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Photosynthesis-and-Respiration

Cellular Respiration Equation, Steps, Types and Importance

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What is Cellular Respiration?

Cellular respiration is a cellular catabolic process that transfers the energy embedded in carbohydrate molecules into energy carriers such as adenosine triphosphate (ATP).

Cellular respiration can take place with and without oxygen. Aerobic respiration occurs when oxygen is present, and it consists of four metabolic pathways: glycolysis, pyruvate oxidation, the Krebs cycle, and oxidative phosphorylation.

Without oxygen, it’s called anaerobic respiration, and it starts with glycolysis but ends when pyruvate is oxidized or decarboxylated. Carbon dioxide and water are the end-products of aerobic respiration.

Since ATP, including ADP, GDP, and phosphoryl group produced in cellular respiration, are reused in other pathways, the overall cellular respiration equation is expressed as the reverse of the photosynthesis equation:

C6H12O6 + 6O2 –> 6CO2 + 6H2O

Subsequently, the energy transferred to energy carriers supplies anabolic metabolism, which requires energy to synthesize macromolecules. 

Summarily, as seen in the cellular respiration equation above, carbohydrates such as starch, glycogen, and sugars, are broken down, thus transferring the potential energy embedded in the chemical bonds to cellular energy carriers, which supply the energy to other anabolic pathways.

Structural Features of Mitochondria and the Overview of Aerobic Respiration

Figure 1: Structural Features of Mitochondria and the Overview of Aerobic Respiration
(Credit: “File:CellRespiration.svg” by RegisFrey is licensed under CC BY-SA 3.0. To view a copy of this license, visit https://creativecommons.org/licenses/by-sa/3.0)

Types of Cellular Respiration

1. Aerobic Respiration

Aerobic respiration occurs in most cells and organisms. It comprises four pathways: glycolysis, pyruvate decarboxylation, Krebs cycle, and oxidative phosphorylation (Figure 1).

In glycolysis, glucose molecules are broken down in the cell’s cytosol, resulting in the generation of pyruvate, ATP molecules, and the reduced form of nicotinamide adenine dinucleotide (NADH).

Pyruvate is subsequently transported to the mitochondrial matrix for decarboxylation, where acetyl coenzyme A (acetyl-CoA) is generated and enters the Krebs cycle.

As a result of the Krebs cycle, flavin adenine dinucleotide (FAD) and NAD+ are reduced and transported from the mitochondrial matrix to the mitochondrial inner membrane. Here, NADH and FADH2 participate in oxidative phosphorylation, where a series of electron transfers occur, with oxygen as the final electron acceptor.

Finally, the proton gradient across the mitochondrial inner membrane drives ATP synthesis in the matrix.   

Generally, aerobic respiration is regarded as the “complete” cellular respiration since the overall biochemical reactions can be summarized as the reverse of photosynthesis.

2. Anaerobic Respiration

Typically referred to as fermentation, anaerobic respiration occurs when cellular oxygen is scarce or absent. It starts with glycolysis, where glucose is converted into pyruvate.

However, unlike aerobic respiration, the resulting pyruvate molecules are not transferred to the mitochondria. Instead, they remain in the cytosol and participate in one of the following reactions:

  • Lactic Acid Fermentation

In lactic acid fermentation, pyruvate molecules from glycolysis accept electrons from NADH oxidation. The enzyme lactate dehydrogenase catalyzes this redox reaction:

CH3COCOO + NADH + H+ <–> CH3CH(OH)COO + NAD+

Pyruvate is reduced to lactic acid in this reaction, while NAD+ is regenerated to resupply glycolysis. Lactate can be used as a substrate in gluconeogenesis, which synthesizes glucose from non-carbohydrate substrates.

The given cellular respiration equation for glycolysis and lactate fermentation is summarized as follows:

C6H12O6 + 2ADP + 2Pi –> 2CH3CH(OH)COOH + 2ATP

Lactic acid fermentation occurs in prokaryotes and eukaryotes. Some prokaryotes are obligate anaerobes, which can only live in an oxygen-free environment. Others such as Lactobacillus, are facultative anaerobes; they’re predominantly anaerobic but are capable of aerobic respiration to a certain extent.[1-2] A third type known as aerotolerant anaerobes can tolerate the presence of oxygen but do not require it for growth. 

  • Ethanol Fermentation

Ethanol fermentation occurs after glycolysis and consists of two steps.

First, the enzyme pyruvate decarboxylase uses vitamin B1 as a coenzyme to cleave pyruvate, resulting in acetaldehyde and carbon dioxide. The reaction can be expressed as follows:

CH3COCOO + H+ <–> CH3COH + CO2

Following the first reaction, acetaldehyde is reduced by NADH oxidation to NAD+. The enzyme alcohol dehydrogenase catalyzes this oxidation-reduction reaction in the following reaction:

CH3COH + NADH + H+ <–> CH3CH2OH + NAD+

Here, ethanol is produced along with the regeneration of NAD+. Like lactate fermentation, NAD+ is regenerated to resupply glycolysis, while ethanol is metabolized elsewhere.

