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Understanding how deep learning models predict oncology patient risk can provide critical insights into disease progression, support clinical decision-making, and pave the way for trustworthy and data-driven precision medicine. Building on…

Computer Vision and Pattern Recognition · Computer Science 2024-11-13 Marvin Sextro , Gabriel Dernbach , Kai Standvoss , Simon Schallenberg , Frederick Klauschen , Klaus-Robert Müller , Maximilian Alber , Lukas Ruff

General-purpose Large Vision-Language Models (LVLMs), despite their massive scale, often falter in dermatology due to "diffuse attention" - the inability to disentangle subtle pathological lesions from background noise. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Lijun Liu , Linwei Chen , Zhishou Zhang , Meng Tian , Hengfu Cui , Ruiyang Li , Zhaocheng Liu , Qiang Ju , Qianxi Li , Hong-Yu Zhou

In this paper, we present a novel numerical framework for solving a specific biological reaction-diffusion-advection system of cancer growth in three dimensions (3D) using particles of variable mass. We adopt empirical particle measures to…

Numerical Analysis · Mathematics 2026-05-20 Jingyuan Hu , Zhongjian Wang , Jack Xin , Zhiwen Zhang

We take up the challenge of designing realistic computational models of large interacting cell populations. The goal is essentially to bring Gillespie's celebrated stochastic methodology to the level of an interacting population of cells.…

Computational Engineering, Finance, and Science · Computer Science 2018-10-26 Stefan Engblom

The extra-cellular microenvironment has a fundamental role in tumor growth and progression, strongly affecting the migration strategies adopted by single cancer cells during metastatic invasion. In this study, we use a novel microfluidic…

Kinetic Monte-Carlo (KMC) simulations are a well-established numerical tool to investigate the time-dependent surface morphology in molecular beam epitaxy (MBE) experiments. In parallel, simplified approaches such as limited mobility (LM)…

Computational Physics · Physics 2019-09-18 Thomas Martynec , Sabine H. L. Klapp

Cell-based models provide a helpful approach for simulating complex systems that exhibit adaptive, resilient qualities, such as cancer. Their focus on individual cell interactions makes them a particularly appropriate strategy to study the…

Quantitative Methods · Quantitative Biology 2022-11-30 Juan Uriel Legaria-Peña , Félix Sánchez-Morales , Yuriria Cortés-Poza

Accurate survival prediction in Non-Small Cell Lung Cancer (NSCLC) requires integrating clinical, radiological, and histopathological data. Multimodal Deep Learning (MDL) can improve precision prognosis, but small cohorts and missing…

In the growth of bacterial colonies, a great variety of complex patterns are observed in experiments, depending on external conditions and the bacterial species. Typically, existing models employ systems of reaction-diffusion equations or…

Biological Physics · Physics 2019-11-12 Lautaro Vassallo , David Hansmann , Lidia A. Braunstein

Contractile forces exerted on the surrounding extracellular matrix (ECM) lead to the alignment and stretching of constituent fibers within the vicinity of cells. As a consequence, the matrix reorganizes to form thick bundles of aligned…

Cell Behavior · Quantitative Biology 2014-09-23 Abhilash Nair , Brendon M. Baker , Britta Trappmann , Christopher S. Chen , Vivek B. Shenoy

Cancer is a very complex phenomenon that involves many different scales and situations. In this paper we consider a free boundary problem describing the evolution of a tumor colony and we derive a new asymptotic model for tumor growth. We…

Analysis of PDEs · Mathematics 2025-04-15 Rafael Granero-Belinchón , Martina Magliocca

There is increasing interest in the analysis of biological tissue, its organization and its dynamics with the help of mathematical models. In the ideal case emergent properties on the tissue scale can be derived from the cellular scale.…

Tissues and Organs · Quantitative Biology 2009-11-13 Tilo Beyer , Michael Meyer-Hermann

In this work, we present a phase-field model for tumour growth, where a diffuse interface separates a tumour from the surrounding host tissue. In our model, we consider transport processes by an internal, non-solenoidal velocity field. We…

Numerical Analysis · Mathematics 2024-06-21 Harald Garcke , Dennis Trautwein

In this manuscript, we study a nonlinear model of tumor growth, described by a coupled hyperbolic-elliptic system of partial differential equations. In this model, the compressible flow of tumor cells is modeled by a transport equation for…

Analysis of PDEs · Mathematics 2025-08-27 Jeffrey Kuan , Konstantina Trivisa

We study the spatial evolutionary dynamics of solid tumors as they obtain additional driver mutations. We start with a cancer clone that expands uniformly in three dimensions giving rise to a spherical shape. We assume that cell division…

Populations and Evolution · Quantitative Biology 2013-08-08 Tibor Antal , P. L. Krapivsky , M. A. Nowak

In this paper, we propose a tumor growth model to incorporate and investigate the spatial effects of autophagy. The cells are classified into two phases: normal cells and autophagic cells, whose dynamics are also coupled with the nutrients.…

Analysis of PDEs · Mathematics 2021-08-31 Xu'an Dou , Jian-Guo Liu , Zhennan Zhou

It has been reported that the number of transcription factors encoded in prokaryotic genomes scales approximately quadratically with their total number of genes. We propose a conceptual explanation of this finding and illustrate it using a…

Molecular Networks · Quantitative Biology 2010-09-24 Sergei Maslov , Sandeep Krishna , Tin Yau Pang , Kim Sneppen

Colorectal cancer (CRC) is highly heterogeneous, with five-year survival rates dropping from $\sim$90% in localized disease to $\sim$15% with distant metastases. Disease progression is shaped not only by tumor-intrinsic alterations but also…

Collective cell migration is a hallmark of developmental and patho-physiological states, including wound healing and invasive cancer growth. The integrity of the expanding epithelial sheets can be influenced by extracellular cues, including…

Accurate prediction of treatment outcomes in lung cancer remains challenging due to the sparsity, heterogeneity, and contextual overload of real-world electronic health data. Traditional models often fail to capture semantic information…