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Hsu SY, Rau CS, Tsai CH, Chou SE, Su WT, Hsieh CH. The Influence of Hyponatremia and Hypokalemia on the Risk of Fractures in Various Anatomical Regions among Adult Trauma Patients: A Propensity Score-Matched Analysis. Diagnostics (Basel) 2024; 14:355. [PMID: 38396394 PMCID: PMC10888465 DOI: 10.3390/diagnostics14040355] [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: 12/05/2023] [Revised: 01/30/2024] [Accepted: 02/01/2024] [Indexed: 02/25/2024] Open
Abstract
BACKGROUND Hyponatremia and hypokalemia are common electrolyte imbalances in trauma patients and have been identified to be risk factors for a fall. In addition, hyponatremia was reported to be related to osteoporosis and fragility fractures, while the association between hypokalemia and osteoporosis has only been reported in rare case reports. This study investigated the impact of hyponatremia and hypokalemia on the incidence of fractures in various body regions of adult trauma patients, using the propensity score-matched patient cohort to reduce the influence of patients' baseline characteristics. METHODS The study analyzed data from 11,173 hospitalized adult trauma patients treated from 1 January 1998, to 31 December 2022. The study included 1968 patients with hyponatremia and 9205 without, and 1986 with hypokalemia and 9187 without. Different 1:1 propensity score-matched cohorts were generated to create the 1903 pairings of patients with or without hyponatremia, 1977 pairings of patients with or without hypokalemia, and 380 pairing of patients with both hyponatremia and hypokalemia vs. normal control patients. Analysis was conducted on the incidence of fracture in various anatomic regions. RESULTS Hyponatremic patients had increased odds of thoracic vertebral fracture [odds ratio (95% confidence interval) 1.63 (1.10-2.42), p = 0.014], pelvic fracture [2.29 (1.12-4.67), p = 0.019], and femoral fracture [1.28 (1.13-1.45), p < 0.001] but decreased odds of radial and patella fractures. Hypokalemic patients showed no significant differences in fracture risk except for a decreased likelihood of radial fractures. The patients with both hyponatremia and hypokalemia showed a decreased likelihood of radial fractures and patella fractures. CONCLUSION Hyponatremia may have a greater impact on the occurrence of bone fractures than hypokalemia in trauma patients who have suffered a fall. Electrolyte abnormalities should be taken into account while assessing the risk of fractures in trauma patients.
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Affiliation(s)
- Shiun-Yuan Hsu
- Department of Trauma Surgery, Kaohsiung Chang Gung Memorial Hospital, Chang Gung University College of Medicine, Kaohsiung 83301, Taiwan; (S.-Y.H.); (C.-H.T.); (S.-E.C.); (W.-T.S.)
| | - Cheng-Shyuan Rau
- Department of Neurosurgery, Kaohsiung Chang Gung Memorial Hospital, Chang Gung University College of Medicine, Kaohsiung 83301, Taiwan;
| | - Ching-Hua Tsai
- Department of Trauma Surgery, Kaohsiung Chang Gung Memorial Hospital, Chang Gung University College of Medicine, Kaohsiung 83301, Taiwan; (S.-Y.H.); (C.-H.T.); (S.-E.C.); (W.-T.S.)
| | - Sheng-En Chou
- Department of Trauma Surgery, Kaohsiung Chang Gung Memorial Hospital, Chang Gung University College of Medicine, Kaohsiung 83301, Taiwan; (S.-Y.H.); (C.-H.T.); (S.-E.C.); (W.-T.S.)
| | - Wei-Ti Su
- Department of Trauma Surgery, Kaohsiung Chang Gung Memorial Hospital, Chang Gung University College of Medicine, Kaohsiung 83301, Taiwan; (S.-Y.H.); (C.-H.T.); (S.-E.C.); (W.-T.S.)
| | - Ching-Hua Hsieh
- Department of Trauma Surgery, Kaohsiung Chang Gung Memorial Hospital, Chang Gung University College of Medicine, Kaohsiung 83301, Taiwan; (S.-Y.H.); (C.-H.T.); (S.-E.C.); (W.-T.S.)