The overall cellular respiration equation for glycolysis and ethanol fermentation pathway is as follows:

C6H12O6 + 2ADP + 2Pi –> 2CH3CH2OH + 2CO2 + 2ATP

Ethanol fermentation is typically found in eukaryotes such as yeast, plants, and certain vertebrate species. Moreover, most of these species are facultative aerobes, which predominantly use aerobic respiration but may use anaerobic respiration under certain circumstances.[1,3]

Both types of cellular respiration produce carbon dioxide, two ATP molecules and replenish the NAD+ pool. The energy gained is considerably less when pyruvate is transferred to the mitochondria for other glycolysis stages.

Nonetheless, anaerobic respiration is thought to be more flexible. It can replenish the cytosolic NAD+ pool and generate ATP considerably faster. The metabolites can also supply other metabolic pathways contributing to cellular energy transduction.

For this reason, anaerobic respiration in higher eukaryotes is thought to have evolved as a stress-response mechanism that inhibits or slows down glycolysis.

For example, strenuous muscle use in mammalian skeletal muscle cells results in lactate fermentation, which provides the cells with the necessary energy. It is also hypothesized that some plants maintain cellular osmotic potential by switching to ethanol fermentation when oxygen concentration is low.[3]  

Four Stages in Cellular Respiration

1. Glycolysis

Considered the most critical pathway in carbohydrate metabolism, glycolysis occurs in both aerobic and anaerobic respiration. It can be split into two phases based on energy consumption, the investment and the payoff phases.

The investment phase uses ATP to split glucose molecules

When a glucose molecule enters glycolysis, it is initially converted to glucose-6-phosphate (G6P). The reaction is catalyzed by the enzyme hexokinase (or glucokinase for hepatocytes) and involves transferring a phosphoryl group from ATP to the glucose molecule. The reaction is irreversible; thus, it is regarded as the first committed step of glycolysis.

Afterward, G6P is converted to its isomer, fructose-6-phosphate (F6P), further transformed into fructose-1,6-bisphosphate (F1,6BP) phosphofructokinase. The conversion of F6P to F1,6BP is irreversible and requires ATP. Thus, it is regarded as the second committed step of glycolysis.

F1,6BP is split into glyceraldehyde-3-phosphate (G3P) and its isomer, dihydroxyacetone phosphate (DHAP), at the end of the investment phase. Both G3P and DHAP contain three-carbon molecules, and their structures are interchangeable by the enzyme triose phosphate isomerase.  

Thus, the glycolysis investment phase can be added to the cellular respiration equation as follows:

C6H12O6 + 2ATP –> 2C3H5O6P-2 + 2ADP + 2H+

The payoff phase harvests energy during the generation of pyruvate

The payoff phase starts with the oxidation of G3P to 1,3-bisphosphoglycerate, coupled with reducing NAD+ to NADPH. The reaction is followed by the transfer of the compound’s phosphoryl group to ADP, generating the first ATP molecule from G3P along with 3-phosphoglycerate

Afterward, 3-phosphoglycerate undergoes two subsequent rearrangement and bond cleavage reactions, resulting in phosphoenolpyruvate (PEP). Finally, PEP is converted to pyruvate when PEP’s phosphoryl group is transferred to ADP, generating the second ATP molecule from G3P.

Since G3P and its isomer, DHAP, are in equilibrium and interchangeable, DHAP is converted to G3P as the latter undergoes the reactions in the payoff phase. As a result, one glucose molecule, split into two G3P molecules during the investment phase, will give rise to four ATP molecules in the payoff phase.

This can be represented as:

C6H12O6 + 2ATP + 2ADP + 2Pi + 2NAD+ –> 2CH3COCOO + 4ATP + 2NADH + 2H+

Because two ATP molecules are consumed during the investment phase, the balanced equation is:

C6H12O6 + 2ADP + 2Pi + 2NAD+ –> 2CH3COCOO + 2ATP + 2NADH + 2H+

At the end of glycolysis, one six-carbon glucose molecule turns into two molecules of pyruvate and two NADPH molecules. It invests two ATP molecules in obtaining four ATP from substrate-level phosphorylation.

2.   Pyruvate Oxidation

After glycolysis, pyruvate is reduced to replenish the cellular NAD+ reserve, depleted during glycolysis.

At this stage, cellular respiration can diverge to aerobic or anaerobic respiration. This is thought to be dictated by oxygen availability and the cellular NAD+/NADH ratio. When oxygen and NAD+/NADH ratio are low, pyruvate remains in the cytosol and undergoes anaerobic respiration.

When oxygen and cellular NAD+ are sufficient, pyruvate is sent to the mitochondria, transformed into acetyl-CoA.

Acetyl-CoA generation is achieved by the enzyme complex pyruvate dehydrogenase complex in the mitochondrial matrix. The complex consists of three enzymes, pyruvate dehydrogenase, dihydrolipoyl transacetylase, and dihydrolipoyl dehydrogenase. Each enzyme in the complex has its catalytic activity and requires coenzymes to function (Table 1).

They interact with pyruvate one after the other to catalyze its transformation into acetyl-CoA. Such coordinated action of an enzyme complex is termed substrate channeling.            

