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Wang N, Benemerito I, Sourbron SP, Marzo A. An In Silico Modelling Approach to Predict Hemodynamic Outcomes in Diabetic and Hypertensive Kidney Disease. Ann Biomed Eng 2024:10.1007/s10439-024-03573-2. [PMID: 38969955 DOI: 10.1007/s10439-024-03573-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2024] [Accepted: 06/27/2024] [Indexed: 07/07/2024]
Abstract
Early diagnosis of kidney disease remains an unmet clinical challenge, preventing timely and effective intervention. Diabetes and hypertension are two main causes of kidney disease, can often appear together, and can only be distinguished by invasive biopsy. In this study, we developed a modelling approach to simulate blood velocity, volumetric flow rate, and pressure wave propagation in arterial networks of ageing, diabetic, and hypertensive virtual populations. The model was validated by comparing our predictions for pressure, volumetric flow rate and waveform-derived indexes with in vivo data on ageing populations from the literature. The model simulated the effects of kidney disease, and was calibrated to align quantitatively with in vivo data on diabetic and hypertensive nephropathy from the literature. Our study identified some potential biomarkers extracted from renal blood flow rate and flow pulsatility. For typical patient age groups, resistive index values were 0.69 (SD 0.05) and 0.74 (SD 0.02) in the early and severe stages of diabetic nephropathy, respectively. Similar trends were observed in the same stages of hypertensive nephropathy, with a range from 0.65 (SD 0.07) to 0.73 (SD 0.05), respectively. Mean renal blood flow rate through a single diseased kidney ranged from 329 (SD 40, early) to 317 (SD 38, severe) ml/min in diabetic nephropathy and 443 (SD 54, early) to 388 (SD 47, severe) ml/min in hypertensive nephropathy, showing potential as a biomarker for early diagnosis of kidney disease. This modelling approach demonstrated its potential application in informing biomarker identification and facilitating the setup of clinical trials.
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Affiliation(s)
- Ning Wang
- INSIGNEO Institute for In Silico Medicine, The University of Sheffield, Sheffield, UK.
- Department of Mechanical Engineering, The University of Sheffield, Sheffield, UK.
- The University of Sheffield, Room E09, The Pam Liversidge Building, Mappin Street, Sheffield, S13JD, UK.
| | - Ivan Benemerito
- INSIGNEO Institute for In Silico Medicine, The University of Sheffield, Sheffield, UK
- Department of Mechanical Engineering, The University of Sheffield, Sheffield, UK
| | - Steven P Sourbron
- INSIGNEO Institute for In Silico Medicine, The University of Sheffield, Sheffield, UK
- School of Medicine and Population Health, The University of Sheffield, Sheffield, UK
| | - Alberto Marzo
- INSIGNEO Institute for In Silico Medicine, The University of Sheffield, Sheffield, UK
- Department of Mechanical Engineering, The University of Sheffield, Sheffield, UK
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Does Aerobic plus Machine-Assisted Resistance Training Improve Vascular Function in Type 2 Diabetes? A Systematic Review and Meta-Analysis of Randomized Controlled Trials with Trial Sequential Analysis. J Clin Med 2022; 11:jcm11154257. [PMID: 35893348 PMCID: PMC9331013 DOI: 10.3390/jcm11154257] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2022] [Revised: 06/13/2022] [Accepted: 07/04/2022] [Indexed: 02/01/2023] Open
Abstract
Type 2 diabetes mellitus (T2DM) is a chronic disease characterized by hyperglycemia, insulin resistance, and pancreatic B cell dysfunction. Hyperglycemia can cause several complications, including nephrological, neurological, ophthalmological, and vascular complications. Many modalities, such as medication, physical therapies, and exercise, are developed against vascular disorders. Among all exercise forms, aerobic plus machine-assisted resistance training is widely applied. However, whether this intervention can significantly improve vascular conditions remains controversial. In this study, an electronic search was processed for the Pubmed, Embase, and Cochrane libraries for randomized controlled trials (RCTs) comparing the efficacy of aerobic plus machine-assisted resistance training with no exercise (control) on patients with T2DM. Pulse wave velocity (PWV), the index of arterial stiffness, was chosen as primary outcome. The reliability of the pooled outcome was tested by trial sequential analysis (TSA). Secondary outcomes included systolic blood pressure (SBP) and hemoglobin A1c (HbA1c). Finally, five RCTs with a total of 328 patients were included. Compared with control, aerobic plus machine-assisted resistance training failed to provide significant improvement on PWV (MD −0.54 m/s, 95% CI [−1.69, 0.60], p = 0.35). On the other hand, TSA indicated that this results till needs more verifications. Additionally, this training protocol did not significantly decrease SBP (MD −1.05 mmHg, 95% CI [−3.71, 1.61], p = 0.44), but significantly reduced the level of HbA1c (MD −0.55%, 95% CI [−0.88, −0.22], p = 0.001). In conclusion, this meta-analysis failed to detect a direct benefit of aerobic plus machine-assisted resistance training on vascular condition in T2DM population. Yet the improvement in HbA1c implied a potential of this training method in mitigating vascular damage. More studies are needed to verify the benefit.
