Comprehensive review of models and methods for inferences in bio-chemical reaction networks

P Loskot, K Atitey, L Mihaylova - Frontiers in genetics, 2019 - frontiersin.org
The key processes in biological and chemical systems are described by networks of
chemical reactions. From molecular biology to biotechnology applications, computational …

Mean-field selective optimal control via transient leadership

G Albi, S Almi, M Morandotti, F Solombrino - Applied Mathematics & …, 2022 - Springer
A mean-field selective optimal control problem of multipopulation dynamics via transient
leadership is considered. The agents in the system are described by their spatial position …

Mean-field sparse optimal control of systems with additive white noise

G Ascione, D Castorina, F Solombrino - SIAM Journal on Mathematical …, 2023 - SIAM
We analyze the problem of controlling a multiagent system with additive white noise through
parsimonious interventions on a selected subset of the agents (leaders). For such a …

Stationary distributions of systems with discreteness-induced transitions

E Bibbona, J Kim, C Wiuf - Journal of The Royal Society …, 2020 - royalsocietypublishing.org
We provide a theoretical analysis of some autocatalytic reaction networks exhibiting the
phenomenon of discreteness-induced transitions. The family of networks that we address …

Enhanced heat transfer and fluid motion in 3D nanofluid with anisotropic slip and magnetic field

S Li, N Tarakaramu, MI Khan, N Sivakumar… - Open Physics, 2024 - degruyter.com
A mathematical model is envisaged that discusses the motion of 3D nanofluids (NFs) with
anisotropic slip influence magnetic field past a stretching sheet. The heat transportation …

Mean-field analysis of multipopulation dynamics with label switching

M Morandotti, F Solombrino - SIAM Journal on Mathematical Analysis, 2020 - SIAM
The mean-field analysis of a multipopulation agent-based model is performed. The model
couples a particle dynamics driven by a nonlocal velocity with a Markov-type jump process …

Inferring biological processes with intrinsic noise from cross-sectional data

S Maddu, V Chardès, M Shelley - arxiv preprint arxiv:2410.07501, 2024 - arxiv.org
Inferring dynamical models from data continues to be a significant challenge in
computational biology, especially given the stochastic nature of many biological processes …

Strong Gaussian approximation of metastable density-dependent Markov chains on large time scales

A Prodhomme - Stochastic Processes and their Applications, 2023 - Elsevier
We consider density-dependent Markov chains converging, as the scale parameter K> 0
goes to infinity, to the solution of an ODE admitting an exponentially stable equilibrium point …

A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games

S Almi, M Morandotti, F Solombrino - Journal of Evolution Equations, 2021 - Springer
A multi-step Lagrangian scheme at discrete times is proposed for the approximation of a
nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous …

Individual molecules dynamics in reaction network models

D Cappelletti, GA Rempala - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
In a stochastic reaction network setting we consider the problem of tracking the fate of
individual molecules. We show that by using the classical large volume limit results, we may …