PT  - JOURNAL ARTICLE
AU  - Rammah Abohtyra
AU  - CV Hollot
AU  - J Horowitz
AU  - Yossi Chait
TI  - Nonlinear Stability Analysis for Artificial Kidney Multi-compartmental Models
AID  - 10.1101/2020.11.26.400606
DP  - 2020 Jan 01
TA  - bioRxiv
PG  - 2020.11.26.400606
4099  - http://biorxiv.org/content/early/2020/12/28/2020.11.26.400606.short
4100  - http://biorxiv.org/content/early/2020/12/28/2020.11.26.400606.full
AB  - This paper addresses a new global stability analysis for a class of nonlinear multi-compartment models. The stability analysis is applied to a specific physiological two-compartment model used in dialysis therapy in end-stage kidney disease patients. Dialysis is a life-sustaining treatment in which an artificial kidney is used to correct acid-base derangement and remove fluid accumulation by ultrafiltration to obtain dry weight (normal weight without extra fluid). Our stability analysis is motivated by the current emphases on improving the assessment of dry weight and strategies for optimal fluid removal in end-stage kidney disease patients. To gain physiological insights into fluid management during the short time (3-5hrs) of the dialysis therapy, we use this model to examine and analyze the solution’s boundedness and behavior under ultrafiltration.In this paper we developed global stability results for a class of nonlinear multi-compartment models, which applies to our specific model used in dialysis therapy. The boundedness and behavior of the solution of our model during dialysis therapy is illustrated under ultrafiltration. We tested our results using both standard ultrafiltration and patient-specific ultrafiltration profiles.Competing Interest StatementThe authors have declared no competing interest.