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We discuss the mathematical modelling of two of the main mechanisms which pushed forward the emergence of multicellularity: phenotype divergence in cell differentiation, and between-cell cooperation. In line with the atavistic theory of…

Analysis of PDEs · Mathematics 2024-03-06 Frank Alvarez , Jean Clairambault

Diagnosing and treating skin diseases require advanced visual skills across domains and the ability to synthesize information from multiple imaging modalities. While current deep learning models excel at specific tasks like skin cancer…

In this paper, we study a phase-space analysis of a mathematical model of tumor growth with an immune response. Mathematical analysis of the model equations with multipoint initial condition, regarding to dissipativity, boundedness of…

Tissues and Organs · Quantitative Biology 2018-01-17 Veli Shakhmurov

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

Populations and Evolution · Quantitative Biology 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

Accurate and interpretable prediction of estimated glomerular filtration rate (eGFR) is essential for managing chronic kidney disease (CKD) and supporting clinical decisions. Recent advances in Large Multimodal Models (LMMs) have shown…

Machine Learning · Computer Science 2025-07-31 Peng-Yi Wu , Pei-Cing Huang , Ting-Yu Chen , Chantung Ku , Ming-Yen Lin , Yihuang Kang

Liver transplant can be a life-saving procedure for patients with end-stage liver disease. With the introduction of modern immunosuppressive therapies, short-term survival has significantly improved. However, long-term survival has not…

Quantitative Methods · Quantitative Biology 2024-11-28 Julia Bruner , Kyle Adams , Skylar Grey , Mahya Aghaee , Sergio Duarte , Ali Zarrinpar , Helen Moore

Label-free characterization of biological specimens seeks to supplement existing imaging techniques and avoid the need for contrast agents that can disturb the native state of living samples. Conventional label-free optical imaging…

In this review paper, some applications of the mixed effect modeling in medial image processing and longitudinal analysis is studied. For this purpose, a general structure is extracted from some of the researches in the literature. This…

Medical Physics · Physics 2018-03-13 Fatemeh Nasiri , Oscar Acosta-Tamayo

Kinetic model of three component, weakly ionized, collisional plasma with a beam of neutral particles is developed. New dispersion relations for linear perturbations are derived and analyzed in various limiting cases.

Plasma Physics · Physics 2009-10-31 David Tsiklauri

Modeling and simulation approaches for infectious disease dynamics have proven to be essential tools for effective control of the spread of epidemics in the population. Among these approaches, it is obvious that compartmental mathematical…

Populations and Evolution · Quantitative Biology 2024-11-08 Selain K. Kasereka

Kidney transplantation is the preferred treatment for people suffering from end-stage renal disease. Successful kidney transplants still fail over time, known as graft failure; however, the time to graft failure, or graft survival time, can…

Machine Learning · Computer Science 2022-11-07 Zhipeng Huang , Kevin S. Xu

Computational modeling of cancer can help unveil dynamics and interactions that are hard to replicate experimentally. Thanks to the advancement in cancer databases and data analysis technologies, these models have become more robust than…

Quantitative Methods · Quantitative Biology 2023-11-07 Navid Mohammad Mirzaei , Leili Shahriyari

In this paper, a class of reaction-diffusion equations for Multiple Sclerosis is presented. These models are derived by means of a diffusive limit starting from a proper kinetic description, taking account of the underlying microscopic…

Quantitative Methods · Quantitative Biology 2026-01-07 Marzia Bisi , Maria Groppi , Giorgio Martalò , Romina Travaglini

This study uses two-dimensional molecular dynamics simulations to explore Rayleigh-Taylor-like instability in a strongly coupled binary complex plasma, when heavier dust particles are positioned above the lighter ones, having the same…

Plasma Physics · Physics 2026-01-14 Priya Deshwal , Hitendra K. Malik

We extend the live-cell motility Filament Based Lamellipodium Model to incorporate the forces exerted on the lamellipodium of the cells due to cell-cell collision and cadherin induced cell-cell adhesion. We take into account the nature of…

Cell Behavior · Quantitative Biology 2018-09-24 Nikolaos Sfakianakis , Diane Peurichard , Aaron Brunk , Christian Schmeiser

Cancer cell invasion is recognised as one of the hallmarks of cancer and involves several inner-related multiscale processes that ultimately contribute to its spread into the surrounding tissue. In order to gain a deeper understanding of…

Tissues and Organs · Quantitative Biology 2018-10-11 Robyn Shuttleworth , Dumitru Trucu

Self-renewal is a constitutive property of stem cells. Testing the cancer stem cell hypothesis requires investigation of the impact of self-renewal on cancer expansion. To understand better this impact, we propose a mathematical model…

Classical Analysis and ODEs · Mathematics 2016-01-12 Jan-Erik Busse , Piotr Gwiazda , Anna Marciniak-Czochra

Clinical management of cancer has continuously evolved for several decades. Biochemical, molecular and genomics approaches have brought and still bring numerous insights into cancerous diseases. It is now accepted that some phenomena,…

Multiple Instance Learning (MIL) has been widely applied in pathology towards solving critical problems such as automating cancer diagnosis and grading, predicting patient prognosis, and therapy response. Deploying these models in a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Syed Ashar Javed , Dinkar Juyal , Harshith Padigela , Amaro Taylor-Weiner , Limin Yu , Aaditya Prakash

As an adoptive cellular therapy, Chimeric Antigen Receptor T-cell (CAR T-cell) therapy has shown remarkable success in hematological malignancies, but only limited efficacy against solid tumors. Compared with blood cancers, solid tumors…

Tissues and Organs · Quantitative Biology 2024-10-25 Erdi Kara , T. L. Jackson , Chartese Jones , Reginald L. McGee , Rockford Sison
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