Mathematical Modelling of Natural Phenomena

Free Access

Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model

Julián Pérez-Beteta, Juan Belmonte-Beitia and Víctor M. Pérez-García

Published online: 28 February 2020

DOI: https://doi.org/10.1051/mmnp/2019022

Open Access

Numerical modelling challenges for clinical electroporation ablation technique of liver tumors

Olivier Gallinato, Baudouin Denis de Senneville, Olivier Seror and Clair Poignard

Published online: 28 February 2020

DOI: https://doi.org/10.1051/mmnp/2019037

Free Access

Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy

Rebecca E.A. Stace, Thomas Stiehl, Mark A.J. Chaplain, Anna Marciniak-Czochra and Tommaso Lorenzi

Published online: 12 March 2020

DOI: https://doi.org/10.1051/mmnp/2019027

Free Access

Efficiency of cancer treatments: in silico experiments

Elena Piretto, Marcello Delitala and Mario Ferraro

Published online: 12 March 2020

DOI: https://doi.org/10.1051/mmnp/2019031

Free Access

A three phase model to investigate the effects of dead material on the growth of avascular tumours

Thomas D. Lewin, Philip K. Maini, Eduardo G. Moros, Heiko Enderling and Helen M. Byrne

Published online: 18 March 2020

DOI: https://doi.org/10.1051/mmnp/2019039

Open Access

The impact of competition between cancer cells and healthy cells on optimal drug delivery

Heyrim Cho and Doron Levy

Published online: 22 September 2020

DOI: https://doi.org/10.1051/mmnp/2019043

Open Access

Effects of delayed immune-activation in the dynamics of tumor-immune interactions

Parthasakha Das, Pritha Das and Samhita Das

Published online: 24 September 2020

DOI: https://doi.org/10.1051/mmnp/2020001

Open Access

Microtubules (MT) a key target in oncology: mathematical modeling of anti-MT agents on cell migration

Emilie Denicolai, Stéphane Honoré, Florence Hubert and Rémi Tesson

Published online: 03 December 2020

DOI: https://doi.org/10.1051/mmnp/2020004

Open Access

Optimal control for a mathematical model for chemotherapy with pharmacometrics

Maciej Leszczyński, Urszula Ledzewicz and Heinz Schättler

Published online: 03 December 2020

DOI: https://doi.org/10.1051/mmnp/2020008

Open Access

Multiobjective approach in the treatment of cancer

Soukaina Sabir, Nadia Raissi and Mustapha Serhani

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020057

Open Access

Memory effects on the proliferative function in the cycle-specific of chemotherapy

Najma Ahmed, Dumitru Vieru and F.D. Zaman

Published online: 22 March 2021

DOI: https://doi.org/10.1051/mmnp/2021009

Open Access

Three-dimensional phase field model for actin-based cell membrane dynamics

Mohammad Abu Hamed and Alexander A. Nepomnyashchy

Published online: 14 October 2021

DOI: https://doi.org/10.1051/mmnp/2021048

Open Access

A mathematical justification for metronomic chemotherapy in oncology

Luis A. Fernández, Cecilia Pola and Judith Sáinz-Pardo

Published online: 09 June 2022

DOI: https://doi.org/10.1051/mmnp/2022010

Open Access

Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity

Dmitry Bratsun and Ivan Krasnyakov

Published online: 16 June 2022

DOI: https://doi.org/10.1051/mmnp/2022013

Mathematical Modelling of Natural Phenomena

Cancer modelling