SPECT Imaging of P. aeruginosa Infection in Mice Using 123I-BMIPP.

Pseudomonas aeruginosa infection is an infectious disease that must be controlled because it becomes chronic and difficult to treat, owing to its unique system of toxin production/injection and elimination of other bacteria. Here, we noninvasively monitored P. aeruginosa using single-photon emission computed tomography (SPECT) imaging. Determining the amount and localization of the P. aeruginosa will enable making faster clinical diagnoses and selecting the most appropriate therapeutic agents and methods. Nonclinically, this information can be used for imaging in combination with biofilms and toxin probes and will be useful for discovering drugs targeting P. aeruginosa. To study P. aeruginosa accumulation, we conducted in vitro and in vivo studies using iodine-123 ß-methyl-p-iodophenyl-pentadecanoic acid (123I-BMIPP), which we previously reported using for Escherichia coli. In vitro, 123I-BMIPP accumulated in P. aeruginosa by being taken up into the bacteria and adsorbing to the bacterial surface. In vivo, 123I-BMIPP accumulated significantly more in infected sites than in noninfected sites and could be quantified by SPECT. These results suggest that 123I-BMIPP can be used as a probe for P. aeruginosa for SPECT. Establishing a noninvasive monitoring method using SPECT will allow further progress in studying P. aeruginosa.

Chiral Tetrakis Eu(III) Complexes with Ammonium Cations for Improved Circularly Polarized Luminescence.

Large dissymmetry factor of the circularly polarized luminescence (gCPL) was observed in ligand and coordination tuned chiral tetrakis europium (Eu(III)) complexes with ammonium cations. The gCPL value was estimated to be -1.54, which is the largest among chiral luminescent molecules. Through photophysical measurements, single crystal X-ray structural analyses and quantum chemical calculations, changes in the geometric and electronic structures were observed for a series of chiral tetrakis Eu(III) complexes which enhanced the gCPL value. The emission quantum yield and photosensitized energy transfer efficiencies of chiral Eu(III) complexes with ammonium cations were also larger than that with previous Cs+. Based on the systematic modifications and analyses for chiral tetrakis Eu(III) complex, effect of the ammonium cation on enhanced CPL brightness is reported.

An encompassed representation of timescale hierarchies in first-order reaction network.

Complex networks are pervasive in various fields such as chemistry, biology, and sociology. In chemistry, first-order reaction networks are represented by a set of first-order differential equations, which can be constructed from the underlying energy landscape. However, as the number of nodes increases, it becomes more challenging to understand complex kinetics across different timescales. Hence, how to construct an interpretable, coarse-graining scheme that preserves the underlying timescales of overall reactions is of crucial importance. Here, we develop a scheme to capture the underlying hierarchical subsets of nodes, and a series of coarse-grained (reduced-dimensional) rate equations between the subsets as a function of time resolution from the original reaction network. Each of the coarse-grained representations guarantees to preserve the underlying slow characteristic timescales in the original network. The crux is the construction of a lumping scheme incorporating a similarity measure in deciphering the underlying timescale hierarchy, which does not rely on the assumption of equilibrium. As an illustrative example, we apply the scheme to four-state Markovian models and Claisen rearrangement of allyl vinyl ether (AVE), and demonstrate that the reduced-dimensional representation accurately reproduces not only the slowest but also the faster timescales of overall reactions although other reduction schemes based on equilibrium assumption well reproduce the slowest timescale but fail to reproduce the second-to-fourth slowest timescales with the same accuracy. Our scheme can be applied not only to the reaction networks but also to networks in other fields, which helps us encompass their hierarchical structures of the complex kinetics over timescales.

Guest-Responsive Near-Infrared-Luminescent Metal-Organic Cage Organized by Porphyrin Dyes and Yb(III) Complexes.

Metal-organic cages (MOCs) with luminophores have significant advantages for the facile detection of specific molecules based on turn-on or turn-off luminescence changes induced by host-guest complexation. One important challenge is the development of turn-on-type near-infrared (NIR)-luminescent MOCs. In this study, we synthesized a novel MOC consisting of two porphyrin dyes linked by four Yb(III) complexes, which exhibit bimodal red and NIR fluorescence signals upon photoexcitation of the porphyrin π system. Single-crystal X-ray structural analysis and computational molecular modeling revealed that planar aromatic perfluorocarbons were intercalated into the MOC. The tight packing between the MOC and guests enhanced the NIR fluorescence of Yb(III) by suppressing energy transfer from the photoexcited porphyrin to oxygen molecules. Guest-responsive turn-on NIR fluorescence changes in an MOC were successfully demonstrated.