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Burka AT, Geiger DW. Geriatric Pharmacotherapy Case Series: Thiazide-Induced Hypokalemia. Sr Care Pharm 2022; 37:605-611. [DOI: 10.4140/tcp.n.2022.605] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/07/2022]
Abstract
Introduction The patient was a 72-year-old man with a history of hypertension, hyperlipidemia, benign prostatic hyperplasia, and oropharyngeal cancer. His home medications include amlodipine, atorvastatin, hydrochlorothiazide, and tamsulosin. He lives alone and eats a soft,
bland, nutrient-poor diet. During his annual primary care visit, he is found to have a serum potassium level of 3.3 mEq/L (reference range 3.5-5.0). Assessment The use of hydrochlorothiazide, a thiazide diuretic, as well as his low consumption of dietary potassium, have
likely contributed to his mild, asymptomatic hypokalemia. Outcome The patient’s serum potassium normalizes following replenishment with a 10 mEq microencapsulated potassium chloride (KCl) extended release (ER) tablet three times a day with meals for one week. A registered
dietitian was consulted to provide recommendations for a well-balanced diet, consistent with his dietary texture needs. Conclusions Hypokalemia is a commonly encountered electrolyte disorder, occurring in about 3 to 4% of community-dwelling elders.1 Though asymptomatic
hypokalemia is often an incidental finding, it is associated with an increased risk of major adverse cardiovascular events if left untreated and thus should be promptly corrected when discovered.2
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Affiliation(s)
- Abigail T. Burka
- Lipscomb University College of Pharmacy and Health Sciences, Nashville, Tennessee
| | - Daniel W. Geiger
- Lipscomb University College of Pharmacy and Health Sciences, Nashville, Tennessee
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Jomova K, Makova M, Alomar SY, Alwasel SH, Nepovimova E, Kuca K, Rhodes CJ, Valko M. Essential metals in health and disease. Chem Biol Interact 2022; 367:110173. [PMID: 36152810 DOI: 10.1016/j.cbi.2022.110173] [Citation(s) in RCA: 159] [Impact Index Per Article: 79.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2022] [Revised: 08/10/2022] [Accepted: 09/05/2022] [Indexed: 11/03/2022]
Abstract
In total, twenty elements appear to be essential for the correct functioning of the human body, half of which are metals and half are non-metals. Among those metals that are currently considered to be essential for normal biological functioning are four main group elements, sodium (Na), potassium (K), magnesium (Mg), and calcium (Ca), and six d-block transition metal elements, manganese (Mn), iron (Fe), cobalt (Co), copper (Cu), zinc (Zn) and molybdenum (Mo). Cells have developed various metallo-regulatory mechanisms for maintaining a necessary homeostasis of metal-ions for diverse cellular processes, most importantly in the central nervous system. Since redox active transition metals (for example Fe and Cu) may participate in electron transfer reactions, their homeostasis must be carefully controlled. The catalytic behaviour of redox metals which have escaped control, e.g. via the Fenton reaction, results in the formation of reactive hydroxyl radicals, which may cause damage to DNA, proteins and membranes. Transition metals are integral parts of the active centers of numerous enzymes (e.g. Cu,Zn-SOD, Mn-SOD, Catalase) which catalyze chemical reactions at physiologically compatible rates. Either a deficiency, or an excess of essential metals may result in various disease states arising in an organism. Some typical ailments that are characterized by a disturbed homeostasis of redox active metals include neurological disorders (Alzheimer's, Parkinson's and Huntington's disorders), mental health problems, cardiovascular diseases, cancer, and diabetes. To comprehend more deeply the mechanisms by which essential metals, acting either alone or in combination, and/or through their interaction with non-essential metals (e.g. chromium) function in biological systems will require the application of a broader, more interdisciplinary approach than has mainly been used so far. It is clear that a stronger cooperation between bioinorganic chemists and biophysicists - who have already achieved great success in understanding the structure and role of metalloenzymes in living systems - with biologists, will access new avenues of research in the systems biology of metal ions. With this in mind, the present paper reviews selected chemical and biological aspects of metal ions and their possible interactions in living systems under normal and pathological conditions.
