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Cross-sectional and prospective associations between homocysteine and a frailty index: A post-hoc analysis of the multidomain Alzheimer's prevention trial (MAPT). Exp Gerontol 2023; 172:112066. [PMID: 36549548 DOI: 10.1016/j.exger.2022.112066] [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: 09/23/2022] [Revised: 12/12/2022] [Accepted: 12/14/2022] [Indexed: 12/24/2022]
Abstract
BACKGROUND Homocysteine (Hcy) has been associated with several health problems, including reduced physical capacity. No study appears to have looked at the role of Hcy values longitudinally on physical capacity deterioration in older adults. The objective is to examine cross-sectional and prospective associations between Hcy values and frailty in the elderly and investigate Hcy potential association with the onset of frailty. METHODS 769 community-dwelling older adults from the MAPT study were recruited for this study. Total Hcy was measured at baseline. Frailty was evaluated at 5 different collection timepoints: baseline, 6-month, 1-, 2-, and 3-year using a frailty index (FI) composed of 19 items. Linear regressions adjusted for all the confounders (age, gender, educational level, MAPT group allocation and Omega-3) were performed to examine the cross-sectional associations of homocysteine values with the FI. A cox model was used to test the association of Hcy with the onset of frailty. RESULTS Mean Hcy values (15.9 ± 5.6 μmol\L) were obtained from 769 community-dwelling adults (75.7 ± 4.6 years old). After adjustments, a significant (β = 0.002, (00002-0.003)) and positive association between baseline Hcy values and FI was found (ß = 0.002). Additionally, higher values of Hcy were associated with a worsening of FI after 3 years (ß = 0.002, p = 0.003). A significant association between baseline Hcy values and the likelihood of developing frailty was discovered by incident event analysis (HR: 1.04 (1.01-1.06), p = 0.004). CONCLUSION High levels of Hcy are associated with the fragility process in community-dwelling older adults.
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Zhang H, Hao M, Li Y, Jiang X, Wang M, Chen J, Wang X, Sun X. Glomerular filtration rate by different measures and albuminuria are associated with risk of frailty: the Rugao Longitudinal Ageing Study. Aging Clin Exp Res 2022; 34:2703-2711. [PMID: 36260213 DOI: 10.1007/s40520-022-02245-2] [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: 02/22/2022] [Accepted: 08/29/2022] [Indexed: 11/01/2022]
Abstract
BACKGROUND AND AIM A decreased estimated glomerular filtration rate (eGFR) is associated with frailty, but the association between kidney function and frailty using multidimensional assessments has not been entirely examined. We aimed to investigate whether albuminuria and the eGFR using different biomarkers were associated with frailty. METHODS A total of 1830 older adults were included. Kidney function was assessed by the eGFR (based on combined creatinine-cystatin C [eGFRcr-cys]) and β2-microglobulin [eGFRB2M]) and urine albumin-creatinine ratio (UACR). Frailty was measured by the Fried phenotype (FP) and frailty index (FI). Logistic regression models were used to investigate cross-sectional and longitudinal associations of baseline kidney measures with prevalent and incident frailty. RESULTS At baseline, kidney function was associated with prevalent frailty. During the 2-year follow-up, a decreased eGFR (per 10 units) was associated with an increased risk of incident frailty using the FP (eGFRcr-cys: OR 1.18, 95% CI 1.03-1.35; eGFRB2M: OR 1.14, 95% CI 1.02-1.29, respectively) and FI (eGFRB2M: OR 1.18, 95% CI 1.04-1.65). An increased logUACR was associated with a higher risk of incident frailty using the FP (OR 1.18, 95% CI 1.03-1.35). Additionally, individuals with chronic kidney disease (CKD) had a higher risk of incident frailty using the FP (eGFRcr-cys: OR 2.13, 95% CI 1.28-3.47; eGFRB2M: OR 1.58, 95% CI 1.10-2.29, respectively) and FI (eGFRcr-cys: OR 1.97, 95% CI 1.15-3.32; eGFRB2M: OR 1.51, 95% CI 1.03-2.24, respectively). CONCLUSION Kidney function decline and CKD were associated with an increased risk of prevalent and incident frailty in older adults. Physicians should pay more attention to monitoring frailty status in older adults with CKD, even in those with kidney function decline.
