Backgroud: Acupuncture is common used for Bell's palsy in clinic, however, recent systematic reviews all shows that there is no sufficient evidence to support the effectiveness of acupuncture for Bell's palsy ...Backgroud: Acupuncture is common used for Bell's palsy in clinic, however, recent systematic reviews all shows that there is no sufficient evidence to support the effectiveness of acupuncture for Bell's palsy because ofthe poor quality and heterogeneity. It's urgently necessary to develop a guideline of acupuncture for Bell's palsy based on principles of evidence-based medicine to optimize acupuncture treating,standardize outcomes evaluating and to improve the quality of acupuncture for patients with Bell's palsy under general circumstances.Objective: To improve the accuracy of diagnosing and managing Bell's palsy, optimize acupuncture treating and outcomes evaluating for patients with Bell's palsy, and to improve the quality of acupuncture for patients with Bell's palsy in most instances.Methods: This guideline was developed using an explicit and transparent a priori protocol based on supporting evidences and experts' consensus. The guideline developing Group followed the protocol through all stages of the development process: proposed clinical questions,searched clinical evidences, evaluated levels of evidences, developed recommendations, peer reviewed and consummated, and finally formed the draft of this guideline.Results:(1)The guideline development group made a Grade A recommendation that ①With a course of Bell's palsy within 3 months, the patients with mild facial palsy may be treated with any one of acupuncture, western drugs, or acupuncture combing with western drugs,whereas the patients with severe facial palsy may be treated with acupuncture or acupuncture combing with western drugs. With a course of more than 3 months, acupuncture is more suitable.②Acupuncture should be applied as early as possible for Bell's palsy.③The principle of selecting acupoints for Bell's palsy is to select local points, points of corresponding meridians and those according to differentiation. Generally,the points of yangming meridians are the main ones. ④The various methods of acupuncture and moxibustion are adopted for Bell's palsy,including filiform needling, moxibustion, electro-acupuncture, etc. Two or more methods are usually used together in clinical practice.(2) The development group formed expert consensus on the principles of acupuncture treatment for Bell' palsy. Bell's palsy is suitably treated according to the stages, differentiation and symptoms.展开更多
In this paper, the global properties of a mathematical modeling of hepatitis C virus （HCV） with distributed time delays is studied. Lyapunov functionals are constructed to establish the global asymptotic stability o...In this paper, the global properties of a mathematical modeling of hepatitis C virus （HCV） with distributed time delays is studied. Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states. It is shown that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If the basic reproduction number R0 is larger than unity, then the infected steady state is globally asymptotically stable.展开更多
Eco-epidemiological model plays a crucial role in maintaining ecological balance and biological invasions.In this paper,we propose a predator-prey model where the predator population is infected by the disease.The non...Eco-epidemiological model plays a crucial role in maintaining ecological balance and biological invasions.In this paper,we propose a predator-prey model where the predator population is infected by the disease.The non-negativity and boundedness of the solution are addressed.The existence and stability of equilibrium are discussed by an invasive approach.Numerical simulations are used to demonstrate the competitive and exclusion,and oscillation behaviors of the model.Interestingly,the predation rate of the infected predator is shown to have far-reaching implications for the structure and stability of ecological communities.展开更多
In this paper, an epidemic model of a vector-borne disease, namely, malaria, is consi- dered. The explicit expression of the basic reproduction number is obtained, the local and global asymptotical stability of the di...In this paper, an epidemic model of a vector-borne disease, namely, malaria, is consi- dered. The explicit expression of the basic reproduction number is obtained, the local and global asymptotical stability of the disease-free equilibrium is proved under certain conditions. It is shown that the model exhibits the phenomenon of backward bifurcation where the stable disease-free equilibrium coexists with a stable endemic equilibrium. Further, it is proved that the unique endemic equilibrium is globally asymptotically stable under certain conditions.展开更多
This paper deals with a control strategy through impulsive drug treatment to study the effect of Chemotherapy and CTL activator drug to eradicate the cervical cancer.CTL kills the HPV infected cells and helps to preve...This paper deals with a control strategy through impulsive drug treatment to study the effect of Chemotherapy and CTL activator drug to eradicate the cervical cancer.CTL kills the HPV infected cells and helps to prevent cervical cancer.Dendritic cell(DC)plays a crucial role in this disease dynamics in enhancing the act ivity of CTL.To explore these effects,we have formulated a mathematical model consisting of six compartments to describe the interactions between HPV and three classes of cervical cells(susceptible,infected,cancerous),with DC and CTL.Calculating the basic reproduction ratio,we find that there exists a disease-free equilibrium point and an endemic equilibrium point.In our study,we have sltown that though DC enhances the activity of CTL.it te not sufficient to eradicate the disease totally.How we could restrict the cancer development by using double drug in an impulsive way with particular drug doses is being reflected in the results.To illustrate our results,numerical simulations are also presented.展开更多
