Distribution models of recirculating lymphocytes
- 1 March 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Biomedical Engineering
- Vol. 36 (3) , 355-362
- https://doi.org/10.1109/10.19856
Abstract
Linear time-invariant, linear time-variant, and linear time-delay models are compared to a more accurate nonlinear model for the distribution of recirculating lymphocytes to various relevant organs of the immune process. The models are based on various degrees of approximation to the complex nonNewtonian tubule flow and tissue diffusion phenomena. From the measured data, it is apparent that the basic premise of cel-population conservation is not valid within the organs measured. In other words, counts are lost due to nonrecirculation and removal, natural death, and migration to organs not measured. The analysis does successfully decouple the recirculating (passive) lymphocyte dynamics from the dynamic response (and active migration) which is due to antigenic (alien substance) stimulation.<>Keywords
This publication has 21 references indexed in Scilit:
- Mathematical Modeling in ImmunologyAnnual Review of Biophysics and Bioengineering, 1983
- Compartmental systems with pipesMathematical Biosciences, 1981
- Insensitivity of a class of nonlinear compartmental systems to the introduction of arbitrary time delaysIEEE Transactions on Circuits and Systems, 1980
- Asymptotic behavior of nonlinear compartmental systems: Nonoscillation and stabilityIEEE Transactions on Circuits and Systems, 1978
- Necessary and sufficient conditions in the tracer determination of compartmental system orderJournal of Theoretical Biology, 1976
- Studies on the lymphocytes of sheep. I. Recirculation of lymphocytes through peripheral lymph nodes and tissuesEuropean Journal of Immunology, 1976
- THE KINETICS OF LYMPHOCYTE RECIRCULATION WITHIN THE RAT SPLEENCell Proliferation, 1969
- A method for the numerical integration of coupled first-order differential equations with greatly different time constantsMathematics of Computation, 1966
- The route of re-circulation of lymphocytes in the ratProceedings of the Royal Society of London. B. Biological Sciences, 1964
- An efficient method for finding the minimum of a function of several variables without calculating derivativesThe Computer Journal, 1964