Game Theory and Its Applications in Imaging and Vision

Theljani, Anis; Habbal, Abderrahmane; Kallel, Moez; Chen, Ke

doi:10.1007/978-3-030-03009-4_102-1

Cited by 2 publications

(2 citation statements)

References 48 publications

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“…We provide a theoretical analysis of the NE and SE for the differential game (AS). In [35–38], there are analogous findings for other NE and SE differential games and optimal control problems. First, we prove that the ODE system (2.5) has positive solutions.…”

Section: Theory Of the Evolutionary Differential Gamementioning

confidence: 72%

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An evolutionary differential game for regulating the role of monoclonal antibodies in treating signalling pathways in oesophageal cancer

Alajmi,

Roy

2024

R. Soc. Open Sci.

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This work presents a new framework for a competitive evolutionary game between monoclonal antibodies and signalling pathways in oesophageal cancer. The framework is based on a novel dynamical model that takes into account the dynamic progression of signalling pathways, resistance mechanisms and monoclonal antibody therapies. This game involves a scenario in which signalling pathways and monoclonal antibodies are the players competing against each other, where monoclonal antibodies use Brentuximab and Pembrolizumab dosages as strategies to counter the evolutionary resistance strategy implemented by the signalling pathways. Their interactions are described by the dynamical model, which serves as the game’s playground. The analysis and computation of two game-theoretic strategies, Stackelberg and Nash equilibria, are conducted within this framework to ascertain the most favourable outcome for the patient. By comparing Stackelberg equilibria with Nash equilibria, numerical experiments show that the Stackelberg equilibria are superior for treating signalling pathways and are critical for the success of monoclonal antibodies in improving oesophageal cancer patient outcomes.

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Section: Theory Of the Evolutionary Differential Gamementioning

confidence: 72%

“…With this preparation, we are now ready to state and prove the main results of the existence of Nash and Stackelberg equilibria. The proofs use similar arguments given in [35–38]. ∎…”

Section: Theory Of the Evolutionary Differential Gamementioning

confidence: 98%

An evolutionary differential game for regulating the role of monoclonal antibodies in treating signalling pathways in oesophageal cancer

Alajmi,

Roy

2024

R. Soc. Open Sci.

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On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images

2021

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This paper proposes a new variational model for segmentation of low-contrast and piecewise smooth images. The model is motivated by the two-stage image segmentation work of Cai–Chan–Zeng (2013) for the Mumford–Shah model. To deal with low-contrast images more effectively, especially in treating higher-order discontinuities, we follow the idea of the Blake–Zisserman model instead of the Mumford–Shah. Two practical ideas are introduced here: first, a convex relaxation idea is used to derive an implementable formulation, and second, a game reformulation is proposed to reduce the strong dependence of coupling parameters. The proposed model is then analysed for existence and further solved by an ADMM solver. Numerical experiments can show that the new model outperforms the current state-of-the-art models for some challenging and low-contrast images.

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Game Theory and Its Applications in Imaging and Vision

Cited by 2 publications

References 48 publications

An evolutionary differential game for regulating the role of monoclonal antibodies in treating signalling pathways in oesophageal cancer

An evolutionary differential game for regulating the role of monoclonal antibodies in treating signalling pathways in oesophageal cancer

On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images

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