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At least 19 records

Oncologic Outcomes of Self-Expandable Metallic Stent as a Bridge to Surgery and Safety and Feasibility of Minimally Invasive Surgery for Acute Malignant Colonic Obstruction

Background: Although self-expandable metal stents (SEMS) are widely used as a bridge to surgery (BTS) in patients with malignant colorectal cancer obstruction, there has been some debate about their effect on long-term oncological outcomes. Furthermore, data on the safety and feasibility of minimally invasive surgery (MIS) combined with stent placement are scarce. We aimed to determine the long-term oncological outcomes of SEMS as a BTS, and the short-term outcomes of SEMS used with minimally invasive colorectal surgery. Methods: Data from patients who were admitted with malignant obstructing colon cancer between January 2006 and December 2015 were retrospectively reviewed; 71 patients underwent direct surgery and 182 patients underwent SEMS placement as a BTS. Long-term and short-term outcomes of the groups were compared. In a subgroup analysis of the BTS group, the short-term outcomes of conventional open surgery and MIS were compared. Results: There were no differences in long-term oncologic outcomes between groups. The primary anastomosis rate was higher in the stent group than in the direct surgery group. In the stent group, postoperative complication rates were lower in the minimally invasive group than in the open surgery group. Time to flatus and time to soft diet resumption were shorter in the minimally invasive group, as was length of hospital stay. Conclusions: Elective surgery after stent insertion does not adversely affect long-term oncologic outcomes. Furthermore, MIS combined with stent insertion for malignant colonic obstruction is safe and feasible.

60 APPLIED LIFE SCIENCES↗

Surgery or Radiotherapy of the Primary Tumor in T1–2 Head and Neck Squamous Cell Carcinoma with Resectable N3 Nodes: A Multicenter GETTEC Study

Background: The prognosis of advanced nodal (N3) squamous cell carcinoma of the head and neck (HNSCC) is poor. We investigated whether surgery or radiotherapy of early (T1–2) primary stage HSNCC is preferable to limit the overall morbidity after upfront neck dissection (uND) for N3 disease. Methods: This retrospective multicentric Groupe d’Étude des Tumeurs de la Tête Et du Cou study included patients undergoing uND and surgery or radiotherapy of their primary. Prognostic factors were evaluated using propensity score matching to account for biases in performing surgery depending on primary site and stage. Results: Of 189 T1–2, N3 HNSCC patients, 70 (37.0%) underwent uND: 42 with surgery of their primary and 28 with radiotherapy only. Radiotherapy alone was more frequent in patients with hypopharyngeal primaries. All local (N = 3) and regional (N = 10) relapses (included 2 locoregional relapses) occurred within the first 2 years. There were 16 distant metastatic failures. Five-year locoregional relapse and survival incidences were 15.7% and 66.5% and were similar regardless of the treatment of the primary. The overall morbidity rate was 65.2% and was similar after weighting by the inverse propensity score (p = 0.148). The only prognostic factor for morbidity was the radicality of the uND. Prolonged parenteral feeding was not more frequent in patients only irradiated to their primary (p = 0.118). Prolonged tracheostomy was more frequent after surgery of the primary. Conclusions: In patients with T1–2, N3 HNSCC undergoing uND, radiotherapy and surgery of the primary yield similar oncological outcomes. Morbidity was related to the extent of neck dissection.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Predicting Postoperative Injury and Military Discharge Status After Knee Surgery in the US Army

Background: Researchers have assessed postoperative injury or disability predictors in the military setting but typically focused on 1 type of surgical procedure at a time, used relatively small sample sizes, or investigated mixed cohorts with civilian populations. Purpose: To identify the relationship between baseline variables and injury incidence or military discharge status in US Army soldiers after knee surgery. Study Design: Case-control study; Level of evidence, 3. Methods: Data were obtained from a repository containing personnel, performance, and medical records for all active-duty US Army soldiers. Multivariate logistic regressions were used to estimate the effects of numerous variables on postoperative injury or on medical discharge. Variable selection and model validation were conducted using the k-fold method. Results: A total of 7567 soldiers underwent knee surgery between 2017 and 2019. Meniscal procedures were the most common type of surgery (39%), and approximately 71% of the cohort had a postoperative injury. Significant predictors for sustaining a postoperative injury included having a previous nonknee injury (odds ratio [OR], 1.5), female sex (OR, 1.3), and Black race (OR, 1.2). Within 4 years after surgery, 17% of soldiers were discharged from the military because of knee-related disability. Significant predictors for discharge from duty included enlisted rank (OR, 2.3), recent fitness test failure (OR, 1.9), number of previous knee surgeries (OR, 1.7), and having a previous nonknee injury (OR, 1.6). Conclusion: After knee surgery, nearly three-fourths of the soldiers in this cohort sustained a postoperative injury and almost one-fifth of soldiers were medically discharged from the military within 4 years. This study identified variables that indicate statistically increased risk for these postoperative outcomes and highlighted potentially modifiable factors.

