Learning differential equation models from stochastic agent-based model simulations

JT Nardini, RE Baker… - Journal of the Royal …, 2021 - royalsocietypublishing.org
Agent-based models provide a flexible framework that is frequently used for modelling many
biological systems, including cell migration, molecular dynamics, ecology and epidemiology …

Porosity and diffusion in biological tissues. Recent advances and further perspectives

R Penta, L Miller, A Grillo, A Ramírez-Torres… - Constitutive modelling of …, 2020 - Springer
We present a review of porosity and diffusion in biological tissues from different
perspectives. We first introduce the topic by illustrating experimental evidence related to …

[HTML][HTML] Cell-based modeling of tissue developing in the scaffold pores of varying cross-sections

I Krasnyakov, D Bratsun - Biomimetics, 2023 - mdpi.com
In this work, we present a mathematical model of cell growth in the pores of a perfusion
bioreactor through which a nutrient solution is pumped. We have developed a 2-D vertex …

Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity

D Bratsun, I Krasnyakov - Mathematical Modelling of Natural …, 2022 - mmnp-journal.org
Several years ago, a new paradigm of cancer perception emerged, considering a tumor not
as a senseless heap of cells but as a self-organizing heterogeneous tissue of cancer cells …

Biomechanical modeling of invasive breast carcinoma under a dynamic change in cell phenotype: collective migration of large groups of cells

DA Bratsun, IV Krasnyakov, LM Pismen - Biomechanics and Modeling in …, 2020 - Springer
According to recent studies, cancer is an evolving complex ecosystem. It means that tumor
cells are well differentiated and involved in heterotypic interactions with their …

Static–dynamic coordinated transformer for tumor longitudinal growth prediction

H Wang, N Xiao, J Zhang, W Yang, Y Ma, Y Suo… - Computers in Biology …, 2022 - Elsevier
Accurate prediction of the tumor's future imaging features can provide its complete growth
evolution and more detailed clinical parameters. The existing longitudinal models tend to …

Influence of non-local diffusion in avascular tumour growth

A Ramírez-Torres, S Di Stefano… - … and Mechanics of …, 2021 - journals.sagepub.com
The availability and evolution of chemical agents play an important role in the growth of a
tumour and, therefore, the mathematical description of their consumption is of special …

A sight on single-cell transcriptomics in plants through the prism of cell-based computational modeling approaches: benefits and challenges for data analysis

A Bobrovskikh, A Doroshkov, S Mazzoleni… - Frontiers in …, 2021 - frontiersin.org
Single-cell technology is a relatively new and promising way to obtain high-resolution
transcriptomic data mostly used for animals during the last decade. However, several …

MATHEMATICAL MODELLING OF EPITHELIAL TISSUE DYNAMICS

IV Krasnyakov, DA Bratsun, LM Pismen - Russian Journal of …, 2020 - ered.pstu.ru
The rapid development of computer technologies and high-performance computing systems
has led to the possibility to simulate directly the biomechanical properties of cell tissue. This …

Математическое моделирование роста карциномы при динамическом изменении фенотипа клеток

ИВ Красняков, ДА Брацун, ЛМ Письмен - Компьютерные …, 2018 - mathnet.ru
В работе предлагается двумерная хемомеханическая модель роста инвазивной
карциномы в ткани эпителия. Каждая клетка ткани представляет собой эластичный …