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Evaluation of local changes in radio-frequency signal waveform and brightness caused by vessel dilatation for ascertaining reliability of elasticity estimation inside heterogeneous plaque: a preliminary study. J Med Ultrason (2001) 2022; 49:529-543. [PMID: 35842564 DOI: 10.1007/s10396-022-01229-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/04/2022] [Accepted: 05/09/2022] [Indexed: 10/17/2022]
Abstract
PURPOSE To diagnose plaque characteristics, we previously developed an ultrasonic method to estimate the local elastic modulus from the ratio of the pulse pressure to the strain of the arterial wall due to dilatation in systole by transcutaneously measuring the minute thinning in thickness during one cardiac cycle. For plaques, however, some target regions became thicker as the vessel dilates, resulting in false elasticity. Therefore, a method to identify a reliable target for the elastic modulus estimation is indispensable. As a candidate for an identification index of plaques that become thicker during one cardiac cycle, the correlation of the radio-frequency (RF) signals remains high and it is not sufficient to obtain the elasticity. In this study, we thoroughly observed the target with a high correlation but positive strain in the plaque and characterized it by the property of the surrounding area. METHODS For the plaque formed in the right carotid sinus of a patient with hyperlipidemia and the wall of the right common carotid artery of a young healthy male, (1) the correlation value as the similarity between the RF signals, (2) change in brightness obtained from the log-compressed envelope signals, and (3) strain obtained between the time of the R-wave and that of the maximum vessel dilatation were observed to characterize the region in the plaque. RESULTS In the plaque, it was found that the region with high correlation and positive strain and its surrounding area could be classified into one of the three typical patterns. CONCLUSION As a preliminary study, this study provides a clue to assert the reliability of elasticity estimates for a region with high correlation and positive strain in the plaque based on measurable properties.
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Abstract
INTRODUCTION Type 2 diabetes mellitus (T2DM) and obesity are both related to increased risk of cardiovascular disease and mortality. Early atherosclerotic vascular changes can be detected by non-invasive tests like carotid artery intima-media thickness (cIMT) and pulse wave velocity (PWV). Both cIMT and PWV are significantly impaired in T2DM patients and in obese patients, but the additional effect of T2DM on these vascular measurements in obese subjects has not been evaluated. METHODS Two hundred morbidly obese patients with or without T2DM were enrolled in a prospective cohort study and underwent extensive laboratory testing, including cIMT and PWV measurements. The cohort was divided into a group with and a group without T2DM. RESULTS Within this cohort, 43 patients (21.5%) were diagnosed with T2DM. These patients were older and had more often (a history of) hypertension as compared to patients without T2DM. HbA1c levels were significantly increased, while LDL cholesterol was significantly lower and the use of statins higher than in non-diabetic participants. cIMT and PWV were significantly increased in subjects suffering from T2DM. The variability in cIMT and PWV was related to differences in age and systolic blood pressure, but not to the presence of T2DM. CONCLUSION While T2DM negatively affects the vasculature in morbid obesity, hypertension and age seem to be the major risk factors, independent from the presence of T2DM. CLINICAL TRIAL REGISTRATION Dutch Trial Register NTR5172 .
