In this study, we investigate a new fractional-order mathematical model which considers population dynamics among tumor cells-macrophage cells-active macrophage cells, and host cells involving the Caputo fractional derivative. Firstly, the stability of the positive steady state of the model is studied. Subsequently, the conditions for existence and uniqueness of the solutions are examined. Then, the least squares curve fitting method (LSCFM) which is one of the prominent methods for parameter estimation is used to fit the parameters of the model. It is aimed to fit the relevant parameters with the help of the tumor tissue samples which were collected from the patient with non-small cell lung cancer who had chemotherapy-naive hospitalized at Kayseri Erciyes University hospital in Turkey. A total of 12 parameters in the model are estimated using the data of lung tumor cells of this patient for 14 days. Moreover, the numerical simulations are given by considering the different fractional orders and different parameters for the model. So, it is achieved how the change in $$\alpha $$α affects the dynamic behavior of the system. In the sequel, to point out the advantages of the fractional-order modeling, the memory trace and hereditary traits are taken into consideration. Finally, the interpretations in terms of biological science are provided in conclusion. We believe that this interdisciplinary study will open new doors for other similar studies and will shed light on the studies to be developed on the use of real data in the mathematical modeling of cancer.

Hydatid cyst disease is still a problem in many countries. Surgical removal is currently the generally accepted choice of treatment for lung hydatidosis. However, operating on bilateral widespread lung hydatidosis is still controversial. The aim of this retrospective study was to evaluate the results of surgical treatment in bilateral multiple hydatid disease of the lung.

Purpose: The aim of this study is to evaluate the results of parenchymal saving methods for giant lung hydatid cysts and to discuss the necessity of anatomic lung resection in childhood.Methods: The patients under the age of 16 years who were operated between January 2000 and January 2017 due to pulmonary hydatid cyst were evaluated retrospectively (n = 200). In all, 32 patients who had giant hydatid cyst were included in this study. Parenchymal saving methods (cystotomy–capitonnage) were preferred and decortication was also performed for pleural thickening if needed. No lung resections were applied.Results: Male patients were 53.1%. The mean age was 11.3 ± 3.2 years. The total number of giant cysts was 32. The average size of the cysts was 11 cm. Thirty seven point five percent of the cysts were perforated. Postoperative complication rate was 31.3%. No recurrence and mortality were seen during follow-up period.Conclusion: Considering the high recovery capacity of lung tissue, a chance should be given to recover the existing infection, atelectasis, and parenchymal damage. Especially in areas where hydatid disease is endemic, children may be infected with the parasite again. For these reasons, we do not recommend resection with any indications.

The pressure, size, and central or peripheral location of lung hydatid cysts are the most studied topics among the factors affecting perforation. The aim of this study is to investigate the relation between the location and the perforation rate of lung hydatid cysts in children. 197 patients under the age of 16 years, who were operated between January 2000 and December 2016 due to pulmonary hydatid cysts, were evaluated retrospectively. Patients who had giant hydatid cysts (n = 27), bilateral hydatid cysts (n = 24), and more than one cyst in one lung (n = 12) were excluded to create a more homogeneous group to enable investigation of the relation between the location and the perforation rates of hydatid cysts. Finally, 134 patients who had only one hydatid cyst were classified into two groups: Group 1 with perforated cysts and Group 2 with intact hydatid cysts. 70.9% of the patients were male. In total, 134 cysts were detected and 41% were perforated. The highest perforation rates were detected in the right middle lobe (70%) and the lingula (66.7%). There was a statistically significant difference between the location of the cysts and the perforation rates (p = 0.018). Also hydatid cysts located in the right middle lobe and the lingula had higher postoperative complication rates than hydatid cysts located in the upper and lower lobes (p = 0.018). We recommend surgical treatment as soon as possible in children with hydatid cysts located in the right middle lobe and lingula to prevent the risk of perforation.

OBJECTIVES: Sternal fractures (SFs) are rare pathologies that mainly occur as a result of traffic accidents, which can cause mortality due to concomitant complications. In this study, we aimed to evaluate clinical processes and termination status of patients diagnosed with a SF in the emergency department. METHODOLOGY: Patients diagnosed with a SF in the emergency department during 8 years were retrospectively reviewed. The demographic and clinical characteristics of the patients were recorded, and standard data forms were created. RESULTS: In total, 128 patients were included in the study; 81 (63.3%) patients were male, and the mean age was 49.4 years. When the fracture mechanism was examined, car traffic accidents were the most common type and the cause of fracture in 85 (66.4%) patients. The most common thoracic pathology accompanying SFs was rib fractures (35.9%), and the most common extrathoracic pathology was cranial pathology (27.3%). Pericardial effusion was detected in 12 (9.4%) patients. Of the participating patients, one died and the others were hospitalized. CONCLUSION: Since SFs and associated complications can be life-threatening, emergency room physicians should consider it in the diagnosis. In particular, the necessary examinations and follow-up should be done to assess cardiac damage.

Median sternotomy or staged thoracotomies are generally the preferred surgical treatment options for bilateral lung hydatid cysts. According to literature, it is usually recommended to wait from 3 weeks to 3 months between bilateral staged thoracotomies. The aim of this study is to compare postoperative complications, hospitalization days and morbidity and mortality ratios between unilateral thoracotomy and bilateral staged thoracotomy groups and to evaluate the safety of performing bilateral staged thoracotomy within 1 week for lung hydatid cysts in pediatric patients. In total, 112 patients under the age of 16 years who underwent surgery between 2000 and 2016 because of pulmonary hydatid cysts were included in this study. The patients were classified into two groups as Group 1 (unilateral muscle-sparing thoracotomy) and Group 2 (bilateral staged muscle-sparing thoracotomy applied within 1 week). There were 91 patients in Group 1 and 21 patients in Group 2. No statistically significant differences were detected when both groups were compared by age, gender, perforation rates, follow-up period and postoperative complications. To prevent hydatid cysts complications, the elapsed time between two thoracotomies should be not only long enough to evaluate the postoperative complications but also relatively short to prevent possible complications that may develop in the other lung. In our opinion, a patient follow-up of 3-7 days between thoracotomies is sufficient for the assessment of patients' clinical status and possible complications.