The net reaction for pyruvate oxidation in aerobic respiration is:

CH3COCOO + CoASH + NAD+ –> CH3COCoA + CO2 + NADH + H+

When combined with glycolysis and pyruvate oxidation, the cellular respiration equation for pyruvate decarboxylation yields carbon dioxide, acetyl-CoA, and NADH:

C6H12O6 + 2ADP + 2Pi + 4NAD+ + 2CoASH –> 2CH3COCoA + 2CO2 + 2ATP + 4NADH + 4H+

Table 1: Enzymes in the pyruvate dehydrogenase complex and their corresponding coenzymes[1]

Enzyme Coenzyme
Pyruvate dehydrogenase
Thiamine pyrophosphate (TPP or vitamin B1)
Dihydrolipoyl transacetylase
Lipoamide, coenzyme A (CoA)
Dihydrolipoyl dehydrogenase
Flavin adenine dinucleotide (FAD), nicotinamide adenine dinucleotide (NAD+)

3. The Krebs Cycle

Also known as the citric acid or tricarboxylic acid cycle, it is deemed the central pathway of aerobic respiration. It consists of a cycle of eight biochemical reactions in the mitochondrial matrix, which gives rise to precursors for the biosynthesis of amino acids and nucleotides and energy carriers in the form of ATP or guanosine triphosphate (GTP), NADH, and flavin adenine dinucleotide (FADH2).

Following pyruvate oxidation, a two-carbon molecule acetyl-CoA enters the pathways and reacts with oxaloacetate, a four-carbon molecule, in the presence of water. The reaction is catalyzed by citrate synthase and yields a six-carbon molecule, citric acid. It also releases coenzyme A (CoA) to the matrix.

Krebs cycle

Figure 2: The Krebs cycle

Credit: courses.lumenlearning.com

In the second and third steps, citric acid undergoes a structural rearrangement reaction and oxidation before the six-carbon metabolite transforms into a five-carbon molecule, α-ketoglutarate, and releases carbon dioxide. The reaction is coupled with the reduction of NAD+ to NADH.

α-ketoglutarate is decarboxylated into four-carbon metabolites in the fourth and fifth steps. Succinyl-CoA is the first four-carbon metabolite regenerated with carbon dioxide and the NAD+ reduction.

Subsequently, the phosphoryl group in the coenzyme A is transferred from succinyl-CoA to ADP or GDP to generate succinate along with ATP or GTP from substrate-level phosphorylation.

To replenish oxaloacetate for the next round of the Krebs cycle, succinate is oxidized to fumarate by the enzyme succinate dehydrogenase, which requires its cofactor, FAD, to be simultaneously reduced to FADH2.

Water transforms fumarate into L-malate, which is eventually oxidized to oxaloacetate. This step is catalyzed by malate dehydrogenase and is coupled with reducing NAD+ to NADH.    

The eight steps of the Krebs cycle are summarized as:

CH3COCoA + 3NAD+ + FAD + ADP or GDP + Pi + 2H2O –> 2CO2 + 3NADH + 3H+ + FADH2 + ATP or GTP + CoASH 

Combining with the previous stages, the contribution of the Krebs cycle to the cellular respiration equation is:

C6H12O6 + 10NAD+ + 2FAD + 4ADP (or 2ADP and 2GDP) + 4Pi + 6H2O —> 6CO2 + 10NADH + 10H+ + 2FADH2 + 4ATP (or 2ATP and 2GTP) 

As a whole, one molecule of acetyl Co-A that enters the Krebs cycle produces two carbon dioxide molecules. And since one glucose molecule is converted into two acetyl-CoA molecules, two rounds of the Krebs cycle generate four carbon dioxide molecules, six NADH, two FADH2, two ATP or GTP.

Like NADH generated in the previous stages, NADH and FADH2 donate electrons to the electron transport chain for oxidative phosphorylation. Carbon dioxide generated from cellular respiration is considered waste since it cannot resupply any other metabolic pathway.[1]

4.   Electron Transport and Oxidative Phosphorylation

In the last stage of cellular respiration, the NADH and FADH2 produced from the previous stages are oxidized by the electron carriers, which are proteins in the electron transport chain (ETC).

Typically, the transfer of electrons during NADH and FADH2 oxidation occurs concurrently with the pumping of protons from the mitochondrial matrix across the inner membrane to the intermembrane space of the mitochondria.

The accumulation of protons in the mitochondrial intermembrane space establishes the proton gradients across the mitochondrial inner membrane. The proton gradient provides the energy for oxidative phosphorylation, which drives the phosphorylation of ADP by ATP synthase, synthesizing ATP in the mitochondrial matrix.  

Electron transport sets up a proton gradient for oxidative phosphorylation

The ETC consists of several proteins that are electron carriers, which assemble into four complexes in the inner mitochondrial membrane:[4]

  • Complex I: NADH-CoQ Oxidoreductase

Complex I of the ETC consists of the following electron carriers: flavin mononucleotide (FMN), an iron-sulfur cluster, and ubiquinone (UQ).

FMN is the first electron carrier that receives two electrons from NADH in the mitochondrial matrix, resupplying the mitochondrial NAD+ pool. The electrons from NADH are passed to the iron-sulfur cluster and eventually to UQ, reducing it to ubisemiquinone (UQH) and ubiquinol (UQH2).

Simultaneously, protons are pumped from the mitochondrial matrix to the intermembrane space, establishing the proton gradient that eventually drives ATP synthesis.