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Affiliation(s)
- Klaudia Jomova
- Department of Chemistry, Faculty of Natural Sciences and Informatics, Constantine The Philosopher University in Nitra, 949 01, Nitra, Slovakia
| | - Marianna Makova
- Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, 812 37, Bratislava, Slovakia
| | - Suliman Y Alomar
- King Saud University, Zoology Department, College of Science, Riyadh, 11451, Saudi Arabia
| | - Saleh H Alwasel
- King Saud University, Zoology Department, College of Science, Riyadh, 11451, Saudi Arabia
| | - Eugenie Nepovimova
- Department of Chemistry, Faculty of Science, University of Hradec Kralove, 50003 Hradec Kralove, Czech Republic
| | - Kamil Kuca
- Department of Chemistry, Faculty of Science, University of Hradec Kralove, 50003 Hradec Kralove, Czech Republic; Biomedical Research Center, University Hospital Hradec Kralove, Hradec Kralove, Czech Republic
| | | | - Marian Valko
- Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, 812 37, Bratislava, Slovakia; King Saud University, Zoology Department, College of Science, Riyadh, 11451, Saudi Arabia.
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Chu T, Wu Z, Xu A. Association between preoperative hypokalemia and postoperative complications in elderly patients: a retrospective study. BMC Geriatr 2022; 22:743. [PMID: 36096723 PMCID: PMC9469624 DOI: 10.1186/s12877-022-03445-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/04/2022] [Accepted: 09/08/2022] [Indexed: 11/18/2022] Open
Abstract
Background Hypokalemia is a common form of electrolyte disorder, which has a higher incidence in hospitalized patients and is closely related to perioperative complications and prognosis. Due to decreased skeletal muscle mass which causes total body potassium reduction, and increased comorbidities, the elderly are more susceptible to hypokalemia. Objective To investigate preoperative hypokalemia in elderly patients and its effect on postoperative complications. Methods Data were retrospectively collected from the elderly patients who underwent elective surgery from April 2018 to March 2019 and had preoperative blood gas data available. Patients, with age 60 to 100 years, were divided into hypokalemia group (potassium level < 3.5 mmol/L) and normokalemia group (potassium level between 3.5 and 5.5 mmol/L) according to preoperative blood gas analysis. Hypokalemia can be divided into mild (potassium level 3.0 to 3.5 mmol/L), moderate (potassium level 2.5 to 3.0 mmol/L) and severe (potassium level < 2.5 mmol/L), respectively. The risk factors of preoperative hypokalemia and its impact on postoperative complications and prognosis were primary outcomes. Secondary outcomes included postanesthesia care unit (PACU) stay time and hospital length of stay (LOS). Results Of 987 participants, 436 (44.17%) developed preoperative hypokalemia, among them 357 (81.88%) mild, 87 (16.74%) moderate and 6 (1.38%) severe. Multivariate logistic regression showed that female gender (OR, 1.851; 95% CI, 1.415–2.421), pre-existing hypokalemia at admission (OR, 4.498; 95% CI, 2.506–8.071), and oral laxative twice or more (OR, 1.823; 95% CI, 1.266–2.624) are risk factors of preoperative hypokalemia. Gynecological and biliopancreatic surgery were more common in hypokalemia group than normokalemia group (P < 0.001, P < 0.05). There was no significant difference in postoperative complications, PACU stay time, LOS, and 30-day mortality between the two groups (all P > 0.05). Conclusions Female gender, pre-existing hypokalemia at admission, and oral laxative twice or more are independent risk factors for preoperative hypokalemia in elderly patients. However, postoperative complications and 30-day mortality were not increased, which may be related to monitoring blood gas analysis and prompt correction of potassium levels during surgery. Supplementary Information The online version contains supplementary material available at 10.1186/s12877-022-03445-1.
