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We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the stemness level of a cell, $s$, that determines its proliferative…

Cell Behavior · Quantitative Biology 2023-11-14 Giulia L. Celora , Helen M. Byrne , P. G. Kevrekidis

Designing metal-organic frameworks (MOFs) synthesis protocols is currently largely driven by trial-and-error, since we lack fundamental understanding of the molecular level mechanisms that underlie their self-assembly processes. Previous…

Materials Science · Physics 2025-12-04 Sahar Andarzi Gargari , Emilio Méndez , Rocio Semino

A class of coupled cell-bulk ODE-PDE models is formulated and analyzed in a two-dimensional domain, which is relevant to studying quorum sensing behavior on thin substrates. In this model, spatially segregated dynamically active signaling…

Pattern Formation and Solitons · Physics 2016-05-04 J. Gou , M. J. Ward

A first-principle multiscale modeling approach is presented, which is derived from the solution of the Ornstein-Zernike equation for the coarse-grained representation of polymer liquids. The approach is analytical, and for this reason is…

Soft Condensed Matter · Physics 2009-09-09 J. McCarty , I. Y. Lyubimov , M. G. Guenza

Optical molecular tomographic imaging is to reconstruct the concentration distribution of photon-molecular probes in a small animal from measured photon fluence rates. The localization and quantification of molecular probes is related to…

Biological Physics · Physics 2017-07-18 Wenxiang Cong , Xavier Intes , Ge Wang

Oxygenic photosynthesis is the most important biochemical process in Earth biosphere and likely very common on other habitable terrestrial planets, given the general availability of its input chemical ingredients and of light as source of…

Earth and Planetary Astrophysics · Physics 2021-05-26 Giovanni Covone , Riccardo M. Ienco , Luca Cacciapuoti , Laura Inno

Accurate and efficient approaches to predict the optical properties of organic semiconducting compounds could accelerate the search for efficient organic photovoltaic materials. Nevertheless, predicting the optical properties of organic…

Within this work, the kinetics of the growing stage of porous silicon (PS) during the etching process was studied using the photoacoustic technique. A p-type Si with low resistivity was used as a substrate. An extension of Rosencwaig and…

Materials Science · Physics 2017-01-20 J. D. Castano-Yepes , C. F. Ramirez-Gutierrez , M. E. Rodriguez-García

The structure and evolution of aggregate grains formed within a plasma environment are dependent upon the charge acquired by the micron-sized dust grains during the coagulation process. The manner in which the charge is arranged on…

Astrophysics · Physics 2009-11-13 Lorin S. Matthews , Truell W. Hyde

This paper concerns multiphase models of tumor growth in interaction with a surrounding tissue, taking into account also the interplay with diffusible nutrients feeding the cells. Models specialize in nonlinear systems of possibly…

Mathematical Physics · Physics 2017-01-20 Andrea Tosin

Homoepitaxial step-flow growth of high-quality $\beta$-Ga$_{2}$O$_{3}$ thin films is essential for the advancement of high-performance Ga$_{2}$O$_{3}$-based devices. In this work, the step-flow growth mechanism of $\beta$-Ga$_{2}$O$_{3}$…

Materials Science · Physics 2025-01-17 Qi Li , Junlei Zhao , Na Lin , Xiufeng Cheng , Xian Zhao , Zhaojun Liu , Zhitai Jia , Mengyuan Hua

The Integrable Optics Test Accelerator (IOTA) at Fermilab is a small machine dedicated to a broad frontier accelerator physics program. An important aspect of this program is to investigate the potential benefits of the resonance free tune…

Accelerator Physics · Physics 2022-01-06 David Feigelson , Tanaji Sen , Jean-Francois Ostiguy , Runze Li

A mesoscopic coarse-grain model for computationally-efficient simulations of biomembranes is presented. It combines molecular dynamics simulations for the lipids, modeled as elastic chains of beads, with multiparticle collision dynamics for…

Soft Condensed Matter · Physics 2015-06-04 Mu-Jie Huang , Raymond Kapral , Alexander S. Mikhailov , Hsuan-Yi Chen

Photoplethysmography (PPG) is the leading non-invasive technique for monitoring biosignals and cardiovascular health, with widespread adoption in both clinical settings and consumer wearable devices. While machine learning models trained on…

Machine Learning · Computer Science 2025-02-06 Arvind Pillai , Dimitris Spathis , Fahim Kawsar , Mohammad Malekzadeh

The extracellular matrix of biofilms presents a dense and intricate architecture. Numerous biophysical properties of the matrix surrounding microbial cells contribute to the heterogeneity of biofilms and their functions at the microscale.…

Biomolecules · Quantitative Biology 2025-10-24 Raghu K. Moorthy , Eoin Casey

Morphogenesis is a tightly regulated process that has been studied for decades. We are developing data-based and image-basd mechanistic models for a range of developmental processes with a view to integrate the available knowledge and to…

Quantitative Methods · Quantitative Biology 2013-09-10 Denis Menshykau , Srivathsan Adivarahan , Philipp Germann , Lisa Lermuzeaux , Dagmar Iber

This series of papers investigates the early stages of planet formation by modeling the evolution of the gas and solid content of protostellar disks from the early T Tauri phase until complete dispersal of the gas. In this first paper, I…

Astrophysics · Physics 2009-11-13 P. Garaud

Aerotaxis is the particular form of chemotaxis in which oxygen plays the role of both the attractant and the repellent. Aerotaxis occurs without methylation adaptation, and it leads to fast and complete aggregation toward the most favorable…

Classical Analysis and ODEs · Mathematics 2015-06-26 Barbara "Bori" C. Mazzag

Angiogenesis is the process wherein endothelial cells (ECs) form sprouts that elongate from the pre-existing vasculature to create new vascular networks. In addition to its essential role in normal development, angiogenesis plays a vital…

Tissues and Organs · Quantitative Biology 2024-01-17 Daria Stepanova , Helen M. Byrne , Philip K. Maini , Tomás Alarcón

On the base of analysis of experimental observations and critical assessment of existing models for oxide fuel structure evolution under operation conditions of fast reactors, new models for fuel restructuring and coring are proposed. The…

Materials Science · Physics 2015-05-27 Mikhail S. Veshchunov
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