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The system of partial differential equations describing tumor-immune dynamics with angiogenesis taken into account is presented. For spatially homogeneous case, the steady state analysis of the model is carried out. The effects of single…

细胞行为 · 定量生物学 2015-05-14 O. G. Isaeva , V. A. Osipov

Cancer is a disease that takes millions of lives every year. Then, to propose treatments, avoid recurrence, and improve the patient's life quality, we need to analyze this disease from a biophysical perspective with a solid mathematical…

定量方法 · 定量生物学 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

Hematotoxicity, drug-induced damage to the blood-forming system, is a frequent side effect of cytotoxic chemotherapy and poses a significant challenge in clinical practice due to its high inter-patient variability and limited…

机器学习 · 计算机科学 2025-05-28 Marie Steinacker , Yuri Kheifetz , Markus Scholz

One strategy for winning a coevolutionary struggle is to evolve rapidly. Most of the literature on host-pathogen coevolution focuses on this phenomenon, and looks for consequent evidence of coevolutionary arms races. An alternative…

种群与进化 · 定量生物学 2012-11-14 Erick Chastain , Rustom Antia , Carl T. Bergstrom

Cytotoxic T lymphocytes (T) and natural killer (NK) cells are the main cytotoxic killer cells of the human body to eliminate pathogen-infected or tumorigenic cells (i.e. target cells). Once a NK or T cell has identified a target cell, they…

生物物理 · 物理学 2020-04-22 Ivan Hornak , Heiko Rieger

The recent advances in cancer immunotherapy boosted the development of tumor-immune system models aiming to provide mechanistic understanding and indicate more efficient treatment regimes. However, the complexity of such models, their…

动力系统 · 数学 2023-09-18 Dimitrios G. Patsatzis

Tuberculosis (TB) continues to pose a major public health challenge, particularly in high-burden regions such as Ethiopia, necessitating a more profound understanding of its transmission dynamics. In this study, we developed an SVEITRS…

种群与进化 · 定量生物学 2025-06-26 Moksina Seyid , Abdu Mohammed Seid , Yassin Tesfaw Abebe

Adaptive therapy (AT) is designed to postpone the emergence of drug resistance by exploiting evolutionary competition among tumor subclones. Most mathematical models of AT assume a binary population structure of drug-sensitive and…

种群与进化 · 定量生物学 2026-05-19 Rui Yue , Chenghang Li , Jinzhi Lei

Interactions between SARS-CoV-2 and the immune system during infection are complex. However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance, especially when it comes to assessing treatment options. Mathematical…

定量方法 · 定量生物学 2023-12-11 Lea Schuh , Peter V. Markov , Vladimir M. Veliov , Nikolaos I. Stilianakis

The use of ad-hoc engineered viruses in the fight against tumours is one of the greatest ideas in cancer therapeutics within the last three decades. Together with other strategies such as immunotherapies, nanoparticles and adjunct…

种群与进化 · 定量生物学 2026-03-26 David Morselli , Federico Frascoli , Marcello Edoardo Delitala

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

种群与进化 · 定量生物学 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

In the study of therapeutic strategies for the treatment of cancer, eco-evolutionary dynamics are of particular interest, since characteristics of the tumour population, interaction with the environment and effects of the treatment,…

种群与进化 · 定量生物学 2023-07-19 Giulia Chiari , Giada Fiandaca , Marcello Edoardo Delitala

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

Different ways of calculating mortality ratios during epidemics have yielded very different results, particularly during the current COVID-19 pandemic. We formulate both a survival probability model and an associated infection…

种群与进化 · 定量生物学 2020-10-06 Lucas Böttcher , Mingtao Xia , Tom Chou

One of the biggest challenges in medicine is to dampen the pathophysiological stress induced by an episode of ischemia. Such stress, due to various pathological or clinical situations, follows a restriction in blood and oxygen supply to…

神经元与认知 · 定量生物学 2019-08-12 Michel Tauc , Nicolas Melis , Miled Bourourou , Sébastien Giraud , Thierry Hauet , Nicolas Blondeau

Cytotoxic T lymphocytes eliminate infected or malignant cells, safeguarding surrounding tissues. Although experimental and systems-immunology studies have cataloged many molecular and cellular actors involved in an immune response, the…

生物物理 · 物理学 2026-03-04 Obinna A. Ukogu , Zachary Montague , Grégoire Altan-Bonnet , Armita Nourmohammad

We develop a physiologically-based lattice model for the transport and metabolism of drugs in the functional unit of the liver, called the lobule. In contrast to earlier studies, we have emphasized the dominant role of convection in…

生物物理 · 物理学 2011-11-07 Vahid Rezania , Rebeccah E. Marsh , Dennis Coombe , Jack A. Tuszynski

Immunotherapies have been proven to have significant therapeutic efficacy in the treatment of cancer. The last decade has seen adoptive cell therapies, such as chimeric antigen receptor T-cell (CART-cell) therapy, gain FDA approval against…

分子网络 · 定量生物学 2023-02-10 Viren Shah , Justin Womack , Anthony E. Zamora , Scott S. Terhune , Ranjan K. Dash

Computational simulations have the potential to assist in liver resection surgeries by facilitating surgical planning, optimizing resection strategies, and predicting postoperative outcomes. The modeling of liver tissue across multiple…

计算工程、金融与科学 · 计算机科学 2023-06-14 Adnan Ebrahem , Etienne Jessen , Marco F. P. ten Eikelder , Tarun Gangwar , Michał Mika , Dominik Schillinger

We propose a simple dynamic model of cancer development that captures carcinogenesis and subsequent cancer progression. A central idea of the model is to include the immune system as an extinction threshold, similar to the strong Allee…

定量方法 · 定量生物学 2025-06-09 Frank Bastian , Hassan Alkhayuon , Kieran Mulchrone , Micheal O'Riordain , Sebastian Wieczorek
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