Orthopedics↗

Realistic Cost to Execute Practical Quantum Circuits using Direct Clifford+T Lattice Surgery Compilation

We report a resource estimation pipeline that explicitly compiles quantum circuits expressed using the Clifford+T gate set into a surface code lattice surgery instruction set. The cadence of magic state requests from the compiled circuit enables the optimization of magic state distillation and storage requirements in a post-hoc analysis. To compile logical circuits into lattice surgery operations, we build upon the open-source Lattice Surgery Compiler. The revised compiler operates in two stages: the first translates logical gates into an abstract, layout-independent instruction set; the second compiles these into local lattice surgery instructions that are allocated to hardware tiles according to a specified resource layout. The second stage retains logical parallelism while avoiding resource contention in the fault-tolerant layer, aiding realism. Additionally, users can specify dedicated tiles at which magic states are replenished, enabling resource costs from the logical computation to be considered independently from magic state distillation and storage. We demonstrate the applicability of our pipeline to large practical quantum circuits by providing resource estimates for the ground state estimation of molecules. Finally, we find that variable magic state consumption rates in real circuits can cause the resource costs of magic state storage to dominate unless production is varied to suit.

97 MATHEMATICS AND COMPUTING↗

Natural history of percutaneous drainage of postoperative collection following colorectal surgery: in which patients can follow-up imaging be dispensed with before drain removal?

Introduction: Colorectal surgery is complicated by postoperative collections in up to 25% of cases depending on local conditions. The aim of this study was to identify predictive factors of success of percutaneous drainage of collections in order to avoid follow-up imaging. Patients and methods: All consecutive patients between January 2009 and December 2016, who had undergone elective or emergency colorectal surgery (colorectal surgery and appendectomy) complicated by a postoperative collection treated by percutaneous drainage with follow-up imaging prior to drain removal, were included in this single-center and retrospective study. The primary objective was to assess predictive factors of success of the first attempt of percutaneous drainage of collections. Secondary objectives were to describe the natural history of percutaneous drainage of postoperative collections after colorectal surgery and the overall success rate of percutaneous drainage. Results: Fifty-three patients underwent percutaneous drainage of a postoperative collection during the study period and were included in this study. Complete resolution of the collection was observed on the first follow-up radiological examination in 36 patients (58%). In multivariate analysis, post-appendectomy collections (OR = 3.19 (1.14–9.27), p = 0.002) and reduction of the leukocyte count (OR = 3.22 (1.28–8.1), p = 0.013) were significantly associated with success of percutaneous drainage. Conclusion: This is the first study to address that follow-up imaging prior to drain removal might not be necessary in patients undergoing drainage of post-appendectomy collections and/or with more than 30% reduction of the leukocyte count at the first follow-up examination.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Clinical Impact of Neoadjuvant Chemotherapy and Chemoradiotherapy in Borderline Resectable Pancreatic Cancer: Analysis of 884 Patients at Facilities Specializing in Pancreatic Surgery

