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We present a stabilised finite element method for modelling proton transport in tissue, incorporating both inelastic energy loss and elastic angular scattering. A key innovation is a positivity-preserving formulation that guarantees…

Numerical Analysis · Mathematics 2025-06-03 Ben S. Ashby , Abdalaziz Hamdan , Tristan Pryer

This report presents a design of a gantry for proton therapy based on the concept of adiabatic transition. The use of fixed-field alternating gradient magnets allows a large momentum acceptance and supports fast energy modulation. The…

Accelerator Physics · Physics 2021-05-13 Titus-Stefan Dascalu , Suzanne L. Sheehy

We have developed a model for proton depth dose and lateral distributions based on Monte Carlo calculations (GEANT4) and an integration procedure of the Bethe-Bloch equation (BBE). The model accounts for the transport of primary and…

Medical Physics · Physics 2010-09-14 W. Ulmer , B. Schaffner

Steady state is an essential concept in reaction networks. Its stability reflects fundamental characteristics of several biological phenomena such as cellular signal transduction and gene expression. Because biochemical reactions occur at…

Molecular Networks · Quantitative Biology 2019-04-19 Tan Van Vu , Yoshihiko Hasegawa

We study the flow harmonic distribution in deformed nuclei. To do this, we use the standard Gram-Charlier method to find the higher-order correction to the well-known Bessel-Gaussian distribution. We find that, apart from the necessity of…

Nuclear Theory · Physics 2023-01-20 Hadi Mehrabpour , S. M. A. Tabatabaee

AWAKE, the Advanced Proton-Driven Plasma Wakefield Acceleration Experiment, is a proof-of-principle R&D experiment at CERN using a 400 GeV/c proton beam from the CERN SPS (longitudinal beam size sigma_z = 12 cm) which will be sent into a 10…

Plasma Physics · Physics 2016-08-03 M. Turner , A. Petrenko , B. Biskup , S. Burger , E. Gschwendtner , K. V. Lotov , S. Mazzoni , H. Vincke

Purpose: To measure dispersion of a clinical proton therapy beam. Methods and Materials: The proton center at our institution uses a Hitachi PROBEAT V synchrotron that delivers beams with energies ranging from 70 to 230 MeV to five…

Medical Physics · Physics 2018-05-02 Satomi Shiraishi , Michael G. Herman , Keith M. Furutani

Post-hoc feature attribution methods are widely deployed in safety-critical vision systems, yet their stability under realistic input perturbations remains poorly characterized. Existing metrics evaluate explanations primarily under…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Kamalasankari Subramaniakuppusamy , Jugal Gajjar

This paper characterizes the microdosimetric spectra of a single-energy carbon-ion pencil beam at MedAustron using a miniature solid-state silicon microdosimeter to estimate the impact of the lateral distribution of the different fragments…

Medical Physics · Physics 2024-03-14 Cynthia Meouchi , Sandra Barna , Anatoly Rosenfeld , Linh T. Tran , Hugo Palmans , Giulio Magrin

We have used an inexpensive 3D printer mounting an inexpensive pre-irradiated silicon diode to measure the 2D dose distribution of a small (approximately 10mm FWHM) proton beam. z was measured with high resolution whereas x was changed on a…

Instrumentation and Detectors · Physics 2019-08-13 Ethan W. Cascio , Bernard Gottschalk

Anisotropic diffusion processes with a diffusion tensor are important in image analysis, physics, and engineering. However, their numerical approximation has a strong impact on dissipative artefacts and deviations from rotation invariance.…

Numerical Analysis · Mathematics 2024-04-09 Karl Schrader , Joachim Weickert , Michael Krause

Sequential Monte Carlo methods, also known as particle methods, are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. In many applications it may be necessary to compute the sensitivity,…

Statistics Theory · Mathematics 2011-06-14 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

A novel dose calculation approach was designed based on the application of LSTM network that processes the 3D patient/phantom geometry as a sequence of 2D computed tomography input slices yielding a corresponding sequence of 2D slices that…

Medical Physics · Physics 2021-06-09 Ahmad Neishabouri , Niklas Wahl , Ulrich Köthe , Mark Bangert

Fast procedures for the beam quality assessment and for the monitoring of beam energy modulations during the irradiation are among the most urgent improvements in particle therapy. Indeed, the online measurement of the particle beam energy…

The purpose of this study is to determine whether organ sparing and target coverage can be simultaneously maintained for pencil beam scanning (PBS) proton therapy treatment of thoracic tumors in the presence of motion, stopping power…

Proton therapy is a cancer treatment technique currently in growth worldwide. It offers advantages with respect to conventional X-ray and $\gamma$-ray radiotherapy, in particular, a better control of the dose deposition allowing to reach a…

Objective: To assess the accuracy and computational performance of a stochastic differential equation (SDE)--based model for proton beam dose calculation by benchmarking against Geant4 in simplified phantom geometries. Approach: Building on…

Single minibeams of protons, $^{4}$He, $^{12}$C and $^{16}$O in water were modeled with Geant4, and their dose distributions were parameterized with double-Gauss-Rutherford (DGR) functions. Dose distributions from arrays of 16 parallel…

Medical Physics · Physics 2024-12-30 Savva Savenkov , Alexandr Svetlichnyi , Igor Pshenichnov

Mathematical modeling is now used commonly in the analysis of signaling networks. With advances in high resolution microscopy, the spatial location of different signaling molecules and the spatio-temporal dynamics of signaling microdomains…

Subcellular Processes · Quantitative Biology 2016-07-26 Jasmine Nirody , Padmini Rangamani

This work models the propagation of an optical pulse in a 4-level atomic system in the electromagnetic induced transparency regime. By demonstrating that linear and nonlinear optical properties can be externally controlled and tailored by a…

Optics · Physics 2018-10-11 Nuno A. Silva , André L. Almeida , A. Guerreiro