The relations between the Human Immunodeficiency Virus-1 （HIV-1） and the human immune system are astonishingly multifaceted, where the critical role for cytotoxic T lymphocytes （CTLs） in the suppression of viral r...The relations between the Human Immunodeficiency Virus-1 （HIV-1） and the human immune system are astonishingly multifaceted, where the critical role for cytotoxic T lymphocytes （CTLs） in the suppression of viral replication in HIV-1 infected individuals cannot be ignored. In this research paper, we have proposed a mathematical model incorporating half saturation constant through the CTL mediated killing process and also in that sense, it has been infiltrated in the generation process of CTL through infected cells. To make the model more realistic, a time lag is introduced in the generation term of CTL population. Also an optimal control theory paradigm is used in our mathematical model to suppress the viral production. From our entire analysis, we have found threshold condition of half saturation constant and treatment schedule so that we can handle the situation of Acquired Immunodeficiency Syndrome （AIDS） patients in a better way. Our analysis reveals that, if the half saturation constant is around 47 mm^-3 in the saturation process and the drug therapy is to be used around 76 days, then we can get adequate results for better treatment of a HIV-1 patient. Based on numerical results, we observed that in a highly unstable situation, administration of chemotherapy at a high dose can stabilize the system.展开更多
In this research paper, our main objective is to find out the meticulous role of activated dendritic cells （DCs） during the human immunodeficiency virus （HIV） infection process. DCs play a dual role by enhancing b...In this research paper, our main objective is to find out the meticulous role of activated dendritic cells （DCs） during the human immunodeficiency virus （HIV） infection process. DCs play a dual role by enhancing both HIV infection progression, as well as antiviral immune response. To explore the implications of these dual roles, we have formulated our mathematical model and analyzed the model by both analytical and numerical approaches. By using an impulsive differential equation, we have studied the effect of DC-based vaccination. Analytically we have determined the threshold value of drug dosage and dosing interval for optimum levels of injection. We have also investigated the effect of perfect adherence of drug dose on the immune cell count in extreme cases and observed that, systematic drug dose of the immune cells leads to its maximum level.展开更多
In this paper, we propose a two strain epidemic model with single host population. It is assumed that strain one can mutate into strain two. Also latent-stage progression age and mutation are incorporated into the mod...In this paper, we propose a two strain epidemic model with single host population. It is assumed that strain one can mutate into strain two. Also latent-stage progression age and mutation are incorporated into the model. Stability of equilibria （including the disease free equilibrium, dominant equilibria and the coexistence equilibrium） is investigated and it is found that they are locally stable under suitable and biological feasible constraints. Results indicate that the competition exclusion and coexistence of the two strains are possible depending on the mutation. Numerical simulations are also performed to illustrate these results.展开更多
基金West-Pacific Region of World Health Organization for financial support
文摘Backgroud: Acupuncture is common used for Bell's palsy in clinic, however, recent systematic reviews all shows that there is no sufficient evidence to support the effectiveness of acupuncture for Bell's palsy because ofthe poor quality and heterogeneity. It's urgently necessary to develop a guideline of acupuncture for Bell's palsy based on principles of evidence-based medicine to optimize acupuncture treating,standardize outcomes evaluating and to improve the quality of acupuncture for patients with Bell's palsy under general circumstances.Objective: To improve the accuracy of diagnosing and managing Bell's palsy, optimize acupuncture treating and outcomes evaluating for patients with Bell's palsy, and to improve the quality of acupuncture for patients with Bell's palsy in most instances.Methods: This guideline was developed using an explicit and transparent a priori protocol based on supporting evidences and experts' consensus. The guideline developing Group followed the protocol through all stages of the development process: proposed clinical questions,searched clinical evidences, evaluated levels of evidences, developed recommendations, peer reviewed and consummated, and finally formed the draft of this guideline.Results:(1)The guideline development group made a Grade A recommendation that ①With a course of Bell's palsy within 3 months, the patients with mild facial palsy may be treated with any one of acupuncture, western drugs, or acupuncture combing with western drugs,whereas the patients with severe facial palsy may be treated with acupuncture or acupuncture combing with western drugs. With a course of more than 3 months, acupuncture is more suitable.②Acupuncture should be applied as early as possible for Bell's palsy.③The principle of selecting acupoints for Bell's palsy is to select local points, points of corresponding meridians and those according to differentiation. Generally,the points of yangming meridians are the main ones. ④The various methods of acupuncture and moxibustion are adopted for Bell's palsy,including filiform needling, moxibustion, electro-acupuncture, etc. Two or more methods are usually used together in clinical practice.(2) The development group formed expert consensus on the principles of acupuncture treatment for Bell' palsy. Bell's palsy is suitably treated according to the stages, differentiation and symptoms.
