Additional Dosage Routes Equations

This section details the equations that define and support the Additional Dosage Routes features in GastroPlus®. See:

Intramuscular and Subcutaneous Compartments Equations

Intramuscular and Subcutaneous Compartments Equations

Equation 7-1: Transport for a perfusion-limited SubQ compartment between the SubQ compartment and systemic circulation

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where:

Variable	Definition
We don't have a way to export this macro.	The mass of unbound drug that is in the SubQ compartment.
We don't have a way to export this macro.	The local tissue blood flow rate.
We don't have a way to export this macro.	The total concentration of drug in the arterial blood.
We don't have a way to export this macro.	The total concentration of drug in the SubQ compartment.
We don't have a way to export this macro.	The drug blood to plasma concentration ratio.
We don't have a way to export this macro.	The partition coefficient for the drug between the SubQ and plasma.
We don't have a way to export this macro.	The hematocrit.
We don't have a way to export this macro.	The lymphatic flow rate as a percentage of the plasma flow rate.
We don't have a way to export this macro.	The partition coefficient for the drug between the plasma and SubQ extracellular fluid.
We don't have a way to export this macro.	The local clearance rate at the injection site.

Equation 7-2: Transport for a permeability-limited SubQ compartment between the extracellular compartment and systemic circulation

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Equation 7-3: Transport for a permeability-limited SubQ compartment between the extracellular compartment and the intracellular compartment

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where:

Variable	Definition
We don't have a way to export this macro.	The mass of unbound drug in the extracellular space in the SubQ compartment.
We don't have a way to export this inline extension.	The total amount of drug in the intracellular space in the SubQ compartment.
We don't have a way to export this macro.	The local tissue blood flow rate.
We don't have a way to export this macro.	The total concentration of drug in the arterial blood.
We don't have a way to export this macro.	The total concentration of drug in the extracellular space in the SubQ compartment.
We don't have a way to export this macro.	The concentration of unbound drug in the extracellular space in the SubQ compartment.
We don't have a way to export this macro.	The concentration of unbound drug in the intracellular space in the SubQ compartment.
We don't have a way to export this macro.	The drug blood to plasma concentration ratio.
We don't have a way to export this macro.	The partition coefficient for the drug between the SubQ and plasma.
We don't have a way to export this macro.	The hematocrit.
We don't have a way to export this macro.	The lymphatic flow rate as a percentage of the plasma flow rate.
We don't have a way to export this macro.	The partition coefficient for the drug between the plasma and SubQ extracellular fluid.
We don't have a way to export this macro.	The permeability surface area parameter in the SubQ.
We don't have a way to export this macro.	The local clearance rate in the extracellular space in the SubQ compartment.
We don't have a way to export this macro.	The local clearance in the intracellular space in the SubQ compartment.

Equation 7-4: Transport for a perfusion-limited IM compartment between the intramuscular compartment and systemic circulation

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where:

Variable	Definition
We don't have a way to export this macro.	The mass of unbound drug that is in the IM compartment.
We don't have a way to export this macro.	The local tissue blood flow rate.
We don't have a way to export this macro.	The total concentration of drug in the arterial blood.
We don't have a way to export this macro.	The total concentration of drug in the IM compartment.
We don't have a way to export this macro.	The drug blood to plasma concentration ratio.
We don't have a way to export this macro.	The partition coefficient for the drug between the muscle and plasma.
We don't have a way to export this macro.	The hematocrit.
We don't have a way to export this macro.	The lymphatic flow rate as a percentage of the plasma flow rate.
We don't have a way to export this macro.	The partition coefficient for the drug between the plasma and muscle extracellular fluid.
We don't have a way to export this macro.	The local clearance rate at the injection site.

Equation 7-5: Transport for a permeability-limited IM compartment between the extracellular compartment and systemic circulation

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Equation 7-6: Transport for a permeability-limited IM compartment between the extracellular compartment and the intracellular compartment

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where:

Variable	Definition
We don't have a way to export this macro.	The mass of unbound drug in the extracellular space in the IM compartment.
We don't have a way to export this inline extension.	The total amount of drug in the intracellular space in the IM compartment.
We don't have a way to export this macro.	The local tissue blood flow rate.
We don't have a way to export this macro.	The total concentration of drug in the arterial blood.
We don't have a way to export this macro.	The total concentration of drug in the extracellular space in the IM compartment.
We don't have a way to export this macro.	The concentration of unbound drug in the extracellular space in the IM compartment.
We don't have a way to export this macro.	The concentration of unbound drug in the intracellular space in the IM compartment.
We don't have a way to export this macro.	The drug blood to plasma concentration ratio.
We don't have a way to export this macro.	The partition coefficient for the drug between the muscle and plasma.
We don't have a way to export this macro.	The hematocrit.
We don't have a way to export this macro.	The lymphatic flow rate as a percentage of the plasma flow rate.
We don't have a way to export this macro.	The partition coefficient for the drug between the plasma and muscle extracellular fluid.
We don't have a way to export this macro.	The permeability surface area parameter in the muscle.
We don't have a way to export this macro.	The local clearance rate in the extracellular space in the IM compartment.
We don't have a way to export this macro.	The local clearance in the intracellular space in the IM compartment.

Equation 7-7: Effective depot volume calculation

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Equation 7-8: Change in effective depot volume with time as the result of tissue inflammation

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Variable	Definition
We don't have a way to export this macro.	The effective depot volume at time t.
We don't have a way to export this macro.	The effective depot volume at time 0, which represents the volume of the SubQ tissue compartment.
We don't have a way to export this macro.	The magnitude of inflammation at time t as defined for the Inflammation versus Time profile.
We don't have a way to export this macro.	A scaling factor for the Inflammation at time t. This parameter allows for a quick scaling of the entire Inflammation versus Time profile, or to assign a different magnitude of inflammation in the muscle and adipose compartments with simultaneous subcutaneous and intramuscular injection, which occurs when the injection point is between the two tissues.

Equation 7-9: Inflammation equation parameters

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where:

Variable

Definition

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The lag time allowed for delaying the inflammation.

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User-defined constants that account for the body’s responses to the various drug formulations.

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