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The study of system complexity primarily has two objectives: to explore underlying patterns and to develop theoretical explanations. Pattern exploration seeks to clarify the mechanisms behind the emergence of system complexity, while…

Multiagent Systems · Computer Science 2026-02-18 Xiao Xue , Deyu Zhou , Ming Zhang , Xiangning Yu , Fei-Yue Wang

Tumor growth is a complex process characterized by uncontrolled cell proliferation and invasion of neighboring tissues. The understanding of these phenomena is of vital importance to establish appropriate diagnosis and therapeutic strategy…

Tissues and Organs · Quantitative Biology 2019-10-23 Miguel Martín-Landrove , Francisco Torres-Hoyos , Antonio Rueda-Toicen

Central nervous system (CNS) tumors come with the vastly heterogeneous histologic, molecular and radiographic landscape, rendering their precise characterization challenging. The rapidly growing fields of biophysical modeling and radiomics…

Quantitative Methods · Quantitative Biology 2020-06-30 Andreas Mang , Spyridon Bakas , Shashank Subramanian , Christos Davatzikos , George Biros

In advancing discrete-based computational cancer models towards clinical applications, one faces the dilemma of how to deal with an ever growing amount of biomedical data that ought to be incorporated eventually in one form or another.…

Cell Behavior · Quantitative Biology 2008-06-26 Le Zhang , L. Leon Chen , Thomas S. Deisboeck

We consider a graphical model where a multivariate normal vector is associated with each node of the underlying graph and estimate the graphical structure. We minimize a loss function obtained by regressing the vector at each node on those…

Machine Learning · Statistics 2017-09-19 Xingqi Du , Subhashis Ghosal

In this paper, a two-dimensional model for the growth of multi-layer tumors is presented. The model consists of a free boundary problem for the tumor cell membrane and the tumor is supposed to grow or shrink due to cell proliferation or…

Analysis of PDEs · Mathematics 2013-06-11 Martin Kohlmann

Computer simulations offer a robust toolset for exploring complex systems across various disciplines. A particularly impactful approach within this realm is Agent-Based Modeling (ABM), which harnesses the interactions of individual agents…

Artificial Intelligence · Computer Science 2023-12-19 Zengqing Wu , Run Peng , Xu Han , Shuyuan Zheng , Yixin Zhang , Chuan Xiao

Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the invasive growth of malignant tumors is characterized by the…

Biological Physics · Physics 2023-07-19 Yang Jiao , Salvatore Torquato

Diffuse gliomas are malignant brain tumors that grow widespread through the brain. The complex interactions between neoplastic cells and normal tissue, as well as the treatment-induced changes often encountered, make glioma tumor growth…

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…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

This paper investigates cells proliferation dynamics in small tumor cell aggregates using an individual based model (IBM). The simulation model is designed to study the morphology of the cell population and of the cell lineages as well as…

The task of data integration for multi-omics data has emerged as a powerful strategy to unravel the complex biological underpinnings of cancer. Recent advancements in graph neural networks (GNNs) offer an effective framework to model…

Machine Learning · Computer Science 2025-06-24 Payam Zohari , Mostafa Haghir Chehreghani

A nutrient-limited model for avascular cancer growth including cell proliferation, motility and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are…

Statistical Mechanics · Physics 2011-03-09 S. C. Ferreira Junior , M. L. Martins , M. J. Vilela

Tumour cells have to acquire a number of capabilities if a neoplasm is to become a cancer. One of these key capabilities is increased motility which is needed for invasion of other tissues and metastasis. This paper presents a qualitative…

Tissues and Organs · Quantitative Biology 2009-09-29 David Basanta , Haralambos Hatzikirou , Andreas Deutsch

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

Multiscale models provide a unique tool for studying complex processes that study events occurring at different scales across space and time. In the context of biological systems, such models can simulate mechanisms happening at the…

Quantitative Methods · Quantitative Biology 2024-06-27 Marco Ruscone , Andrea Checcoli , Randy Heiland , Emmanuel Barillot , Paul Macklin , Laurence Calzone , Vincent Noël

Agent-based modeling (ABM) has emerged as a powerful tool in social policy-making and socio-economics, offering a flexible and dynamic approach to understanding and simulating complex systems. While traditional analytic methods may be less…

Multiagent Systems · Computer Science 2025-04-03 Shayan Firouzian Haji

The intratumor heterogeneity has been recognized to characterize cancer cells impairing the efficacy of cancer treatments. We here propose an extension of constraint-based modeling approach in order to simulate metabolism of cell…

Quantitative Methods · Quantitative Biology 2016-07-18 M. Di Filippo , C. Damiani , R. Colombo , D. Pescini , G. Mauri

With the remarkable success of representation learning for prediction problems, we have witnessed a rapid expansion of the use of machine learning and deep learning for the analysis of digital pathology and biopsy image patches. However,…

Machine Learning · Computer Science 2024-03-06 David Ahmedt-Aristizabal , Mohammad Ali Armin , Simon Denman , Clinton Fookes , Lars Petersson

In anti-cancer drug development, a major scientific challenge is disentangling the complex relationships between high-dimensional genomics data from patient tumor samples, the corresponding tumor's organ of origin, the drug targets…

Machine Learning · Computer Science 2024-03-29 Omid Bazgir , Zichen Wang , Ji Won Park , Marc Hafner , James Lu