The prognosis of infectious diseases is determined by host-pathogen interactions. Control of pathogens has been the central dogma of treating infectious diseases in modern medicine, but the pathogen-directed medicine is facing significant challenges, including a lack of effective antimicrobials for newly emerging pathogens, pathogen drug resistance, and drug side effects. Here, a mathematic equation (termed equation of host-pathogen interactions, HPI-Equation) is developed to dissect the key variables of host-pathogen interactions. It shows that control of pathogens does not necessarily lead to host recovery. Instead, a combination of promoting a host's power of self-healing and balancing immune responses provides the best benefit for host. Moreover, the HPI-Equation elucidates the scientific basis of traditional Chinese medicine (TCM), a host-based medicine that treats infectious diseases by promoting self-healing power and balancing immune responses. The importance of self-healing power elucidated in the HPI-Equation is confirmed by recent studies that the tolerance mechanism, which is discovered in plants and animals and conceptually similar to self-healing power, improves host survival without directly attacking pathogens. In summary, the HPI-Equation describes host-pathogen interactions with mathematical logic and precision; it translates the ancient wisdoms of TCM into apprehensible modern sciences and opens a new venue for integrating TCM and modern medicine for a future medicine. Sun J. A mathematic equation derived from host-pathogen interactions elucidates the significance of integrating modern medicine with traditional Chinese medicine to treat infectious diseases. J Integr Med. 2023; 21(4):324-331.
Animals ; Medicine, Chinese Traditional ; Communicable Diseases/drug therapy* ; Mathematics ; Host-Pathogen Interactions ; Drugs, Chinese Herbal/therapeutic use*

PURPOSE: This study was conducted to review the curriculum and license examination of physical therapists in the United States. METHODS: The doctor of physical therapy (DPT) curriculum was evaluated by a review Course Work Tool version 6 (CWT6) data and current physical therapy licensure examination (National Physical Therapy Exam, NPTE) category in the United States. RESULTS: The results indicated that they were required to meet the doctor of physical therapist degree based on ‘Guide to Physical Therapist Practice’ of American Physical Therapy Association (APTA). This includes general education in the areas of communications and humanities, physical science, biological science, social and behavioral science, and mathematics. A minimum of one course must be completed successfully in each area of general education. Moreover, there should be at least 68 didactic credits of professional education and 22 clinical education credits, which is a minimum of two full-time clinical internships with no less than 1050 hours in total, which were supervised by a physical therapist. Regarding the physical therapy licensure examination, National Physical Therapy Exam (NPTE, 2016) consisted of a physical therapy examination (26.5%), evaluation, differential diagnosis, baseline of prognosis (32.5%), intervention (28.5%), protection, responsibility, and research (6.5%) based on the ‘Guide to Physical Therapist Practice’. CONCLUSION: Based on the study results provided above, it is considered a standard to meet domestic reality as the Guide to Physical Therapist Practice of APTA for South Korean physical therapists.
Behavioral Sciences ; Biological Science Disciplines ; Curriculum ; Diagnosis, Differential ; Education ; Education, Professional ; Humanities ; Humans ; Internship and Residency ; Licensure ; Mathematics ; Natural Science Disciplines ; Physical Therapists ; Prognosis ; United States

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 ; Humans ; Machine Learning ; Mathematics* ; Neurons

OBJECTIVES: This study investigated the prevalence of reading and mathematical learning disabilities of students at primary schools in Jeju Island, South Korea. We examined major causes of learning disabilities including reading disorder, mathematical disorder, attention deficit, and other causes including socioemotional factors. METHODS: We conducted screening processes to 659 participants (340 male, 51%) in 4 elementary schools in Jeju Island. To identify the causes of learning problems, 84 children were administered tests such as the Korean-Wechsler Intelligence Scale for Children-fourth edition, the Comprehensive Learning Test-Reading/Math, and the Comprehensive Attention Test. RESULTS: This study found that 13% of elementary school students in the Jeju region had learning disabilities. Among learning disabilities, specific reading and mathematical disorders accounted for 9% of study subjects. In addition, 2% of participants had intellectual impairment and 1% had other causes such as socioemotional factors. 65% of children with learning disabilities and 74% of children with reading or mathematic disorders had concurrent attention deficit disorder. 68% of children with reading disorders also had comorbid mathematical disorder. CONCLUSION: The prevalence, causes, and comorbidity of reading and mathematical learning disabilities of students in Jeju Island, South Korea did not differ from those in foreign countries. Because most learning disabilities are complex, comprehensive evaluations and tailored interventions are necessary to help children with learning disabilities.
Attention Deficit Disorder with Hyperactivity ; Child* ; Comorbidity ; Dyscalculia ; Dyslexia ; Epidemiology ; Humans ; Intelligence ; Korea ; Learning Disorders* ; Learning* ; Male ; Mass Screening ; Mathematics ; Prevalence*