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Affiliation(s)
- Hui Zhang
- Human Phenome Institute and National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China.,Fudan University-the People's Hospital of Rugao Joint Research Institute of Longevity and Aging, Rugao, Jiangsu, China.,National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China
| | - Meng Hao
- Human Phenome Institute and National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China
| | - Yi Li
- Human Phenome Institute and National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China
| | - Xiaoyan Jiang
- Key Laboratory of Arrhythmias, Ministry of Education, Department of Pathology and Pathophysiology, School of Medicine, Tongji University, Shanghai, China
| | - Mengjing Wang
- National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China.,Department of Nephrology, Huashan Hospital, Fudan University, Shanghai, China
| | - Jing Chen
- National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China.,Department of Nephrology, Huashan Hospital, Fudan University, Shanghai, China
| | - Xiaofeng Wang
- Human Phenome Institute and National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China.,Fudan University-the People's Hospital of Rugao Joint Research Institute of Longevity and Aging, Rugao, Jiangsu, China.,National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China
| | - Xuehui Sun
- Human Phenome Institute and National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China. .,Fudan University-the People's Hospital of Rugao Joint Research Institute of Longevity and Aging, Rugao, Jiangsu, China. .,National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China.
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Zhang H, Shen H, Gong W, Sun X, Jiang X, Wang J, Jin L, Xu X, Luo D, Wang X. Plasma homocysteine and macular thickness in older adults-the Rugao Longevity and Aging Study. Eye (Lond) 2022; 36:1050-1060. [PMID: 33976397 PMCID: PMC9046221 DOI: 10.1038/s41433-021-01549-3] [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: 09/03/2020] [Revised: 03/08/2021] [Accepted: 04/09/2021] [Indexed: 11/09/2022] Open
Abstract
OBJECTIVES To determine the association of plasma homocysteine levels with retinal layer thickness in a large community cohort of older adults. METHODS The Rugao Longevity and Ageing Study is an observational, prospective and community-based cohort study. A total of 989 older adults who underwent spectral-domain optical coherence tomography (SD-OCT) were included and analyzed. Foveal, macular retinal nerve fibre layer (mRNFL) and ganglion cell layer plus inner plexiform layer (GC-IPL) thicknesses were measured by SD-OCT. Plasma homocysteine levels were measured using chemiluminescence immunoassay. Linear regression analyses were performed to evaluate the relationship between plasma homocysteine and retinal layer thickness while controlling for confounding factors. RESULTS Of the 989 participants, 500 (50.56%) were men. The mean age was 78.26 (4.58) years, and the mean plasma homocysteine level was 16.38 (8.05) μmol/L. In multivariable analyses, each unit increase in plasma homocysteine was associated with an 8.84 × 10-2 (95% CI: -16.54 × 10-2 to -1.15 × 10-2, p = 0.032) μm decrease in the average inner thickness of the GC-IPL after controlling for confounding factors. The association remained significant even in participants without major cardiovascular disease or diabetes (β = -10.33 × 10-2, 95% CI: -18.49 × 10-2 to -2.18 × 10-2, p = 0.013). No significant associations of plasma homocysteine levels with macular thickness or mRNFL were found in primary and sensitivity analyses (p > 0.05). CONCLUSIONS Increased plasma homocysteine levels are associated with a thinner GC-IPL. Plasma homocysteine may be a risk factor for thinner retinas in older adults.
