Longitudinal Component Research Articles

Improving signal-to-noise ratio by maximal convolution of longitudinal and transverse magnetization components in MRI: application to the breast cancer detection.

The extraction of information from images provided by medical imaging systems may be employed to obtain the specific objectives in the various fields. The quantity of signal to noise ratio (SNR) plays a crucial role in displaying the image details. The higher the SNR value, the more the information is available. In this study, a new function has been formulated using the appropriate suggestions on convolutional combination of the longitudinal and transverse magnetization components related to the relaxation times of T1 and T2 in MRI, where by introducing the distinct index on the maximum value of this function, the new maps are constructed toward the best SNR. Proposed functions were analytically simulated using Matlab software and evaluated with respect to various relaxation times. This proposed method can be applied to any medical images. For instance, the T1- and T2-weighted images of the breast indicated in the reference [35] were selected for modelling and construction of the full width at x maximum (FWxM) map at the different values of x-parameter from 0.01 to 0.955 at 0.035 and 0.015 intervals. The range of x-parameter is between zero and one. To determine the maximum value of the derived SNR, these intervals have been first chosen arbitrarily. However, the smaller this interval, the more precise the value of the x-parameter at which the signal to noise is maximum. The results showed that at an index value of x = 0.325, the new map of FWxM (0.325) will be constructed with a maximum derived SNR of 22.7 compared to the SNR values of T1- and T2-maps by 14.53 and 17.47, respectively. By convolving two orthogonal magnetization vectors, the qualified images with higher new SNR were created, which included the image with the best SNR. In other words, to optimize the adoption of MRI technique and enable the possibility of wider use, an optimal and cost-effective examination has been suggested. Our proposal aims to shorten the MRI examination to further reduce interpretation times while maintaining primary sensitivity. Our findings may help to quantitatively identify the primary sources of each type of solid and sequential cancer.

On the Existence of an Infinite Spectrum of Damped Leaky TE-Polarized Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide Coated with a Graphene Layer

We consider the problem of leaky waves in an inhomogeneous waveguide structure covered with a layer of graphene, which is reduced to a boundary value problem for the longitudinal components of the electromagnetic field in Sobolev spaces. A variational statement of the problem is used to determine the solution. The variational problem is reduced to the study of an operator function. The properties of the operator function necessary for the analysis of its spectral properties are investigated. Theorems on the discreteness of the spectrum and on the distribution of the characteristic numbers of the operator function on the complex plane are proved.

First data on the spider fauna (Arachnida: Aranei) of the Salair National Park and surroundings (Altaisky Krai, Russia)

For the fi rst time, the spider fauna of the Salair National Park and adjacent territories is studied in detail and its zoogeographical characteristics are given. The surveys were carried out in the Togul and Chumysh cluster areas and adjacent territories in 2020–2022. An annotated list has been compiled, including 118 species from 17 families and 77 genera. Twenty seven species of spiders were recorded in the Altai Territory for the fi rst time. The genus Enoplognatha Pavesi, 1880 is new to the region. The family Linyphiidae is the most diverse. At the generic level, small- sized wolf spiders of the genus Pardosa C. L. Koch, 1847 and large orb-web spiders of the genus Araneus Clerck, 1757 are represented by the highest number of species (6 and 5, respectively). The analysis of longitudinal components of the ranges of the collected species showed a signifi cant predominance (more than 70%) of widespread, trans- Palaearctic and trans- Holarctic elements. Twenty percent of species are common to the fauna of Europe and Siberia. The predicted spider species diversity of this region is 300–350 species.

Significance of the longitudinal component of paraxial light in position-dependent selection rules for quadrupole atomic transitions.