OBJECTIVES: This study was conducted in order to develop a computerized test to measure the level of mathematic achievement and related cognitive functions in children and adolescents in South Korea. METHODS: The computerized Comprehensive Learning Test-Mathematic (CLT-M) consists of the whole number computation test, enumeration of dot group test, number line estimation test, numeral comparing test (magnitude/distance), rapid automatized naming test, digit span test, and working memory test. To obtain the necessary data and to investigate the reliability and validity of this test, 399 children and adolescents from kindergarten to middle school were recruited. RESULTS: The internal consistency reliability of the CLT-M was high (Cronbach's alpha=0.76). Four factors explained 66.4% of the cumulative variances. In addition, the data for all of the CLT-M subtests were obtained. CONCLUSION: The computerized CLT-M can be used as a reliable and valid tool to evaluate the level of mathematical achievement and associated cognitive functions in Korean children and adolescents. This test can also be helpful to detect mathematical learning disabilities, including specific learning disorder with impairment in mathematics, in Korea.
Adolescent* ; Child* ; Cognition ; Dyscalculia ; Humans ; Korea ; Learning ; Learning Disorders ; Mathematics* ; Memory, Short-Term ; Reproducibility of Results ; Specific Learning Disorder

BACKGROUND/OBJECTIVES: A healthy diet has been reported to be associated with physical development, cognition and academic performance, and personality during adolescence. This study was performed to investigate the relationships among milk consumption and academic performance, learning motivation and strategies, and personality among Korean adolescents. SUBJECTS/METHODS: The study was divided into two parts. The first part was a survey on the relationship between milk consumption and academic performance, in which intakes of milk and milk products and academic scores were examined in percentiles among 630 middle and high school students residing in small and medium-sized cities in 2009. The second part was a survey on the relationships between milk consumption and learning motivation and strategy as well as personality, in which milk consumption habits were collected and Learning Motivation and Strategy Test (L-MOST) for adolescents and Total Personality Inventory for Adolescents (TPI-A) were conducted in 262 high school students in 2011. RESULTS: In the 2009 survey, milk and milk product intakes of subjects were divided into a low intake group (LM: ≤ 60.2 g/day), medium intake group (MM: 60.3-150.9 g/day), and high intake group (HM: ≥ 151.0 g/day). Academic performance of each group was expressed as a percentile, and performance in Korean, social science, and mathematics was significantly higher in the HM group (P < 0.05). In the 2011 survey, the group with a higher frequency of everyday milk consumption showed significantly higher "learning strategy total," "testing technique," and "resources management technique" scores (P < 0.05) in all subjects. However, when subjects were divided by gender, milk intake frequency, learning strategy total, class participation technique, and testing technique showed significantly positive correlations (P < 0.05) in boys, whereas no correlation was observed in girls. Correlations between milk intake frequency and each item of the personality test were only detected in boys, and milk intake frequency showed positive correlations with "total agreeability", "organization", "responsibility", "conscientiousness", and "intellectual curiosity" (P < 0.05). CONCLUSION: Intakes of milk and milk products were correlated with academic performance (Korean, social science, and mathematics) in Korean adolescents. In male high school students, particularly, higher milk intake frequency was positively correlated with learning motivation and strategy as well as some items of the personality inventory.
Adolescent* ; Cognition ; Diet ; Female ; Humans ; Learning* ; Male ; Mathematics ; Milk* ; Motivation* ; Personality Inventory ; Personality Tests ; Social Sciences

