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When the body is infected, it mounts an acute inflammatory response to rid itself of the pathogens and restore health. Uncontrolled acute inflammation due to infection is defined clinically as Sepsis and can culminate in organ failure and…

Tissues and Organs · Quantitative Biology 2007-05-23 Rukmini Kumar , Gilles Clermont , Yoram Vodovotz , Carson Chow

Immunotherapy constitutes a paradigm shift in cancer treatment. Its FDA approval for several indications has yielded improved prognosis for cases where traditional therapy has shown limited efficiencey. However, many patients still fail to…

Medical Physics · Physics 2023-08-08 Nikita Vladimirov , Or Perlman

Controlling microalgae cultivation, i.e., a crucial industrial topic today, is a challenging task since the corresponding modeling is complex, highly uncertain and time-varying. A model-free control setting is therefore introduced in order…

Systems and Control · Computer Science 2021-01-25 Sihem Tebbani , Mariana Titica , Cédric Join , Michel Fliess , Didier Dumur

Recent success in deep reinforcement learning for continuous control has been dominated by model-free approaches which, unlike model-based approaches, do not suffer from representational limitations in making assumptions about the world…

Machine Learning · Computer Science 2019-05-07 Muhammad Burhan Hafez , Cornelius Weber , Matthias Kerzel , Stefan Wermter

A modulated model predictive controller is designed for an inductor-less modular multilevel converter targeting an MVDC solid-state transformer application. The underlying optimization problem is formulated such that a unique closed-form…

Optimization and Control · Mathematics 2021-03-26 Sandro Martin , Hui Li , Olugbenga Moses Anubi

It is shown that the "intelligent" controllers which are associated to the recently introduced model-free control synthesis may be easily implemented on cheap and small programmable devices. Several successful numerical experiments are…

Optimization and Control · Mathematics 2013-07-19 Cédric Join , Frédéric Chaxel , Michel Fliess

Tumor-immune interactions are central to cancer progression and treatment outcomes. In this study, we present a stochastic agent-based model that integrates cellular heterogeneity, spatial cell-cell interactions, and drug resistance…

Tissues and Organs · Quantitative Biology 2026-05-19 Yuhong Zhang , Chenghang Li , Boya Wang , Jinzhi Lei

In immune system simulation there are two competing simulation approaches: System Dynamics Simulation (SDS) and Agent-Based Simulation (ABS). In the literature there is little guidance on how to choose the best approach for a specific…

Computational Engineering, Finance, and Science · Computer Science 2013-07-05 Grazziela P Figueredo , Uwe Aickelin , Peer-Olaf Siebers

We continue our study of a model for cancer treatment, constructed in Dutta et. al., 2025, by adding Virotherapy to the Chemotherapy and Immunotherapy studied there. It is a dynamical system model for the spread of cancer in healthy tissue.…

Other Quantitative Biology · Quantitative Biology 2026-03-02 Tarini Kumar Dutta , Silmera A Sangma , Janice Moore , Meir Shillor

Medicine is moving from a curative discipline to a preventative discipline relying on personalised and precise treatment plans. The complex and multi level pathophysiological patterns of most diseases require a systemic medicine approach…

Computational Engineering, Finance, and Science · Computer Science 2020-07-21 Pietro Barbiero , Pietro Lió

In the modern world, we are permanently using, leveraging, interacting with, and relying upon systems of ever higher sophistication, ranging from our cars, recommender systems in e-commerce, and networks when we go online, to integrated…

Artificial Intelligence · Computer Science 2023-06-23 Patrick Rodler

In previous works, the author and collaborators establish a mathematical model for injury response in articular cartilage. In this paper we use mathematical software and computational techniques, applied to an existing model to explore in…

Quantitative Methods · Quantitative Biology 2013-07-26 Jason M Graham

This paper states that Model-Free Control (MFC), which must not be confused with Model-Free Reinforcement Learning, is a new tool for Machine Learning (ML). MFC is easy to implement and should be substituted in control engineering to ML via…

Systems and Control · Electrical Eng. & Systems 2020-12-11 Michel Fliess , Cédric Join

There is a widespread intuition that model-based control methods should be able to surpass the data efficiency of model-free approaches. In this paper we attempt to evaluate this intuition on various challenging locomotion tasks. We take a…

A data-efficient learning-based control design method is proposed in this paper. It is based on learning a system dynamics model that is then leveraged in a two-level procedure. On the higher level, a simple but powerful optimization…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Ludvig Svedlund , Constantin Cronrath , Jonas Fredriksson , Bengt Lennartson

Model-free algorithms are brought into the control system's research with the emergence of reinforcement learning algorithms. However, there are two practical challenges of reinforcement learning-based methods. First, learning by…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Mi Zhou , Erik Verriest , Chaouki Abdallah

We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic variable, representing their level of resistance to the…

Optimization and Control · Mathematics 2016-12-15 Camille Pouchol , Jean Clairambault , Alexander Lorz , Emmanuel Trélat

We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host tissues. The state system consists of a Cahn-Hilliard type…

Analysis of PDEs · Mathematics 2023-07-28 Cecilia Cavaterra , Elisabetta Rocca , Hao Wu

The control and modeling of robot dynamics have increasingly adopted model-free control strategies using machine learning. Given the non-linear elastic nature of bionic robotic systems, learning-based methods provide reliable alternatives…

Robotics · Computer Science 2024-10-08 Po-Yu Hsieh , June-Hao Hou

We study the optimal control problem of a free boundary PDE model describing the growth of multilayered tumor tissue in vitro. We seek the optimal amount of tumor growth inhibitor that simultaneously minimizes the thickness of the tumor…

Analysis of PDEs · Mathematics 2024-10-21 Xinyue Evelyn Zhao , Yixiang Wu , Rachel Leander , Wandi Ding , Suzanne Lenhart