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Magalhães JP, Melo X, Correia IR, Ribeiro RT, Raposo J, Dores H, Bicho M, Sardinha LB. Effects of combined training with different intensities on vascular health in patients with type 2 diabetes: a 1-year randomized controlled trial. Cardiovasc Diabetol 2019; 18:34. [PMID: 30885194 PMCID: PMC6423850 DOI: 10.1186/s12933-019-0840-2] [Citation(s) in RCA: 30] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/29/2019] [Accepted: 03/04/2019] [Indexed: 12/13/2022] Open
Abstract
Background Exercise, when performed on a regular basis, is a well-accepted strategy to improve vascular function in patients with type 2 diabetes. However, the exercise intensity that yields maximal adaptations on structural and functional indices in patients with type 2 diabetes remains uncertain. Our objective was to analyze the impact of a 1-year randomized controlled trial of combined high-intensity interval training (HIIT) with resistance training (RT) vs. a combined moderate continuous training (MCT) with RT on structural and functional arterial indices in patients with type 2 diabetes. Methods Patients with type 2 diabetes (n = 80) were randomized into an exercise intervention with three groups: control, combined HIIT with RT and combined MCT with RT. The 1-year intervention had 3 weekly exercise sessions. High-resolution ultrasonography of the common carotid artery and central and peripheral applanation tonometry were used to assess the changes in structural and functional arterial indices. Generalized estimating equations were used to model the corresponding outcomes. Results After adjusting the models for sex, baseline moderate-to-vigorous physical activity, and mean arterial pressure changes, while using the intention-to-treat analysis, a significant interaction was observed on the carotid intima-media thickness (cIMT) for both the MCT (β = − 4.25, p < 0.01) and HIIT group (β = − 3.61, p < 0.01). However, only the HIIT observed favorable changes from baseline to 1-year on peripheral arterial stiffness indices such as carotid radial arterial pulse wave velocity (β = − 0.10, p = 0.044), carotid to distal posterior tibial artery pulse wave velocity (β = − 0.14, p < 0.01), and on the distensibility coefficient (β = − 0.00, p < 0.01). No effect was found for hemodynamic variables after the intervention. Conclusions Following a 1-year intervention in patients with type 2 diabetes, both the MCT and HIIT group reduced their cIMT, whereas only the HIIT group improved their peripheral arterial stiffness indices and distensibility coefficient. Taken together, HIIT may be a meaningful tool to improve long-term vascular complications in type 2 diabetes. Trial registration clinicaltrials.gov ID: NCT03144505
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Affiliation(s)
- João P Magalhães
- Exercise and Health Laboratory, CIPER, Faculdade de Motricidade Humana, Universidade de Lisboa, Estrada da Costa, 1499-002, Cruz-Quebrada, Portugal
| | - Xavier Melo
- Exercise and Health Laboratory, CIPER, Faculdade de Motricidade Humana, Universidade de Lisboa, Estrada da Costa, 1499-002, Cruz-Quebrada, Portugal.,GCP Lab, Ginásio Clube Português, Lisbon, Portugal
| | - Inês R Correia
- Exercise and Health Laboratory, CIPER, Faculdade de Motricidade Humana, Universidade de Lisboa, Estrada da Costa, 1499-002, Cruz-Quebrada, Portugal
| | - Rogério T Ribeiro
- Education and Research Centre, APDP-Diabetes Portugal (APDP-ERC), Lisbon, Portugal
| | - João Raposo
- Education and Research Centre, APDP-Diabetes Portugal (APDP-ERC), Lisbon, Portugal
| | - Hélder Dores
- Military Forces Hospital, Lisbon, Portugal.,Light Hospital, Lisbon, Portugal.,NOVA Medical School, Lisbon, Portugal
| | - Manuel Bicho
- Genetics Laboratory Environmental Health Institute (ISAMB), Faculty of Medicine, University of Lisbon, Lisbon, Portugal.,Institute of Scientific Research Bento da Rocha Cabral, Lisbon, Portugal
| | - Luís B Sardinha
- Exercise and Health Laboratory, CIPER, Faculdade de Motricidade Humana, Universidade de Lisboa, Estrada da Costa, 1499-002, Cruz-Quebrada, Portugal.
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Dalan R, Goh S, Bing S, Seneviratna A, Phua CT. Proof-of-Concept Study for an Enhanced Surrogate Marker of Endothelial Function in Diabetes. Sci Rep 2018; 8:8649. [PMID: 29872121 PMCID: PMC5988679 DOI: 10.1038/s41598-018-26931-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2017] [Accepted: 05/21/2018] [Indexed: 11/30/2022] Open
Abstract
Diabetes mellitus affects distal small vessels earlier and to a greater extent than proximal vessels. Vascular disease starts from activation of the endothelial cells, which if prolonged may lead to reduced distensibility of the vessel when maximally stimulated. Hence a device which measures distensibility of a distal vessel should be a good biomarker for subclinical disease. We have developed a device capable of measuring reactive hyperaemia induced changes in the radial artery flow, volumetric changes and accompanying effects on the vessel wall. The measurement is based on the magnetic flux disturbance upon haemodynamic modulation as blood flows through a uniformly applied magnetic field, and generates what we have termed the radial artery maximum distensibility index (RA-MDI). In a proof-of-concept study we found significant correlations between RA-MDI and cardiovascular risk factors, scoring systems and carotid artery intima-media thickness. Further large scale prospective studies need to be conducted to ascertain the correlations with cardiovascular events.
