Exploring the Potential of DNA Computing for Complex Big Data Problems: A Case Study on the Traveling Car Renter Problem.

The traveling car renter problem (TCRP) is a variant of the Traveling Salesman Problem (TSP) wherein the salesman utilizes rented cars for travel. The primary objective of this problem is to identify a solution that minimizes the cumulative operating costs. Given its classification as a non-deterministic polynomial (NP) problem, traditional computers are not proficient in effectively resolving it. Conversely, DNA computing exhibits unparalleled advantages when confronted with NP-hard problems. This paper presents a DNA algorithm, based on the Adleman-Lipton model, as a proposed approach to address TCRP. The solution for TCRP can be acquired by following a series of fundamental steps, including coding, interaction, and extraction. The time computing complexity of the proposed DNA algorithm is O(n2m) for TCRP with n cities and m types of cars. By conducting simulation experiments, the solutions for certain instances of TCRP are computed and compared to those obtained by alternative algorithms. The proposed algorithm further illustrates the potential of DNA computing, as a form of parallel computing, to address more intricate large-scale problems.

A Novel Algorithm for Solving the Prize Collecting Traveling Salesman Problem Based on DNA Computing.

DNA computing is a new pattern of computing that combines biotechnology and information technology. As a new technology born in less than three decades, it has developed at an extremely rapid rate, which can be attributed to its advantages, including high parallelism, powerful data storage capacity, and low power consumption. Nowadays, DNA computing has become one of the most popular research fields worldwide and has been effective in solving certain combinatorial optimization problems. In this study, we use the Adleman-Lipton model based on DNA computing for solving the Prize Collecting Traveling Salesman Problem (PCTSP) and demonstrate the feasibility of this model. Then, we design a simulation experiment of the model to solve some open instances of PCTSP. The results illustrate that the model can satisfactorily solve these instances. Finally, the comparison with the results of the Clustering Search algorithm and the Greedy Stochastic Adaptive Search Procedure/Variable Neighborhood Search method reveals that the optimal solutions obtained by this simulation experiment are significantly superior to those of the other two algorithms in all instances. This research also provides a method for proficiently solving additional combinatorial optimization problems.

High-mobility spin-polarized two-dimensional electron gas at the interface of EuTiO3/SrTiO3heterostructures.

Spin polarization of two-dimensional electron gas (2DEG) at the interface of EuTiO3/SrTiO3(STO) heterostructures has been theoretical predicted and experimentally observed via x-ray magnetic circular dichroism and polarized x-ray absorption spectroscopy, which, however, is lack of magnetotransport evidence. Here, we report the fabrication of high-quality EuTiO3/STO heterostructures by depositing antiferromagnetic insulating EuTiO3thin films onto STO substrates. Shubnikov-de Haas oscillation, Hall, and magnetoresistance (MR) measurements show that the interface is not only highly conducting, with electron mobility up to5.5×103cm2V-1s-1at 1.8 K, but also shows low-field hysteretic MR effects. MR of ∼9% is observed at 1.8 K and 20 Oe, which is one order of magnitude higher than those observed in other spin-polarized 2DEG oxide systems. Moreover, the heterostructures show ferromagnetic hysteresis loops. These results demonstrate that the high-mobility 2DEG is spin polarized, whose origin is attributed to the interfacial Ti3+-3dstates due to oxygen deficiency and the exchange interactions between interfacial Eu spins and itinerant Ti-3delectrons.

Magnetotransport and magnetic properties of Cr-modified Mn2Sb epitaxial thin films.

High-quality Mn2-xCrxSb (x = 0.01, 0.04, and 0.1) epitaxial thin films were grown on SrTiO3 (STO) (001) single-crystal substrates using molecular beam epitaxy. Magnetotransport and magnetic measurements reveal that the x = 0.01 sample undergoes a quasi-ferrimagnetic (I) [Q-FIM(I)]-to-ferrimagnetic (II) [FIM(II)] spin reorientation (SR) transition and a giant magnetoresistance (MR) associated first-order ferrimagnetic(II)-to-antiferromagnetic (AFM) phase transition upon cooling, resulting in the AFM ground state with a weak in-plane net moment. Upon increasing the doping level from x = 0.01 to 0.1, both the SR transition and the first-order magnetic transition are suppressed. For x = 0.1, the former transition is suppressed, leaving only the Q-FIM(I)-to-AFM transition within the whole temperature region. TAFM-FIM shows almost similar changes upon the application of either in-plane or out-of-plane magnetic fields. TAFM-FIM values of the x = 0.01 and 0.04 samples are much higher than those of the Mn2-xCrxSb bulk with similar doping levels, which can be understood by the clamping effect from STO substrates. For each thin-film sample, the MR effect is observed near TAFM-FIM and disappears in the high temperature Q-FIM(I) phase and low temperature AFM phase, indicating that MR is related to the spin-dependent electron scattering during the first-order magnetic phase transition. Based on the magnetotransport and magnetic data, a magnetic phase diagram is established for the Mn2-xCrxSb films in the low doping level region.

Correction: Magnetotransport and magnetic properties of Cr-modified Mn2Sb epitaxial thin films.