It is well established that the longitudinal component of paraxial optical vortices has a key role in specific atomic quadrupole transitions near the beam axis when the spin and orbital angular momenta are antiparallel. By deriving analytical expressions for the position-dependent selection rules, this work shows that the significant role of the longitudinal fields is not limited to this case, but rather is a more general feature for any paraxial light including, for example, optical vortices with parallel spin and orbital angular momenta as well as Guassian beams. Numerically, the transition strengths induced by the weaker longitudinal component can be twice as high as those by the stronger transverse component. We also show that there are transitions that can be induced exclusively by the longitudinal component for light carrying two quanta of orbital angular momentum.

Vectorial characterization of surface wave via one-dimensional photonic-atomic structure

Quantitative assessment of polarization properties of waves opens up the way for effective exploitation of them in many amazing applications. Tamm surface waves (TSW) that propagate on the interface of periodic dielectric media are proposed for many applications in numerous reports. The polarization state of TSW is not simply intuitive and would not be extracted from reflection spectra. Here considering orientation sensitive nature of the interaction between polarized electromagnetic wave and atom, we try to quantitatively characterize the polarization state of TSWs, excited on the surface of the 1D photonic crystal. To do this we performed direct contact between TSW and rubidium atomic gas by fabrication of a one-dimensional photonic crystal-atomic vapor cell and applied a moderate external magnetic field to create geometrical meaning and a sense of directionality to dark lines in reflection intensity. Our experimental results indicate that transition lines in the reflection spectrum of our hybrid system modify dependent on the orientation of the applied magnetic field and the transverse spin of TSW. We have used these changes to redefine the geometry of Voigt and Faraday for evanescent waves, especially Tamm surface waves. In the end, we performed simple mathematical operations on absorption spectra and extract the ratio of longitudinal and transverse electric field components of the polarization vector of TSW equal to 25\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\frac{2}{5}$$\\end{document}.

The super-chirality of vector twisted light

Vector vortex light of topological order m arises as a superposition of two twisted modes with phase functions e±imϕ (with ϕ the azimuthal variable) and circular polarizations (σ=∓1). We demonstrate that when m is sufficiently large these modes exhibit enhanced helicity densities when compared with the equivalent circularly-polarized Gaussian modes. The enhancement stems from the presence of longitudinal field components which become significant even for moderate beam widths. The super-chirality of light–matter interactions enabled by such modes suggests a high degree of enantioselectivity, surpassing conventional techniques for the chiral selection, so promising useful applications.

Spin angular momentum at the sharp focus of a cylindrical vector vortex beam

Sharp focusing of a light field with double (phase and polarization) singularity is studied. Using the Richards-Wolf method, an exact analytical expression for the longitudinal projection of the spin angular momentum (SAM) vector at the focus is obtained. The expression derived suggests that 4 (n –1) subwavelength regions are formed at the focus, where n is the cylindrical vector beam order, with their centers located on a certain circle centered on the optical axis. Notably, the SAM projections are found to have the opposite sign in the neighboring regions. This means that in the neighboring focal regions, the light has alternating left or right elliptical polarization (manifestation of a spin Hall effect). At the center of the focal spot near the optical axis, the field is right-handed elliptically polarized at m > 0, or left-handed elliptically polarized at m < 0, where m is the vortex charge. The total longitudinal spin, i.e., the longitudinal SAM component averaged over the beam-cross section, is zero and preserved upon focusing. Due to the beam containing an optical vortex with charge m, the transverse energy flow rotates on a spiral path near the focal plane, rotating on a circle in the focal plane. The rotation direction near the optical axis is counterclockwise for m > 0, and clockwise for m < 0.