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Affiliation(s)
- R Dalan
- Tan Tock Seng Hospital, National Healthcare Group, Singapore, Singapore.
- Lee Kong Chian School of Medicine, Nanyang Technological University, Singapore, Singapore.
- Yong Loo Lin School of Medicine, Singapore, Singapore.
| | - S Goh
- Nanyang Polytechnic, School of Engineering, Singapore, Singapore
| | - Sun Bing
- Tan Tock Seng Hospital, National Healthcare Group, Singapore, Singapore
| | - A Seneviratna
- Tan Tock Seng Hospital, National Healthcare Group, Singapore, Singapore
| | - C T Phua
- Nanyang Polytechnic, School of Engineering, Singapore, Singapore
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Kaneko R, Sawada S, Tokita A, Honkura R, Tamura N, Kodama S, Izumi T, Takahashi K, Uno K, Imai J, Yamada T, Miyachi Y, Hasegawa H, Kanai H, Ishigaki Y, Katagiri H. Serum cystatin C level is associated with carotid arterial wall elasticity in subjects with type 2 diabetes mellitus: A potential marker of early-stage atherosclerosis. Diabetes Res Clin Pract 2018; 139:43-51. [PMID: 29453992 DOI: 10.1016/j.diabres.2018.02.003] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/01/2017] [Revised: 01/29/2018] [Accepted: 02/01/2018] [Indexed: 11/29/2022]
Abstract
AIMS Detection of early-stage atherosclerosis in type 2 diabetes mellitus (T2DM) patients is important for preventing cardiovascular disease. A phased tracking method for evaluating arterial wall elasticity sensitively detects early-stage atherosclerosis. However, biochemical markers for early-stage atherosclerosis have yet to be established. METHODS This cross-sectional study enrolled 180 T2DM patients, who were classified as not having atherosclerosis according to the carotid intima-media thickness (IMT) criteria. We measured serum cystatin C, the estimated glomerular filtration rate (eGFR) and urinary albumin-to-creatinine ratio (ACR), and analyzed the associations between these markers and arterial wall elasticity (Eθ), IMT and the cardio-ankle velocity index. RESULTS Multiple linear regression analyses revealed that cystatin C was significantly associated with Eθ, while neither eGFR nor ACR showed an association. Furthermore, among the examined atherosclerotic markers, Eθ was most reliably associated with cystatin C. Additionally, the association between cystatin C and Eθ disappeared in the low elasticity subgroup, which included subjects in whom no atherosclerotic changes had yet been initiated. CONCLUSIONS In T2DM patients without apparent arterial wall thickening, cystatin C is strongly and independently associated with arterial wall elasticity, which reflects the degree of subclinical atherosclerosis. Thus, cystatin C is a potentially useful marker of early-stage atherosclerosis.
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Affiliation(s)
- Rei Kaneko
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Shojiro Sawada
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan.
| | - Ai Tokita
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Rieko Honkura
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Noriko Tamura
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Shinjiro Kodama
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Tomohito Izumi
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Kei Takahashi
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Kenji Uno
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Junta Imai
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Tetsuya Yamada
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Yukiya Miyachi
- Medical Systems Research and Development Center R&D Management Headquarters, FUJIFILM Corporation, Kaisei, Japan
| | - Hideyuki Hasegawa
- Graduate School of Science and Engineering, University of Toyama, Toyama, Japan
| | - Hiroshi Kanai
- Department of Electronic Engineering, Tohoku University Graduate School of Medicine, Sendai, Japan
| | - Yasushi Ishigaki
- Department of Internal Medicine, Division of Diabetes and Endocrinology, Iwate Medical University Hospital, Morioka, Japan
| | - Hideki Katagiri
- Department of Metabolism and Diabetes, Tohoku University Graduate School of Medicine, Sendai, Japan.
