
The electrical driving force in a working electrical circuit is the voltage difference that enables the flow of electricity within the circuit. This is calculated using the formula: Voltage (V) = Current (I) x Resistance (R). When an ion is not at its equilibrium, an electrochemical driving force (VDF) acts on the ion, causing it to move across the membrane. The direction of ion flow is determined by the arithmetic sign of the driving force, which can be positive or negative, and the valence of the ion, whether it is a cation or anion. The membrane potential (Vm) can be obtained through direct measurement or predicted using the Goldman-Hodgkin-Katz (GHK) equation.
| Characteristics | Values |
|---|---|
| Driving force acting on the ion of interest | VDF |
| Unit of measurement | Millivolts (mV) |
| Calculation | VDF = Vm − Veq. |
| Vm | Membrane potential |
| Veq. | Equilibrium potential for the ion of interest |
| Calculation method for Vm | Direct measurement or Goldman-Hodgkin-Katz (GHK) equation |
| Calculation method for Veq. | Nernst equation |
| VDF = 0 | Ion is in electrochemical equilibrium |
| Positive driving force | Ion movement out of the cell (for cations) |
| Negative driving force | Ion movement into the cell (for cations) |
| Positive driving force | Ion movement into the cell (for anions) |
| Negative driving force | Ion movement out of the cell (for anions) |
| Driving force in an electrical circuit | Voltage difference, current, temperature difference, chemical imbalance |
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What You'll Learn
- The driving force is quantified by the difference between the membrane potential and the ion equilibrium potential
- The magnitude of the driving force indicates how far an ion is from its equilibrium
- The arithmetic sign of the driving force can be used to predict the direction of ion flow
- The membrane potential may be obtained by direct measurement or by using the GHK equation
- The value of the equilibrium potential can be determined using the Nernst equation

The driving force is quantified by the difference between the membrane potential and the ion equilibrium potential
The electrical driving force is the net electrical force that moves an ion across a membrane. It is calculated as the difference between the voltage that the ion "wants" to be at (its equilibrium potential) and the actual membrane potential. The driving force is quantified by the difference between the membrane potential and the ion equilibrium potential. This can be expressed as VDF = Vm − Veq., where VDF is the electrochemical driving force, Vm is the membrane potential, and Veq. is the equilibrium potential for the ion of interest.
The membrane potential (Vm) is the difference in electric potential between the interior and the exterior of a biological cell. It equals the interior potential minus the exterior potential. This is the energy (work) per charge required to move a small positive charge at a constant velocity across the cell membrane from the exterior to the interior. The membrane potential may be obtained by direct measurement or may be predicted using the Goldman-Hodgkin-Katz (GHK) equation.
The equilibrium potential (Veq.) for any ion can be determined using the Nernst equation. The reversal or equilibrium potential of an ion is the transmembrane voltage at which diffusive and electrical forces counterbalance, resulting in no net ion flow across the membrane. At this point, the net flow of the specific ion is zero, and the forces of the electric fields completely counteract the force due to diffusion.
The magnitude of the driving force indicates how far an ion is from its electrochemical equilibrium. The arithmetic sign (positive or negative) of the driving force, along with the valence of the ion (cation or anion), can be used to predict the direction of ion flow across the plasma membrane. For cations (positively charged ions), a positive driving force predicts ion movement out of the cell, while a negative driving force predicts ion movement into the cell. The situation is reversed for anions (negatively charged ions), where a positive driving force predicts ion movement into the cell, and a negative driving force predicts ion movement out of the cell.
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The magnitude of the driving force indicates how far an ion is from its equilibrium
When an ion is not at its equilibrium, an electrochemical driving force acts on it, causing it to move across the plasma membrane. The driving force is quantified by the difference between the membrane potential and the ion equilibrium potential (Vm and Veq., respectively). This relationship can be expressed as VDF = Vm − Veq. and the magnitude of the driving force indicates how far an ion is from its equilibrium.
The membrane potential (Vm) may be obtained by direct measurement or predicted using the Goldman-Hodgkin-Katz (GHK) equation. The equilibrium potential for the ion of interest (Veq.) can be determined using the Nernst equation. Both Vm and Veq. are typically expressed in millivolts (mV).
The arithmetic sign of the driving force (positive or negative) and the valence of the ion (cation or anion) can be used to predict the direction of ion flow across the plasma membrane. For cations (positively charged ions), a positive driving force predicts movement out of the cell, while a negative driving force predicts movement into the cell. For anions (negatively charged ions), the situation is reversed.
When the membrane potential is exactly at the equilibrium potential for an ion, the driving force acting on the ion is zero, and the ion is said to be in electrochemical equilibrium. In this case, there is no net movement of the ion across the plasma membrane.
The concept of electrochemical equilibrium is important in understanding the movement of ions across membranes. It involves considering both concentration and electrical gradients, especially for charged solutes. The equilibrium potential for an ion is reached when its concentration gradient is balanced by an equal and opposite electrical gradient. This equilibrium potential represents the electrical potential difference across the membrane for that particular ion.