Systolic Blood Pressure Levels and Probable Dementia : Secondary Analysis of a Randomized Clinical Trial

AbstractBackgroundDespite a significant 19% reduction in risk for mild cognitive impairment, the primary Systolic Blood Pressure Intervention Trial (SPRINT) analysis lacked sufficient evidence to assert statistical significance for the 17% reduction in probable dementia alone in intensive blood pressure (BP) control, defined as a target systolic BP < 120 mmHg, compared to the standard target of < 140 mmHg (p = 0.10). However, early termination of SPRINT may have caused these analyses to be under‐powered. We applied the statistical framework of joint models for longitudinal data and time‐to‐event outcomes to analyze the effect of systolic BP levels on probable dementia using the SPRINT data.MethodsSPRINT was a multicenter randomized clinical trial that enrolled patients ≥50 years of age with hypertension and increased cardiovascular risk but without diabetes or history of stroke. In this secondary analysis, the primary outcome was occurrence of adjudicated probable dementia after randomization. Secondary outcomes included adjudicated mild cognitive impairment and a composite outcome of mild cognitive impairment or probable dementia. To analyze these outcomes, we applied joint longitudinal and survival models. In the longitudinal component of the joint model, systolic BP levels were modeled as a quadratic function of time since randomization, accounting for correlation in repeated measurements and for assignment to intensive BP control versus standard care. In the survival component, multi‐variable adjustment for race, education, and age at baseline was applied.ResultsOver a median follow up of 5.2 years, a total of 325 probable dementia and 640 mild cognitive impairment events occurred. After multi‐variable adjustment (as above), the hazard ratio per 10 mmHg decrease in systolic BP was 0.89 (95% confidence interval [CI] 0.79, 0.99) for probable dementia, 0.89 (95% CI 0.82, 0.96) for mild cognitive impairment, and 0.90 (95% CI 0.84, 0.97) for their composite outcome (Table). Dynamic predictions after 2 years of follow‐up provide a descriptive summary of systolic BP levels and predicted risk of probable dementia or mild cognitive impairment (Figure).ConclusionReducing systolic BP decreases the risk of both probable dementia and mild cognitive impairment.

Open charm mesons and charmonium states in magnetized strange hadronic medium at finite temperature

In this paper, we investigate the masses of the pseudoscalar ([Formula: see text]([Formula: see text], [Formula: see text]), [Formula: see text]([Formula: see text], [Formula: see text]) and vector open charm mesons ([Formula: see text]([Formula: see text], [Formula: see text]), [Formula: see text]([Formula: see text], [Formula: see text]) as well as the pseudoscalar ([Formula: see text], [Formula: see text]) and the vector charmonium states ([Formula: see text], [Formula: see text], [Formula: see text]) in the asymmetric hot strange hadronic medium in the presence of strong magnetic fields. In the magnetized medium, the mass modification of open charm mesons due to their interactions with baryons and the scalar fields ([Formula: see text], [Formula: see text], and [Formula: see text]) is investigated in a chiral effective model. Moreover, the charged pseudoscalar meson ([Formula: see text]), as well as the longitudinal component of charged vector meson ([Formula: see text]), experience additional positive mass modifications in the magnetic field due to Landau quantization. The effect of the modification of gluon condensates simulated by the medium change of dilaton field [Formula: see text] on the masses of the charmonia is also calculated in the chiral effective model. The contribution of masses of light quarks is also considered in the modification of gluon condensates. At high temperatures, the magnetically induced modifications of scalar fields significantly reduce the in-medium masses of mesons. The effects of magnetically induced spin mixing between the pseudoscalar and the corresponding vector mesons are incorporated in our study through a phenomenological effective Lagrangian interaction. The spin mixing result in a positive mass shift for the longitudinal component of the vector mesons and a negative mass shift for the pseudoscalar mesons in the presence of the magnetic field. From the obtained in-medium masses of charmonia and open charm mesons, we have also calculated the partial decay widths of [Formula: see text] to [Formula: see text], using a light quark pair creation model, namely, the [Formula: see text] model.