Background: The efficacy of neoadjuvant therapy (NAT), including neoadjuvant chemotherapy (NAC) and neoadjuvant chemo-radiotherapy (NACRT), for patients with borderline resectable pancreatic cancer (BRPC) has not been elucidated. This study aimed to clarify the efficacy of NAC and NACRT for patients with BRPC. Methods: The study analyzed the treatment outcomes of 884 patients treated for BRPC from 2011 to 2013. Treatment results were compared between upfront surgery and NAT and between NAC and NACRT using propensity score-matching analysis. Overall survival (OS) was calculated via intention-to-treat analyses. Results: The overall resection rates for the patients who underwent NAT were significantly lower than for the patients who underwent upfront surgery (75.1% vs 93.3%; p < 0.001). However, the R0 resection rate was significantly higher for NAT than for upfront surgery (p < 0.001). Additionally, the OS for the patients who received NAT was significantly longer than for those who underwent upfront surgery (median survival time [MST], 25.7 vs 19.0 months; p = 0.015). The lymph node rate for the patients with NACRT was significantly lower than for those who underwent NAC (p < 0.001). However, the resection rate for the NACRT cases was significantly lower than for the NAC cases (p = 0.041). The local recurrence rate for the NACRT cases was significantly lower than for the NAC cases (p = 0.002). However, OS did not differ significantly between NAC and NACRT (MST, 29.2 vs 22.5 months; p = 0.130). Conclusions: The study showed that NAT has potential benefit for patients with BRPC. Compared with NAC, NACRT decreased the rates for lymph node metastasis and local recurrence but did not improve the prognosis.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Determining the Safety and Efficacy of Enhanced Recovery Protocols in Major Oncologic Surgery: An Institutional NSQIP Analysis

Background: Enhanced-recovery (ER) protocols are increasingly being utilized in surgical practice. Outside of colorectal surgery, however, their feasibility, safety, and efficacy in major oncologic surgery have not been proven. This study compared patient outcomes before and after multispecialty implementation of ER protocols at a large, comprehensive cancer center. Methods: Surgical cases performed from 2011 to 2016 and captured by an institutional NSQIP database were reviewed. Following exclusion of outpatient and emergent surgeries, 2747 cases were included in the analyses. Cases were stratified by presence or absence of ER compliance, defined by preoperative patient education and electronic medical record order set-driven opioid-sparing analgesia, goal-directed fluid therapy, and early postoperative diet advancement and ambulation. Results: Approximately half of patients were treated on ER protocols (46%) and the remaining on traditional postoperative (TP) protocols (54%). Treatment on an ER protocol was associated with decreased overall complication rates (20% vs. 33%, p < 0.0001), severe complication rates (7.4% vs. 10%, p = 0.010), and median hospital length of stay (4 vs. 5 days, p < 0.0001). There was no change in readmission rates (ER vs. TP, 8.6% vs. 9.0%, p = 0.701). Subanalyses of high magnitude cases and specialty-specific outcomes consistently demonstrated improved outcomes with ER protocol adherence, including decreased opioid use. Conclusions: This assessment of a large-scale ER implementation in multispecialty major oncologic surgery indicates its feasibility, safety, and efficacy. Future efforts should be directed toward defining the long-term oncologic benefits of these protocols.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Neoadjuvant Chemotherapy does not Increase Complications in Oncoplastic Breast-Conserving Surgery

Background: Oncoplastic breast-conserving surgery (OBCS) broadens the indications for breast conservation. Neoadjuvant systemic chemotherapy (NAC) is used increasingly in the treatment of patients with early-stage and locally advanced breast cancer. This study aimed to evaluate the outcomes for patients who received NAC followed by OBCS. Methods: A retrospective chart review was performed for all patients who underwent OBCS involving the mastopexy/breast-reduction technique, including synchronous mastopexy/breast reduction for symmetry, at the University of Texas MD Anderson Cancer Center between January 2010 and January 2016. Patients who had received NAC were compared with those who had undergone surgery first. Demographic, treatment, and outcomes data were collected. Results: The study included 429 patients, corresponding to 713 breasts. Of these patients, 122, corresponding to 199 breasts, received NAC. The patients who received NAC were younger (p < 0.001) and had a more advanced cancer stage (p < 0.001). The overall complication rate per patient was 25.9%, with major complications occurring in 9.1% of the patients. After adjustment for risk factors, NAC was not shown to be associated with an increased risk of complications or delayed adjuvant radiation therapy (p = 0.37), irrespective of the chemotherapy regimen used or whether the interval between NAC and surgery was 4 weeks or longer. Conclusions: In a high-volume center, OBCS can be performed safely for carefully selected patients after NAC without an increased risk of complications or delayed adjuvant radiation therapy. An interval of at least 4 weeks between completion of NAC and surgery can be regarded as safe irrespective of the chemotherapy regimen used.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Temporospatial shifts in the human gut microbiome and metabolome after gastric bypass surgery

