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Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods. Mathematical Tools for Understanding Infectious Disease Dynamics fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology. This comprehensive and accessible book also features numerous detailed exercises throughout; full elaborations to all exercises are provided. Covers the latest research in mathematical modeling of infectious disease epidemiology Integrates deterministic and stochastic approaches Teaches skills in model construction, analysis, inference, and interpretation Features numerous exercises and their detailed elaborations Motivated by real-world applications throughout

Epidemiology --- Communicable diseases --- Contagion and contagious diseases --- Contagious diseases --- Infectious diseases --- Microbial diseases in human beings --- Zymotic diseases --- Mathematical models --- Mathematical models. --- Diseases --- Infection --- Epidemics --- Public health --- Bayesian statistical inference. --- ICU model. --- Markov chain Monte Carlo method. --- Markov chain Monte Carlo methods. --- ReedІrost epidemic. --- age structure. --- asymptotic speed. --- bacterial infections. --- biological interpretation. --- closed population. --- compartmental epidemic systems. --- consistency conditions. --- contact duration. --- demography. --- dependence. --- disease control. --- disease outbreaks. --- disease prevention. --- disease transmission. --- endemic. --- epidemic models. --- epidemic outbreak. --- epidemic. --- epidemiological models. --- epidemiological parameters. --- epidemiology. --- general epidemic. --- growth rate. --- homogeneous community. --- hospital infections. --- hospital patients. --- host population growth. --- host. --- human social behavior. --- i-states. --- individual states. --- infected host. --- infection transmission. --- infection. --- infectious disease epidemiology. --- infectious disease. --- infectious diseases. --- infectious output. --- infective agent. --- infectivity. --- intensive care units. --- intrinsic growth rate. --- larvae. --- macroparasites. --- mathematical modeling. --- mathematical reasoning. --- maximum likelihood estimation. --- microparasites. --- model construction. --- outbreak situations. --- outbreak. --- pair approximation. --- parasite load. --- parasite. --- population models. --- propagation speed. --- reproduction number. --- separable mixing. --- sexual activity. --- stochastic epidemic model. --- structured population models. --- susceptibility. --- vaccination.

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With the development of analytical instruments, the academic system has become more complicated, producing new journals one after another. Therefore, it became much important to clarify what is original of “Medicines”. As the name Medicines indicates, it includes science and practice of caring for a patient and managing the diagnosis, prognosis, prevention, treatment or palliation of their injury or disease. Therefore, Medicines differs from other journals with similar title in that it covers a wide range of fields, from traditional medicine to rapidly developing molecular-targeted drugs, focusing on their pharmacological effects, structure–activity relationships, metabolic pathways, gene expression, using cultured cells, animals, and clinical trials. Most parts of this Special Issue were written by our editorial board members, who described the research topics and how they are engaged in their field of research. All of these articles are their life-long story. We collected a total number of 22 original works by basic researchers and clinical doctors. We hope that readers can get a chance to know the current status of diverse fields of medicines, and what your most important research themes are after reading these articles.

