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Heterogeneity is a hallmark of all cancers. Tumor heterogeneity is found at different levels -- interpatient, intrapatient, and intratumor heterogeneity. All of them pose challenges for clinical treatments. The latter two scenarios can also…

Soft Condensed Matter · Physics 2020-04-03 Xin Li , D. Thirumalai

Cancer is most commonly viewed as resulting from somatic mutations enhancing proliferation and invasion. Some hypotheses further propose that these new capacities reveal a breakdown of multicellularity allowing cancer cells to escape…

Populations and Evolution · Quantitative Biology 2024-11-27 Bertrand Daignan-Fornier , Thomas Pradeu

Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies…

Biological Physics · Physics 2021-04-21 Youness Azimzade , Abbas Ali Saberi , Robert A. Gatenby

The dysregulation of transcripts is characterized as one of the main mechanisms in tumor pathogenesis. The recent discovery developed a new hypothesis, competitive endogenous RNAs (ceRNAs), which could regulate other RNA transcripts via…

Molecular Networks · Quantitative Biology 2023-02-22 Mengjie Chen

Cancer is one of the most feared diseases in the world it has increased disturbingly and breast cancer occurs in one out of eight women, the prediction of malignancies plays essential roles not only in revealing human genome, but also in…

Computational Engineering, Finance, and Science · Computer Science 2013-03-05 Ayad Ghany Ismaeel , Anar Auda Ablahad

Deep neural networks are starting to show their worth in critical applications such as assisted cancer diagnosis. However, for their outputs to get accepted in practice, the results they provide should be explainable in a way easily…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Martin Krebs , Jan Obdržálek , Vít Musil , Tomáš Brázdil

Cancer remains one of the most challenging diseases to treat in the medical field. Machine learning has enabled in-depth analysis of rich multi-omics profiles and medical imaging for cancer diagnosis and prognosis. Despite these…

Machine Learning · Computer Science 2024-01-15 Lingchao Mao , Hairong Wang , Leland S. Hu , Nhan L Tran , Peter D Canoll , Kristin R Swanson , Jing Li

Tumor growth is constrained by spatial, mechanical, and metabolic factors whose alignment progressively breaks down across cellular, mesoscopic, and tissue scales as tumors expand. We hypothesize that this misalignment drives tumors toward…

Other Quantitative Biology · Quantitative Biology 2026-01-28 Arturo Tozzi

Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient's supply and the metastatic process. In this paper, we introduce a model for the density of…

Analysis of PDEs · Mathematics 2010-09-16 Sebastien Benzekry

Although optimal control theory has been used for the theoretical study of anti-cancerous drugs scheduling optimization, with the aim of reducing the primary tumor volume, the effect on metastases is often ignored. Here, we use a previously…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Philip Hahnfeldt

This paper proposes a novel chaotic reaction-diffusion model of cellular tumor growth and metastasis. The model is based on the multiscale diffusion cancer-invasion model (MDCM) and formulated by introducing strong nonlinear coupling into…

Cell Behavior · Quantitative Biology 2008-07-29 Tijana T. Ivancevic , Murk J. Bottema , Lakhmi C. Jain

Some clinical and pre-clinical data suggests that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase survival time. A recent mathematical model with sensitive and resistant tumor cells…

Dynamical Systems · Mathematics 2022-12-01 Frank Alvarez , Yannick Viossat

This study aimed to elucidate the oncogenic role of NSUN6 and its downstream molecular network in breast cancer cells,with a focus on proliferation and migration for the key drivers of tumor progression.

Other Quantitative Biology · Quantitative Biology 2025-12-09 Zhengyu Song

Metastasis is a leading cause of cancer-related mortality and remains challenging to detect during early stages. Accurate identification of cancers likely to metastasize can improve treatment strategies and patient outcomes. This study…

Genomics · Quantitative Biology 2024-12-03 Benjamin Osafo Agyare , Alec Chu , Blessing Oloyede

The majority of cancer treatments end in failure due to Intra-Tumor Heterogeneity (ITH). ITH in cancer is represented by clonal evolution where different sub-clones compete with each other for resources under conditions of Darwinian natural…

All human diseases involve proteins, yet our current tools to characterize and quantify them are limited. To better elucidate proteins across space, time, and molecular composition, we provide provocative projections for technologies to…

Adaptive therapy is a dynamic cancer treatment protocol that updates (or "adapts") treatment decisions in anticipation of evolving tumor dynamics. This broad term encompasses many possible dynamic treatment protocols of patient-specific…

Cancer is a term that denotes a group of diseases caused by abnormal growth of cells that can spread in different parts of the body. According to the World Health Organization (WHO), cancer is the second major cause of death after…

Machine Learning · Computer Science 2023-01-31 Fadi Alharbi , Aleksandar Vakanski

Cancer complexome comprises a heterogeneous and multifactorial milieu that varies in cytology, physiology, signaling mechanisms and response to therapy. The combined framework of network theory and spectral graph theory along with the…

Molecular Networks · Quantitative Biology 2017-03-03 Aparna Rai , Priodyuti Pradhan , Jyothi Nagraj , K. Lohitesh , Rajdeep Chowdhury , Sarika Jalan

In this review we summarize our recent efforts in trying to understand the role of heterogeneity in cancer progression by using neural networks to characterise different aspects of the mapping from a cancer cells genotype and environment to…

Tissues and Organs · Quantitative Biology 2014-04-29 Philip Gerlee , Eunjung Kim , Alexander R. A. Anderson