The SSIT allows users to specify and solve the Chemical Master Equation (CME) for discrete stochastic models, especially those used for the analysis of single-cell gene regulaton. Inform and improve ...

Differential equations often give rise to rank-structured matrices characterized by low-rank off-diagonal blocks. These matrices can be conveniently represented in a hierarchical format, enabling ...

Quantum computing exploits quantum mechanics to perform certain computations more efficiently than classical computers. Current quantum computers have performed carefully tailored computational tasks ...

Synchronization among interacting entities is a process that underlies the function of numerous systems, including circadian clocks and laser arrays. It is generally believed that homogeneity among ...

An intuitive understanding of physical objects and events is critical for successfully interacting with the world. Does the brain achieve this understanding by running simulations in a mental physics ...

Recent advances in computer hardware and algorithms are spawning an explosive growth in the use of computer-based systems aimed at analyzing and ultimately correlating large amounts of experimental ...

We consider the question of 30-min prediction of blood glucose levels measured by continuous glucose monitoring devices, using clinical data. While most studies of this nature deal with one patient at ...

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Scientific computing increasingly requires both accurate simulations of physical systems as well as optimizing them over many parameters for tasks such as inverse ...