Patent ID: 8868350

Claim:
A method of predicting serum phosphorus concentrations in a patient during hemodialysis, the method comprising: measuring serum phosphorus concentrations (“C”) of the patient over a hemodialysis treatment session time and an ultrafiltration rate (“Q UF ”) calculated by a difference between pre- and post-dialytic body weight of the patient during an initial hemodialysis treatment session divided by a total treatment time of the treatment session; estimating K M and V PRE for the patient using a non-linear least squares fitting to the equations: C ⁡ ( t ) = C PRE [ K M + ( K D + K R - Q UF ) ⁢ ( V ⁡ ( t ) V PRE ) K M + K D + K R - Q UF Q UF K M + K D + K R - Q UF ] ⁢ ⁢ ⁢ and ⁢ C ⁡ ( T ) = C PRE - ( C PRE - C POST ) ⁢ ⅇ ( - K M ⁢ T V PRE - Q UF ⁢ t tx ) wherein t is a time during the hemodialysis treatment session, T is a time after an end of the hemodialysis treatment session, t tx is a total duration of the hemodialysis treatment session, C PRE is a pre-dialysis plasma phosphorus concentration, C POST is a post-dialytic plasma phosphorus concentration, K M is a phosphorus mobilization clearance of the patient, K R is a residual renal clearance of phosphate, K D is a dialyzer phosphate clearance, V PRE is a pre-dialysis distribution volume of phosphorus of the patient, and V ( t )= V PRE −Q UF ×t (eqn. 1-C); and predicting C of the patient at any time during any hemodialysis treatment session by using the equations 1-A and 1-B with the estimated K M and V PRE of the patient.