Use of Mini TightRope® for Delayed Presentation of a Fifth Carpometacarpal Joint Dislocation.

Introduction: Isolated dislocations of the fifth carpometacarpal joint (CMCJ) are uncommon injuries of the hand that is often missed but can be diagnosed correctly with a high index of suspicion and adequate imaging. Treatment for chronic cases is usually open reduction with temporary fixation using Kirschner wires, but for this case, we used Mini TightRope® as well to allow for early finger exercise. The case presented here is unique because of a delayed dislocation of a CMCJ detected 9 weeks from initial injury which was treated with a novel form of fixation with Mini TightRope®. Case Report: A 70-year-old, right-hand dominant, male farmer injured his left hand when he slipped and fell on a concrete surface, landing on the ulnar side of his left hand. He was immediately seen in the clinic, just with a swollen left hand but no obvious deformity and with apparently normal PA and oblique radiographs of the hand. Nine weeks later, he came back due to persistent ulnar-sided hand pain; repeat radiographs and a CT scan of the left hand showed ulno-palmar dislocation of the fifth CMCJ. He then underwent trial closed reduction of the 5th CMCJ dislocation but failed. Open reduction, temporary K-wire fixation, and fixation using Mini TightRope® through the 4th and 5th metacarpals were done. A full range of motion of the hand was allowed immediately post-operative. Reduction was maintained and no complications were noted on subsequent follow-up visits. Conclusion: This paper presents a brief literature review on 5th CMCJ dislocation, discussing the anatomic considerations contributing to joint stability, helpful radiographic parameters for diagnosis, and enumeration of treatment options.

Theoretical Design and Synthesis of Caged Compounds Using X-Ray-Triggered Azo Bond Cleavage.

Caged compounds are frequently used in life science research. However, the light used to activate them is commonly absorbed and scattered by biological materials, limiting their use to basic research in cells or small animals. In contrast, hard X-rays exhibit high bio-permeability due to the difficulty of interacting with biological molecules. With the main goal of developing X-ray activatable caged compounds, azo compounds are designed and synthesized with a positive charge and long π-conjugated system to increase the reaction efficiency with hydrated electrons. The azo bonds in the designed compounds are selectively cleaved by X-ray, and the fluorescent substance Diethyl Rhodamine is released. Based on the results of experiments and quantum chemical calculations, azo bond cleavage is assumed to occur via a two-step process: a two-electron reduction of the azo bond followed by N─N bond cleavage. Cellular experiments also demonstrate that the azo bonds can be cleaved intracellularly. Thus, caged compounds that can be activated by an azo bond cleavage reaction promoted by X-ray are successfully generated.

The regenerative treatment of costal osteochondral graft implantation for partial growth arrest using a rabbit model.

PURPOSE: To investigate the feasibility of cylindrical costal osteochondral graft transplantation as a novel regenerative treatment in growth arrest. METHODS: The medial portion of the proximal tibial growth plate of 6-week-old male New Zealand White rabbits was resected to establish an experimental model of partial growth plate injury. The rabbits were divided into four groups: no-treatment, bone wax transplantation, costal chondral graft, and costal osteochondral graft groups. Radiographic and micro-computed tomography scan results were analyzed to evaluate angular deformity of the tibia and bony bridge formation at the injury site. In addition, repair of the injured growth plate cartilage was assessed histologically at 4, 8, and 12 weeks postoperatively. RESULTS: Radiographic examination revealed that bone wax transplantation continuously decreased the medial proximal tibial angle (MPTA) while the costal chondral graft implantation reduced the decrease of MPTA at 12 weeks postoperatively. The costal osteochondral graft implantation recovered the MPTA, close to the normal. Histologically, the costal osteochondral grafts retained the MPTA in the injured site compared to costal chondral grafts. Additionally, hypertrophic chondrocytes were observed at the graft site in the costal osteochondral graft group at 12 weeks, suggesting that endochondral ossification may occur at the graft site similar to normal ossification. The fluorescence in situ hybridization analysis of osteochondral grafts transplanted from male to female rabbits indicated that they were replaced by cells of host origin. CONCLUSION: The costal osteochondral graft can achieve regeneration without bony bridge formation in partial growth plate injury.