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Affiliation(s)
- Tiantian Chu
- Department of Anesthesiology and Pain Medicine, Tongji Hospital, Huazhong University of Science and Technology, 1095 Jiefang Avenue, Wuhan, 430030, China
| | - Zongfang Wu
- Department of Anesthesiology and Pain Medicine, Tongji Hospital, Huazhong University of Science and Technology, 1095 Jiefang Avenue, Wuhan, 430030, China
| | - Aijun Xu
- Department of Anesthesiology and Pain Medicine, Tongji Hospital, Huazhong University of Science and Technology, 1095 Jiefang Avenue, Wuhan, 430030, China.
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Kc M, Olson APJ, Wang Q, Lim N. Unexpected clinical outcomes following the implementation of a standardised order set for hepatic encephalopathy. BMJ Open Gastroenterol 2021; 8:bmjgast-2021-000621. [PMID: 33866310 PMCID: PMC8055129 DOI: 10.1136/bmjgast-2021-000621] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/10/2021] [Revised: 03/14/2021] [Accepted: 03/27/2021] [Indexed: 11/08/2022] Open
Abstract
Objective We evaluated the effect on clinical outcomes of implementing a standardised inpatient order set for patients admitted with hepatic encephalopathy (HE). Methods A retrospective review of patients with cirrhosis admitted with HE. Hospital admissions for HE for which the electronic health record (EHR) order set was used were compared with admissions where the order set was not used. Primary outcome was length of hospital stay (LOS). Secondary outcomes were 30-day readmissions, in-hospital complications, in-hospital and 90-day mortality. Results There were 341 patients with 980 admissions over the study period: 263 patients with 736 admissions where the order set was implemented, and 78 patients with 244 admissions where the order set was not implemented. Median LOS was 4 days (IQR 3–8) in the order set group compared with 3 days (IQR 2–7) (p<0.001); incidence rate ratio 1.37 (95% CI 1.20 to 1.57), p<0.001. 30-day readmissions rate was 56% in the order set group compared with 40%, p=0.01; OR for readmission was 1.88 (95% CI 1.04 to 3.43), p=0.04. Hypokalaemia occurred in 46% of admissions with order set use compared with 36%, when the order set was not used; p=0.003, OR 1.72 (95% CI 1.22 to 2.43), p=0.002. No significant differences were seen for in-hospital mortality and 90-day mortality. Conclusion Implementation of an inpatient EHR order set for use in patients with HE was associated with unexpected clinical outcomes including increased LOS and readmissions. The convenience and advantages of standardisation of patient care should be balanced with a degree of individualisation, particularly in the care of medically complex patients. Furthermore, standardised processes should be evaluated frequently after implementation to assess for unintended consequences.
