title: Compartmental modelling for magnetic resonance renography.
abstract: A basic formalism is presented for generating and interpreting compartmental models for dynamic contrast-enhanced MRI data in the kidney. A graphical convention is introduced to represent and design compartmental models in a transparent and physically intuitive manner. A systematic system of notations and a simple set of rules allows direct translation of the graphical representation into a mathematical solution. The rules are derived from the physical principle of mass conservation, and the interpretation provided by the general tracer-kinetic theory of linear and stationary systems. The power of the formalism is illustrated using examples of models that have been proposed in the literature on perfusion MRI, and by generating a number of advanced models that may be of use in the kidney.
authors.affiliation: Institute of Clinical Radiology, Ludwig Maximilian University Munich, Marchioninistrasse 15, 81377 Munich, Germany. steven.sourbron@med.uni-muenchen.de
authors.forename: Steven
authors.initials: S
authors.lastname: Sourbron
mesh_terms: D000328:Adult; D000368:Aged; D000818:Animals; D000894:Anti-Inflammatory Agents, Non-Steroidal / Q000627:therapeutic use; D003198:Computer Simulation; D016861:Cyclooxygenase Inhibitors / Q000494:pharmacology; D003928:Diabetic Nephropathies / Q000503:physiopathology; D004231:Diuresis / Q000187:drug effects; D004232:Diuretics / Q000627:therapeutic use; D004359:Drug Therapy, Combination; D005665:Furosemide / Q000627:therapeutic use; D005919:Glomerular Filtration Rate; D006801:Humans; D007052:Ibuprofen / Q000627:therapeutic use; D007674:Kidney Diseases / Q000097:blood* / Q000188:drug therapy / Q000503:physiopathology; D016030:Kidney Transplantation / Q000473:pathology; D008279:Magnetic Resonance Imaging / Q000379:methods*; D010100:Oxygen / Q000097:blood*; D011866:Radioisotope Renography / Q000379:methods*; D051381:Rats; D012078:Renal Artery Obstruction / Q000503:physiopathology; D015398:Signal Transduction; D014517:Ureteral Obstruction / Q000188:drug therapy / Q000503:physiopathology
chemical_list: D000894:Anti-Inflammatory Agents, Non-Steroidal; D016861:Cyclooxygenase Inhibitors; D004232:Diuretics; D005665:Furosemide; D010100:Oxygen; D007052:Ibuprofen