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This paper presents a mathematical framework for optimizing drug delivery in cancer treatment using a nonlocal model of solid tumor growth. We present a coupled system of partial differential equations that incorporate long-range cellular…

Optimization and Control · Mathematics 2025-03-13 Bouhamidi Abderrahman , El Harraki Imad , Melouani Yassine

The $NK$ model, introduced by Kauffman, Levin, and Weinberger, is a random field used to describe the fitness landscape of certain species with $N$ genetic loci, each interacting with $K$ others. The model has wide applications in…

Probability · Mathematics 2025-08-19 Wei-Kuo Chen , Si Tang

Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

Probability · Mathematics 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

Practically, all chemotherapeutic agents lead to drug resistance. Clinically, it is a challenge to determine whether resistance arises prior to, or as a result of, cancer therapy. Further, a number of different intracellular and…

Populations and Evolution · Quantitative Biology 2014-12-03 Jana L. Gevertz , Zahra Aminzare , Kerri-Ann Norton , Judith Perez-Velazquez , Alexandria Volkening , Katarzyna A. Rejniak

A tumor can be thought of as an ecosystem, which critically means that we cannot just consider it as a collection of mutated cells but more as a complex system of many interacting cellular and microenvironmental elements. At its simplest, a…

Populations and Evolution · Quantitative Biology 2013-05-03 Jill Gallaher , Alexander R. A. Anderson

We wish to minimize the resources used for network coding while achieving the desired throughput in a multicast scenario. We employ evolutionary approaches, based on a genetic algorithm, that avoid the computational complexity that makes…

Networking and Internet Architecture · Computer Science 2016-11-15 Minkyu Kim , Muriel Medard , Varun Aggarwal , Una-May O'Reilly , Wonsik Kim , Chang Wook Ahn , Michelle Effros

Background: Tumours are diverse ecosystems with persistent heterogeneity in various cancer hallmarks like self-sufficiency of growth factor production for angiogenesis and reprogramming of energy-metabolism for aerobic glycolysis. This…

Populations and Evolution · Quantitative Biology 2016-08-04 Artem Kaznatcheev , Robert Vander Velde , Jacob G. Scott , David Basanta

This paper explores a novel approach aimed at overcoming existing challenges in the realm of local search algorithms. Our aim is to improve the decision process that takes place within a local search algorithm so as to make the best…

Neural and Evolutionary Computing · Computer Science 2025-03-13 Mohamed Salim Amri Sakhri , Adrien Goëffon , Olivier Goudet , Frédéric Saubion , Chaïmaâ Touhami

In this paper we present a novel tool to evaluate problem solving systems. Instead of using a system to solve a problem, we suggest using the problem to evaluate the system. By finding a numerical representation of a problem's complexity,…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Goren Gordon , Uri Einziger-Lowicz

Research into somatic mutations in cancer cell DNA and their role in tumour growth and progression between successive stages is crucial for improving our understanding of cancer evolution. Mathematical and computer modelling can provide…

Populations and Evolution · Quantitative Biology 2024-02-26 Andrzej Polanski , Mateusz Kania , Jarosław Gil , Wojciech Łabaj , Ewa Lach , Agnieszka Szczęsna

Drug gradients are believed to play an important role in the evolution of bacteria resistant to antibiotics and tumors resistant to anti-cancer drugs. We use a statistical physics model to study the evolution of a population of malignant…

Populations and Evolution · Quantitative Biology 2015-06-04 Philip Greulich , Bartlomiej Waclaw , Rosalind J. Allen

Gene selection plays a pivotal role in oncology research for improving outcome prediction accuracy and facilitating cost-effective genomic profiling for cancer patients. This paper introduces two gene selection strategies for deep…

Genomics · Quantitative Biology 2024-03-05 Akhila Krishna , Ravi Kant Gupta , Pranav Jeevan , Amit Sethi

This paper proposes a novel Extended Particle Swarm Optimization model (EPSO) that potentially enhances the search process of PSO for optimization problem. Evidently, gene expression profiles are significantly important measurement factor…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Ali Hakem Alsaeedi , Adil L. Albukhnefis , Dhiah Al-Shammary , Muntasir Al-Asfoor

A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Dominique Barbolosi , Assia Benabdallah , Florence Hubert , Philip Hahnfeldt

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

Populations and Evolution · Quantitative Biology 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

DNA microarray gene-expression data has been widely used to identify cancerous gene signatures. Microarray can increase the accuracy of cancer diagnosis and prognosis. However, analyzing the large amount of gene expression data from…

Neural and Evolutionary Computing · Computer Science 2024-11-21 Maryam Eshraghi Evari , Md Nasir Sulaiman , Amir Rajabi Behjat

Fitness landscapes are genotype to fitness mappings commonly used in evolutionary biology and computer science which are closely related to spin glass models. In this paper, we study the NK model for fitness landscapes where the interaction…

Populations and Evolution · Quantitative Biology 2015-06-12 Stefan Nowak , Joachim Krug

In the context of the introduction of intermittent renewable energies, we propose to optimize the main variables of the control rods of a nuclear power plant to improve its capability to load-follow. The design problem is a black-box…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Mathieu Muniglia , Sébastien Verel , Jean-Charles Le Pallec , Jean-Michel Do

Acidosis in tumors arises from reprogrammed metabolism and compromised vasculature, creating a harsh, acidic microenvironment that drives the evolutionary selection of acid-resistant cell phenotypes. A mathematical model is proposed to…

Tissues and Organs · Quantitative Biology 2025-12-30 Prithvi Anickode , Fabio Milner
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