Probing Dual Asymmetric Transverse Spin Angular Momentum in Tightly Focused Vector Beams in Optical Tweezers

AbstractThe spin‐orbit interaction (SOI) of light generated by tight focusing in optical tweezers is regularly employed in generating angular momentum ‐ both spin and orbital ‐ the effects being extensively observed in trapped mesoscopic particles. Specifically, the transverse spin angular momentum (TSAM), which arises due to the longitudinal component of the electromagnetic field generated by tight focusing is of special interest, both in terms of fundamental studies and associated applications. This study provides an effective and optimal strategy for generating TSAM in optical tweezers by tightly focusing first‐order radially and azimuthally polarized vector beams with no intrinsic angular momentum (AM) into a refractive index stratified medium. The choice of such input fields ensures that the longitudinal spin angular momentum (LSAM) arising from the electric (magnetic) field for the radial (azimuthal) polarization is zero. As a result, the effects of the electric and magnetic TSAM are exclusively observed separately in the case of input first‐order radially and azimuthally polarized vector beams on single optically trapped birefringent particles. This research opens up new and simple avenues for exotic and complex particle manipulation in optical tweezers.

“You get good at becoming secretive, at hiding it.” Shame and loneliness: the mental health impacts of skin picking disorder

Purpose The purpose of this paper is to report on a study into the lived experience of skin picking disorder (SPD) and to explore the psychological impact of the disorder. Design/methodology/approach Researchers employed a qualitative phenomenological approach, using Interpretative phenomenological analysis (IPA). Findings The study found that the sense of shame, common among participants, led to self-stigma, hiding, concealing and avoidance. Shame of SPD also interplayed with and compounded the shame of loneliness. Research limitations/implications Limitations included a lack of a longitudinal component to the work. This is deemed important, as both the SPD and the experience of loneliness can shift over time as circumstances change, and individuals develop strategies for coping or, conversely, experience a worsening of the condition and the shame, loneliness and social isolation it can induce. Practical implications This study draws attention to the complex nature of both SPD and loneliness. It highlights how those living with the disorder are reluctant to seek help, resulting in low rates of treatment access and distrust in health providers. Social implications As SPD is little understood, it can be erroneously deemed a “choice”; seldom discussed as a condition, it can lead to exclusion and withdrawal. The sense of shame of both appearance and behaviour interplays with and compounds the shame of loneliness and can force the individual into a further cycle of withdrawal and isolation. Originality/value While research suggests SPD should be acknowledged as a public health issue, research and literature is still relatively limited, and there are no qualitative phenomenological studies as yet that report on the lived experience of SPD.

Vector Beams with Only Transverse Intensity at Focus

In this work, the tight focusing of vector beams with azimuthal polarization and beams with a V-line of polarization singularity (sector azimuthal polarization) was simulated numerically using the Richards–Wolf formulas. It was demonstrated that in a tight focus for these beams, there is no longitudinal component of the electric field. Previously, a similar effect was demonstrated for azimuthally polarized light only. The longitudinal component of the spin angular momentum for these beams was calculated, and the possibility of creating sector azimuthally polarized beams (beams with V-line singularities) using vector waveplates was demonstrated.

Vector Light Field Immediately behind an Ideal Spherical Lens: Spin–Orbital Conversion, Additional Optical Vortices, Spin Hall Effect, Magnetization

The Richards–Wolf formulas not only adequately describe a light field at a tight focus, but also make it possible to describe a light field immediately behind an ideal spherical lens, that is, on a converging spherical wave front. Knowing all projections of light field strength vectors behind the lens, the longitudinal components of spin and orbital angular momenta (SAM and OAM) can be found. In this case, the longitudinal projection of the SAM immediately behind the lens either remains zero or decreases. This means that the Spin–Orbital Conversion (SOC) effect where part of the “spin goes into orbit” takes place immediately behind the lens. And the sum of longitudinal projections of SAM and OAM is preserved. As for the spin Hall effect, it does not form right behind the lens, but appears as focusing occurs. That is, there is no Hall effect immediately behind the lens, but it is maximum at the focus. This happens because two optical vortices with topological charges (TCs) 2 and −2 and with spins of different signs (with left and right circular polarization) are formed right behind the lens. However, the total spin is zero since amplitudes of these vortices are the same. The amplitude of optical vortices becomes different while focusing and at the focus itself, and therefore regions with spins of different signs (Hall effect) appear. A general form of initial light fields which longitudinal field component is zero at the focus was found. In this case, the SAM vector can only have a longitudinal component that is nonzero. The SAM vector elongated only along the optical axis at the focus is used in magnetization task.