Correction for 'Magnetotransport and magnetic properties of Cr-modified Mn2Sb epitaxial thin films' by Ting-Wei Chen et al., Phys. Chem. Chem. Phys., 2023, 25, 5785-5794, https://doi.org/10.1039/D2CP05442F.

[Screening for chromosomal abnormalities using nuchal translucency measurement with materal serum biochemistry markers in first trimester].

OBJECTIVE: To Investigate the performance of prenatal screening for chromosomal abnormalities in first trimester. METHODS: Maternal serum were collected from 2 739 pregnant women between 11 and 14 weeks gestation. Free beta human chorionic gonadotrophin(beta-hCG), pregnancy-associated plasma protein(PAPP-A) from materal serum were measured using time resolved fluorescence immunoassay(TRFIA) and fetal nuchal translucency(NT) thickness were measured using transabdominal or transvaginal ultrasound. 22 chromosomal defects were diagnosed in 22 cases using karyotyping. The levels of three markers were analyzed among 22 cases and 870 controls. RESULTS: The level of three markers were significant difference between affected and unaffected pregnancies. In affected cases, the value or level of NT and free beta-hCG were higher, while the level of PAPP-A was lower. We found that screening for chromosomal defects using a combination of NT and serum biochemistry was associated with a detection rate of 91.67% for all types of chromosomal defects, with a false-positive rate of 11.16%. CONCLUSION: A combination of nuchal translucency measurement with materal serum biochemistry markers provides an effective method of screening for chromosomal defects.

[Establishment of permanent lymphoblastoid cell lines of 47 patients with abnormal chromosome karyotype].

To increase the efficiency of in vitro transformation of human lymphocytes by Epstein-Barr virus (EBV) and establish permanent lymphoblastoid cell lines from patients with abnormal chromosome karyotype, B lymphoid cells were prepared from cryopreserved heparinized blood samples. The lymphoid cell pellet was resuspended with 0.5 ml medium of RPMI with 20% fetal calf serum(FCS), and added 2 ml virus-containing superatant of the EB virus-producing cell lines by filtrated, and mixed. Four 25 cm2 cell culture bottles were put upright. A total of 2.5 ml of RPMI with 20% FCS was put in each of them. The blood-virus mixture was distributed among the four cell culture bottles as follows: Bottle I, Bottle II, Bottle III and Bottle IV were added with 0.3 ml, 0.6 ml, 1.2 ml and the rest respectively. The cells culture bottles were put into the cell culture incubator in an upright position. After 3 days the cells were puting new medium with 20% FCS as follows: Bottle I 3 ml, Bottle II 4 ml, Bottle III 5 ml and Bottle IV 6 ml. After one week, the medium was changed again as described above. The medium change was conducted until the cells grew very fast. The right ratio between blood cells and virus titer can not be exactly determined for every blood sample, and therefore a dilution series with four different blood/virus ratios was set up. Due to the dilution series, addition of immune inhibitors like cyclosporine, was not necessary. Forty-seven permanent lymphoblastoid cell lines of patients with abnormal chromosome karyotype. Transformed cells were found in only one or two of the four cell culture bottles. The total successive rate increased up to 97.87%. Of the four cell culture bottles, Bottle I, Bottle II, Bottle III and Bottle IV, the successive rates were 6.39%, 61.70%, 31.91% and 8.51% respectively. This method can be used for preserving large number of lymphoblastoid cell lines, and also provide enough research materials for further studies.

[Genetic polymorphism of six STR loci in the Han population in Henan province].

To investigate the allele frequencies of six short tandem repeats (STR) loci: F13A1, F13B, D8S1179, CSF1PO, D5S818 and TPOX in Han population in Henan province, DNA was extracted with chelex from EDTA-blood samples of the unrelated individuals in Henan province and amplified with PCR technique. The PCR product was analyzed with the undenatured PAGE vertical electrophoresis and silverstain. The results were obtained through genetical analysis. The authors got the number of allele of six loci, Three alleles of F13A1 could be detected in this population. The F13A1 * 7 is the most common allele with a frequency of 45.2%, followed by F13A1 * 5 and F13A1 * 4 respectively. F13B had four alleles among which F13B * 10 has the highest frequency, followed by F13B * 9, F13B * 8, F13B * 11. The 8 alleles of D8S1179 in the order from high to low frequency is D8S1179 * 14, * 15, * 12, * 11, * 10. And the most common frequencies of alleles of CSF1PO, D5S818, TPOX ore CSF1PO * 12, D5S818 * 11, TPOX * 8, respectively followed by the allele of * 11, * 14, * 10, * 13 in CSF1PO locus, and * 12, * 13, * 10, * 9, * 14, * 8, * 15, * 7 in D5S818 locus, * 11, * 9, * 12, * 10 in TPOX locus. The heterozygosities of the six loci were 0.62, 0.46, 0.83, 0.59, 0.78 and 0.65; the discrimination powers were 0.78, 0.66, 0.95, 0.79, 0.92 and 0.82. The heterozygosities of the six loci are high and the frequencies are in good agreement with Hardy-Weinberg equilibrium. The six loci are good as genetic markers. We can use these loci in dividualidentification and partenity test in forensic area.