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Patel AK, Suri HS, Singh J, Kumar D, Shafique S, Nicolaides A, Jain SK, Saba L, Gupta A, Laird JR, Giannopoulos A, Suri JS. A Review on Atherosclerotic Biology, Wall Stiffness, Physics of Elasticity, and Its Ultrasound-Based Measurement. Curr Atheroscler Rep 2017; 18:83. [PMID: 27830569 DOI: 10.1007/s11883-016-0635-9] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
Functional and structural changes in the common carotid artery are biomarkers for cardiovascular risk. Current methods for measuring functional changes include pulse wave velocity, compliance, distensibility, strain, stress, stiffness, and elasticity derived from arterial waveforms. The review is focused on the ultrasound-based carotid artery elasticity and stiffness measurements covering the physics of elasticity and linking it to biological evolution of arterial stiffness. The paper also presents evolution of plaque with a focus on the pathophysiologic cascade leading to arterial hardening. Using the concept of strain, and image-based elasticity, the paper then reviews the lumen diameter and carotid intima-media thickness measurements in combined temporal and spatial domains. Finally, the review presents the factors which influence the understanding of atherosclerotic disease formation and cardiovascular risk including arterial stiffness, tissue morphological characteristics, and image-based elasticity measurement.
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Affiliation(s)
- Anoop K Patel
- Department of Computer Engineering, NIT, Kurukshetra, India
| | | | - Jaskaran Singh
- Department of Computer Engineering, NIT, Kurukshetra, India
| | - Dinesh Kumar
- Point-of-Care Devices, Global Biomedical Technologies, Inc., Roseville, CA, USA
| | | | | | - Sanjay K Jain
- Department of Computer Engineering, NIT, Kurukshetra, India
| | - Luca Saba
- Department of Radiology, University of Cagliari, Cagliari, Italy
| | - Ajay Gupta
- Radiology Department, Brain and Mind Research Institute, Weill Cornell Medical College, New York, NY, USA
| | - John R Laird
- UC Davis Vascular Center, University of California, Davis, CA, USA
| | | | - Jasjit S Suri
- Vascular Diagnostic Center, University of Cyprus, Nicosia, Cyprus. .,Monitoring and Diagnostic Division, AtheroPoint™, Roseville, CA, USA. .,Department of Electrical Engineering, University of Idaho (Affl.), Moscow, ID, USA. .,Diagnosis and Stroke Monitoring Division, AtheroPoint™, Roseville, CA, USA.
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Saito Y, Susukida I, Uzuka Y, Kanai H. Noninvasive early detection of anthracycline-induced cardiotoxicity in patients with hematologic malignancies using the phased tracking method. Cancer Med 2016; 5:2276-85. [PMID: 27484957 PMCID: PMC5055156 DOI: 10.1002/cam4.813] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2016] [Revised: 05/24/2016] [Accepted: 06/03/2016] [Indexed: 11/23/2022] Open
Abstract
Anthracyclines are among the most effective and widely used anticancer drugs; however, their use is limited by serious cardiotoxicity. Early detection is necessary to prevent the high mortality rate associated with heart failure (HF). We evaluated cardiac function in 142 patients using conventional echocardiography and the phased tracking method (PTM), which was measured using the minute vibration and the rapid motion components, neither of which is recognized in standard M-mode nor in tissue Doppler imaging. For systolic function comparison, we compared left ventricular ejection fraction (LVEF) in conventional echocardiography with the average velocity of ventricular septum myocytes (Vave ) in the PTM. The Vave of 12 healthy volunteers was 1.5 (m/s)/m or more. At baseline of 99 patients, there was a positive correlation between LVEF and Vave in all patients. There were no significant differences in baseline cardiac function between patients with and without HF. There was a negative correlation between the cumulative anthracycline dose and LVEF or Vave among all patients. We determined that Vave 1.5 (m/s)/m was equivalent to LVEF 60%, 1.25 (m/s)/m to 55%, and 1.0 (m/s)/m to 50%. During the follow-up period, there was a pathological decrease in LVEF (<55%) and Vave (<1.25 m/s/m) in patients with HF; decreases in Vave were detected significantly earlier than those in LVEF (P < 0.001). When Vave declined to 1.5 (m/s)/m or less, careful continuous observation and cardiac examination was required. When Vave further declined to 1.0 (m/s)/m or lower, chemotherapy was postponed or discontinued; thus, serious drug-induced cardiomyopathy was avoided in patients who did not relapse. The PTM was superior to echocardiography for early, noninvasive detection and intermediate-term monitoring of left ventricle systolic function associated with anthracycline chemotherapy, among patients with hematologic malignancies. The PTM was an effective laboratory procedure to avoid the progression to serious cardiomyopathy.
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Affiliation(s)
- Yoshiko Saito
- Department of Food and Nutrition, Miyagigakuin Women's University, Sendai, Japan. ,
- Sendai Blood Disease Center, Sendai, Japan. ,
| | | | | | - Hiroshi Kanai
- Graduate School of Biomedical Engineering and the Graduate School of Engineering, Tohoku University, Sendai, Japan.
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