Metachronous Intraductal Papillary Neoplasm of the Bile Duct and Intraductal Papillary Mucinous Neoplasm of the Pancreas in a Patient Diagnosed With Mucinous Adenocarcinoma.

Intraductal papillary neoplasm of the bile duct (IPNB) is a rare biliary tumor, which shares some radiologic and histologic similarities with pancreatic intraductal papillary mucinous neoplasm (IPMN). IPNB is a recognized precursor lesion of invasive adenocarcinoma. We present a case of metachronous IPNB and IPMN lesions in a patient with mucinous adenocarcinoma of the pancreas who presented with jaundice and abdominal pain. The patient was treated with surgery and adjuvant chemotherapy

Linear degree growth in lattice equations

We conjecture recurrence relations satisfied by the degrees of some linearizable lattice equations. This helps to prove linear growth of these equations. We then use these recurrences to search for lattice equations that have linear growth and hence are linearizable