Also known as coenzyme Q (CoQ), UQ is the smallest and most hydrophobic electron carrier in the ETC. Thus, it only carries electrons on the membrane from one location to another.[1]  

  • Complex II: Succinate-CoQ Oxidoreductase

The second complex possesses the enzyme succinate dehydrogenase, which oxidizes succinate to fumarate and reduces FADH2 to FAD. The electrons donated from FADH2 are transferred to UQ, reducing the carrier to UQH2.[1,4]

Alternatively, the complex can contain acyl-CoA dehydrogenase instead of succinate dehydrogenase. In this case, the complex is linked to fatty acid catabolism called β-oxidation.[1]

The transfer of electrons in the second complex is not coupled with the pumping of protons across the mitochondrial inner membrane to the intermembrane space. Hence, it is the only complex in the ETC that does not contribute to the generation of proton gradients and the subsequent ATP synthesis.[4]  

  • Complex III: Cytochrome bc1 Oxidoreductase

Electrons are carried by UQH2 from Complex I or II to Complex III.

Complex III consists of cytochrome b andUQH2 carries electrons cytochrome c1 complexes, which contain an iron-sulfur protein component called the Rieske center that binds to UQH2 before passing the electrons to the heme prosthetic group cytochromes.

Because hemes can only accept one electron at a time, but UQH2 can carry two electrons simultaneously, the transfer of electrons to Complex III happens in a series of redox reactions called the Q cycle.

Briefly, when UQH2 arrives at Complex III, it binds to the Rieske center before it is oxidized, donating one electron to cytochrome c1. The electron in cytochrome c1  is sent to the cytochrome c  at the peripheral of the complex, which carries the electron to Complex IV.

The reduction of cytochrome cresults in an unstable UQH. Consequently, one electron in UQH is transferred to cytochrome b, reducing it and regenerating UQ. Following cytochrome b reduction, the electron is cycled back to regenerate the unstable UQH, further reduced to UQH2 from the electron donated from the second round of the Q cycle.

Similar to the transfer of electrons in Complex I, the Q cycle is coupled with the transfer of protons to the intermembrane space. Two protons are transferred when two electrons from two UQH2 reduce cytochrome c1. The other two protons are transferred from the matrix when each reduced cytochrome b donates its electron to regenerate UQ.

In total, two electrons from Complex III are carried to Complex IV via cytochrome c, and the other two are used to replenish UQH2. Hence, the Q cycle is thought to facilitate the transfer of electrons and maintain the proton gradients across the inner mitochondrial membrane.[1,4]

  • Complex IV: Cytochrome c Oxidase

The last complex in the ETC comprises cytochrome a, cytochrome a3, a copper atom CuB, and a copper atom pair CuA center. They act as the redox center of the complex, which can accommodate four electrons.

At Complex IV, the electrons carried by four cytochrome c from Complex III are donated to the redox center. The electrons flow through the redox center until they are transferred to oxygen, which serves as the last electron acceptor of the ETC.

Since oxygen can accept four electrons, the flow of four electrons through the ETC will generate two water molecules. Simultaneously, four protons from the matrix are pumped across the inner membrane to the intermembrane space of the mitochondria.

Together, electron transport across complexes 1, 3, and 4 by the ETC can be explained as follows (this equation skips complex 2):

2NADH + 2H+ + O2 –> 2NAD+ + 2H2O

The electron transfer results in the regeneration of NAD+ and FAD in the matrix and the accumulation of protons in the intermembrane space of the mitochondria. The regenerated NAD+ and FAD can resupply other stages of cellular respiration in the mitochondrial matrix. The protons accumulated in the intermembrane space will eventually generate ATP during oxidative phosphorylation.[1,4]

ATP is produced by chemiosmosis in oxidative phosphorylation

The accumulation of protons in the intermembrane space of the mitochondria generates the proton motive force (or electrochemical gradient) that drives the synthesis of ATP. Unlike ATP synthesized in the previous stages of cellular respiration, ATP generated following electron transport in the inner mitochondrial membrane uses the chemiosmotic coupling mechanism.[1]

The chemiosmosis coupling mechanism involves the enzyme ATP synthase embedded in the inner membrane. Often referred to as Complex V of cellular respiration, ATP synthase is a unidirectional proton pump that transports the protons accumulated in the intermembrane space back to the matrix.

The transport of protons from the intermembrane space through ATP synthase leads to the collapse of the proton gradient across the mitochondrial membrane. This provides the potential energy that powers the phosphorylation of ADP, resulting in the synthesis of ATP in the mitochondrial matrix. 

The two electrons from one NADH molecule flow through the ETC, starting from Complex I until they eventually reduce oxygen at Complex IV. Protons are pumped at Complexes I, III, and IV during electron transport, generating the proton gradient. It is estimated that one NADH, that is, two electrons, contributes to three ATP generation.

