From: A mathematical model of aging-related and cortisol induced hippocampal dysfunction
Abbreviation | Description | Default Values |
---|---|---|
k_{crh} | Rate constant for generation of CRH | 3.8 × 10^{-1} |
k_{acth} | Rate constant for generation of ACTH | 1.085 × 10^{-1} |
k_{cor} | Rate constant for generation of cortisol | 2.4 × 10^{-3} |
k_{cdeg} | Rate constant for the degradation of cortisol. | 8.5 × 10^{-3} |
V_{crh} | Saturation level of inhibition for hypothalamic cells | 1 |
V_{acth} | Saturation level of inhibition for pituitary secretory cells | 1 |
k_{da} | Dissociation constant for cortisol in the hypothalamus | 50 |
k_{dc} | Dissociation constant for cortisol in the pituitary | 50 |
k_{gr} | Concentration of cortisol at which GR receptors are 50% saturated. | 1 × 10^{8} |
k_{mr} | Concentration of cortisol at which MR is 50% of its max | 2.5 × 10^{3} |
k_{mad} | Rate constant for the deactivation of MR receptors | 1 |
k_{non} | Rate constant for the inhibition of CA1 neurons by MR receptors. | 4.99 × 10^{-2} |
k_{GRD} | Rate constant for degradation of GR activity | 4.45 × 10^{-1} |
k_{ngf} | Rate constant for stimulation of CA1 neurons by growth factors. | 10 × 10^{-8} |
k_{nps} | Rate constant for death of neurons. | 4.5 × 10^{-2} |
k_{ngfs} | Rate constant for neuronal growth factor decline. | 1 |
k_{nbd} | Rate constant for stimulation of NBD | 5 × 10^{-2} |
k_{ses} | Rate constant for stimulation of synaptic excitatory signals. | 1.049 |
k_{sf} | Rate constant for stimulation of synaptic firing | 1.049 |
k_{so} | Rate constant for stimulation of synaptic output. | 1.049 |
k_{ho} | Rate constant for stimulation of hippocampal output. | 1.049 |
k_{hos} | Rate constant for degradation of synaptic output | 5.5 × 10^{4} |
k_{SI} | Rate constant for inhibition of synaptic firing by synaptic inhibitory signals. | 2.2 × 10^{-1} |
k_{SGR} | Rate constant for production of synaptic inhibitory signals. | 4.45 × 10^{-1} |
k_{sos} | Rate constant for stimulation of synaptic firing. | 1.049 |
k_{sisd} | Rate constant for decline in synaptic inhibitory signals | 3.8 × 10^{-1} |
V_{crh} | Saturation level of inhibition for hypothalamic cells | 1 |
V_{acth} | Saturation level of inhibition for pituitary cells | 1 |
Vmax_{MRA} | Maximum rate of activity of MR receptors | 1 × 10^{2} |
Vmax_{GRA} | Maximum rate of activity of GR receptors | 1 × 10^{2} |
Ngr | Hill coefficient for GR receptor Activity | 3.6 |
Nmr | Hill coefficient for MR receptor activity | 5.8 |
HV | Volume of Hippocampus | 100 |