Non-obstructive hypertrophic cardiomyopathy exhibit subclinical abnormalities in systolic and diastolic ventricular kinetic energy and systolic haemodynamic forces on 4D flow CMR

Abstract Background Patients with non-obstructive hypertrophic cardiomyopathy (nHCM) exhibit a range of anatomical variations including septal, reverse septal, apical, and concentric hypertrophy. Cardiovascular magnetic resonance imaging (CMR) with 4D flow permits assessment of haemodynamic forces (HDF) and kinetic energy (KE) of intraventricular blood flow (1,2). These parameters may indicate subclinical flow inefficiencies which may not be detectable on routine transthoracic echocardiography (3,4). The aim of this study was therefore to investigate if left ventricular (LV) HDF and KE differ between nHCM and controls, and between subgroups of nHCM. Methods Patients with nHCM (n=71) and age- and sex-matched controls (n=20) underwent CMR at 3T (Trio, Siemens) (Table 1). Patients were categorised as phenotype positive (P+) based on presence of hypertrophy (maximum wall thickness ≥15mm, or ≥13mm with a positive family history), and as phenotype negative (P-) referring to pre-hypertrophic sarcomeric variant carriers. Patients with P+ nHCM were classified into subgroups based on the pattern of hypertrophy. Left ventricular HDF and KE were computed over the cardiac cycle using validated modules (1) (Figure 1). Measurements of HDF were based on the Navier-Stokes equations (1), and analysed in three orthogonal directions as root mean square and peak values for systole and diastole. Force ratio was calculated as the sum of the two transverse components divided by the longitudinal component. The Mann-Whitney U test was used for group comparisons, Pearson analysis for correlations, and Fisher’s exact test for binary categorical data. Results P+, P- patients and controls had comparable LV ejection fraction from CMR, LV outflow tract pressure gradients, and diastolic parameters on echocardiography (Table 1). Systolic HDF and force ratio were increased, primarily in the lateral wall-septum direction in septal and reverse septal P+ patients compared to controls, but did not differ in any other directions in P+ compared to P- patients and to controls (Table 1, Figure 1). Diastolic HDF and force ratio did not differ between groups. Systolic KE was increased in P+ patients compared to P- and to controls (Table 1, Figure 1), mainly through increased KE in patients with septal and reverse septal hypertrophy. P+ patients also had increased late diastolic (A-wave) KE relative to P- patients and to controls (Table 1). Both systolic KE and force ratio correlated with maximum wall thickness in patients (r=0.31, p=0.005; r=0.43, p<0.0001). Conclusion In non-obstructive hypertrophic cardiomyopathy, left ventricular HDF and KE analysis from 4D flow CMR detect subclinical flow abnormalities. Increased systolic HDF and KE are linked to the extent and pattern of hypertrophy. Late diastolic A-wave KE was also abnormal in P+ patients despite normal diastolic velocities on echocardiography.Table 1Figure 1

Flexural study on U-shaped steel–concrete composite beam cross joints with L-shaped connection longitudinal transition components