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Affiliation(s)
- Mandip Kc
- Department of Medicine, Division of Gastroenterology, Hepatology and Nutrition, University of Minnesota Twin Cities, Minneapolis, Minnesota, USA
| | - Andrew P J Olson
- Department of Medicine, Division of General Internal Medicine, University of Minnesota Twin Cities, Minneapolis, Minnesota, USA.,Department of Pediatrics, Division of Pediatric Hospital Medicine, University of Minnesota Twin Cities, Minneapolis, Minnesota, USA
| | - Qi Wang
- Clinical and Translational Science Institute, University of Minnesota Twin Cities, Minneapolis, Minnesota, USA
| | - Nicholas Lim
- Department of Medicine, Division of Gastroenterology, Hepatology and Nutrition, University of Minnesota Twin Cities, Minneapolis, Minnesota, USA
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ALSHINNAWY AS, EL-SAYED WM, TAHA AM, SAYED AA, SALEM AM. Astragalus membranaceus and Punica granatum alleviate infertility and kidney dysfunction induced by aging in male rats. Turk J Biol 2020; 44:166-175. [PMID: 32922124 PMCID: PMC7478130 DOI: 10.3906/biy-2001-5] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Abstract
By aging, male fertility and kidney function decline. Therefore, the investigation of health span-extending agents becomes more urgent to overcome aging-induced infertility and kidney dysfunction. The current research was undertaken to investigate the antiaging efficacy of Astragalus membranaceus telomerase activator-65 (Ta-65) and pomegranate supplements. Forty male Wistar rats were divided into young rats, aged rats, aged rats treated with Ta-65 (500mg/kg/day), and aged rats treated with pomegranate (250mg/kg/day). Testosterone, FSH, LH, and kidney functions were measured in serum. Sperm analysis as well as testicular histological examination was performed. Aging caused an imbalance in male sex hormones resulting in sperm abnormality and reductions in the sperm count and motility. Elevations in serum creatinine, uric acid, sodium, and potassium were reported in aged rats. Treatment with Ta-65 or pomegranate effectively ameliorated all the deteriorations induced by normal aging in male fertility and renal function. Ta-65 and pomegranate possessed strong antiaging activity by alleviating aging-induced male infertility through reestablishing the hormonal balance and testis architecture. They also alleviated the kidney dysfunction. On comparing Ta-65 with pomegranate, the improvement in FSH, LH, and sperm abnormalities caused by Ta-65 was much better than that caused by pomegranate.
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Affiliation(s)
- Ameera S. ALSHINNAWY
- Department of Biochemistry, Faculty of Science, Ain Shams University, CairoEgypt
| | - Wael M. EL-SAYED
- Department of Zoology, Faculty of Science, Ain Shams University, CairoEgypt
| | - AlShaimaa M. TAHA
- Department of Biochemistry, Faculty of Science, Ain Shams University, CairoEgypt
| | - Ahmed A. SAYED
- Department of Biochemistry, Faculty of Science, Ain Shams University, CairoEgypt
- Children’s Cancer Hospital, CairoEgypt
| | - Ahmed M. SALEM
- Department of Biochemistry, Faculty of Science, Ain Shams University, CairoEgypt
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Schiara LAM, Moirano G, Grosso E, Richiardi L, Tibaldi M, Spertino E, Vezza C, Isaia GC, Massaia M, D'Amelio P. Hyponatremia, Hypokalemia, and Fragility Fractures in Old Patients: More than an Association? Calcif Tissue Int 2020; 106:599-607. [PMID: 32076748 DOI: 10.1007/s00223-020-00675-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/25/2019] [Accepted: 02/08/2020] [Indexed: 12/11/2022]
Abstract
PURPOSE Hyponatremia and hypokalemia are common among elderly and have been associated with osteoporosis, we evaluate the role of these electrolytes as risk for fragility fractures. METHODS This study is divided in two parts: one retrospective and one prospective. We retrospectively collected data on urgently admitted patients for femoral fragility fractures (Fx) or for acute myocardial infarction (AMI), and patients admitted for elective hip/knee replacement surgery for osteoarthrosis (OA). Age, sex, serum sodium, potassium, creatinine, and comorbidities were recorded. We enrolled prospectively in-patients from our unit: age, sex, comorbidities, drugs, and fragility fractures were recorded. Blood electrolytes were measured. Cognitive function, nutrition, muscular strength, and balance were evaluated by standard tests. The mortality rate was recorded with a follow-up after hospital discharge. RESULTS The retrospective study included 2166 subjects: 702 Fx and 1464 controls (907 AMI, 557 OA): the prevalence of hyponatremia was similar in Fx and AMI, whereas it was higher in Fx with respect to OA (p < 0.001) as well as hypokalemia (p < 0.001). Sodium decrease was associated with higher fracture risk. Among the 284 subjects included in the prospective study, 50 patients were hyponatremic, more likely malnourished, and presented a higher prevalence of fragility fractures (p = 0.008). They had a higher mortality after hospital discharge (HR = 1.80, p = 0.005), however, this association disappears after correction for confounding variables. CONCLUSIONS We suggest that hyponatremia and hypokalemia have to be considered as a marker of poor health more than an independent fracture risk.