Although the etiology of obesity is not well-understood, genetic, environmental, and microbiome elements are recognized as contributors to this rising pandemic. For morbid obesity, Roux-en-Y gastric bypass (RYGB) surgery alters the fecal microbiome, but data are sparse on temporal and spatial changes in the microbiome and metabolome. We characterized the structure and metabolism of the microbial communities in the gut lumen and on mucosal surfaces in morbidly obese individuals before and after RYGB surgery, and we compared our longitudinal cohort to a previously studied cross-sectional one. RYGB concurrently changed the gut microbiome and led to improvements of obesity comorbidities. Changes in the gut microbiome were reflected in the metabolome, including fermentation products and bile acids. The effects persisted 12 months post-surgery, and the microbiomes and metabolomes were similar to those found for the cross-sectional RYGB cohort. Thus, RYGB surgery had profound and persistent impacts on the intestinal microbiome and metabolome.

59 BASIC BIOLOGICAL SCIENCES↗

Salivary microbiome composition changes after bariatric surgery

Recent studies show that the salivary microbiome in subjects with obesity differ from those without obesity, but the mechanism of interaction between the salivary microbiome composition and body weight is unclear. Herein we investigate this relation by analyzing saliva samples from 35 adult patients with obesity undergoing bariatric surgery. Our aim was to describe salivary microbiome changes during body weight loss on an individual-specific level, and to elucidate the effect of bariatric surgery on the salivary microbiome which has not been studied before. Analysis of samples collected before and 1 day after surgery, as well as 3 and 12 months after surgery, showed that the salivary microbiome changed in all study participants, but these changes were heterogeneous. In the majority of participants proportions of Gemella species, Granulicatella elegans, Porphyromonas pasteri, Prevotella nanceiensis and Streptococcus oralis decreased, while Veillonella species, Megasphaera micronuciformis and Prevotella saliva increased. Nevertheless, we found participants deviating from this general trend which suggests that a variety of individual-specific factors influence the salivary microbiome composition more effectively than the body weight dynamics alone. The observed microbiome alternations could be related to dietary changes. Therefore, further studies should focus on association with altered taste preferences and potential oral health consequences.

59 BASIC BIOLOGICAL SCIENCES↗

The Value of {sup 99m}Tc-PSMA SPECT/CT-Guided Surgery for Identifying and Locating Lymph Node Metastasis in Prostate Cancer Patients

Background: This study evaluated the effect of technetium-99m ({sup 99m}Tc)-labeled prostate-specific membrane antigen (PSMA)-based image-guided surgery on the oncologic outcomes for patients with primary or recurrent prostate cancer (PCa). Methods: This study retrospectively analyzed 54 consecutive patients with PCa who underwent {sup 99m}Tc-labeled PSMA-based image-guided surgery between January 2016 and September 2017. These patients received a radical prostatectomy (RP) with pelvic lymph node dissection (PLND) or salvage lymph node dissection (sLND). The resected specimens were compared with findings of postoperative histologic analysis. The responses to the treatment were recorded during the follow-up period. Results: In 31 patients, PSMA single-photon emission computerized tomography (SPECT) and computed tomography (CT) could find 52 suspicious lymph node metastases (LNMs). With the help of PSMA SPECT/CT, 12 patients with recurrence received sLND, 19 primary PCa patients received RP with extended PLND, and 23 primary PCa patients received RP with standard PLND. The findings showed that PSMA SPECT/CT could detect LNMs with high sensitivity and specificity. In six patients, PSMA SPECT/CT could find more LNMs that were not found by MRI and help to modify the extent of lymphadenectomy. At the latest follow-up evaluation, 39 patients showed a biochemical response (BR), 9 patients showed a biochemical recurrence (BCR) after BR, and 6 patients never exhibited BR. The patients who received RP with standard PLND or extended PLND had a better prostate-specific antigen (PSA) response than the patients who received sLND. The patients with pelvic LNMs also had a better PSA response than the patients with retroperitoneal LNMs. Conclusions: This study showed that {sup 99m}Tc-PSMA SPECT/CT-guided surgery can remove more LNMs than conventional imaging with high sensitivity and specificity and delay disease progression in PCa patients.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Why Travel for Complex Cancer Surgery? Americans React to ‘Brand-Sharing’ Between Specialty Cancer Hospitals and Their Affiliates