Rehabilitation facilitates functional improvement following intravenous infusion of mesenchymal stem cells in the chronic phase of cerebral ischemia in rats.

The primary objective of this study was to investigate the potential facilitating effects of daily rehabilitation for chronic cerebral ischemia following the intravenous infusion of mesenchymal stem cells (MSC) in rats. The middle cerebral artery (MCA) was occluded by intraluminal occlusion using a microfilament (MCAO). Eight weeks after MCAO induction, the rats were used as a chronic cerebral ischemia model. Four experimental groups were studied: Vehicle group (medium only, no cells); Rehab group (vehicle + rehabilitation), MSC group (MSC only); and Combined group (MSC + rehabilitation). Rat MSCs were intravenously infused eight weeks after MCAO induction, and the rats received daily rehabilitation through treadmill exercise for 20 min. Behavioral testing, lesion volume assessment using magnetic resonance imaging (MRI), and histological analysis were performed during the observation period until 16 weeks after MCAO induction. All treated animals showed functional improvement compared with the Vehicle group; however, the therapeutic efficacy was greatest in the Combined group. The combination therapy is associated with enhanced neural plasticity shown with histological analysis and MRI diffusion tensor imaging. These findings provide behavioral evidence for enhanced recovery by combined therapy with rehabilitation and intravenous infusion of MSCs, and may form the basis for the development of clinical protocols in the future.

Qualitative analysis of expressions used in the end-of-life discussions and their associated factors.

OBJECTIVES: Discussing end-of-life (EOL) issues with patients remains challenging for health professionals. Physicians may use various expressions, including euphemistic ones, when disclosing the prognosis to their patients to reduce their psychological impact. However, the actual expressions of EOL disclosure in clinical practice are unclear. This study aims to investigate the expressions used in EOL disclosures and explore their associated factors. METHODS: A retrospective chart review was conducted enrolling all the patients who died in a university-affiliated hospital. Expressions used in the EOL disclosure were qualitatively analyzed. The patients' participation rate and length from the discussion to death were investigated. RESULTS: EOL disclosures were observed in 341 of 358 patients. The expressions used by the physicians were categorized into 4 groups; Group 1: Clear presentation of life expectancy (n = 106; 31.1%), Group 2: Euphemistic presentation of life expectancy (n = 24; 7.0%), Group 3: Presentation of risk of sudden death (n = 147; 43.1%), Group 4: No mention on life expectancy (n = 64; 18.8%). The proportion of male patients was higher in Group 2 (79%) and lower in Group 4 (56%). Patients with cancer accounted for approximately 70% of Groups 1 and 4, but only approximately 30% of Group 3. The patient participation rate was highest in Group4 (84.4%), followed by Group 2 (50.0%). The median time from EOL disclosure to death was longer in Groups 1 and 4 (26 and 29.5 days, respectively), compared to Groups 2 and 3 (18.5 and 16 days, respectively). SIGNIFICANCE OF RESULTS: A variety of expressions are used in EOL disclosure. Patterns of communication are influenced by patients' gender and type of illness (cancer or noncancer). Euphemisms do not seem to facilitate timely disclosure of life expectancy or patient participation. For health professionals, not only devising the expressions to alleviate their patients' distress when breaking bad news but also considering the communication process and patient background are essential.

Reproducing the Reaction Route Map on the Shape Space from Its Quotient by the Complete Nuclear Permutation-Inversion Group.

This study develops an algorithm to reproduce reaction route maps (RRMs) in the shape space from the outputs of potential search algorithms. To demonstrate the algorithm, global reaction route mapping is utilized as a potential search algorithm, but the proposed algorithm should work with other potential search algorithms in principle. The proposed algorithm does not require any encoding of the molecular configurations and is thus applicable to complicated realistic molecules for which efficient encoding is not readily available. We show that subgraphs of an RRM mapped to each other by the action of the symmetry group are isomorphic and also provide an algorithm to compute the set of feasible transformations in the sense of Longuet-Higgins. We demonstrate the proposed algorithm in toy models and in more realistic molecules. Finally, we remark on absolute rate theory from our perspective.