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 ; Numismatics ; Probability Theory

Leonardo da Vinci is remembered as the greatest genius of the Renaissance. He left outstanding achievements as an artist, scientist and inventor, and contributes up to today's science. He ranks the best in a variety of fields, such as botany, mathematics, geology, astronomy, geometry and optics. It has well known that Leonardo is an artist, scientist, inventor and philosopher. And he was a great anatomist that dissected dead bodies and animals directly and left many anatomical drawings. He took an interest in anatomy from the point of view of the artist, which is why the human body structure and function to know the sakes were "ignorant of the anatomy should not be upset." Over time, he became interested in the structure and function of the body, even get the human body in a difficult environment; he dissected many the human bodies directly. His scientific inquiry and infatuation made him as an advanced pioneer for more than 100 years, and got enough level to surpass the artistry. Leonardo left about 1,800 anatomical figures of the muscular, skeletal, vascular, nervous and urogenital system, and they are also very scientific and high artistic achievements. The aim of this article is to take a look at Leonardo da Vinci's anatomical achievements and thoughts. In addition, the goal is to knowledge today's anatomists about Leonardo da Vinci's astonishing achievements as a great pioneer in anatomy.
Anatomists ; Animals ; Astronomy ; Botany ; Geology ; Human Body ; Humans ; Inventors ; Mathematics ; Urogenital System

PURPOSE: There are marked differences in facial skeletal characteristics between Asian and Caucasian. However, ethnic differences in age-related facial skeletal changes have not yet been fully established. The aims of this study were to evaluate age-related changes in Asian midfacial skeletons and to explore ethnic differences in facial skeletal structures with aging between Caucasian and Asian. MATERIALS AND METHODS: The study included 108 men (aged 20-79 years) and 115 women (aged 20-81 years). Axial CT images with a gantry tilt angle of 0 were analyzed. We measured three-dimensional (3D) coordinates at each point with a pixel lens cursor in a picture archiving and communication system (PACS), and angles and widths between the points were calculated using 3D vector mathematics. We analyzed angular changes in 4 bony regions, including the glabellar, orbital, maxillary, and pyriform aperture regions, and changes in the orbital aperture width (distance from the posterior lacrimal crest to the frontozygomatic suture) and the pyriform width (between both upper margins of the pyriform aperture). RESULTS: All 4 midfacial angles in females and glabellar and maxillary angles in males showed statistically significant decreases with aging. On the other hand, the orbital and pyriform widths did not show statistically significant changes with aging. CONCLUSION: The results of this study suggest that Asian midfacial skeletons may change continuously throughout life, and that there may be significant differences in the midfacial skeleton between both sexes and between ethnic groups.
Adult ; Aged ; Aging/ethnology/*physiology ; Asian Continental Ancestry Group ; Facial Bones/*anatomy & histology/*radiography ; Female ; Humans ; Image Processing, Computer-Assisted ; Male ; Mathematics ; Maxilla/anatomy & histology/radiography ; Middle Aged ; Orbit/anatomy & histology/radiography ; Radiology Information Systems ; Republic of Korea ; Tomography, X-Ray Computed/*methods ; Young Adult ; Zygoma/anatomy & histology/radiography

OBJECTIVE: The abacus, first used in Asian countries more than 800 years ago, enables efficient arithmetic calculation via visuo-spatial configuration. We investigated whether abacus-trained children performed better on cognitive tasks and demonstrated higher levels of arithmetic abilities compared to those without such training. METHODS: We recruited 75 elementary school children (43 abacus-trained and 32 not so trained). Attention, memory, and arithmetic abilities were measured, and we compared the abacus with the control group. RESULTS: Children who had learned to use an abacus committed fewer commission errors and showed better arithmetic ability than did controls. We found no significant differences between children with and without abacus training in other areas of attention. CONCLUSION: We speculate that abacus training improves response inhibition via neuroanatomical alterations of the areas that regulate such functions. Further studies are needed to confirm the association between abacus training and better response inhibition.
Asian Continental Ancestry Group ; Case-Control Studies* ; Child ; Cognitive Science ; Humans ; Mathematics ; Memory