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Affiliation(s)
- Hui Zhang
- grid.8547.e0000 0001 0125 2443State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences, Fudan University, Shanghai, China ,grid.8547.e0000 0001 0125 2443Human Phenome Institute, Fudan University, Shanghai, China
| | - Hangqi Shen
- grid.16821.3c0000 0004 0368 8293Department of Ophthalmology, Shanghai General Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Key Laboratory of Ocular Fundus Diseases, Shanghai, China ,Shanghai Engineering Center for Visual Science and Photomedicin, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Engineering Center for Precise Diagnosis and Treatment of Eye Diseases, Shanghai, China ,grid.412478.c0000 0004 1760 4628National Clinical Research Center for Eye Diseases, Shanghai, China
| | - Wei Gong
- grid.16821.3c0000 0004 0368 8293Department of Ophthalmology, Shanghai General Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Key Laboratory of Ocular Fundus Diseases, Shanghai, China ,Shanghai Engineering Center for Visual Science and Photomedicin, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Engineering Center for Precise Diagnosis and Treatment of Eye Diseases, Shanghai, China ,grid.412478.c0000 0004 1760 4628National Clinical Research Center for Eye Diseases, Shanghai, China
| | - Xuehui Sun
- grid.8547.e0000 0001 0125 2443State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences, Fudan University, Shanghai, China ,grid.8547.e0000 0001 0125 2443Human Phenome Institute, Fudan University, Shanghai, China
| | - Xiaoyan Jiang
- grid.24516.340000000123704535Key Laboratory of Arrhythmias of the Ministry of Education of China, Tongji University School of Medicine, Shanghai, China
| | - Jiucun Wang
- grid.8547.e0000 0001 0125 2443State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences, Fudan University, Shanghai, China ,grid.8547.e0000 0001 0125 2443Human Phenome Institute, Fudan University, Shanghai, China
| | - Li Jin
- grid.8547.e0000 0001 0125 2443State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences, Fudan University, Shanghai, China ,grid.8547.e0000 0001 0125 2443Human Phenome Institute, Fudan University, Shanghai, China
| | - Xun Xu
- grid.16821.3c0000 0004 0368 8293Department of Ophthalmology, Shanghai General Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Key Laboratory of Ocular Fundus Diseases, Shanghai, China ,Shanghai Engineering Center for Visual Science and Photomedicin, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Engineering Center for Precise Diagnosis and Treatment of Eye Diseases, Shanghai, China ,grid.412478.c0000 0004 1760 4628National Clinical Research Center for Eye Diseases, Shanghai, China
| | - Dawei Luo
- grid.16821.3c0000 0004 0368 8293Department of Ophthalmology, Shanghai General Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Key Laboratory of Ocular Fundus Diseases, Shanghai, China ,Shanghai Engineering Center for Visual Science and Photomedicin, Shanghai, China ,grid.412478.c0000 0004 1760 4628Shanghai Engineering Center for Precise Diagnosis and Treatment of Eye Diseases, Shanghai, China ,grid.412478.c0000 0004 1760 4628National Clinical Research Center for Eye Diseases, Shanghai, China
| | - Xiaofeng Wang
- grid.8547.e0000 0001 0125 2443State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences, Fudan University, Shanghai, China ,grid.8547.e0000 0001 0125 2443Human Phenome Institute, Fudan University, Shanghai, China ,grid.413597.d0000 0004 1757 8802Shanghai Key Laboratory of Clinical Geriatric Medicine and Huadong Hospital Clinical Research Center for Geriatric Medicine, Shanghai, China ,grid.8547.e0000 0001 0125 2443National Clinical Research Center for Aging and Medicine, Huashan Hospital, Fudan University, Shanghai, China
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Guaita A, Brunelli L, Davin A, Poloni TE, Vaccaro R, Gagliardi S, Pansarasa O, Cereda C. Homocysteine, Folic Acid, Cyanocobalamin, and Frailty in Older People: Findings From the “Invece. Ab” Study. Front Physiol 2021; 12:775803. [PMID: 34975530 PMCID: PMC8717775 DOI: 10.3389/fphys.2021.775803] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/14/2021] [Accepted: 11/17/2021] [Indexed: 11/30/2022] Open
Abstract
Frailty is an important age-related syndrome associated with several adverse health outcomes. Its biological basis is undefined. Raised plasma homocysteine (HOcy) is an established risk factor for cardiovascular disease, dementia, cognitive impairment, and mortality, but little is known about the possible role of plasma HOcy, cyanocobalamin (B12), and folate (FO levels in the development of frailty. Our first aim was to explore the possible association between frailty and plasma concentrations of HOcy, FO, and B12 in a cohort of community-dwelling older people. The second was to assess the influence of these metabolic factors on six-year incidence of frailty in the 875 individuals eligible for inclusion in this study (those with a full follow-up dataset). This research is based on data from three waves – 2012 (herein taken as baseline), 2014, and 2018 – of a longitudinal study (InveCe.Ab) in which non-frail men and women born between 1935 and 1939 underwent multidimensional assessments. Frailty was estimated using a deficit accumulation-based frailty index (FI). HOcy concentration was significantly positively correlated with FI at all timepoints, while B12 and FO levels were not. Plasma concentration of HOcy emerged as a predictor of six-year cumulative incidence of frailty, independent of age, sex, and education, while B12 and FO levels showed no relationship with frailty incidence. Individuals with plasma HOcy in the top quintile showed five months less frailty-free survival (HR 1.487; 95% CI: 1.063–2.078), regardless of age, sex, and education. These results demonstrate that higher HOcy is a risk factor for frailty onset in older adults.