2NADH + 2H+ + O2 + 6ADP + 6Pi –> 2NAD+ + 2H2O + 6ATP

Similarly, the two electrons from one FADH2 molecule are donated to the oxygen at Complex IV. However, unlike NADH, FADH2 bypasses Complex I to Complex II, where FADH2 oxidation is not coupled with proton transfer. Therefore, FADH2 input to the proton gradient and the eventual ATP synthesis is less than that of NADH. It is estimated that one FADH2 molecule only generates 2 ATP molecules in the mitochondria.[1]    

Thus, the oxidative phosphorylation equation is: 

2NADH + 2H+ + 2FADH2 + 2O2 + 10ADP + 10Pi –> 2NAD+ + 2FAD + 4H2O + 10ATP 

Based on the cellular respiration equation summarized until the Krebs cycle, one glucose molecule gives ten NADH and two FADH2. Hence, the cellular respiration equation at the oxidative phosphorylation stage is expressed as:

10NADH + 10H+ + 2FADH2 + 6O2 + 34ADP + 34Pi –> 10NAD+ + 2FAD + 14H2O + 34ATP 

From glycolysis up to the Krebs cycle, cellular respiration has resulted in 4 ATP (or 2 ATP and 2 GTP), the cellular respiration equation with the contribution of oxidative phosphorylation is:

C6H12O6 + 6O2 + 38ADP (or 36ADP + 2GDP) + 38Pi –> 6CO2 + 6H2O + 38ATP (or 36ATP and 2GTP)

Importance and Relevance of Cellular Respiration

Deficiencies in any stage of cellular respiration can be consequential to the organism’s growth, well-being, and survival.

For instance,

  • Mutations in genes encoding pyruvate carboxylase (PC) and succinate dehydrogenase (SDH) can disrupt glucose metabolism, including glycolysis and the Krebs cycle, and gluconeogenesis. PC and SDH deficiencies result in a broad spectrum of clinical symptoms, ranging from abnormal blood glucose concentration and urine profiles to developmental delay and metabolic acidosis.[5-6]
  • OXPHOS diseases are clinical manifestations of mutations in the genes encoding proteins involved in oxidative phosphorylation. Neuro diseases such as Leigh syndrome, NARP (neurogenic muscle weakness, ataxia, and retinitis pigmentosa), and Deafness-dystonia-optic neuronopathy (DDON) syndrome are examples.[7-8]

In addition to the medical conditions due to deficiencies in cellular respiration, the understanding of cellular respiration is relevant to industrial applications.

For example,

  • Lactate fermentation is the basis of food and beverage preservation and processing. Anaerobic respiration in lactic bacteria such as Lactobacillus and Streptococcus produces dairy products such as yogurt and cheese. For example, sourdough starters are lactic bacteria and yeasts metabolizing carbohydrate molecules (flour) during anaerobic respiration, producing carbon dioxide that lifts the dough and lactic acid that gives the dough its sour taste.[9]
  • Ethanol fermentation in yeast is the main producing process of biofuels and other ethanol products such as alcoholic beverages or byproducts like spent yeast, protein concentrates, and industrial enzymes. Carbohydrate-rich materials such as honey, fruits, starchy grains, and tubers are fed to yeasts or other ethanol-producing microorganisms so that they can metabolize them during anaerobic respiration.[10]

In Conclusion

Cellular respiration is a catabolic process that harvests potential energy in carbohydrate molecules for other cellular activities. The process starts with the breakdown of glucose into pyruvate and diverges, depending on oxygen availability.

When oxygen is readily available, the cellular respiration equation reverses photosynthesis. In this scenario, pyruvate is sent to the mitochondria, where it is oxidized and fed to the Krebs cycle.

NADH and FADHare generated during these stages and later participate in the transport of electrons and oxidative phosphorylation, leading to the generation of ATP by chemiosmosis. Deficiencies in cellular respiration pose a tremendous effect on the health of organisms. 

Anaerobic respiration occurs when oxygen is depleted or absent in the forms of lactate and ethanol fermentation. Either pathway shortens the cellular respiration equation since it does not produce ATP but quickly resupply glycolysis with NAD+. Both lactate and ethanol fermentation are relevant to the industrial production of food products, beverages, and biofuels.   

References:

  1. Boyer R, Concepts in Biochemistry, 3rd edition. New Jersey: John Wiley & Sons; 2006.
  2. Zotta T, Parente E, Ricciardi A. Aerobic metabolism in the genus Lactobacillus: impact on stress response and potential applications in the food industry. J Appl Microbiol. 2017 Apr;122(4):857-869. doi: 10.1111/jam.13399.
  3. van Waarde, Aren. Alcoholic Fermentation in Multicellular Organisms. Physiological Zoology, 1991;64(4):895–920, http://www.jstor.org/stable/30157948.
  4. Voet D, Voet JG and Pratt CW, Fundamentals of Biochemistry, 2nd edition. New Jersey: John Wiley & Sons; 2006.
  5. Rustin, P., Munnich, A. & Rötig, A. Succinate dehydrogenase and human diseases: new insights into a well-known enzyme. Eur J Hum Genet 10, 289–291 (2002). https://doi.org/10.1038/sj.ejhg.5200793
  6. Wang D, De Vivo D. Pyruvate Carboxylase Deficiency. 2009 Jun 2 [Updated 2018 Mar 1]. In: Adam MP, Ardinger HH, Pagon RA, et al., editors. GeneReviews® [Internet]. Seattle (WA): University of Washington, Seattle; 1993-2021. Available from: https://www.ncbi.nlm.nih.gov/books/NBK6852/
  7. Thorburn DR, Rahman J, Rahman S. Mitochondrial DNA-Associated Leigh Syndrome and NARP. 2003 Oct 30 [Updated 2017 Sep 28]. In: Adam MP, Ardinger HH, Pagon RA, et al., editors. GeneReviews® [Internet]. Seattle (WA): University of Washington, Seattle; 1993-2021. Available from: https://www.ncbi.nlm.nih.gov/books/NBK1173/
  8. Benedicte O, Prete D, Mouni C. Mitochondrial Calcium Signalling: Role in Oxidative Phosphorylation Diseases. In: Bioenergetics. InTech; 2012. doi:10.5772/32117
  9. Petrova P, Petrov K. Lactic Acid Fermentation of Cereals and Pseudocereals: Ancient Nutritional Biotechnologies with Modern Applications. Nutrients. 2020 Apr 17;12(4):1118. doi: 10.3390/nu12041118. PMID: 32316499; PMCID: PMC7230154.
  10. Tse TJ, Wiens DJ, Chicilo F, Purdy SK, Reaney MJT. Value-Added Products from Ethanol Fermentation—A Review. Fermentation. 2021;7(4):267. doi:10.3390/fermentation7040267.