Introduction: Leading cancer hospitals have increasingly shared their ‘brand’ with smaller hospitals through affiliations. Because each brand evokes a distinct reputation for the care provided, ‘brand-sharing’ has the potential to impact the public’s ability to differentiate the safety and quality within hospital networks. The general public was surveyed to determine the perceived similarities and differences in the safety and quality of complex cancer surgery performed at top cancer hospitals and their smaller affiliate hospitals. Methods: A national, web-based KnowledgePanel (GfK) survey of American adults was conducted. Respondents were asked about their beliefs regarding the quality and safety of complex cancer surgery at a large, top-ranked cancer hospital and a smaller, local hospital, both in the presence and absence of an affiliation between the hospitals. Results: A total of 1010 surveys were completed (58.1% response rate). Overall, 85% of respondents felt ‘motivated’ to travel an hour for complex surgery at a larger hospital specializing in cancer, over a smaller local hospital. However, if the smaller hospital was affiliated with a top-ranked cancer hospital, 31% of the motivated respondents changed their preference to the smaller hospital. When asked to compare leading cancer hospitals and their smaller affiliates, 47% of respondents felt that surgical safety, 66% felt guideline compliance, and 53% felt cure rates would be the same at both hospitals. Conclusions: Approximately half of surveyed Americans did not distinguish the quality and safety of surgical care at top-ranked cancer hospitals from their smaller affiliates, potentially decreasing their motivation to travel to top centers for complex surgical care.

60 APPLIED LIFE SCIENCES↗

Long-Term Outcome After Retro-Areolar Versus Peri-Tumoral Injection of Superparamagnetic Iron Oxide Nanoparticles (SPIO) for Sentinel Lymph Node Detection in Breast Cancer Surgery

Background/Objective: SPIO is effective in sentinel node (SN) detection. No nuclear medicine department is needed, and no allergic reactions have occurred. This study aimed to compare retro-areolar and peri-tumoral SPIO injections regarding skin staining, detection rates and number of SNs. Methods: Data on staining size, intensity and cosmetic outcome (0–5; 0 = no problem) were collected by telephone interviews with 258 women undergoing breast conservation. SN detection and the number of SNs were prospectively registered in 332 women. Results: After retro-areolar and peri-tumoral injections, 67.3% and 37.8% (p < 0.001) developed skin staining, with remaining staining in 46.2 vs. 9.4% after 36 months (p < 0.001). Initial mean size was 16.3 vs. 6.8 cm (p < 0.001) and after 36 months, 6.6 vs. 1.8 cm{sup 2} (p < 0.001). At 75.1% of 738 interviews, staining was reported paler. After retro-areolar injections, cosmetic outcome scored worse for 2 years. The mean (median) scores were 1.3(0) vs. 0.5(0) points, and 0.2(0) vs. 0.1(0) points, at 12 and 36 months, respectively. Overall detection rates were 98.3% and 97.4% (p = 0.43) and the number of SNs 1.35 vs. 1.57 (p = 0.02) after retro-areolar and peri-tumoral injections. Injection, regardless of type, 1–27 days before surgery increased detection rates with SPIO, 98.0% vs. 94.2% (p = 0.06) ,and SN numbers, 1.56 vs. 1.27 (p = 0.003). Conclusion: SPIO is effective and facilitates planning for surgery. Peri-tumoral injection reduced staining with a similar detection rate. Staining was not considered a cosmetic problem among most women. Injecting SPIO 1–27 days before surgery increased the detection rate by 3.8% and increased the number of SNs by 0.3.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

A Comparison of Patient-Reported Outcomes After Breast-Conserving Surgery and Mastectomy with Implant Breast Reconstruction