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Affiliation(s)
- Antonio Guaita
- Epidemiological and Neuropathological Laboratories, Golgi Cenci Foundation, Abbiategrasso, Italy
- *Correspondence: Antonio Guaita,
| | - Laura Brunelli
- Department of Environmental Health Sciences, Istituto di Ricerche Farmacologiche Mario Negri IRCCS, Milan, Italy
| | - Annalisa Davin
- Epidemiological and Neuropathological Laboratories, Golgi Cenci Foundation, Abbiategrasso, Italy
| | - Tino Emanuele Poloni
- Epidemiological and Neuropathological Laboratories, Golgi Cenci Foundation, Abbiategrasso, Italy
| | - Roberta Vaccaro
- Epidemiological and Neuropathological Laboratories, Golgi Cenci Foundation, Abbiategrasso, Italy
| | - Stella Gagliardi
- Genomic and Post-Genomic Unit, IRCCS Mondino Foundation, Pavia, Italy
| | - Orietta Pansarasa
- Genomic and Post-Genomic Unit, IRCCS Mondino Foundation, Pavia, Italy
| | - Cristina Cereda
- Epidemiological and Neuropathological Laboratories, Golgi Cenci Foundation, Abbiategrasso, Italy
- Department of Woman, Mother and Newborn, ASST Fatebenefratelli Sacco, “V. Buzzi” Children Hospital, Milan, Italy
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Aslan Koşar P, Tepebaşı MY, Şengeze N, İlhan İ, Büyükbayram Hİ, Kutluhan S. Effect of methylenetetrahydrofolate reductase gene polymorphisms and oxidative stress in silent brain infarction. Mol Biol Rep 2021; 48:3955-3962. [PMID: 34019199 DOI: 10.1007/s11033-021-06395-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/25/2021] [Accepted: 04/30/2021] [Indexed: 11/28/2022]
Abstract
Ischemic infarctions occur under the influence of genetic and environmental factors. In our study, the role of ischemia-modified albumin and thiol balance, which are new markers in determining oxidative damage together with MTHFR gene polymorphisms and homocysteine levels, in the development of SBI was investigated. White matter lesions in the magnetic resonance imaging (MRI) results of the patients were evaluated according to the Fazekas scale and divided into groups (Grade 0, 1, 2, and 3). Homocysteine, folate, B12, IMA, total thiol, and native thiol were measured by biochemical methods. The polymorphisms in MTHFR genes were investigated by the RT-PCR method. According to our results, a significant difference was found between the groups in age, homocysteine, folate, IMA, total thiol, and native thiol parameters (p < 0.05). When we compared the groups in terms of genotypes of the C677T gene, we found a significant difference in TT genotype between grades 0/3 and 1/3 (p < 0.05). We determined that homocysteine and IMA levels increased and folate levels decreased in CC/TT and CT/TT genotypes in the C677T gene (p < 0.05). Considering our results, the observation of homocysteine and IMA changes at the genotype level of the MTHFR C677T gene and between the groups, and the deterioration of thiol balance between the groups suggested that these markers can be used in the diagnosis of silent brain infarction.
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Affiliation(s)
- Pınar Aslan Koşar
- Department of Medical Biology, University of Süleyman Demirel, Isparta, Turkey
| | | | - Nihat Şengeze
- Department of Neurology, University of Süleyman Demirel, Isparta, Turkey
| | - İlter İlhan
- Department of Medical Biochemistry, University of Süleyman Demirel, Isparta, Turkey
| | | | - Süleyman Kutluhan
- Department of Neurology, University of Süleyman Demirel, Isparta, Turkey
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Yan W, Cao Y, Zhen P, Ji D, Chai J, Xue K, Dai H, Wang W. Decreased autophagy of vascular smooth muscle cells was involved in hyperhomocysteinemia-induced vascular ageing. Clin Exp Pharmacol Physiol 2021; 48:524-533. [PMID: 33325046 DOI: 10.1111/1440-1681.13442] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2020] [Revised: 06/20/2020] [Accepted: 11/18/2020] [Indexed: 11/30/2022]
Abstract
Ageing and hyperhomocysteinemia (HHcy) are important risk factors for cardiovascular diseases (CVDs). HHcy affects the occurrence of vascular diseases in the elderly. So far, the mechanism of HHcy-induced vascular ageing remains largely unknown. Autophagy level is significantly reduced in the ageing process, and restoring impaired autophagy to a normal state may be one of the possible ways to extend the expected longevity and lifespan in the future. In this study, we established the HHcy rat model by feeding a 2.5% methionine diet. Small animal ultrasound and the tail-cuff method indicated that the vascular pulse wave velocity (PWV) and pulse pressure (PP) of HHcy rats were increased significantly compared with the control group. Vascular morphology and structure have been changed in HHcy rats, including lumen dilation, increased collagen fibre deposition and increased p53/p21/p16 expression. In vitro, under the stimulation of homocysteine (500 μmol/L, 24 hours), the rat vascular smooth muscle cells (VSMCs) presented senescence, which was characterized by the increased expression of ageing-related markers, such as p16, p21 and p53 as well as increased senescence-associated beta-galactosidase (SA-β-gal) activity. Meanwhile, the autophagy level was decreased both in vivo and in vitro, shown as the increased level of autophagy substrate p62 and the reduced level of autophagy marker LC3 II/I in the thoracic aorta of HHcy rats and in Hcy-treated VSMCs, respectively. The senescence phenotype of VSMCs was reversed by increased autophagy levels induced by rapamycin. Our findings indicate that decreased autophagy of VSMCs is involved in hyperhomocysteinemia-induced vascular ageing.