The paper focuses on the U-shaped steel–concrete composite bottom beam cross joints of U-shaped Steel-concrete Composite Open-web Sandwich Plate (USCOSP), presenting a new type of cross joints transmitting the internal force of steel web by L-shaped connection Longitudinal Transition Component (LLTC). LLTC consists of sleeves, L-shaped connection plates and threaded rebars installed on the steel web using sleeves and L-shaped connection plates. Compared with the conventional cross joints which transmit internal force of steel web by Welded Longitudinal Transition Rebar (WLTR), the LLTC cross joints transfer eccentric internal force within the steel web. Through simple-point loading experiments with simply-supported at four ends, the research experimentally investigated the flexural behavior of the WLTR cross joints and the LLTC cross joints. The five specimens were varied to differ in the type of longitudinal transition components, the diameter of WLTR, the number of threaded rebars of LLTC and the strength grades of threaded rebars of LLTC. Experimental results showed that the failure mode of U-shaped steel–concrete cross joint was the buckling of steel web, the buckling of top longitudinal rebar and crush on the concrete under compression near the central region. The LLTC cross joints experienced higher load capacity and better ductility than WLTR cross joints because of little steel web buckling. The ultimate load capacity calculated according to JGJ 138–2016 and the deflection in the elastic stage calculated according to the displacement method agree well with the experiment results.

Parental Divorce and Trajectories of Alcohol Consumption in Men: A Genetically Informative Perspective.

Much of what is known about parental divorce and adult alcohol outcomes comes from cross-sectional comparisons of those who did and did not experience parental divorce. In contrast, far less is known about whether and how parental divorce is associated with alcohol consumption trajectories. We used a longitudinal perspective to investigate the associations between parental divorce and men's alcohol consumption trajectories as well as a genetically informative approach to evaluate whether the pattern of genetic and environmental influences on these trajectories differed for men who did and did not experience parental divorce. The sample included 1,614 adult men from a population-based twin registry in Virginia. Measures of parental divorce (before age 16) and alcohol consumption (between ages 10 and 40) came from interviews and life history calendars. Data were analyzed with growth curve and longitudinal biometric variance component models. In total, 11% of the sample experienced parental divorce. Parental divorce was associated with higher alcohol consumption intercepts that were sustained over time but was not associated with the linear slope or quadratic curvature of men's alcohol consumption trajectories. Longitudinal biometric variance components modeling indicated that genetic influences on alcohol consumption were higher in adolescence and young adulthood among those who experienced parental divorce compared with those who did not. Parental divorce is associated with the shape and relative influence of genetic and environmental factors on men's alcohol consumption trajectories from adolescence through adulthood.

Coherent structures detection within a dense Alpine forest

The influence of coherent vortices on the turbulence structure above and below a dense plant canopy is investigated using turbulence measurements collected at five levels on top and inside a coniferous forest on an Alpine Plateau. Five different stability regimes, from free convection to very stable stratification, were identified and considered in the analysis. Coherent structures are detected by fitting the vertical velocity auto-correlation functions with a theoretical oscillating function. This allowed to evaluate the coherent vortices characteristic timescales and to discriminate between turbulent data subsets characterized by fine-scale turbulence and subsets in which turbulence is dominated by coherent structures generated at the canopy top. An original methodology to fit cross-correlation function and to single out the most energetic frequency in presence of periodic behaviour is presented and applied to the turbulent momentum flux. The analysis shows how not far from neutral conditions the dominant time scale of the momentum flux is mainly determined by the longitudinal wind velocity component, rather than vertical one, while in free convection and very stable conditions coherent vortices do not seem to influence the momentum transport, dominated by large-scale structures. This is confirmed by the fine-scale turbulence and coherent structures efficiency in turbulence transport throughout the stability regimes.

Optical dipole potential energy of a two-level atom interacting with a tightly focused truncated optical Bessel beam

Truncated optical Bessel (TOB) beams are an orthonormal set of optical vortex beams that possess orbital angular momentum (OAM). It is characterized by a significant longitudinal electric field component at the sub-wavelength scales. The photons of a circularly polarized TOB beam also carry spin angular momentum (SAM) and can interact with a two-level atom, in the far-off resonance regime, giving rise to an optical dipole potential energy that involves a spin–orbit term that stems from the inclusion of the longitudinal field component. When a two-level atom is simultaneously irradiated by two TOB beams, the optical dipole potential energy, in some special cases, is entirely dependent on the OAM–SAM coupling. We explore the cold-atom trapping options enabled by the use of TOB beams, either single ones or combinations thereof. We put emphasis on case in which the OAM–SAM coupling is the dominant contribution. The similarities and differences between the results obtained for the TOB beams and those for the Laguerre–Gaussian beams are also discussed.

