hargrove

2013, Volume 10, Issue 3: 691-704. doi: 10.3934/mbe.2013.10.691

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Mathematical modeling of citrus groves infected by huanglongbing

Karly Jacobsen, Jillian Stupiansky, Sergei S. Pilyugin

2013, Volume 10, Issue 3: 705-728. doi: 10.3934/mbe.2013.10.705

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Hybrid discrete-continuous model of invasive bladder cancer

Eugene Kashdan, Svetlana Bunimovich-Mendrazitsky

2013, Volume 10, Issue 3: 729-742. doi: 10.3934/mbe.2013.10.729

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Calcium waves with mechano-chemical couplings

Bogdan Kazmierczak, Zbigniew Peradzynski

2013, Volume 10, Issue 3: 743-759. doi: 10.3934/mbe.2013.10.743

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Spatial stochastic models of cancer: Fitness, migration, invasion

Natalia L. Komarova

2013, Volume 10, Issue 3: 761-775. doi: 10.3934/mbe.2013.10.761

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Equilibrium solutions for microscopic stochastic systems in population dynamics

MirosŁaw Lachowicz, Tatiana Ryabukha

2013, Volume 10, Issue 3: 777-786. doi: 10.3934/mbe.2013.10.777

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On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth

Urszula Ledzewicz, Omeiza Olumoye, Heinz Schättler

2013, Volume 10, Issue 3: 787-802. doi: 10.3934/mbe.2013.10.787

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On the MTD paradigm and optimal control for multi-drug cancer chemotherapy

Urszula Ledzewicz, Heinz Schättler, Mostafa Reisi Gahrooi, Siamak Mahmoudian Dehkordi

2013, Volume 10, Issue 3: 803-819. doi: 10.3934/mbe.2013.10.803

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Modeling bacterial attachment to surfaces as an early stage of biofilm development

Fadoua El Moustaid, Amina Eladdadi, Lafras Uys

2013, Volume 10, Issue 3: 821-842. doi: 10.3934/mbe.2013.10.821

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Modelling the role of drug barons on the prevalence of drug epidemics

John Boscoh H. Njagarah, Farai Nyabadza

2013, Volume 10, Issue 3: 843-860. doi: 10.3934/mbe.2013.10.843

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A simple model of carcinogenic mutations with time delay and diffusion

Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar, Jan Poleszczuk

2013, Volume 10, Issue 3: 861-872. doi: 10.3934/mbe.2013.10.861

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Application of evolutionary games to modeling carcinogenesis

Andrzej Swierniak, Michal Krzeslak

2013, Volume 10, Issue 3: 873-911. doi: 10.3934/mbe.2013.10.873

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A flexible multivariable model for Phytoplankton growth

Mohammad A. Tabatabai, Wayne M. Eby, Sejong Bae, Karan P. Singh

2013, Volume 10, Issue 3: 913-923. doi: 10.3934/mbe.2013.10.913

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T model of growth and its application in systems of tumor-immunedynamics

Mohammad A. Tabatabai, Wayne M. Eby, Karan P. Singh, Sejong Bae

2013, Volume 10, Issue 3: 925-938. doi: 10.3934/mbe.2013.10.925

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Computational modeling approaches to studying the dynamics of oncolytic viruses

Dominik Wodarz

2013, Volume 10, Issue 3: 939-957. doi: 10.3934/mbe.2013.10.939

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From the guest editors

Urszula Ledzewicz, Avner Friedman, Jacek Banasiak, Heinz Schättler, Edward M. Lungu

2013, Volume 10, Issue 3: i-ii. doi: 10.3934/mbe.2013.10.3i

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2013 Volume 10, Issue 3