Strategies for efficient numerical implementation of hybrid multi-scale agent-based models to describe biological systems

NA Cilfone, DE Kirschner, JJ Linderman - Cellular and molecular …, 2015 - Springer
… of biological systems. Here, we review two aspects of hybrid multi-scale ABMs: linking
individual scale models and efficiently … We demonstrate implementations of existing numerical

[HTML][HTML] Dynamic optimization of distributed biological systems using robust and efficient numerical techniques

C Vilas, E Balsa-Canto, MSG García, JR Banga… - … systems biology, 2012 - Springer
numerical solution of such dynamic optimization problems for spatially distributed biological
systems. … of systems and the presence of constraints on the optimization problems, impose a …

[HTML][HTML] Benchmarking of numerical integration methods for ODE models of biological systems

P Städter, Y Schälte, L Schmiester, J Hasenauer… - Scientific reports, 2021 - nature.com
… As the COPASI simulator is probably the most widely used ODE solver implementation in
the field of systems biology, we considered this the most reliable solution. Additionally, state …

Robust and efficient numerical methods for the optimal control of spatially distributed biological systems

C Vilas, E Balsa-Canto, JR Banga… - … Conference on Control …, 2012 - ieeexplore.ieee.org
… a number of difficulties, such as the presence of suboptimal solutions, which call for robust
and efficient numerical … The presented methodology can be used for the efficient dynamic …

[HTML][HTML] Efficient characterization of high-dimensional parameter spaces for systems biology

E Zamora-Sillero, M Hafner, A Ibig, J Stelling… - … systems biology, 2011 - Springer
… For example, the chemical reactions and the corresponding kinetic equations governing
any one biological system are only partially known [3, 4]. Also, finding accurate numerical

Biocellion : accelerating computer simulation of multicellular biological system models

S Kang, S Kahan, J McDermott, N Flann… - …, 2014 - academic.oup.com
… for biological system modeling; modelers need to implement partial differential equation (PDE)
solvers from scratch to update molecular concentrations by solving PDEs. iDynoMiCS ( …

An efficient numerical technique for a biological population model of fractional order

N Attia, A Akgül, D Seba, A Nour - Chaos, Solitons & Fractals, 2020 - Elsevier
… between the proposed system and the species population. The second part is dedicated for
presenting the implementation of RKHSM to solve the fractional biological population model …

Mathematical and computational modeling in complex biological systems

Z Ji, K Yan, W Li, H Hu, X Zhu - BioMed research international, 2017 - Wiley Online Library
… the biological process in cancer research. In this review, we firstly studied several typical
mathematical modeling approaches of biological systems … This is the first work to implement the …

[HTML][HTML] Computational analysis of viable parameter regions in models of synthetic biological systems

Ž Pušnik, M Mraz, N Zimic, M Moškon - Journal of biological engineering, 2019 - Springer
system should be preferred [13]. This allows for the development of more efficient and stable
biological systems. In … [30] demonstrated the implementation of sequential logic in cells with …

[PDF][PDF] An efficient numerical scheme for biological models in the frame of Bernoulli wavelets

F Li, HM Baskonus, S Kumbinarasaiah… - … Model Eng Sci, 2023 - cdn.techscience.cn
… This article considers three types of biological systems: the dengue fever disease … number
of death among the susceptible population. Some of the numerical techniques implemented