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Introduction

In behavioral neuroscience, the Open Field Test (OFT) remains one of the most widely used assays to evaluate rodent models of affect, cognition, and motivation. It provides a non-invasive framework for examining how animals respond to novelty, stress, and pharmacological or environmental manipulations. Among the test’s core metrics, the percentage of time spent in the center zone offers a uniquely normalized and sensitive measure of an animal’s emotional reactivity and willingness to engage with a potentially risky environment.

This metric is calculated as the proportion of time spent in the central area of the arena—typically the inner 25%—relative to the entire session duration. By normalizing this value, researchers gain a behaviorally informative variable that is resilient to fluctuations in session length or overall movement levels. This makes it especially valuable in comparative analyses, longitudinal monitoring, and cross-model validation.

Unlike raw center duration, which can be affected by trial design inconsistencies, the percentage-based measure enables clearer comparisons across animals, treatments, and conditions. It plays a key role in identifying trait anxiety, avoidance behavior, risk-taking tendencies, and environmental adaptation, making it indispensable in both basic and translational research contexts.

Whereas simple center duration provides absolute time, the percentage-based metric introduces greater interpretability and reproducibility, especially when comparing different animal models, treatment conditions, or experimental setups. It is particularly effective for quantifying avoidance behaviors, risk assessment strategies, and trait anxiety profiles in both acute and longitudinal designs.

What Does Percentage of Time in the Centre Measure?

This metric reflects the relative amount of time an animal chooses to spend in the open, exposed portion of the arena—typically defined as the inner 25% of a square or circular enclosure. Because rodents innately prefer the periphery (thigmotaxis), time in the center is inversely associated with anxiety-like behavior. As such, this percentage is considered a sensitive, normalized index of:

  • Exploratory drive vs. risk aversion: High center time reflects an animal’s willingness to engage with uncertain or exposed environments, often indicative of lower anxiety and a stronger intrinsic drive to explore. These animals are more likely to exhibit flexible, information-gathering behaviors. On the other hand, animals that spend little time in the center display a strong bias toward the safety of the perimeter, indicative of a defensive behavioral state or trait-level risk aversion. This dichotomy helps distinguish adaptive exploration from fear-driven avoidance.

  • Emotional reactivity: Fluctuations in center time percentage serve as a sensitive behavioral proxy for changes in emotional state. In stress-prone or trauma-exposed animals, decreased center engagement may reflect hypervigilance or fear generalization, while a sudden increase might indicate emotional blunting or impaired threat appraisal. The metric is also responsive to acute stressors, environmental perturbations, or pharmacological interventions that impact affective regulation.

  • Behavioral confidence and adaptation: Repeated exposure to the same environment typically leads to reduced novelty-induced anxiety and increased behavioral flexibility. A rising trend in center time percentage across trials suggests successful habituation, reduced threat perception, and greater confidence in navigating open spaces. Conversely, a stable or declining trend may indicate behavioral rigidity or chronic stress effects.

  • Pharmacological or genetic modulation: The percentage of time in the center is widely used to evaluate the effects of pharmacological treatments and genetic modifications that influence anxiety-related circuits. Anxiolytic agents—including benzodiazepines, SSRIs, and cannabinoid agonists—reliably increase center occupancy, providing a robust behavioral endpoint in preclinical drug trials. Similarly, genetic models targeting serotonin receptors, GABAergic tone, or HPA axis function often show distinct patterns of center preference, offering translational insights into psychiatric vulnerability and resilience.

Critically, because this metric is normalized by session duration, it accommodates variability in activity levels or testing conditions. This makes it especially suitable for comparing across individuals, treatment groups, or timepoints in longitudinal studies.

A high percentage of center time indicates reduced anxiety, increased novelty-seeking, or pharmacological modulation (e.g., anxiolysis). Conversely, a low percentage suggests emotional inhibition, behavioral avoidance, or contextual hypervigilance. reduced anxiety, increased novelty-seeking, or pharmacological modulation (e.g., anxiolysis). Conversely, a low percentage suggests emotional inhibition, behavioral avoidance, or contextual hypervigilance.

