For drugs obeying parallel first-order and Michaelis-Menten elimination kinetics,mathematical analysis concerning the optimum dosage regimen of intravenous infusion is conducted and following equations are derived:whe...For drugs obeying parallel first-order and Michaelis-Menten elimination kinetics,mathematical analysis concerning the optimum dosage regimen of intravenous infusion is conducted and following equations are derived:where Xo is the intravenous loading dose,Cb the plasma concentration level desired in clinical therapy,V the apparent distribution volume,k0 the rate constant of intravenouns infusion,K the first－order elimination rate constant,Vm the theoretical maximum rate of the Michaelis－Menten elimination process,Km the Michaelis constant.From this dosage regimen,plasma level maintains a constant Cb during the administration period.When K=0 the dosage regimen above is also suitable for drugs obeying Michaelis-Menten elimination kinetics.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
文摘For drugs obeying parallel first-order and Michaelis-Menten elimination kinetics,mathematical analysis concerning the optimum dosage regimen of intravenous infusion is conducted and following equations are derived:where Xo is the intravenous loading dose,Cb the plasma concentration level desired in clinical therapy,V the apparent distribution volume,k0 the rate constant of intravenouns infusion,K the first－order elimination rate constant,Vm the theoretical maximum rate of the Michaelis－Menten elimination process,Km the Michaelis constant.From this dosage regimen,plasma level maintains a constant Cb during the administration period.When K=0 the dosage regimen above is also suitable for drugs obeying Michaelis-Menten elimination kinetics.
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.
