Mathematical modeling and optimal control of the COVID-19 dynamics
We are considering a new COVID-19 model with an optimal control analysis when vaccination is present. Firstly, we formulate the vaccine-free model and present the associated mathematical results involved. Stability results for R 0 < 1 are shown. In addition, we frame the model with the vaccination class. We look at the mathematical results with the
Zhong-Hua Shen +5 more
openaire +3 more sources
Stochastic control of memory mean-field processes
By a memory mean-field process we mean the solution X(\cdot ) of a stochastic mean-field equation involving not just the current state X(t) and its law \mathcal {L}(X(t)) at time t, but also the state values X(s) and its law \mathcal {L}(X(s)) at some ...
Nacira Agram +5 more
core +1 more source
A rational deferred correction approach to parabolic optimal control problems [PDF]
The accurate and efficient solution of time-dependent PDE-constrained optimization problems is a challenging task, in large part due to the very high dimension of the matrix systems that need to be solved.
Stefan Güttel +5 more
core +1 more source
Multi-agent collaborative search : an agent-based memetic multi-objective optimization algorithm applied to space trajectory design [PDF]
This article presents an algorithm for multi-objective optimization that blends together a number of heuristics. A population of agents combines heuristics that aim at exploring the search space both globally and in a neighbourhood of each agent.
Vasile, M. +3 more
core +1 more source
A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
core +1 more source
Investigating transcription factor dynamics in health and disease using FRAP
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Constrained Estimation and Approximation Using Control, Optimization, and Spline Theory
There has been an increasing interest in shape constrained estimation and approximation in the fields of applied mathematics and statistics. Applications from various areas of research such as biology, engineering, and economics have fueled this soaring ...
Lebair, Teresa M.
core +1 more source
Dynamic programming for optimal control problems with delays in the control variable [PDF]
We study a class of optimal control problems with state constraint, where the state equation is a differential equation with delays in the control variable. This class of problems arises in some economic applications, in particular in optimal advertising
Tacconi E. +8 more
core +1 more source
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Duality in $H^infty$ Cone Optimization
Positive real cones in the space $H^infty$ appear naturally in many optimization problems of control theory and signal processing. Although such problems can be solved by finite-dimensional approximations (e.g., Ritz projection), all such approximations ...
Ghulchak, Andrey +4 more
core +1 more source