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The arithmetic sign of the driving force can be used to predict the direction of ion flow
The arithmetic sign of the driving force is a critical factor in predicting the direction of ion flow across a plasma membrane. This driving force, known as the electrochemical driving force (VDF), acts on an ion when it deviates from its equilibrium, resulting in a net movement of the ion across the membrane. The magnitude of this driving force indicates how far an ion is from its equilibrium state.
The VDF is calculated by subtracting the equilibrium potential (Veq.) from the membrane potential (Vm), resulting in a value that is typically reported in millivolts (mV). The arithmetic sign of this value, whether positive or negative, plays a crucial role in predicting the direction of ion flow.
For cations (positively charged ions), a positive driving force (VDF > 0) indicates efflux, or movement out of the cell, while a negative driving force (VDF < 0) indicates influx, or movement into the cell. Conversely, for anions (negatively charged ions), a positive driving force predicts influx, and a negative driving force predicts efflux.
For instance, let's consider the ion K+ (a positively charged ion). If the membrane potential (Vm) is -65 mV and the equilibrium potential (Veq.) is -90 mV, the driving force acting on K+ can be calculated as -65 - (-90) = +25 mV. Since the driving force is positive and K+ is a cation, we can predict that K+ will flow out of the cell under these conditions.
By understanding the relationship between the arithmetic sign of the driving force and the valence of the ion, we can make informed predictions about the direction of ion flow across the plasma membrane. This knowledge is essential in fields such as physiology and neuroscience, where the movement of ions plays a crucial role in cellular function and neural signaling.
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The membrane potential may be obtained by direct measurement or by using the GHK equation
The membrane potential (Vm) can be obtained in two ways: direct measurement and the Goldman-Hodgkin-Katz (GHK) equation.
Direct measurement is one way to obtain the membrane potential. This involves measuring the potential across an Ag wire generated by two KCl solutions under the same environmental temperature and KCl solution conditions. The experimental result is then compared with the potential computed by employing the GHK equation.
The GHK equation is a mathematical expression of membrane potential that can be used to predict the membrane potential without actually measuring it. It is based on the idea that transmembrane ion transport across the plasma membrane is responsible for the generation of the membrane potential. The equation states that the variation of membrane permeability to an ion, in accordance with ion species, results in the variation of the membrane potential. However, the GHK equation has faced some scrutiny as it cannot explain everything. For example, there is sometimes disagreement between the experimentally measured membrane potential and the membrane potential predicted by the GHK equation.
The GHK equation can be compared to Ling's adsorption theory, which attributes the generation of membrane potential to the adsorption of ions onto the membrane surface rather than the passage of ions through the membrane. The computationally obtained potential behaviour based on the adsorption theory has been found to be in good agreement with the experimentally observed potential, whether the membrane is permeable to ions or not.
In summary, the membrane potential may be obtained through direct measurement or by using the GHK equation, which has been found to be one of the most successful achievements in membrane theory in electrophysiology. However, alternative theories, such as Ling's adsorption theory, have also been proposed and found to have merit.
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The value of the equilibrium potential can be determined using the Nernst equation
The Nernst equation is a valuable tool for determining the equilibrium potential (Veq.) for an ion, which is essential for understanding the electrochemical driving force (VDF) acting on that ion. The Nernst equation takes into account the charge on the ion, also known as its valence, and the concentration gradient across the membrane.
The equilibrium potential, Veq., represents the voltage at which there is no net movement of ions across the membrane. When the membrane potential (Vm) is equal to the equilibrium potential, the driving force (VDF) is zero, indicating that the ion is in a state of electrochemical equilibrium. In this scenario, the equation can be expressed as VDF = Vm - Veq., resulting in a value of zero.
The Nernst equation allows us to calculate the equilibrium potential for an ion based on its valence and the concentration gradient. The valence of an ion refers to its charge, such as +1 for sodium (Na+) and potassium (K+), +2 for calcium (Ca2+), and -1 for chloride (Cl)-. The concentration gradient, on the other hand, represents the difference in ion concentrations across the membrane.
By applying the Nernst equation, we can determine the equilibrium potential for various ions, including sodium, potassium, calcium, and chloride. This information is crucial for understanding the electrochemical driving force acting on these ions. The Nernst equation also helps us predict the direction of ion flow across the plasma membrane, whether it is into or out of the cell.
Additionally, the Nernst equation can be used to calculate the equilibrium potential for a monovalent ion, such as potassium or sodium. At room temperature, the Nernst potential for a monovalent ion changes by approximately 25 mV for each e-fold change in the concentration ratio. This calculation provides valuable insights into the equilibrium potential and the resulting driving force acting on these ions.
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Frequently asked questions
The driving force in a working electrical circuit is the voltage difference.
The formula for the relationship between voltage and current is V = I x R.
The direction of ion flow is predicted by the arithmetic sign of the driving force (i.e. positive or negative) and the knowledge of the valence of the ion (cation or anion).
The formula for the electrochemical driving force is VDF = Vm - Veq, where VDF is the electrochemical driving force, Vm is the membrane potential, and Veq is the equilibrium potential for the ion.







































