Quaternionic vector mKDV equations are derived from the Cartan structure equation in the symmetric space n =Sp(n+ 1)/Sp(1)×Sp(n). The derivation of the soliton hierarchy utilizes a moving parallel frame and a Cartan connection 1-form ω related to the Cartan geometry on n modelled on (spn+1, sp1 × spn). The integrability structure is shown to be geometrically encoded by a Poisson– Nijenhuis stru...

For a local field F with finite residue field, we count close vertices in the affine buildings of SLn(F ) and Spn(F ), addressing a question of [4]. In the case of SLn(F ), we give an explicit formula for the number ωn of vertices close to a given vertex. We establish the conjecture following Proposition 3.4 of [4] relating ωn and the number of chambers containing a given vertex. We give analog...

For a local field K and n ≥ 2, let Ξn and ∆n denote the affine buildings naturally associated to the special linear and symplectic groups SLn(K) and Spn(K), respectively. We relate the number of vertices in Ξn (n ≥ 3) close (i.e., gallery distance 1) to a given vertex in Ξn to the number of chambers in Ξn containing the given vertex, proving a conjecture of Schwartz and Shemanske. We then consi...

For a local field F with finite residue field, we count close vertices in the affine buildings of SLn(F ) and Spn(F ), addressing a question of [6]. In the case of SLn(F ), we give an explicit formula for the number ωn of vertices close to a given vertex. We establish the conjecture following Proposition 3.4 of [6] relating ωn and the number of chambers containing a given vertex. We give analog...

To describe the features and clinical implications of computed tomography (CT), positron emission tomography (PET), and percutaneous needle aspiration biopsy (PCNB) in pulmonary nontuberculous mycobacterial (NTM) disease manifesting as a solitary nodule, mass, or mass-like consolidation mimicking malignancy.Among a cohort of 388 patients with NTM pulmonary disease, 14 patients with clinically a...

Pulmonary arteriovenous malformations are rare congenital abnormal connections between the pulmonary arteries and veins. The patients are usually asymptomatic [1]. Although their aetiology is unclear, it is presumed that genetic abnormalities constitute a predisposition [1, 2]. An arteriovenous malformation might cause serious complications if it remains undiagnosed and untreated [3]. We report...

The radiologic findings of a single nodule from Pneumocystis jirovecii pneumonia (PJP) have been rarely reported. We described a case of granulomatous PJP manifesting as a solitary pulmonary nodule with a halo sign in a 69-year-old woman with diffuse large B cell lymphoma during chemotherapy. The radiologic appearance of the patient suggested an infectious lesion such as angioinvasive pulmonary...

INTRODUCTION Mycobacterium avium complex (MAC) lung disease presenting as a solitary pulmonary nodule (MAC-SPN) is often asymptomatic, is more common in middle to old age, and mimics lung cancer or tuberculoma. We report herein a case of MAC-SPN in an immunocompetent young adult patient, presenting with persistent chest pain and a subacutely progressive nodule with high intense (18)F-fluorodeox...

The approach to patients with indeterminate pulmonary nodules is poorly defined. Should every pulmonary nodule be biopsied, is needle biopsy adequate, and other questions are challenges. Video assisted thoracic surgery or thoracoscopy has added a new diagnostic possibility which is evaluated in this paper. Fifty-five patients underwent thoracoscopy for diagnosis of a solitary pulmonary nodule. ...

abstract bronchoalveolar carcinoma presenting as non-resolving consolidation is an uncommon presentation. the typical presentation of bronchoalveolar carcinoma is asymptomatic (solitary nodule) and remains without symptoms even as disease disseminates. we report a case of bronchoalveolar carcinoma presenting as non-resolving consolidation in a young male with productive cough, exertional breath...