Behavioral Significance and Neuroscientific Context

1. Emotional State and Trait Anxiety

The percentage of center time is one of the most direct, unconditioned readouts of anxiety-like behavior in rodents. It is frequently reduced in models of PTSD, chronic stress, or early-life adversity, where animals exhibit persistent avoidance of the center due to heightened emotional reactivity. This metric can also distinguish between acute anxiety responses and enduring trait anxiety, especially in longitudinal or developmental studies. Its normalized nature makes it ideal for comparing across cohorts with variable locomotor profiles, helping researchers detect true affective changes rather than activity-based confounds.

2. Exploration Strategies and Cognitive Engagement

Rodents that spend more time in the center zone typically exhibit broader and more flexible exploration strategies. This behavior reflects not only reduced anxiety but also cognitive engagement and environmental curiosity. High center percentage is associated with robust spatial learning, attentional scanning, and memory encoding functions, supported by coordinated activation in the prefrontal cortex, hippocampus, and basal forebrain. In contrast, reduced center engagement may signal spatial rigidity, attentional narrowing, or cognitive withdrawal, particularly in models of neurodegeneration or aging.

3. Pharmacological Responsiveness

The open field test remains one of the most widely accepted platforms for testing anxiolytic and psychotropic drugs. The percentage of center time reliably increases following administration of anxiolytic agents such as benzodiazepines, SSRIs, and GABA-A receptor agonists. This metric serves as a sensitive and reproducible endpoint in preclinical dose-finding studies, mechanistic pharmacology, and compound screening pipelines. It also aids in differentiating true anxiolytic effects from sedation or motor suppression by integrating with other behavioral parameters like distance traveled and entry count (Prut & Belzung, 2003).

4. Sex Differences and Hormonal Modulation

Sex-based differences in emotional regulation often manifest in open field behavior, with female rodents generally exhibiting higher variability in center zone metrics due to hormonal cycling. For example, estrogen has been shown to facilitate exploratory behavior and increase center occupancy, while progesterone and stress-induced corticosterone often reduce it. Studies involving gonadectomy, hormone replacement, or sex-specific genetic knockouts use this metric to quantify the impact of endocrine factors on anxiety and exploratory behavior. As such, it remains a vital tool for dissecting sex-dependent neurobehavioral dynamics.
The percentage of center time is one of the most direct, unconditioned readouts of anxiety-like behavior in rodents. It is frequently reduced in models of PTSD, chronic stress, or early-life adversity. Because it is normalized, this metric is especially helpful for distinguishing between genuine avoidance and low general activity.

Methodological Considerations

  • Zone Definition: Accurately defining the center zone is critical for reliable and reproducible data. In most open field arenas, the center zone constitutes approximately 25% of the total area, centrally located and evenly distanced from the walls. Software-based segmentation tools enhance precision and ensure consistency across trials and experiments. Deviations in zone parameters—whether due to arena geometry or tracking inconsistencies—can result in skewed data, especially when calculating percentages.

     

  • Trial Duration: Trials typically last between 5 to 10 minutes. The percentage of time in the center must be normalized to total trial duration to maintain comparability across animals and experimental groups. Longer trials may lead to fatigue, boredom, or habituation effects that artificially reduce exploratory behavior, while overly short trials may not capture full behavioral repertoires or response to novel stimuli.

     

  • Handling and Habituation: Variability in pre-test handling can introduce confounds, particularly through stress-induced hypoactivity or hyperactivity. Standardized handling routines—including gentle, consistent human interaction in the days leading up to testing—reduce variability. Habituation to the testing room and apparatus prior to data collection helps animals engage in more representative exploratory behavior, minimizing novelty-induced freezing or erratic movement.

     

  • Tracking Accuracy: High-resolution tracking systems should be validated for accurate, real-time detection of full-body center entries and sustained occupancy. The system should distinguish between full zone occupancy and transient overlaps or partial body entries that do not reflect true exploratory behavior. Poor tracking fidelity or lag can produce significant measurement error in percentage calculations.

     

  • Environmental Control: Uniformity in environmental conditions is essential. Lighting should be evenly diffused to avoid shadow bias, and noise should be minimized to prevent stress-induced variability. The arena must be cleaned between trials using odor-neutral solutions to eliminate scent trails or pheromone cues that may affect zone preference. Any variation in these conditions can introduce systematic bias in center zone behavior. Use consistent definitions of the center zone (commonly 25% of total area) to allow valid comparisons. Software-based segmentation enhances spatial precision.

Interpretation with Complementary Metrics

Temporal Dynamics of Center Occupancy

Evaluating how center time evolves across the duration of a session—divided into early, middle, and late thirds—provides insight into behavioral transitions and adaptive responses. Animals may begin by avoiding the center, only to gradually increase center time as they habituate to the environment. Conversely, persistently low center time across the session can signal prolonged anxiety, fear generalization, or a trait-like avoidance phenotype.

Cross-Paradigm Correlation

To validate the significance of center time percentage, it should be examined alongside results from other anxiety-related tests such as the Elevated Plus Maze, Light-Dark Box, or Novelty Suppressed Feeding. Concordance across paradigms supports the reliability of center time as a trait marker, while discordance may indicate task-specific reactivity or behavioral dissociation.

