Mathematical Biology

Section edited by Marek Kimmel

Progress in experimentation, quantification and visualization techniques now makes it possible to build mathematical models that are far more accurate than ever before. Importantly, single-cell dynamic imaging sequencing enables gauging the heterogeneity within cell populations, whether stochastic or caused by deterministic complexity. This makes models that were purely theoretical 20 or 30 years ago falsifiable and capable of predicting effects of a wide range of perturbations. We seek papers combining new biology with advanced and rigorous mathematics. Examples of focal topics include, but are not limited to: stochastic models of mutation, emergence and evolution of multiple clonal populations in cancer, biological pattern formation influenced by stochasticity, interaction of cell population genetics and cell population dynamics in progression of chronic diseases, and self-organization in normal and disease processes (such as cancer).

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  1. Research

    Importins promote high-frequency NF-κB oscillations increasing information channel capacity

    Importins and exportins influence gene expression by enabling nucleocytoplasmic shuttling of transcription factors. A key transcription factor of innate immunity, NF-κB, is sequestered in the cytoplasm by its ...

    Zbigniew Korwek, Karolina Tudelska, Paweł Nałęcz-Jawecki, Maciej Czerkies, Wiktor Prus, Joanna Markiewicz, Marek Kochańczyk and Tomasz Lipniacki

    Biology Direct 2016 11:61

    Published on: 11 November 2016

  2. Research

    Emergence of heterogeneity in acute leukemias

    Leukemias are malignant proliferative disorders of the blood forming system. Sequencing studies demonstrate that the leukemic cell population consists of multiple clones. The genetic relationship between the d...

    Thomas Stiehl, Christoph Lutz and Anna Marciniak-Czochra

    Biology Direct 2016 11:51

    Published on: 12 October 2016

  3. Review

    Optimal treatment and stochastic modeling of heterogeneous tumors

    In this work we review past articles that have mathematically studied cancer heterogeneity and the impact of this heterogeneity on the structure of optimal therapy. We look at past works on modeling how hetero...

    Hamidreza Badri and Kevin Leder

    Biology Direct 2016 11:40

    Published on: 23 August 2016

  4. Research

    Beyond Turing: mechanochemical pattern formation in biological tissues

    During embryogenesis, chemical (morphogen) and mechanical patterns develop within tissues in a self-organized way. More than 60 years ago, Turing proposed his famous reaction-diffusion model for such processes...

    Moritz Mercker, Felix Brinkmann, Anna Marciniak-Czochra and Thomas Richter

    Biology Direct 2016 11:22

    Published on: 4 May 2016

  5. Research

    Numerical simulation of vascular tumour growth under antiangiogenic treatment: addressing the paradigm of single-agent bevacizumab therapy with the use of experimental data

    Antiangiogenic agents have been recently added to the oncological armamentarium with bevacizumab probably being the most popular representative in current clinical practice. The elucidation of the mode of acti...

    Katerina D. Argyri, Dimitra D. Dionysiou, Fay D. Misichroni and Georgios S. Stamatakos

    Biology Direct 2016 11:12

    Published on: 22 March 2016

  6. Research

    Characterizing exons and introns by regularity of nucleotide strings

    Translation of nucleotides into a numeric form has been approached in many ways and has allowed researchers to investigate the properties of protein-coding sequences and noncoding sequences. Typically, more pr...

    Tonya Woods, Thanawadee Preeprem, Kichun Lee, Woojin Chang and Brani Vidakovic

    Biology Direct 2016 11:6

    Published on: 8 February 2016

  7. Research

    Models of buffering of dosage imbalances in protein complexes

    Stoichiometric imbalances in macromolecular complexes can lead to altered function. Such imbalances stem from under- or over-expression of a subunit of a complex consequent to a deletion, duplication or regula...

    Reiner A. Veitia and James A. Birchler

    Biology Direct 2015 10:42

    Published on: 15 August 2015

  8. Research

    Modeling the population dynamics of lemon sharks

    Long-lived marine megavertebrates (e.g. sharks, turtles, mammals, and seabirds) are inherently vulnerable to anthropogenic mortality. Although some mathematical models have been applied successfully to manage ...

    Easton R White, John D Nagy and Samuel H Gruber

    Biology Direct 2014 9:23

    Published on: 18 November 2014

  9. Research

    Earth before life

    A recent study argued, based on data on functional genome size of major phyla, that there is evidence life may have originated significantly prior to the formation of the Earth.

    Caren Marzban, Raju Viswanathan and Ulvi Yurtsever

    Biology Direct 2014 9:1

    Published on: 9 January 2014

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