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We formulate and analyze a mathematical model describing immune response to avascular tumor under the influence of immunotherapy and chemotherapy and their combinations as well as vaccine treatments. The effect of vaccine therapy is…

细胞行为 · 定量生物学 2008-10-15 O. G. Isaeva , V. A. Osipov

Mathematical oncology is a rapidly evolving interdisciplinary field that uses mathematical models to enhance our understanding of cancer dynamics, including tumor growth, metastasis, and treatment response. Tumor-immune interactions play a…

定量方法 · 定量生物学 2025-11-05 Chenghang Li , Jinzhi Lei

Cancer is one of the most common diseases worldwide, posing a serious threat to human health and leading to the deaths of a large number of people. It was observed during the drug administration in chemotherapy that immune cells, cancer…

定量方法 · 定量生物学 2020-08-20 SeyedMehdi Abtahi , Mojtaba Sharifi

The question of selecting the "best" amongst different choices is a common problem in statistics. In drug development, our motivating setting, the question becomes, for example: what is the dose that gives me a pre-specified risk of…

统计理论 · 数学 2018-03-15 Pavel Mozgunov , Thomas Jaki

We explore efficient estimation of statistical quantities, particularly rare event probabilities, for stochastic reaction networks. Consequently, we propose an importance sampling (IS) approach to improve the Monte Carlo (MC) estimator…

数值分析 · 数学 2024-03-12 Chiheb Ben Hammouda , Nadhir Ben Rached , Raúl Tempone , Sophia Wiechert

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

动力系统 · 数学 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

Since the recent introduction of several viable vaccines for SARS-CoV-2, vaccination uptake has become the key factor that will determine our success in containing the COVID-19 pandemic. We argue that game theory and social network models…

Simultaneously optimizing multiple, frequently conflicting, molecular properties is a key bottleneck in the development of novel therapeutics. Although a promising approach, the efficacy of multi-task learning is often compromised by…

机器学习 · 计算机科学 2025-10-01 Mason Minot , Gisbert Schneider

Phase I dose-escalation trials must be guided by a safety model in order to avoid exposing patients to unacceptably high risk of toxicities. Traditionally, these trials are based on one type of schedule. In more recent practice, however,…

统计方法学 · 统计学 2020-08-18 Burak Kürsad Günhan , Sebastian Weber , Tim Friede

Molecular Dynamics simulations can help scientists to gather valuable insights for physical processes on an atomic scale. This work explores various techniques for SIMD vectorization to improve the pairwise force calculation between…

分布式、并行与集群计算 · 计算机科学 2025-12-04 Luis Gall , Samuel James Newcome , Fabio Alexander Gratl , Markus Mühlhäußer , Manish Kumar Mishra , Hans-Joachim Bungartz

We formalize and study the problem of optimal allocation strategies for a (perfect) vaccine in the infinite-dimensional SIS model. The question may be viewed as a bi-objective minimization problem, where one tries to minimize simultaneously…

概率论 · 数学 2021-08-27 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Epidemic spreading on complex networks depends on the topological structure as well as on the dynamical properties of the infection itself. Generally speaking, highly connected individuals play the role of hubs and are crucial to channel…

种群与进化 · 定量生物学 2017-04-05 Eleonora Alfinito , Matteo Beccaria , Alberto Fachechi , Guido Macorini

This work focuses on optimal controls of a class of stochastic SIS epidemic models under regime switching. By assuming that a decision maker can either influence the infectivity period or isolate infected individuals, our aim is to minimize…

最优化与控制 · 数学 2021-01-12 Ky Tran , George Yin

The test-negative design (TND) is a resource-efficient observational study design that can assess vaccine effectiveness and exposure-proximal immune correlates of disease. The TND enrolls symptomatic individuals seeking diagnostic testing…

统计方法学 · 统计学 2026-05-22 Leah I. B. Andrews , Lars van der Laan , Peter B. Gilbert

An important task in early phase drug development is to identify patients, which respond better or worse to an experimental treatment. While a variety of different subgroup identification methods have been developed for the situation of…

统计方法学 · 统计学 2020-01-22 Marius Thomas , Björn Bornkamp , Heidi Seibold

Domain generalization aims to learn invariance across multiple training domains, thereby enhancing generalization against out-of-distribution data. While gradient or representation matching algorithms have achieved remarkable success, these…

机器学习 · 计算机科学 2024-06-17 Yuxin Dong , Tieliang Gong , Hong Chen , Shuangyong Song , Weizhan Zhang , Chen Li

Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

社会与信息网络 · 计算机科学 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

Purpose: Various dose calculation algorithms are available for radiation therapy for cancer patients. However, these algorithms are faced with the tradeoff between efficiency and accuracy. The fast algorithms are generally less accurate,…

医学物理 · 物理学 2020-07-01 Yixun Xing , Dan Nguyen , Weiguo Lu , Ming Yang , Steve Jiang

We study the performance of shape-constrained methods for evaluating immune response profiles from early-phase vaccine trials. The motivating problem for this work involves quantifying and comparing the IgG binding immune responses to the…

统计方法学 · 统计学 2022-11-01 Nilanjana Laha , Zoe Moodie , Ying Huang , Alex Luedtke

The manufacture of an information product (IP) is akin to the manufacture of a physical product. Current approaches to model such information manufacturing systems (IMS), lack the ability to systematically represent the dynamic changes…

软件工程 · 计算机科学 2017-04-21 Thanh Thoa Pham Thi , Markus Helfert