Behavioral Microstructure Analysis

When paired with high-resolution scoring of behavioral events such as rearing, grooming, defecation, or immobility, center time offers a richer view of the animal’s internal state. For example, an animal that spends substantial time in the center while grooming may be coping with mild stress, while another that remains immobile in the periphery may be experiencing more severe anxiety. Microstructure analysis aids in decoding the complexity behind spatial behavior.

Inter-individual Variability and Subgroup Classification

Animals naturally vary in their exploratory style. By analyzing percentage of center time across subjects, researchers can identify behavioral subgroups—such as consistently bold individuals who frequently explore the center versus cautious animals that remain along the periphery. These classifications can be used to examine predictors of drug response, resilience to stress, or vulnerability to neuropsychiatric disorders.

Machine Learning-Based Behavioral Clustering

In studies with large cohorts or multiple behavioral variables, machine learning techniques such as hierarchical clustering or principal component analysis can incorporate center time percentage to discover novel phenotypic groupings. These data-driven approaches help uncover latent dimensions of behavior that may not be visible through univariate analyses alone.

Total Distance Traveled

Total locomotion helps contextualize center time. Low percentage values in animals with minimal movement may reflect sedation or fatigue, while similar values in high-mobility subjects suggest deliberate avoidance. This metric helps distinguish emotional versus motor causes of low center engagement.

Number of Center Entries

This measure indicates how often the animal initiates exploration of the center zone. When combined with percentage of time, it differentiates between frequent but brief visits (indicative of anxiety or impulsivity) versus fewer but sustained center engagements (suggesting comfort and behavioral confidence).

Latency to First Center Entry

The delay before the first center entry reflects initial threat appraisal. Longer latencies may be associated with heightened fear or low motivation, while shorter latencies are typically linked to exploratory drive or low anxiety.

Thigmotaxis Time

Time spent hugging the walls offers a spatial counterbalance to center metrics. High thigmotaxis and low center time jointly support an interpretation of strong avoidance behavior. This inverse relationship helps triangulate affective and motivational states.

Applications in Translational Research

  • Drug Discovery: The percentage of center time is a key behavioral endpoint in the development and screening of anxiolytic, antidepressant, and antipsychotic medications. Its sensitivity to pharmacological modulation makes it particularly valuable in dose-response assessments and in distinguishing therapeutic effects from sedative or locomotor confounds. Repeated trials can also help assess drug tolerance and chronic efficacy over time.
  • Genetic and Neurodevelopmental Modeling: In transgenic and knockout models, altered center percentage provides a behavioral signature of neurodevelopmental abnormalities. This is particularly relevant in the study of autism spectrum disorders, ADHD, fragile X syndrome, and schizophrenia, where subjects often exhibit heightened anxiety, reduced flexibility, or altered environmental engagement.
  • Hormonal and Sex-Based Research: The metric is highly responsive to hormonal fluctuations, including estrous cycle phases, gonadectomy, and hormone replacement therapies. It supports investigations into sex differences in stress reactivity and the behavioral consequences of endocrine disorders or interventions.
  • Environmental Enrichment and Deprivation: Housing conditions significantly influence anxiety-like behavior and exploratory motivation. Animals raised in enriched environments typically show increased center time, indicative of reduced stress and greater behavioral plasticity. Conversely, socially isolated or stimulus-deprived animals often show strong center avoidance.
  • Behavioral Biomarker Development: As a robust and reproducible readout, center time percentage can serve as a behavioral biomarker in longitudinal and interventional studies. It is increasingly used to identify early signs of affective dysregulation or to track the efficacy of neuromodulatory treatments such as optogenetics, chemogenetics, or deep brain stimulation.
  • Personalized Preclinical Models: This measure supports behavioral stratification, allowing researchers to identify high-anxiety or low-anxiety phenotypes before treatment. This enables within-group comparisons and enhances statistical power by accounting for pre-existing behavioral variation. Used to screen anxiolytic agents and distinguish between compounds with sedative vs. anxiolytic profiles.

Enhancing Research Outcomes with Percentage-Based Analysis

By expressing center zone activity as a proportion of total trial time, researchers gain a metric that is resistant to session variability and more readily comparable across time, treatment, and model conditions. This normalized measure enhances reproducibility and statistical power, particularly in multi-cohort or cross-laboratory designs.

For experimental designs aimed at assessing anxiety, exploratory strategy, or affective state, the percentage of time spent in the center offers one of the most robust and interpretable measures available in the Open Field Test.

Explore high-resolution tracking solutions and open field platforms at

References

  • Prut, L., & Belzung, C. (2003). The open field as a paradigm to measure the effects of drugs on anxiety-like behaviors: a review. European Journal of Pharmacology, 463(1–3), 3–33.
  • Seibenhener, M. L., & Wooten, M. C. (2015). Use of the open field maze to measure locomotor and anxiety-like behavior in mice. Journal of Visualized Experiments, (96), e52434.
  • Crawley, J. N. (2007). What’s Wrong With My Mouse? Behavioral Phenotyping of Transgenic and Knockout Mice. Wiley-Liss.
  • Carola, V., D’Olimpio, F., Brunamonti, E., Mangia, F., & Renzi, P. (2002). Evaluation of the elevated plus-maze and open-field tests for the assessment of anxiety-related behavior in inbred mice. Behavioral Brain Research, 134(1–2), 49–57.

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