This model describes the orthoiodohippurate (OIH) distribution and clearance in the renovascular system. The model is described by five compartments: the blood, left and right kidneys, bladder and the red blood cell compartment. Data for these compartments, except the RBC compartment, are collected with scintillation detectors monitoring OIH tagged with 1-131 as the radiopharmaceutical passes through each compartment. Time/ activity curves are plotted for the data and used as inputs to the model parameter estimation routine. The compartments are described by a set of first order ordinary differential equations solved using the Adam's methods. For parameter estimation, an iterative predictor-corrector procedure is used. The estimated model parameters are used to calculate total and differential effective renal plasma flows which are compared to standard PAH clearance tests. A blood-to-urine flow index, defined in this research using these parameters, and a cortex-to-medulla transit is also used to evaluate various renal diseases surgically induced in animal models. The predicted effective renal plasma flows correlate well with the PAH clearances for both normal and abnormal conditions and the blood-to-urine flow index is particularly useful in differentiating between ureteral obstruction and renal vein occlusion.
","abstract_html":"<p>This model describes the orthoiodohippurate (OIH) distribution and clearance in the renovascular system. The model is described by five compartments: the blood, left and right kidneys, bladder and the red blood cell compartment. Data for these compartments, except the RBC compartment, are collected with scintillation detectors monitoring OIH tagged with 1-131 as the radiopharmaceutical passes through each compartment. Time/ activity curves are plotted for the data and used as inputs to the model parameter estimation routine. The compartments are described by a set of first order ordinary differential equations solved using the Adam's methods. For parameter estimation, an iterative predictor-corrector procedure is used. The estimated model parameters are used to calculate total and differential effective renal plasma flows which are compared to standard PAH clearance tests. A blood-to-urine flow index, defined in this research using these parameters, and a cortex-to-medulla transit is also used to evaluate various renal diseases surgically induced in animal models. The predicted effective renal plasma flows correlate well with the PAH clearances for both normal and abnormal conditions and the blood-to-urine flow index is particularly useful in differentiating between ureteral obstruction and renal vein occlusion.</p>","abstract_has_math":false,"creators":["Holshouser, Barbara A."],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":["S. Andrew Yakush","George M. Grames","Gerald A. Kirk","C. Duane Zimmerman"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1983,"date_issued":"1983-06-01T07:00:00Z","date_published":"1983-06-01T07:00:00Z","updated_at":"2026-07-24T02:53:20Z","subjects":["Medical Biomathematics and Biometrics","Medical Physiology","Renal Circulation; Kidney Function Tests"],"languages":["English"],"rights":["This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsrepository.llu.edu/etd/1002","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["S. Andrew Yakush","George M. Grames","Gerald A. Kirk","C. Duane Zimmerman"]},{"key":"dc:creator","label":"Author","values":["Holshouser, Barbara A."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Medical Biomathematics and Biometrics","Medical Physiology","Renal Circulation; Kidney Function Tests"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsrepository.llu.edu/etd/1002"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This model describes the orthoiodohippurate (OIH) distribution and clearance in the renovascular system. The model is described by five compartments: the blood, left and right kidneys, bladder and the red blood cell compartment. Data for these compartments, except the RBC compartment, are collected with scintillation detectors monitoring OIH tagged with 1-131 as the radiopharmaceutical passes through each compartment. Time/ activity curves are plotted for the data and used as inputs to the model parameter estimation routine. The compartments are described by a set of first order ordinary differential equations solved using the Adam's methods. For parameter estimation, an iterative predictor-corrector procedure is used. The estimated model parameters are used to calculate total and differential effective renal plasma flows which are compared to standard PAH clearance tests. A blood-to-urine flow index, defined in this research using these parameters, and a cortex-to-medulla transit is also used to evaluate various renal diseases surgically induced in animal models. The predicted effective renal plasma flows correlate well with the PAH clearances for both normal and abnormal conditions and the blood-to-urine flow index is particularly useful in differentiating between ureteral obstruction and renal vein occlusion.
"]},{"key":"dc:title","label":"Title","values":["Development of a Mathematical Model of Renal Function for Clinical Application"]}]}],"canonical_facts":{"dc:contributor":["S. Andrew Yakush","George M. Grames","Gerald A. Kirk","C. Duane Zimmerman"],"dc:creator":["Holshouser, Barbara A."],"dc:description.abstract":["This model describes the orthoiodohippurate (OIH) distribution and clearance in the renovascular system. The model is described by five compartments: the blood, left and right kidneys, bladder and the red blood cell compartment. Data for these compartments, except the RBC compartment, are collected with scintillation detectors monitoring OIH tagged with 1-131 as the radiopharmaceutical passes through each compartment. Time/ activity curves are plotted for the data and used as inputs to the model parameter estimation routine. The compartments are described by a set of first order ordinary differential equations solved using the Adam's methods. For parameter estimation, an iterative predictor-corrector procedure is used. The estimated model parameters are used to calculate total and differential effective renal plasma flows which are compared to standard PAH clearance tests. A blood-to-urine flow index, defined in this research using these parameters, and a cortex-to-medulla transit is also used to evaluate various renal diseases surgically induced in animal models. The predicted effective renal plasma flows correlate well with the PAH clearances for both normal and abnormal conditions and the blood-to-urine flow index is particularly useful in differentiating between ureteral obstruction and renal vein occlusion.
"],"dc:identifier":["https://scholarsrepository.llu.edu/etd/1002"],"dc:language":["English"],"dc:rights":["This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights."],"dc:subject":["Medical Biomathematics and Biometrics","Medical Physiology","Renal Circulation; Kidney Function Tests"],"dc:title":["Development of a Mathematical Model of Renal Function for Clinical Application"],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T02:53:20Z"}