This chapter summarizes recent progress in connecting individual-based models and PDE models for chemotaxis of bacterial populations, which is a classic example for multiscale modeling in biology. The application scope and limitations of the Keller-Segel chemotaxis equation are also discussed....
This book reviews the state-of-the-art in multiscale computer modeling, in terms of both accomplishments and challenges. The information in the book is particularly useful for biomedical engineers, medical physicists and researchers in systems biology, mathematical biology, micro-biomechanics and biomate...
This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology.This text aims to develop improved mathematical and computational...
The comparison revealed that the multiscale model does not outperform the unstructured model in terms of fitting the objective function. However, it was observed that the W3110 strain exhibits very similar results in both models. Thus, due to the similarity in the fitting of the objective functio...
Bridging computer science and bioengineering for the multiscale modeling of biological systemsComputer science and biology have come together significantly in recent years. This trend dates back to the 1960s, with the publication of the first protein sequences, the subsequent application of information ...
we leverage expertise in applied mathematics, computer science, computational biology, biophysics, biomechanics, engineering mechanics, experimentation, and medicine. Our multidisciplinary perspective suggests that integrating machine learning and multiscale modeling can provide new insights into disease mechanisms...
modelingmultiresolution analysis (MRAmultiscale analysisnetwork theorynonlinear dynamicsThis is the introductory chapter of Multiscale Analysis and Nonlinear Dynamics: From Genes to the Brain, which concentrates on the investigation of multiscale problems in Systems Biology and Systems Neuroscience, and on ...
Multiscale modeling bridges these scales, providing insights into how microstructural changes influence arterial behavior under various conditions, including hypertension, atherosclerosis, and aneurysms. This paper emphasizes the utility of these models in simulating arterial conditions, predicting disease ...
Schnell S, Grima R, Maini PK: Multiscale modeling in biology - New insights into cancer illustrate how mathematical tools are enhancing the understanding of life from the smallest scale to the grandest. American Scientist. 2007, 95 (2): 134-142. 10.1511/2007.64.134. Article Google Scholar ...
Multiscale Modeling and Active Materials Steel and bone: mesoscale modeling and middle-out strategies in physics and biology Robert W. Batterman, Sara Green Pages 1159-1184 Multiscale Modeling and Active Materials Classifying and characterizing active materials Julia R. S. Bursten Pages 2007-2026...