1.Some suggestions about the application of mathematics in medicine and health activity.
Journal of Medical and Pharmaceutical Information 2001;(11):8-10
Mathematics is increasingly applied in medicine and health in the world and Vietnam. Because of characteristics of health sector, the applied mathematics has been being used in the scientific research, health statistics, policy making, health plan, diagnosis and treatment etc to strengthen the activities of people protection and care. However, it should enhance the links and combination of the medicine and health activity with natural science including mathematics and social science in the future in Vietnam
Mathematics
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Medicine
2.Statistical basis for pharmacometrics: random variables and their distribution functions, expected values, and correlation coefficient.
Translational and Clinical Pharmacology 2016;24(2):66-73
For pharmacometricians, probability theory is the very first obstacle towards the statistics since it is solely founded on mathematics. The purpose of this tutorial is to provide a simple version of introduction to a univariate random variable, its mean, variance, and the correlation coefficient of two random variables using as simple mathematics as possible. The definitions and theorems in this tutorial appear in most of the statistics books in common. Most examples are small and free of subjects like coins, dice, and binary signals so that the readers can intuitively understand them.
Mathematics
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Numismatics
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Probability Theory
3.Brain Vigilance Analysis Based on the Measure of Complexity.
Yunlong ZHAO ; Xuemin WANG ; Ranting XUE ; Xiaolu WANG ; Xiang GAO ; Dong MING ; Hongzhi QI ; Peng ZHOU
Journal of Biomedical Engineering 2015;32(4):725-729
Vigilance is defined as the ability to maintain attention for prolonged periods of time. In order to explore the variation of brain vigilance in work process, we designed addition and subtraction experiment with numbers of three digits to induce the vigilance to change, combined it with psychomotor vigilance task (PVT) to measure this process of electroencephalogram (EEG), extracted and analyzed permutation entropy (PE) of 11 cases of subjects' EEG and made a brief comparison with nonlinear parameter sample entropy (SE). The experimental results showed that: PE could well reflect the dynamic changes of EEG when vigilance decreases, and has advantages of fast arithmetic speed, high noise immunity, and low requirements for EEG length. This can be used as a measure of the brain vigilance indicators.
Attention
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Brain
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physiology
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Electroencephalography
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Entropy
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Humans
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Mathematics
4.Artificial Neural Network: Understanding the Basic Concepts without Mathematics.
Su Hyun HAN ; Ko Woon KIM ; SangYun KIM ; Young Chul YOUN
Dementia and Neurocognitive Disorders 2018;17(3):83-89
Machine learning is where a machine (i.e., computer) determines for itself how input data is processed and predicts outcomes when provided with new data. An artificial neural network is a machine learning algorithm based on the concept of a human neuron. The purpose of this review is to explain the fundamental concepts of artificial neural networks.
Artificial Intelligence
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Humans
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Machine Learning
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Mathematics*
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Neurons
7.Analysis on length of meridians and ebb-flow of ying-qi based on ancient Shushu.
Chinese Acupuncture & Moxibustion 2008;28(8):591-595
The theories of Shushu in the literature of Qin and Han periods are reorganized and expositions of foreigner scholars about ancient way of thought are consulted, and compared with the recordation about the ebb-flow of ying-qi and the length of meridians in ancient medical books to probe into the relationship between Shushu and these recordation. It is found that the ebb-flow of ying-qi and the length of meridians are completely conform with the principle of Shushu, i. e. the ebb-flow degrees of ying-qi and the length of meridians all are deduced from Shushu for building the close inseparable response relation between nature and humans. Because Shushu can not be verified, modern scientific methods are not suitable to the study on the ebb-flow of ying-qi.
Humans
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Mathematics
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Medicine, Chinese Traditional
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Meridians
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Qi
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Yin-Yang
8.Time-resolved fluorescence anisotropy measurement and its application in the research of biomacromolecule.
Journal of Biomedical Engineering 2002;19(4):712-714
In this symposium, we reviewed the principle and development of time-resolved fluorescence anisotropy measurement. Its method of measurement, characteristics and applications in the research of biomacromolecule, configuration and molecular structure have been discussed. Its potential applications are also illustrated.
Fluorescence Polarization
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methods
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Macromolecular Substances
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Mathematics
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Models, Molecular
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Time Factors
9.Digital medicine and computer-aided surgery.
Cheng-Tao WANG ; Xiao-Jun CHEN ; Li-Wei QIAN
Chinese Journal of Medical Instrumentation 2007;31(5):313-323
Digital medicine is an important development of the modern medicine and the computer-aided surgery is an important part of the digital medicine. Applications of digital techniques in the computer aided preoperative planning are elucidated in the paper. Techniques of computer-aided design and computer aided manufacture have been widely used in the fields of customized prosthesis replacement, design and manufacture of customized surgical tools and medical auxiliary instruments and here some clinical cases are introduced. The fundamental technologies used in the surgical navigation and related clinical applications are also explained. The development trend of the computer aided surgery is described and it is concluded that the computer-aided surgery has a bright future.
Computer-Aided Design
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Mathematics
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Surgery, Computer-Assisted
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methods
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trends
10.High-Resolution Actigraphic Analysis of ADHD: A Wide Range of Movement Variability Observation in Three School Courses - A Pilot Study.
Hye Jin KAM ; Kiyoung LEE ; Sun Mi CHO ; Yun Mi SHIN ; Rae Woong PARK
Healthcare Informatics Research 2011;17(1):29-37
OBJECTIVES: This study was conducted to determine whether or not newly proposed high-resolution activity features could provide a superior analytic foundation compared to those commonly used to assess transitions in children's activities, under circumstances in which the types of courses attended exert different situational effects on activity levels. METHODS: From 153 children at a local elementary school, 10 subjects with attention deficit hyperactivity disorder (ADHD) and 7 controls were recruited. Their activity data was collected using an actigraph while they attended school. Ratios of partitioned activity ranges (0.5-2.8 G) during the entire activity were extracted during three classes: art, mathematics, and native language (Korean). Extracted activity features for each participant were compared between the two groups of children (ADHD and control) using graphs and statistical analysis. RESULTS: Activity distributions between ADHD and control groups for each class showed statistically significant differences spread through the entire range in art class compared to native language and mathematics classes. The ADHD group, but not the control group, experienced many significantly different intervals (> 50%) having low to very high activity acceleration regions during the art and languages courses. CONCLUSIONS: Class content appears to influence the activity patterns of ADHD children. Monitoring the actual magnitude and activity counts in a wide range of subjects could facilitate the examination of distributions or patterns of activities. Objective activity measurements made with an actigraph may be useful for monitoring changes in activities in children with ADHD in a timely manner.
Acceleration
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Actigraphy
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Activities of Daily Living
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Attention Deficit Disorder with Hyperactivity
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Child
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Humans
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Mathematics
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Motor Activity
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Pilot Projects