Frontiers in hemodialysis part II: Toward personalized and optimized therapy

A New Approach to Bicarbonate Addition During Hemodialysis: Testing Model Predictions in a Patient Cohort

“…In our recent studies, we have proposed that this excess buffer response is maladaptive, diverting energy from normal metabolism. To address this issue, our research group has developed a mathematical model for the acid-base events occurring during dialysis therapy [4], [9], [10]. Exploiting the model, we have proposed H + release can be significantly reduced if the bath [HCO − 3 ] is started at a lower level and gradually increased during dialysis [9].…”

Nonlinear Stability Analysis for Artificial Kidney Multi-compartmental Models

“…We will establish the global stability result of the general compartment model in (4). For this purpose, we invoke LaSalle's Theorem since it applies to a system having an equilibrium set rather than an isolated equilibrium point [28].…”

“…where this function is continuous, differentiable. Note f (x) and A n are given in (4). The derivative of V (x) with respect to the time is derived in the Appendix Appendix C aṡ…”

“…Patient in end-stage kidney disease are often suffering from multiple acid-base derangements, and fluid shift complications [10], [25]. Dialysis is a life-sustaining treatment that corrects acid-base derangement and removes fluid accumulation to obtain dry weight (normal weight without extra fluid) [17], [24], [29], [21]. During dialysis treatment, an artificial kidney is used to remove excess fluid from the blood (plasma) by ultrafiltration leading to fluid refilling from the interstitial compartment to overcome the fluid shift [27], [26].…”

“…Dialysis is a life-sustaining treatment that corrects acid-base derangement and removes fluid accumulation to obtain dry weight (normal weight without extra fluid) [3,4,5,6]. During dialysis treatment, an artificial kidney is used to remove excess fluid (2-5 liters) from the blood (plasma) by ultrafiltration, within 2-5 hrs, leading to fluid refilling from the interstitial compartment to overcome the fluid shift [7,8].…”