Table 1.
Table of variables.
Fig 1.
Bio-marker data collected from literature to include cases of ischaemic hepatitis due to low O2 availability, low O2 delivery.
The (mean, standard deviation) IU/L of AST, ALT, LDH are (2877.0, ), (1821.4,
), (4273.8,
) respectively.
Fig 2.
Schematic depiction of the model.
Solid arrow indicates conversion of the same variable from one state to another, dotted arrow indicates influence of a variable on the transition rate, and double arrow indicates secretion of biomarkers. See expressions terms of the Model System 1–6 to understand the appropriateness of arrows. The initial conditions used to solve the ODE system are H* = Hmax, A* = Anorm, Z* = 0, S* = Smin, L* = Lmin, D* = Dmin.
Fig 3.
Demonstration of the oxygen function at 50% initial O0 values for different values of ϵ.
Fig 4.
Sensitivity indexes of the equilibrium concentration of variables with respect to parameters ρ and k.
Note, ρ negatively and k positively impacts equilibrium concentration of all model variables.
Fig 5.
ALT peaks with varied times of treatment and oxygen levels.
(a) ALT peaks with varied times of treatment at 50% oxygen level. (b) ALT peaks with varied initial oxygen levels treated after 8 hours.
Fig 6.
AST peaks with varied times of treatment and oxygen levels.
(a) AST peaks with varied times of treatment at 50% oxygen level. (b) AST peaks with varied initial oxygen levels treated after 8 hours.
Fig 7.
LDH peaks with varied times of treatment and oxygen levels.
(a) LDH peaks with varied times of treatment at 50% oxygen level. (b) LDH peaks with varied initial oxygen levels treated after 8 hours.
Fig 8.
Hepatocyte damage with varied times of treatment and oxygen levels.
(a) Healthy Hepatocytes as function of normal with varied times of treatment at 50% oxygen level. (b) Healthy Hepatocytes as a function of normal with varied initial oxygen levels treated after 8 hours.
Fig 9.
Demonstration of the Hepatocyte, AST, ALT, LDH level with varied O2 levels when there is no treatment.
(a) Hepatocyte death with varied O2 levels when there is no treatment. (b) The estimated time of reaching the critical 30% Hepatocyte level for irreversible damage given the initial oxygen level.
Fig 10.
Hepatocyte damage with varied rates of reperfusion treated at the 8th hour.