Characterizing Reaction Route Map of Realistic Molecular Reactions Based on Weight Rank Clique Filtration of Persistent Homology.

A reaction route map (RRM) constructed using the GRRM program is a collection of elementary reaction pathways, each of which comprises two equilibrium (EQ) geometries and one transition state (TS) geometry connected by an intrinsic reaction coordinate (IRC). An RRM can be mathematically represented by a graph with weights assigned to both vertices, corresponding to EQs, and edges, corresponding to TSs, representing the corresponding energies. In this study, we propose a method to extract topological descriptors of a weighted graph representing an RRM based on persistent homology (PH). The work of Mirth et al. [ J. Chem. Phys. 2021, 154, 114114], in which PH analysis was applied to the (3N - 6)-dimensional potential energy surface of an N atomic system, is related to the present method, but our method is practically applicable to realistic molecular reactions. Numerical assessments revealed that our method can extract the same information as the method proposed by Mirth et al. for the 0-th and 1-st PHs, except for the death of the 1-st PH. In addition, the information obtained from the 0-th PH corresponds to the analysis using the disconnectivity graph. The results of this study suggest that the descriptors obtained using the proposed method accurately reflect the characteristics of the chemical reactions and/or physicochemical properties of the system.

Inhibition of P2X4 and P2X7 receptors improves histological and behavioral outcomes after experimental traumatic brain injury in rats.

Release of large amounts of adenosine triphosphate (ATP), a gliotransmitter, into the extracellular space by traumatic brain injury (TBI) is considered to activate the microglia followed by release of inflammatory cytokines resulting in excessive inflammatory response that induces secondary brain injury. The present study investigated whether antagonists of ATP receptors (P2X4 and/or P2X7) on microglia are beneficial for reducing the post-injury inflammatory response that leads to secondary injury, a prognostic aggravation factor of TBI. Adult male Sprague-Dawley rats were subjected to cortical contusion injury (CCI) and randomly assigned to injury and drug treatment conditions, as follows: i) No surgical intervention (naïve group); ii) dimethyl sulfoxide treatment after CCI (CCI-control group); iii) 5-BDBD (antagonist of P2X4 receptor) treatment after CCI (CCI-5-BDBD group); iv) CCI-AZ11645373 (antagonist of P2X7 receptor) treatment after CCI (CCI-AZ11645373 group); v) or 5-BDBD and AZ11645373 treatment after CCI (CCI-5-BDBD + AZ11645373 group). In the CCI-5-BDBD, CCI-AZ11645373, and CCI-5-BDBD + AZ11645373 groups, expression of activated microglia was suppressed in the ipsilateral cortex and hippocampus 3 days after the CCI. Western blotting with ionized calcium-binding adaptor molecule 1 antibody revealed that administration of CCI-5-BDBD and/or CCI-AZ11645373 suppressed expression of microglia and reduced expression of inflammatory cytokine mRNA 3 days after the CCI. Furthermore, the plus maze test, which reflects the spatial memory function and involves the hippocampal function, showed improvement 28 days after secondary injury to the hippocampus. These findings confirmed that blocking the P2X4 and P2X7 receptors, which are ATP receptors central in gliotransmission, suppresses microglial activation and subsequent cytokine expression after brain injury, and demonstrates the potential as an effective treatment for reducing secondary brain injury.

Computational survey of humin formation from 5-(hydroxymethyl)furfural under basic conditions.

A comprehensive reaction-path search for the oligomerization of 5-(hydroxymethyl)furfural (HMF) based on quantum chemical calculations was conducted to clarify the mechanism of humin formation in the oxidation of HMF to furan-2,5-dicarboxylic acid (FDCA), in which humin is a typical macromolecular byproduct. The present procedure repeatedly utilizes the multi-component artificial-force-induced reaction (MC-AFIR) method to investigate multistep oligomerization reactions. Although humin formation has been reported even in reagent-grade HMFs with 97-99% purity during their storage at low temperatures, no direct addition path of two HMFs with <185 kJ mol-1 barrier has been found, suggesting humin formation is caused by a reaction with impurities. Based on the reaction conditions, we considered the reactions of HMF + H2O, HMF + OH-, and HMF + O2 and identified three reaction paths with <65 kJ mol-1 barrier for the reaction of HMF + OH-. Further, the suppression of humin formation by the acetal protection of HMF is computationally confirmed.

