Cook, Carley V. Lighty, Ariel M. Smith, Brenda J. Ford Versypt, Ashlee N.
Published in
Frontiers in Systems Biology

Bone remodeling is an essential, delicately balanced physiological process of coordinated activity of bone cells that remove and deposit new bone tissue in the adult skeleton. Due to the complex nature of this process, many mathematical models of bone remodeling have been developed. Each of these models has unique features, but they have underlying...

Gabel, Alex Quax, Rick Gavves, Efstratios
Published in
Machine Learning: Science and Technology

Symmetry detection, the task of discovering the underlying symmetries of a given dataset, has been gaining popularity in the machine learning community, particularly in science and engineering applications. Most previous works focus on detecting ‘canonical’ symmetries such as translation, scaling, and rotation, and cast the task as a modeling probl...

Kontomaris, Stylianos-Vasileios Malamou, Anna
Published in
Physics Education

A damped oscillation is characterized by the diminishing amplitude of an oscillating system resulting from the dissipation of energy. A crucial example of damped oscillations involves a block of mass attached to the end of a linear spring, experiencing a damping force proportional to the object’s velocity and acting in opposition to the direction o...

Poulakis, Michail Malamou, Anna Kontomaris, Stylianos Vasileios
Published in
Physics Education

Calculating time intervals in motions with non-constant acceleration is a challenging task. In most cases, advanced mathematical tools are required. Therefore, these topics are usually not suitable for presentation at the high school level. In this paper, the case of the motion of a block of mass attached to the end of a linear spring on a rough su...

Menet, Vincent

We construct a new class of non-supersymmetric ten-dimensional type II flux vacua, by studying first order differential equations which are deformations of the $\mathcal{N}=1$ supersymmetry conditions. We do so within the context of Generalised Complex Geometry, where there is a natural interpretation of the $\mathcal{N}=1$ supersymmetry conditions...

Frost, Hadleigh Gürdogan, Ömer Mason, Lionel

Alday & Maldacena conjectured an equivalence between string amplitudes in AdS$_5 \times S^5$ fixed by null polygonal boundaries in Minkowski-space with both amplitudes and Wilson loops in planar $\mathcal{N}=4$ super-Yang-Mills (SYM). At strong coupling this leads to an identification of SYM amplitudes with areas of minimal surfaces in AdS. Togethe...

Brunello, Giacomo Crisanti, Giulio Giroux, Mathieu Mastrolia, Pierpaolo Smith, Sid

Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applications pertinent to gravitational bremsstrahlung and deep inelastic scattering in the saturation regime. After identifying the bases of master integrals, the latter are ev...

Al-Jaser, Asma Qaraad, Belgees Ramos, Higinio Serra, Stefano

This paper deals with the oscillatory behavior of solutions of a new class of second-order nonlinear differential equations. In contrast to most of the previous results in the literature, we establish some new criteria that guarantee the oscillation of all solutions of the studied equation without additional restrictions. Our approach improves the ...

Creminelli, Paolo Renaux-Petel, Sébastien Tambalo, Giovanni Yingcharoenrat, Vicharit

We study the statistics of scalar perturbations in models of inflation with small and rapid oscillations in the inflaton potential (resonant non-Gaussianity). We do so by deriving the wavefunction $\Psi[\zeta(\boldsymbol{x})]$ non-perturbatively in $\zeta$, but at first order in the amplitude of the oscillations. The expression of the wavefunction ...

Brandhuber, Andreas Brown, Graham R. Chen, Gang De Angelis, Stefano Gowdy, Joshua Travaglini, Gabriele

Using a heavy-mass effective field theory (HEFT), we study gravitational-wave emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at next-to-leading order in the Post-Minkowskian expansion. We compute the contributions to the one-loop scattering amplitude with four scalars and one graviton which are relevant ...