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Affiliation(s)
- Wenjing Yan
- Department of Physiology and Pathophysiology, School of Basic Medical Sciences, Capital Medical University, Beijing, China
| | - Yan Cao
- Department of Physiology and Pathophysiology, School of Basic Medical Sciences, Capital Medical University, Beijing, China
| | - Panpan Zhen
- Department of Pathology, Beijing Luhe Hospital, Capital Medical University, Beijing, China
| | - Dengyu Ji
- Department of Physiology and Pathophysiology, School of Basic Medical Sciences, Capital Medical University, Beijing, China
| | - Jiayin Chai
- Department of Physiology and Pathophysiology, School of Basic Medical Sciences, Capital Medical University, Beijing, China
| | - Ke Xue
- Department of Physiology and Pathophysiology, School of Basic Medical Sciences, Capital Medical University, Beijing, China
| | - Hongyan Dai
- Department of Cardiology, Qingdao Municipal Hospital, Qingdao, China
| | - Wen Wang
- Department of Physiology and Pathophysiology, School of Basic Medical Sciences, Capital Medical University, Beijing, China
- Beijing Key Laboratory of Metabolic Disorders Related Cardiovascular Diseases, Capital Medical University, Beijing, China
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Urzi F, Pokorny B, Buzan E. Pilot Study on Genetic Associations With Age-Related Sarcopenia. Front Genet 2021; 11:615238. [PMID: 33505434 PMCID: PMC7831746 DOI: 10.3389/fgene.2020.615238] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/08/2020] [Accepted: 12/14/2020] [Indexed: 01/19/2023] Open
Abstract
Despite strong evidence of an inheritable component of muscle phenotypes, little progress has been made in identifying the specific genetic factors involved in the development of sarcopenia. Even rarer are studies that focus on predicting the risk of sarcopenia based on a genetic risk score. In the present study, we tested the single and combined effect of seven candidate gene variants on the risk of sarcopenia. Single nucleotide polymorphisms in candidate genes were genotyped using the KASP assay. We examined 190 older adults that were classified as non-sarcopenic or sarcopenic according to the diagnostic criteria of the European Working Group on Sarcopenia in Older People. Sarcopenia was associated with Methylenetetrahydrofolate reductase, Alpha-actinin-3, and Nuclear respiratory factor 2 genotypes. The combined effect of all three polymorphisms explained 39% of the interindividual variation in sarcopenia risk. Our results suggest that the single and combined effect of Methylenetetrahydrofolate reductase, Alpha-actinin-3, and Nuclear respiratory factor 2 polymorphism is associated with sarcopenia risk in older adults. Nowadays, as the population is getting older and older, great efforts are being made to research the etiology, diagnosis and treatment of sarcopenia. At the same time, small progress has been made in understanding the genetic etiology of sarcopenia. Given the importance of research on this disease, further genetic studies are needed to better understand the genetic risk underlying sarcopenia. We believe that this small-scale study will help to demonstrate that there is still much to be discovered in this field.
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Affiliation(s)
- Felicita Urzi
- Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Koper, Slovenia
| | - Boštjan Pokorny
- Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Koper, Slovenia.,Environmental Protection College, Velenje, Slovenia
| | - Elena Buzan
- Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Koper, Slovenia.,Environmental Protection College, Velenje, Slovenia
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