Medicine --- Hedychium --- traditional medicine --- coronarin D --- villosin --- anti-acetylcholinesterase --- antidiabetic --- anti-inflammatory --- antimicrobial --- antioxidant --- antitumor --- Genista tridentata --- Pterospartum tridentatum --- isoflavones --- flavonols --- genistein --- biochanin A --- rutin --- daidzein --- inflammatory bowel disease --- Crohn’s disease --- ulcerative colitis --- extra-intestinal manifestations --- orofacial granulomatosis --- tag-like lesions --- cobblestoning --- mucogingivitis --- lip swelling --- aphthous stomatitis --- Angelicae Sinensis Radix --- Danggui --- granules --- herb --- multivariate analysis --- ultra-performance liquid chromatography --- Tai Chi --- qigong --- immune system --- immunity --- inflammation --- telemedicine --- remote monitoring --- GER-e-TEC --- elderly patient --- artificial intelligence --- geriatric syndromes --- detection of the precursory signs of decompensation of geriatric syndromes --- renal cell cancer --- genomic landscape --- targeted therapy --- tumor evolution --- tumor heterogeneity --- allergic rhinitis --- quercetin --- human CD4+ T cells --- Th1/Th2 cytokine balance --- modulation --- in vitro --- intravascular catheter --- CRBSI --- biofilm --- CVC --- antifouling --- chromone --- tumor specificity --- QSAR analysis --- apoptosis --- cell cycle analysis --- contrast-enhanced ultrasound --- hepatocellular carcinoma --- LI-RADS --- chronic liver disease --- granuloma annulare --- granulomatous disorders of the skin --- inflammatory skin conditions --- medical dermatology --- biliary tract cancer --- cholangiocarcinoma --- PARP --- BRCA --- olaparib --- rucaparib --- liver cancer --- pancreatic adenocarcinoma --- pancreatic cancer --- sarcoidosis --- superior vena cava syndrome --- venous thrombosis --- RUCAM --- Roussel Uclaf Causality Assessment Method --- diagnostic algorithm --- iDILI --- iDrug induced liver injury --- DILI --- HILI --- herb induced liver injury --- Stachys L. --- traditional uses --- pharmacological activities --- phytochemicals --- bioactive compounds --- Kampo formulae --- alkaline extract of Sasa sp. --- pine cone extract --- povidone-iodine --- HSV --- HIV --- loss of infectivity --- solubilization method --- diaphragmatic breathing --- abdominal breathing --- breathing exercise --- systematic review --- randomized controlled trial --- respiratory function --- auricular acupuncture --- preoperative anxiety --- protocol --- randomized controlled trials --- meta-analysis --- boiogito --- knee osteoarthritis --- rat --- Yokukansan --- fentanyl --- transient receptor potential ankyrin 1 (TRPA1) channel --- phosphorylated extracellular signal-regulated kinase (pERK) --- whole-cell patch-clamp recording --- herbal medicine --- calcium metabolism --- bone metabolism --- protease --- osteoclast --- macrophage --- RANKL --- LPS --- TLR4 --- TREM2 --- Hedychium --- traditional medicine --- coronarin D --- villosin --- anti-acetylcholinesterase --- antidiabetic --- anti-inflammatory --- antimicrobial --- antioxidant --- antitumor --- Genista tridentata --- Pterospartum tridentatum --- isoflavones --- flavonols --- genistein --- biochanin A --- rutin --- daidzein --- inflammatory bowel disease --- Crohn’s disease --- ulcerative colitis --- extra-intestinal manifestations --- orofacial granulomatosis --- tag-like lesions --- cobblestoning --- mucogingivitis --- lip swelling --- aphthous stomatitis --- Angelicae Sinensis Radix --- Danggui --- granules --- herb --- multivariate analysis --- ultra-performance liquid chromatography --- Tai Chi --- qigong --- immune system --- immunity --- inflammation --- telemedicine --- remote monitoring --- GER-e-TEC --- elderly patient --- artificial intelligence --- geriatric syndromes --- detection of the precursory signs of decompensation of geriatric syndromes --- renal cell cancer --- genomic landscape --- targeted therapy --- tumor evolution --- tumor heterogeneity --- allergic rhinitis --- quercetin --- human CD4+ T cells --- Th1/Th2 cytokine balance --- modulation --- in vitro --- intravascular catheter --- CRBSI --- biofilm --- CVC --- antifouling --- chromone --- tumor specificity --- QSAR analysis --- apoptosis --- cell cycle analysis --- contrast-enhanced ultrasound --- hepatocellular carcinoma --- LI-RADS --- chronic liver disease --- granuloma annulare --- granulomatous disorders of the skin --- inflammatory skin conditions --- medical dermatology --- biliary tract cancer --- cholangiocarcinoma --- PARP --- BRCA --- olaparib --- rucaparib --- liver cancer --- pancreatic adenocarcinoma --- pancreatic cancer --- sarcoidosis --- superior vena cava syndrome --- venous thrombosis --- RUCAM --- Roussel Uclaf Causality Assessment Method --- diagnostic algorithm --- iDILI --- iDrug induced liver injury --- DILI --- HILI --- herb induced liver injury --- Stachys L. --- traditional uses --- pharmacological activities --- phytochemicals --- bioactive compounds --- Kampo formulae --- alkaline extract of Sasa sp. --- pine cone extract --- povidone-iodine --- HSV --- HIV --- loss of infectivity --- solubilization method --- diaphragmatic breathing --- abdominal breathing --- breathing exercise --- systematic review --- randomized controlled trial --- respiratory function --- auricular acupuncture --- preoperative anxiety --- protocol --- randomized controlled trials --- meta-analysis --- boiogito --- knee osteoarthritis --- rat --- Yokukansan --- fentanyl --- transient receptor potential ankyrin 1 (TRPA1) channel --- phosphorylated extracellular signal-regulated kinase (pERK) --- whole-cell patch-clamp recording --- herbal medicine --- calcium metabolism --- bone metabolism --- protease --- osteoclast --- macrophage --- RANKL --- LPS --- TLR4 --- TREM2

