Mathematical analysis of the limiting behaviors of a chromatin modification circuit by Bruno, Simone, Williams, Ruth J., Del Vecchio, Domitilla

“…In order to perform this mathematical analysis, we first show that the deterministic model of the system is a singular singularly perturbed (SSP) system and use a model reduction approach for SSP systems to obtain a reduced one-dimensional model. …”
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Mathematical analysis of oxygen transfer through polydimethylsiloxane membrane between double layers of cell culture channel and gas chamber in microfluidic oxygenator by Kim, Min-Cheol, Lam, Raymond H. W., Thorsen, Todd, Asada, Haruhiko Harry

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An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws by Taddei, Tommaso, Quarteroni, Alfio, Salsa, Sandro

“…Then, during the online stage, we employ the surrogate model to generate accurate initial conditions for an iterative Newton solver. We present a mathematical analysis of the Riemann problem to justify the proposed approach. …”
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What Is the Trait d’Union between Retroactivity and Molecular Communication Performance Limits? by Ratti, Francesca, Magarini, Maurizio, Del Vecchio, Domitilla

“…This paper focuses on studying the impact of retroactivity on different biological signaling system models, which present analogies with well-known telecommunication systems. The mathematical analysis is performed both in the high and low molecular counts regime, by mean of the Chemical Master Equation and the Linear Noise Approximation, respectively. …”
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Signaling Architectures that Transmit Unidirectional Information Despite Retroactivity by Shah, Rushina Jaidip, Del Vecchio, Domitilla

“…Here, we propose a general procedure based on mathematical analysis that provides an answer to this question. …”
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