Background: Many factors influence decisions regarding choice of breast-conserving surgery (BCS) versus mastectomy with reconstruction for early invasive breast cancer. The purpose of this study was to compare patient satisfaction following BCS and mastectomy with implant reconstruction (M-iR) utilizing the BREAST-Q patient-reported outcome measure. Methods: Women with stage I or II breast cancer undergoing BCS or M-iR who completed a BREAST-Q from 2010 to 2016 were identified by retrospective review of a prospective database. Baseline characteristics were compared, and linear mixed models were used to analyze associations with BREAST-Q scores over time. Results: Our study group was composed of 3233 women; 2026 (63%) had BCS, 123 (3.8%) had nipple-sparing mastectomy, and 1084 (34%) had skin-sparing or total mastectomy. Median time from surgery to BREAST-Q was 205 days for BCS and 639 days for M-iR (p < 0.001). Regardless of type of surgery, breast satisfaction scores decreased significantly over time (p < 0.001), whereas psychosocial (p = 0.001) and sexual (p = 0.004) well-being scores increased significantly over time. BCS was associated with significantly higher scores over time compared with M-iR across all subscales (all p < 0.001). Radiation was significantly associated with decreased scores over time across all subscales (all p < 0.05). Conclusions: Breast satisfaction and quality-of-life scores were higher for BCS compared with M-iR in early-stage invasive breast cancer. These findings may help in counseling women who have a choice for surgical treatment. Breast satisfaction scores decreased over time in all women, highlighting the need for further evaluation with longer follow-up.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Safety of Single-Site Laparoscopic Surgery Requiring Perioperative Heparinization in Colorectal Cancer: Propensity Score-Matched Analysis

Background: We assessed the feasibility and safety of single-site laparoscopic surgery for patients with colorectal cancer who required perioperative heparinization. Methods: This retrospective study reviewed the medical records of 390 patients who underwent single-site laparoscopic surgery for colorectal cancer from January 2010 to December 2016. Antithrombotic drugs were stopped preoperatively and heparin was administered according to the operative risk of each patient, based on consultation with the cardiologist physician or neurosurgeon. Propensity score modeling was utilized to adjust for baseline characteristics. Results: Of 390 patients, 29 were treated with standard bridging intravenous heparin therapy. Propensity matching identified 119 patients: 22 patients in the heparinization group and 97 in the control group. The matched groups were not significantly different in operation times, bleeding volumes, or conversion rate. The mean postoperative hospital stay was 17.9 days in the heparinization group and 9.5 days in the control group (p = 0.034). Postoperative bleeding was observed in 4 patients (18.2%) in the heparinization group and 11 patients (11.4%) in the control group (p = 0.646), while other complications were similar in the two study groups (p = 0.502). Of these other complications, thromboembolic events were observed in two patients in the heparinization group and one patient in the control group. Conclusions: We found that single-site laparoscopic surgery for colorectal cancer with heparinization was feasible and safe. Heparinization did not increase the risk of postoperative bleeding complications, but postoperative hospital stay was prolonged.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

The First Human Trial of Transoral Robotic Surgery Using a Single-Port Robotic System in the Treatment of Laryngo-Pharyngeal Cancer

Background: This study aimed to evaluate the feasibility and safety of the DaVinci SP system for performing transoral robotic surgery (TORS) in patients with head and neck cancer. Methods: From October 2018 to April 2019, the medical records of 41 patients who underwent TORS using the DaVinci SP system were retrospectively reviewed. Results: During TORS, three robotic arms could be used to perform a geometric resection of the lesion in a narrow working space. The mean total operation time was 60 min, and the average time required to set up the robotic system was 10 min or less. All patients successfully underwent TORS. All robotic arms were inserted through a single port, which widened the working space around the patient’s head and allowed the operative assistant an easy approach to the patient during the operation. The joggle joint of the robotic arms aided easy manipulation within the confined working space. The joggle joints of the endoscopic arm were controlled through the navigation system, which was very helpful in securing superior visualization of the surgical site, especially in the area of the larynx and the hypopharynx. Conclusion: The study confirmed that the DaVinci SP system provided technical advantages above the Si and Xi systems for performing TORS. It was especially helpful in ensuring proper visualization of the surgical field and in performing precise surgery during surgery to the tongue base or the hypopharyngeal lesion.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Quantum statistics and spacetime topology: Quantum surgery formulas

To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the braiding statistics data of particles and strings, such as the geometric Berry matrices for particle–string Aharonov–Bohm, 3-string, 4-string, or multi-string adiabatic loop braiding process, encoded by submanifold links, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new “quantum surgery” formulas and constraints, analogous to Verlinde formula associating fusion and braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work Wang, Wen and Yau (2016) [1] and Chapter 6 of Wang (2015) [2]. Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