文摘In this paper, the global properties of a mathematical modeling of hepatitis C virus （HCV） with distributed time delays is studied. Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states. It is shown that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If the basic reproduction number R0 is larger than unity, then the infected steady state is globally asymptotically stable.
基金supported by the National Natural Science Foundation of China (Nos.61573016 and 11771017)the Shanxi Province Science Foundation,China (Nos.201901D211413,20210302123454).
文摘Eco-epidemiological model plays a crucial role in maintaining ecological balance and biological invasions.In this paper,we propose a predator-prey model where the predator population is infected by the disease.The non-negativity and boundedness of the solution are addressed.The existence and stability of equilibrium are discussed by an invasive approach.Numerical simulations are used to demonstrate the competitive and exclusion,and oscillation behaviors of the model.Interestingly,the predation rate of the infected predator is shown to have far-reaching implications for the structure and stability of ecological communities.
文摘In this paper, an epidemic model of a vector-borne disease, namely, malaria, is consi- dered. The explicit expression of the basic reproduction number is obtained, the local and global asymptotical stability of the disease-free equilibrium is proved under certain conditions. It is shown that the model exhibits the phenomenon of backward bifurcation where the stable disease-free equilibrium coexists with a stable endemic equilibrium. Further, it is proved that the unique endemic equilibrium is globally asymptotically stable under certain conditions.
文摘This paper deals with a control strategy through impulsive drug treatment to study the effect of Chemotherapy and CTL activator drug to eradicate the cervical cancer.CTL kills the HPV infected cells and helps to prevent cervical cancer.Dendritic cell(DC)plays a crucial role in this disease dynamics in enhancing the act ivity of CTL.To explore these effects,we have formulated a mathematical model consisting of six compartments to describe the interactions between HPV and three classes of cervical cells(susceptible,infected,cancerous),with DC and CTL.Calculating the basic reproduction ratio,we find that there exists a disease-free equilibrium point and an endemic equilibrium point.In our study,we have sltown that though DC enhances the activity of CTL.it te not sufficient to eradicate the disease totally.How we could restrict the cancer development by using double drug in an impulsive way with particular drug doses is being reflected in the results.To illustrate our results,numerical simulations are also presented.
文摘The relations between the Human Immunodeficiency Virus-1 （HIV-1） and the human immune system are astonishingly multifaceted, where the critical role for cytotoxic T lymphocytes （CTLs） in the suppression of viral replication in HIV-1 infected individuals cannot be ignored. In this research paper, we have proposed a mathematical model incorporating half saturation constant through the CTL mediated killing process and also in that sense, it has been infiltrated in the generation process of CTL through infected cells. To make the model more realistic, a time lag is introduced in the generation term of CTL population. Also an optimal control theory paradigm is used in our mathematical model to suppress the viral production. From our entire analysis, we have found threshold condition of half saturation constant and treatment schedule so that we can handle the situation of Acquired Immunodeficiency Syndrome （AIDS） patients in a better way. Our analysis reveals that, if the half saturation constant is around 47 mm^-3 in the saturation process and the drug therapy is to be used around 76 days, then we can get adequate results for better treatment of a HIV-1 patient. Based on numerical results, we observed that in a highly unstable situation, administration of chemotherapy at a high dose can stabilize the system.
基金This research is supported by the Government of India, Ministry of Science and Technology, Mathematical Science Office, No. SR/S4/MS： 558/08 and supported partially by the National Natural Science Foundation of China （No. 11271314） and Plan for Scientific Innovation Talent of Henan Province （No. 144200510021）.
文摘In this research paper, our main objective is to find out the meticulous role of activated dendritic cells （DCs） during the human immunodeficiency virus （HIV） infection process. DCs play a dual role by enhancing both HIV infection progression, as well as antiviral immune response. To explore the implications of these dual roles, we have formulated our mathematical model and analyzed the model by both analytical and numerical approaches. By using an impulsive differential equation, we have studied the effect of DC-based vaccination. Analytically we have determined the threshold value of drug dosage and dosing interval for optimum levels of injection. We have also investigated the effect of perfect adherence of drug dose on the immune cell count in extreme cases and observed that, systematic drug dose of the immune cells leads to its maximum level.
文摘In this paper, we propose a two strain epidemic model with single host population. It is assumed that strain one can mutate into strain two. Also latent-stage progression age and mutation are incorporated into the model. Stability of equilibria （including the disease free equilibrium, dominant equilibria and the coexistence equilibrium） is investigated and it is found that they are locally stable under suitable and biological feasible constraints. Results indicate that the competition exclusion and coexistence of the two strains are possible depending on the mutation. Numerical simulations are also performed to illustrate these results.
