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The use of fully or partially absorbing boundary conditions for diffusion-based problems has become paradigmatic in physical chemistry and biochemistry to describe reactions occurring in solutions or in living media. However, as chemical…

Statistical Mechanics · Physics 2022-12-13 Francesco Piazza

Cells often have tens of thousands of receptors, even though only a few activated receptors can trigger full cellular responses. Reasons for the overabundance of receptors remain unclear. We suggest that, in certain conditions, the large…

Molecular Networks · Quantitative Biology 2014-02-04 Xiang Cheng , Lina Merchan , Martin Tchernookov , Ilya Nemenman

Eukaryotic cells can polarize and migrate in response to electric fields via "galvanotaxis," which aids wound healing. Experimental evidence suggests cells sense electric fields via molecules on the cell's surface redistributing via…

Biological Physics · Physics 2023-07-25 Ifunanya Nwogbaga , A Hyun Kim , Brian A. Camley

Synaptic communication is a natural Molecular Communication (MC) system which may serve as a blueprint for the design of synthetic MC systems. In particular, it features highly specialized mechanisms to enable inter-symbol interference…

Emerging Technologies · Computer Science 2021-10-01 Sebastian Lotter , Maximilian Schäfer , Johannes Zeitler , Robert Schober

Robustly and accurately localizing objects in real-world environments can be challenging due to noisy data, hardware limitations, and the inherent randomness of physical systems. To account for these factors, existing works estimate the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Moussa Kassem Sbeyti , Michelle Karg , Christian Wirth , Azarm Nowzad , Sahin Albayrak

In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements. A central problem is the relation between systems which…

Dynamical Systems · Mathematics 2016-11-17 Henrik Sandberg , Jean-Charles Delvenne , John C. Doyle

Some cells have to take decision based on the quality of surroundings ligands, almost irrespective of their quantity, a problem we name "absolute discrimination". An example of absolute discrimination is recognition of not-self by immune T…

Cell Behavior · Quantitative Biology 2016-02-17 Paul François , Grégoire Altan-Bonnet

Traditional chemical kinetics may be inappropriate to describe chemical reactions in micro-domains involving only a small number of substrate and reactant molecules. Starting with the stochastic dynamics of the molecules, we derive a…

Mathematical Physics · Physics 2009-11-10 D. Holcman , Z. Schuss

Luminescence-based sensors for measuring oxygen concentration are widely used both in industry and research due to the practical advantages and sensitivity of this type of sensing. The measuring principle is the luminescence quenching by…

Signal Processing · Electrical Eng. & Systems 2020-08-31 Umberto Michelucci , Michael Baumgartner , Francesca Venturini

A living cell senses its environment and responds to external signals. In this work, we study theoretically, the precision at which cells can determine the position of a spatially localized transient extracellular signal. To this end, we…

Cell Behavior · Quantitative Biology 2019-09-04 Vaibhav H. Wasnik , Peter Lipp , Karsten Kruse

Quantum sensors are now universally acknowledged as one of the most promising near-term quantum technologies. The traditional formulation of quantum sensing introduces a concrete bound on ultimate precision through the so-called local…

Quantum Physics · Physics 2025-02-13 Chiranjib Mukhopadhyay , Victor Montenegro , Abolfazl Bayat

We consider refractive index sensing with optical bounds states in the continuum (BICs) in dielectric gratings. Applying a perturbative approach we derived the differential sensitivity and the figure of merit of a sensor operating in the…

Dynamic reciprocity imposes stringent performance constraints on nonlinear optical devices such as isolators and circulators. The seminal result by Shi et al. establishes that nonlinear optical devices relying on the intensity-dependent…

Optics · Physics 2024-08-26 Alexander D. White , Rahul Trivedi

Negative refractive index materials have attracted significant research attention due to their unique electromagnetic response characteristics. In this paper, we employ the complementing boundary condition to establish rigorous a priori…

Analysis of PDEs · Mathematics 2025-05-28 Wenjing Zhang , Yu Chen , Yixian Gao

The problem of detection time distribution concerns a quantum particle surrounded by detectors and consists of computing the probability distribution of where and when the particle will be detected. While the correct answer can be obtained…

Quantum Physics · Physics 2016-01-19 Roderich Tumulka

In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency $1/\delta$ ($0 < \delta \ll 1$), together with small white noise…

Probability · Mathematics 2021-10-15 Shivam Dhama , Chetan D. Pahlajani

Wireless sensing has been recognized as a key enabling technology for numerous emerging applications. For decades, the sensing performance was mostly evaluated from a reliability perspective, with the efficiency aspect widely unexplored.…

Signal Processing · Electrical Eng. & Systems 2023-06-13 Fuwang Dong , Fan Liu , Shihang Lu , Yifeng Xiong

A boundary time-crystal is a quantum many-body system whose dynamics is governed by the competition between coherent driving and collective dissipation. It is composed of $N$ two-level systems and features a transition between a stationary…

Quantum Physics · Physics 2024-08-13 Albert Cabot , Federico Carollo , Igor Lesanovsky

Given an ODE and its perturbation, the Alekseev formula expresses the solutions of the latter in terms related to the former. By exploiting this formula and a new concentration inequality for martingale-differences, we develop a novel…

Optimization and Control · Mathematics 2019-04-02 Gugan Thoppe , Vivek S. Borkar

A theory of the absorption of a laser field by an atomic or condensed matter medium is presented for the case where the medium is also interacting with a strong electromagnetic field. The rotating wave approximation is not assumed for the…

Quantum Physics · Physics 2025-04-14 R M Potvliege