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• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

With the development of analytical instruments, the academic system has become more complicated, producing new journals one after another. Therefore, it became much important to clarify what is original of “Medicines”. As the name Medicines indicates, it includes science and practice of caring for a patient and managing the diagnosis, prognosis, prevention, treatment or palliation of their injury or disease. Therefore, Medicines differs from other journals with similar title in that it covers a wide range of fields, from traditional medicine to rapidly developing molecular-targeted drugs, focusing on their pharmacological effects, structure–activity relationships, metabolic pathways, gene expression, using cultured cells, animals, and clinical trials. Most parts of this Special Issue were written by our editorial board members, who described the research topics and how they are engaged in their field of research. All of these articles are their life-long story. We collected a total number of 22 original works by basic researchers and clinical doctors. We hope that readers can get a chance to know the current status of diverse fields of medicines, and what your most important research themes are after reading these articles.

Hedychium --- traditional medicine --- coronarin D --- villosin --- anti-acetylcholinesterase --- antidiabetic --- anti-inflammatory --- antimicrobial --- antioxidant --- antitumor --- Genista tridentata --- Pterospartum tridentatum --- isoflavones --- flavonols --- genistein --- biochanin A --- rutin --- daidzein --- inflammatory bowel disease --- Crohn’s disease --- ulcerative colitis --- extra-intestinal manifestations --- orofacial granulomatosis --- tag-like lesions --- cobblestoning --- mucogingivitis --- lip swelling --- aphthous stomatitis --- Angelicae Sinensis Radix --- Danggui --- granules --- herb --- multivariate analysis --- ultra-performance liquid chromatography --- Tai Chi --- qigong --- immune system --- immunity --- inflammation --- telemedicine --- remote monitoring --- GER-e-TEC --- elderly patient --- artificial intelligence --- geriatric syndromes --- detection of the precursory signs of decompensation of geriatric syndromes --- renal cell cancer --- genomic landscape --- targeted therapy --- tumor evolution --- tumor heterogeneity --- allergic rhinitis --- quercetin --- human CD4+ T cells --- Th1/Th2 cytokine balance --- modulation --- in vitro --- intravascular catheter --- CRBSI --- biofilm --- CVC --- antifouling --- chromone --- tumor specificity --- QSAR analysis --- apoptosis --- cell cycle analysis --- contrast-enhanced ultrasound --- hepatocellular carcinoma --- LI-RADS --- chronic liver disease --- granuloma annulare --- granulomatous disorders of the skin --- inflammatory skin conditions --- medical dermatology --- biliary tract cancer --- cholangiocarcinoma --- PARP --- BRCA --- olaparib --- rucaparib --- liver cancer --- pancreatic adenocarcinoma --- pancreatic cancer --- sarcoidosis --- superior vena cava syndrome --- venous thrombosis --- RUCAM --- Roussel Uclaf Causality Assessment Method --- diagnostic algorithm --- iDILI --- iDrug induced liver injury --- DILI --- HILI --- herb induced liver injury --- Stachys L. --- traditional uses --- pharmacological activities --- phytochemicals --- bioactive compounds --- Kampo formulae --- alkaline extract of Sasa sp. --- pine cone extract --- povidone-iodine --- HSV --- HIV --- loss of infectivity --- solubilization method --- diaphragmatic breathing --- abdominal breathing --- breathing exercise --- systematic review --- randomized controlled trial --- respiratory function --- auricular acupuncture --- preoperative anxiety --- protocol --- randomized controlled trials --- meta-analysis --- boiogito --- knee osteoarthritis --- rat --- Yokukansan --- fentanyl --- transient receptor potential ankyrin 1 (TRPA1) channel --- phosphorylated extracellular signal-regulated kinase (pERK) --- whole-cell patch-clamp recording --- herbal medicine --- calcium metabolism --- bone metabolism --- protease --- osteoclast --- macrophage --- RANKL --- LPS --- TLR4 --- TREM2