Characteristics of Developmental and Healing Process of Docetaxel-Induced Lower Limb Edema in Patients with Stage IV Breast Cancer: A Case Series.

Background: Management of docetaxel-induced edema is important as severe edema may lead to discontinuation of chemotherapy. Patients with stage IV breast cancer (BC) treated with docetaxel have shown lower limb edema; however, details of its developmental and healing processes are unknown, and thus management strategies have not been established. The aim of this study was to investigate the characteristics of the development and healing process of docetaxel-induced lower limb edema in stage IV BC patients. Methods: This prospective observational study was conducted on patients with BC who were administered docetaxel between September 2020 and September 2021 at a National Hospital in Japan. Skin changes such as pitting test, circumference, along with ultrasound images and subjective symptom changes were evaluated. The progression of these changes was compared between patients with stage IV and non-stage IV disease. Results: Five patients were enrolled in the study, of which two and one patients with stage IV and non-stage IV disease, respectively, developed lower limb edema. Early signs of lower limb edema were observed in ultrasound images, 15 cm below the peroneal head, before edema was confirmed by the pitting test and subjective symptoms. In patients with stage IV disease, edema worsened to Grade 3, and reduced four months after the end of drug administration. Conclusion: For patients with stage IV disease, care should be initiated from the time the early signs are observed using ultrasound and continued for up to four months after the end of docetaxel administration.

Evaluation of L-Alanine Metabolism in Bacteria and Whole-Body Distribution with Bacterial Infection Model Mice.

The World Health Organization has cautioned that antimicrobial resistance (AMR) will be responsible for an estimated 10 million deaths annually by 2050. To facilitate prompt and accurate diagnosis and treatment of infectious disease, we investigated the potential of amino acids for use as indicators of bacterial growth activity by clarifying which amino acids are taken up by bacteria during the various growth phases. In addition, we examined the amino acid transport mechanisms that are employed by bacteria based on the accumulation of labeled amino acids, Na+ dependence, and inhibitory effects using a specific inhibitor of system A. We found that 3H-L-Ala accurately reflects the proliferative activity of Escherichia coli K-12 and pathogenic EC-14 in vitro. This accumulation in E. coli could be attributed to the amino acid transport systems being different from those found in human tumor cells. Moreover, biological distribution assessed in infection model mice with EC-14 using 3H-L-Ala showed that the ratio of 3H-L-Ala accumulated in infected muscle to that in control muscle was 1.20. By detecting the growth activity of bacteria in the body that occurs during the early stages of infection by nuclear imaging, such detection methods may result in expeditious diagnostic treatments for infectious diseases.

Biological Distribution after Oral Administration of Radioiodine-Labeled Acetaminophen to Estimate Gastrointestinal Absorption Function via OATPs, OATs, and/or MRPs.

We evaluated the whole-body distribution of orally-administered radioiodine-125 labeled acetaminophen (125I-AP) to estimate gastrointestinal absorption of anionic drugs. 125I-AP was added to human embryonic kidney (HEK)293 and Flp293 cells expressing human organic anion transporting polypeptide (OATP)1B1/3, OATP2B1, organic anion transporter (OAT)1/2/3, or carnitine/organic cation transporter (OCTN)2, with and without bromosulfalein (OATP and multidrug resistance-associated protein (MRP) inhibitor) and probenecid (OAT and MRP inhibitor). The biological distribution in mice was determined by oral administration of 125I-AP with and without bromosulfalein and by intravenous administration of 125I-AP. The uptake of 125I-AP was significantly higher in HEK293/OATP1B1, OATP1B3, OATP2B1, OAT1, and OAT2 cells than that in mock cells. Bromosulfalein and probenecid inhibited OATP- and OAT-mediated uptake, respectively. Moreover, 125I-AP was easily excreted in the urine when administered intravenously. The accumulation of 125I-AP was significantly lower in the blood and urinary bladder of mice receiving oral administration of both 125I-AP and bromosulfalein than those receiving only 125I-AP, but significantly higher in the small intestine due to inhibition of OATPs and/or MRPs. This study indicates that whole-body distribution after oral 125I-AP administration can be used to estimate gastrointestinal absorption in the small intestine via OATPs, OATs, and/or MRPs by measuring radioactivity in the urinary bladder.

