Article
Mathematics, Applied
Odelaisy Leon-Triana, Soukaina Sabir, Gabriel F. Calvo, Juan Belmonte-Beitia, Salvador Chulian, Alvaro Martinez-Rubio, Maria Rosa, Antonio Perez-Martinez, Manuel Ramirez-Orellana, Victor M. Perez-Garcia
Summary: Immunotherapies, particularly the use of CAR T cells to treat B-cell malignancies, have shown significant success in targeting cancer cells. A mathematical model describing the time response of leukaemias to CAR T cell injection accounts for various biological processes and predicts the dynamics of different compartments post-injection, emphasizing the potential role of competition between leukaemic and CAR T cells in cancer relapses.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Review
Microbiology
Jose Carlos Ramon Hernandez-Beltran, Alvaro San Millan, Ayari Fuentes-Hernandez, Rafael Pena-Miller
Summary: This review explores theoretical models of plasmid dynamics, ranging from the molecular mechanisms of plasmid partition and copy-number control at a cellular level, to their consequences in the population dynamics of complex microbial communities.
FRONTIERS IN MICROBIOLOGY
(2021)
Editorial Material
Biology
M. Kuznetsov, J. Clairambault, V. Volpert
Summary: The authors express gratitude towards the commentators for their interesting ideas and acknowledge the points raised that were not covered in their review. They agree with the comments and will address some of them in the following discussion.
PHYSICS OF LIFE REVIEWS
(2022)
Article
Mathematical & Computational Biology
Cassidy K. Buhler, Rebecca S. Terry, Kathryn G. Link, Frederick R. Adler
Summary: In cancer treatment, there is a tradeoff between controlling cell populations and delaying the emergence of resistance. Mathematical models and treatment strategies can help balance these competing objectives.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Mathematics, Applied
Blanca Nieto, Manuel Duran-Poveda, Jesus M. Seoane, Miguel A. F. Sanjuan
Summary: In this study, a mathematical model was developed to describe the growth and decay process of melanoma. The results showed that the inner morphology of melanoma plays a crucial role in its decay time, with higher complexity leading to longer decay time. The model was also validated through comparisons with real melanomas.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Automation & Control Systems
Feng Dai, Bin Liu
Summary: The study examines an optimal control problem for a general reaction-diffusion tumor-immune system with chemotherapy to minimize tumor burden and treatment costs. Theoretical analysis reveals the optimal treatment strategy, and numerical simulations demonstrate its potential value in clinical applications.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Biology
Kevin Gross, Andre M. de Roos
Summary: Ecologists have sought to understand how environmental variation affects natural populations by using transfer functions and continuous-time models to analyze resonant characteristics of size-structured populations, particularly in the case of stony corals. The analysis reveals a multi-decade resonance driven by space competition between coral colonies, with resonant oscillations most strongly determined by colony growth rate and potential for resonance greatest when colony growth is weakly density-dependent.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biochemistry & Molecular Biology
Emily Y. Yang, Grant R. Howard, Amy Brock, Thomas E. Yankeelov, Guillermo Lorenzo
Summary: The development of chemoresistance in breast cancer is a significant cause of treatment failure. A mathematical model describing the cytotoxic effects of the chemotherapeutic drug doxorubicin on MCF-7 breast cancer cells has been developed. The model successfully recapitulates tumor cell dynamics under various treatment conditions and suggests that higher drug concentrations, shorter treatment intervals, and a higher number of doses lead to superior tumor control. Longer treatment intervals require adjusting the model parameters after each dose, indicating the promotion of chemoresistance.
FRONTIERS IN MOLECULAR BIOSCIENCES
(2022)
Review
Computer Science, Interdisciplinary Applications
Sina Anvari, Shruti Nambiar, Jun Pang, Nima Maftoon
Summary: The dawn of a new era in precise diagnostic devices and personalized cancer treatment is linked to computational models that integrate biochemical factors and biophysical processes to simulate and predict cancer progression. These models, developed with increased computational power, enhance understanding of metastasis and aid in the creation of tools for predicting cancer progression. This review focuses on physics-based approaches for modeling the metastasis process and identifies research gaps while suggesting future directions for study.
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
(2021)
Review
Biology
M. Kuznetsov, J. Clairambault, V. Volpert
Summary: Despite advancements in oncological research, cancer remains a leading cause of death globally. Optimizing cancer treatment through mathematical modeling, which can address complexity and suggest potentially effective protocols, is an important goal in oncology.
PHYSICS OF LIFE REVIEWS
(2021)
Article
Biochemical Research Methods
Vahideh Vakil, Wade Trappe
Summary: This study proposes a method for determining a dosage strategy to combat drug resistance in tumor progression. The method considers the dynamic and kinetic effects of multiple drugs on the number of cells, potential mutations, and dosage limitations. An optimization problem is used to determine the treatment schedule.
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
(2022)
Article
Mathematics, Applied
Jung-Chao Ban, Jyy- Hong, Yu-Liang Wu
Summary: This article compares the long-term behavior of a spread model before and after a type becomes frozen. It provides the spread rates of a 1-spread model with one frozen symbol and shows that this result holds for more general settings. Numerical experiments support the theory.
Review
Immunology
Syed A. Mian, Fernando Anjos-Afonso, Dominique Bonnet
Summary: Immunotherapy shows promise in cancer treatment, yet challenges remain, including the lack of suitable mouse models. Improved immunodeficient mice offer opportunities for comprehensive evaluation of therapeutic strategies and advancement in human hematopoietic research.
FRONTIERS IN IMMUNOLOGY
(2021)
Article
Oncology
Julie Lang, Alexis D. Leal, Juan A. Marin-Jimenez, Sarah J. Hartman, Jeremy Shulman, Natalie M. Navarro, Matthew S. Lewis, Anna Capasso, Stacey M. Bagby, Bethlehem W. Yacob, Morgan MacBeth, Brian M. Freed, S. Gail Eckhardt, Kimberly Jordan, Patrick J. Blatchford, Roberta Pelanda, Christopher H. Lieu, Wells A. Messersmith, Todd M. Pitts
Summary: The combination of nivolumab, an immune checkpoint inhibitor, and cabozantinib, a small molecule tyrosine kinase inhibitor, showed enhanced efficacy in treating MSS-CRC tumors compared to other combination therapies. The combination treatment resulted in increased cytotoxic T cells and reduced tumor growth. This preclinical study provides a basis for testing this combination therapy in clinical trials for MSS-CRC patients.
FRONTIERS IN ONCOLOGY
(2022)
Article
Oncology
Chengyue Wu, Angela M. Jarrett, Zijian Zhou, Nabil Elshafeey, Beatriz E. Adrada, Rosalind P. Candelaria, Rania M. M. Mohamed, Medine Boge, Lei Huo, Jason B. White, Debu Tripathy, Vicente Valero, Jennifer K. Litton, Clinton Yam, Jong Bum Son, Jingfei Ma, Gaiane M. Rauch, Thomas E. Yankeelov
Summary: This study successfully predicts the response of TNBC to neoadjuvant systemic therapy using MRI data and mathematical modeling, providing highly accurate predictions of therapeutic efficacy.