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Affiliation(s)
- Laura Anna Maria Schiara
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy
| | - Giovenale Moirano
- Cancer Epidemiology Unit-CERMS, Department of Medical Science, University of Torino and CPO-Piemonte, Via Santena 7, 10126, Torino, Italy
| | - Elena Grosso
- Department of Orthopedics, Traumatology, City of Health and Science Hospitals, Via Zuretti 29, 10126, Torino, Italy
| | - Lorenzo Richiardi
- Cancer Epidemiology Unit-CERMS, Department of Medical Science, University of Torino and CPO-Piemonte, Via Santena 7, 10126, Torino, Italy
| | - Michela Tibaldi
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy
| | - Elena Spertino
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy
| | - Carlotta Vezza
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy
| | - Giovanni Carlo Isaia
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy
| | - Massimiliano Massaia
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy
| | - Patrizia D'Amelio
- Gerontology Section, Department of Medical Science, University of Torino, Corso Bramante 88/90, 10126, Torino, Italy.
- Centre Hospitalier Universitaire Vaudoise (CHUV) Service de Gériatrie, Mont Paisible 16 CH, 1011, Lausanne, Switzerland.
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Wiśniowska B, Polak S. Drug-physiology interaction and its influence on the QT prolongation-mechanistic modeling study. J Pharmacokinet Pharmacodyn 2018; 45:483-490. [PMID: 29546612 DOI: 10.1007/s10928-018-9583-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: 10/17/2017] [Accepted: 03/13/2018] [Indexed: 10/17/2022]
Abstract
The current study is an example of drug-disease interaction modeling where a drug induces a condition which can affect the pharmacodynamics of other concomitantly taken drugs. The electrophysiological effects of hypokaliemia and heart rate changes induced by the antiasthmatic drugs were simulated with the use of the cardiac safety simulator. Biophysically detailed model of the human cardiac physiology-ten Tusscher ventricular cardiomyocyte cell model-was employed to generate pseudo-ECG signals and QTc intervals for 44 patients from four clinical studies. Simulated and observed mean QTc values with standard deviation (SD) for each reported study point were compared and differences were analyzed with Student's t test (α = 0.05). The simulated results reflected the QTc interval changes measured in patients, as well as their clinically observed interindividual variability. The QTc interval changes were highly correlated with the change in plasma potassium both in clinical studies and in the simulations (Pearson's correlation coefficient > 0.55). The results suggest that the modeling and simulation approach could provide valuable quantitative insight into the cardiological effect of the potassium and heart rate changes caused by electrophysiologically inactive, non-cardiological drugs. This allows to simulate and predict the joint effect of several risk factors for QT prolongation, e.g., drug-dependent QT prolongation due to the ion channels inhibition and the current patient physiological conditions.
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Affiliation(s)
- Barbara Wiśniowska
- Pharmacoepidemiology and Pharmacoeconomics Unit, Faculty of Pharmacy, Jagiellonian University Medical College, Medyczna 9, Str., 30-688, Krakow, Poland.
| | - Sebastian Polak
- Pharmacoepidemiology and Pharmacoeconomics Unit, Faculty of Pharmacy, Jagiellonian University Medical College, Medyczna 9, Str., 30-688, Krakow, Poland.,Simcyp (Part of Certara), Sheffield, S2 4SU, UK
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