京都大学の坂上先生と名古屋市立大学の板谷先生が心臓内の渦血流を同定するためトポロジー（位相幾何学）と力学理論を組み合わせ渦血流のパターンを解読し、健常な心臓と初期の心不全との違いを発見しました。

先天性心疾患治療における血流解析手法の役割

Blood flow kinetic energy is a novel marker for right ventricular global systolic function in patients with left ventricular assist device therapy

Correlation between aortic valve protein levels and vector flow mapping of wall shear stress and oscillatory shear index in patients supported with continuous-flow left ventricular assist devices

Paravalvular Leak After Mitral Valve Replacement or Another Source for a Regurgitant Jet?

Influence of a single hemodialysis on left ventricular energy loss and wall shear stress in patients with uremic cardiomyopathy assessed with vector flow mapping

Changes in Cardiac Function During the Development of Uremic Cardiomyopathy and the Effect of Salvianolic Acid B Administration in a Rat Model

Preoperative Left Ventricular Energy Loss in the Operating Theater Reflects Subjective Symptoms in Chronic Aortic Regurgitation

Novel method of diastolic stress echocardiography during bottle-feeding for infants with congenital heart disease

Cardiovascular magnetic resonance-derived left ventricular intraventricular pressure gradients among patients with precapillary pulmonary hypertension

Evaluation of energy loss in patients with severe primary valvular heart disease before cardiac valve intervention

Non-invasive assessment of left ventricular relaxation property using color M-mode-derived intraventricular pressure gradients in cats

Intraventricular pressure gradient: a promising tool to predict the post-infarction chronic congestive heart failure in rats

Amount of dissipative energy loss when assessing left ventricular dysfunction in female patients with systemic lupus erythematosus

Amount of dissipative energy loss when assessing left ventricular dysfunction in female patients with systemic lupus erythematosus

Vector Flow Mapping Application in Local Cardiac Function in Hypertension Assessment

Left ventricular diastolic pressure gradient and outcome in advanced chronic kidney disease patients with preserved ejection fraction

Factors contributing to energy loss in left ventricle during diastolic and systolic phases in elderly patients

Difference in Intraventricular Vortex Between the Single Right Ventricle and Single Left Ventricle

Analysis of vortex ring formation in the heart chamber by instantaneous vortex deviation based on convolutional neural network

Loss of apical suction assessed by noninvasive pressure differences and twist in acute heart failure: a novel method using vector flow mapping

Noninvasive estimation of impaired left ventricular untwisting velocity by peak early diastolic intra‑ventricular pressure gradients using vector fow mapping

Evaluation of left ventricular function by vector flow mapping in females with systemic lupus erythematosus

Left ventricular diastolic pressure gradient and outcome in advanced chronic kidney disease patients with preserved ejection fraction

Influence of aneurysmal aortic root geometry on mechanical stress to the aortic valve leaflet

Dissipative energy loss within the left ventricle detected by vector flow mapping in children: Normal values and effects of age and heart rate

Left intraventricular pressure gradient in hypertrophic cardiomyopathy patients receiving implantable cardioverter-defibrillators for primary prevention

The Utility of Intraventricular Pressure Gradient for Early Detection of Chemotherapy-Induced Subclinical Cardiac Dysfunction in Dogs

A novel in vivo assessment of fluid dynamics on aortic valve leaflet using epi-aortic echocardiogram

Flow-dynamics assessment of mitral-valve surgery by intraoperative vector flow mapping

Changes in left ventricular blood flow during diastole due to differences in chamber size in healthy dogs

Prolonged vortex formation during the ejection period in the left ventricle with low ejection fraction: a study by vector flow mapping

Assessment of early diastolic intraventricular pressure gradient in the left ventricle among patients with repaired tetralogy of Fallot

Development of suction force during early diastole from the left atrium to the left ventricle in infants, children, and adolescents

New insight into the intraventricular pressure gradient as a sensitive indicator of diastolic cardiac dysfunction in patients with childhood cancer after anthracycline therapy