Establishment of a BRAF V595E-mutant canine prostate cancer cell line and the antitumor effects of MEK inhibitors against canine prostate cancer.

Canine prostate cancer (cPCa) is a malignant neoplasm with no effective therapy. The BRAF V595E mutation, corresponding to the human BRAF V600E mutation, is found frequently in cPCa. Activating BRAF mutations are recognized as oncogenic drivers, and blockade of MAPK/ERK phosphorylation may be an effective therapeutic target against BRAF-mutated tumours. The aim of this study was to establish a novel cPCa cell line and to clarify the antitumor effects of MEK inhibitors on cPCa in vitro and in vivo. We established the novel CHP-2 cPCa cell line that was derived from the prostatic tissue of a cPCa patient. Sequencing of the canine BRAF gene in two cPCa cell lines revealed the presence of the BRAF V595E mutation. MEK inhibitors (trametinib, cobimetinib and mirdametinib) strongly suppressed cell proliferation in vitro, and trametinib showed the highest efficacy against cPCa cells with minimal cytotoxicity to non-cancer COPK cells. Furthermore, we orally administered 0.3 or 1.0 mg/kg trametinib to CHP-2 xenografted mice and examined its antitumor effects in vivo. Trametinib reduced tumour volume, decreased phosphorylated ERK levels, and lowered Ki-67 expression in xenografts in a dose-dependent manner. Although no clear adverse events were observed with administration, trametinib-treated xenografts showed osteogenesis that was independent of dosage. Our results indicate that trametinib induces cell cycle arrest by inhibiting ERK activation, resulting in cPCa tumour regression in a dose-dependent manner. MEK inhibitors, in addition to BRAF inhibitors, may be a targeted agent option for cPCa with the BRAF V595E mutation.

Digital Neuropathy by Hypertrophy and Hyperplasia of Pacinian Corpuscle - Usefulness of Microscopic Resection.

We present a patient with Pacinian corpuscle hypertrophy and hyperplasia in the hand and discuss the diagnosis and treatment of this rare condition. A 46-year-old woman presented with radiating pain of the left middle finger. A strong Tinel-like sign was elicited between the index and middle fingers. The patient frequently used mobile phone, with the corner of the phone consistently applying pressure on the palm. The surgery was carried out under the microscope and two enlarged cystic lesions under the epineurium were found in the proper digital nerve. Histologic examination revealed hypertrophied Pacinian corpuscle with normal structure. Postoperatively, her symptoms gradually improved. Preoperative diagnosis of this disease is very difficult. Hand surgeons should keep this disease in mind preoperatively. In our case, we would not have been able to identify multiple hypertrophic Pacinian corpuscles without the microscope. An operating microscope is recommended in a surgery of this nature. Level of Evidence: Level V (Therapeutic).

Intraneural Ganglion of the Thumb Digital Nerve - A Case Report and Review of Literature.

Intraneural ganglia are rare, benign cysts that form within the epineurium of the affected nerve. Patients present with features of compressive neuropathy, including numbness. We report a 74-year-old male patient with pain and numbness on his right thumb of 1-year duration. Magnetic resonance imaging revealed a cystic lesion with a possible scaphotrapezium-trapezoid joint connection. The articular branch was not identified during the surgery and decompression with excision of the cyst wall was done. A recurrence of the mass was noted 3 years later, but the patient was asymptomatic and no additional intervention was done. Decompression alone can relieve the symptoms of an intraneural ganglion, but excision of the articular branch may be essential in preventing its recurrence. Level of Evidence: Level V (Therapeutic).

Divide-and-Conquer Linear-Scaling Quantum Chemical Computations.

Fragmentation and embedding schemes are of great importance when applying quantum-chemical calculations to more complex and attractive targets. The divide-and-conquer (DC)-based quantum-chemical model is a fragmentation scheme that can be connected to embedding schemes. This feature article explains several DC-based schemes developed by the authors over the last two decades, which was inspired by the pioneering study of DC self-consistent field (SCF) method by Yang and Lee (J. Chem. Phys. 1995, 103, 5674-5678). First, the theoretical aspects of the DC-based SCF, electron correlation, excited-state, and nuclear orbital methods are described, followed by the two-component relativistic theory, quantum-mechanical molecular dynamics simulation, and the introduction of three programs, including DC-based schemes. Illustrative applications confirmed the accuracy and feasibility of the DC-based schemes.