How to mathematically optimize drug regimens using optimal control

This article gives an overview of a technique called optimal control, which is used to optimize real-world quantities represented by mathematical models. I include background information about the historical development of the technique and applications in a variety of fields. The main focus here is the application to diseases and therapies, particularly the optimization of combination therapies, and I highlight several such examples. I also describe the basic theory of optimal control, and illustrate each of the steps with an example that optimizes the doses in a combination regimen for leukemia. References are provided for more complex cases. The article is aimed at modelers working in drug development, who have not used optimal control previously. My goal is to make this technique more accessible in the biopharma community.     

Drug–physiology interaction and its influence on the QT prolongation-mechanistic modeling study

The current study is an example of drug–disease interaction modeling where a drug induces a condition which can affect the pharmacodynamics of other concomitantly taken drugs. The electrophysiological effects of hypokaliemia and heart rate changes induced by the antiasthmatic drugs were simulated with the use of the cardiac safety simulator. Biophysically detailed model of the human cardiac physiology—ten Tusscher ventricular cardiomyocyte cell model—was employed to generate pseudo-ECG signals and QTc intervals for 44 patients from four clinical studies. Simulated and observed mean QTc values with standard deviation (SD) for each reported study point were compared and differences were analyzed with Student’s t test (α?=?0.05). The simulated results reflected the QTc interval changes measured in patients, as well as their clinically observed interindividual variability. The QTc interval changes were highly correlated with the change in plasma potassium both in clinical studies and in the simulations (Pearson’s correlation coefficient?>?0.55). The results suggest that the modeling and simulation approach could provide valuable quantitative insight into the cardiological effect of the potassium and heart rate changes caused by electrophysiologically inactive, non-cardiological drugs. This allows to simulate and predict the joint effect of several risk factors for QT prolongation, e.g., drug-dependent QT prolongation due to the ion channels inhibition and the current patient physiological conditions.     

社区常见恶性肿瘤筛查研究

目的探寻一种简便的恶性肿瘤初筛自查方法。方法将人体肿瘤分为三类:体表肿瘤约占15％;空腔脏器肿瘤占65％;深层实体脏器肿瘤20％。通过科普宣传教育,让群众学会自查体表部位肿瘤,每年用自查盒助查各空腔脏器有无微量出血,隐血阳性时,去医院进一步精查。北京部分大学选40～70岁居民1万人,分成试验组、对照组各5千人。结果试验四年后:试验组共查出79例癌,年平均癌检出率482.5人/10万,癌死亡率为12.2/10万;对照组癌死亡率206.2人/10万,两组有显著性差异。在癌症高发区,同时作扩大普查试验:广东四会市肿瘤所,在门诊普查1669人,检出25例癌,鼻咽癌占24例。1999～2000年,江苏省食管胃癌高发区,普查近8万人,检出480例癌。加上“九五”以前的普查统计,用秦氏自查盒已筛查431075人,检出1272例癌,癌前病变1万多例。结论试验证明该方案设计合理,在当前是一种最简便的恶性肿瘤初筛自查方法。     

Health effects of airborne particulate matter trace elements

The effects of airborne particulate matter （PM） trace elements on health are widely concerned nowadays. Many achievements have been made while many unknowns exist. This article reports the recent research progresses, describes the effects of exposure to PM trace elements on health epidemiological evidence, toxicology findings, and raises some questions for future studies.     

Cost evolution of biological agents for the treatment of spondyloarthritis in a tertiary hospital: influential factors in price

Background Spending on biological agents has risen dramatically due to the high cost of the drugs and the increased prevalence of spondyloarthritis. Objective To evaluate the annual cost per patient and cost for each biological drug for treating patients with spondyloarthritis from 2009 to 2016, and to calculate factors that affect treatment cost, such as optimizing therapies by monitoring drug serum levels, the use of biosimilar-TNF inhibitors, and official discounts or negotiated rebates in biologicals acquired by the pharmacy department. Method Retrospective, observational study in a Spanish tertiary hospital. Main outcome Annual cost per patient and per drug. Factors that influenced the costs and socio-demographic parameters and disease activity. Results A total of 129, 215, and 224 patients were treated in 2009, 2013, and 2016, respectively. The annual cost per patient decreased: EUR11,604 in 2009, EUR8513 in 2013, and EUR7464 in 2016. The introduction of new drugs drives economic competition, leading to total savings per drug, with discounts reaching 5.8, 12.4, 16.7, 17.7, 13.7, and 24.8% for original infliximab, etanercept, adalimumab, ertolizumab, golimumab, and secukinumab, respectively, while rebates for biosimilar infliximab reached 31.90% in 2016. The number of patients with optimized therapies reached 47.5% in 2016, which led to cost savings of EUR798,614, in addition to savings from official discounts and rebates of EUR252,706 and savings from optimized therapies of EUR545,908 in 2016. Conclusion The cost of biological treatments declined after official discounts, negotiated rebates, and optimized therapies, leading to a significant decrease in the annual cost per patient. The greatest contribution to economic savings in biological therapy according to our study was biological therapy optimization.     

Evaluation of the effect of acetazolamide versus mannitol on cisplatin-induced nephrotoxicity,a pilot study

Background Cisplatin-induced nephrotoxicity still occurs despite the intensive hydration approach adapted to prevent its occurrence. Objective Evaluation of the effect of acetazolamide (ACTZ) on minimizing cisplatin-induced nephrotoxicity compared to mannitol when added to hydration regimen. Setting Nasser Institute Cancer Center (NICC), Cairo, Egypt. Method A total of 35 patients planned to receive cisplatin were divided into two groups: 20 patients received mannitol and 15 patients received ACTZ. Both groups received standard hydration measures as well for prevention of cisplatin-induced nephrotoxicity. Main outcome measure Patients’ kidney function was assessed using serum creatinine, creatinine clearance and blood urea nitrogen. Kidney injury was assessed using RIFLE criteria. Patients’ liver function tests and hematological parameters were also monitored. Results Patients in the mannitol group showed higher risk of developing kidney injury (30%) whereas those in the ACTZ group showed lower risk (8.9%), relative risk (RR) 0.269, 95% CI 0.108–0.815. No statistically significant difference occurred between the two groups concerning liver function tests or hematological parameters. Conclusion Use of ACTZ in addition to intensive hydration may have more beneficial effect on minimizing cisplatin-induced nephrotoxicity compared to mannitol plus intensive hydration approach. A large multicenter randomized clinical trials is recommended to confirm study results and to assess effect of ACTZ on tumor response.     

Pharmacovigilance workflow in Europe and Italy and pharmacovigilance terminology

The terminology used in pharmacovigilance can cause confusion, because there are similar terms that describe different phenomena (e.g. adverse reactions, adverse drug reactions, and side effects). Incorrect use of terminology can have negative effects on the reporting of adverse drug reactions and on the interpretation of these reports. To explain the most common terms used in pharmacovigilance, this article first describes the pharmacovigilance workflow process in the European Union and, as an example, in Italy. Then, the article reviews common pharmacovigilance terms.