Stress fluctuations and adiabatic speed of sound in liquids: a simple way to estimate it from ab initio simulations

One of the fundamental quantities in dynamics of the liquid state, the adiabatic speed of sound c_s, is extremely difficult to predict from computer simulations, especially in ab initio simulations. Here we derive an expression for the instantaneous correlator of fluctuations of longitudinal component of stress tensor, which contains c_s along with others quantities easy accessible via classical and ab initio computer simulations. We show that the proposed methodology works well in the case of Lennard-Jones and soft-sphere simple fluids, Kr–Ar liquid mixture in connection with simulations with effective pair interactions as well as for liquid Sb, fluid Hg and molten NaCl from ab initio simulations.

Quantitative Magnetic Resonance Imaging to Assess Progression and Rupture Risk of Aortic Aneurysms: A Scoping Review.

In current practice, the diameter of an aortic aneurysm is utilized to estimate the rupture risk and decide upon timing of elective repair, although it is known to be imprecise and not patient-specific. Quantitative magnetic resonance imaging (MRI) enables the visualization of several biomarkers that provide information about processes within the aneurysm and may therefore facilitate patient-specific risk stratification. We performed a scoping review of the literature on quantitative MRI techniques to assess aortic aneurysm progression and rupture risk, summarized these findings, and identified knowledge gaps. Literature concerning primary research was of interest and the medical databases PubMed, Scopus, Embase, and Cochrane were systematically searched. This study used the PRISMA protocol extension for scoping reviews. Articles published between January 2010 and February 2023 involving animals and/or humans were included. Data were extracted by 2 authors using a predefined charting method. A total of 1641 articles were identified, of which 21 were included in the scoping review. Quantitative MRI-derived biomarkers were categorized into hemodynamic (8 studies), wall (5 studies) and molecular biomarkers (8 studies). Fifteen studies included patients and/or healthy human subjects. Animal models were investigated in the other 6 studies. A cross-sectional study design was the most common, whereas 5 animal studies had a longitudinal component and 2 studies including patients had a prospective design. A promising hemodynamic biomarker is wall shear stress (WSS), which is estimated based on 4D-flow MRI. Molecular biomarkers enable the assessment of inflammatory and wall deterioration processes. The ADAMTS4-specific molecular magnetic resonance (MR) probe showed potential to predict abdominal aortic aneurysm (AAA) formation and rupture in a murine model. Wall biomarkers assessed using dynamic contrast-enhanced (DCE) MRI showed great potential for assessing AAA progression independent of the maximum diameter. This scoping review provides an overview of quantitative MRI techniques studied and the biomarkers derived from them to assess aortic aneurysm progression and rupture risk. Longitudinal studies are needed to validate the causal relationships between the identified biomarkers and aneurysm growth, rupture, or repair. In the future, quantitative MRI could play an important role in the personalized risk assessment of aortic aneurysm rupture. The currently used maximum aneurysm diameter fails to accurately assess the multifactorial pathology of an aortic aneurysm and precisely predicts rupture in a patient-specific manner. Quantitative magnetic resonance imaging (MRI) enables the detection of various quantitative parameters involved in aneurysm progression and subsequent rupture. This scoping review provides an overview of the studied quantitative MRI techniques, the biomarkers derived from them, and recommendations for future research needed for the implementation of these biomarkers. Ultimately, quantitative MRI could facilitate personalized risk assessment for patients with aortic aneurysms, thereby reducing untimely repairs and improving rupture prevention.