Independent research archive

Energy, measured
against the human.

EPK Research develops and publishes the Energy per Kilogram framework—an open, traceable approach to investigating energy availability in relation to body mass.

Core expression
EPK=dietary energy intakebody mass

Research exposure: kcal/kg/day. Exercise expenditure and fat-free mass are measured separately; this is not the sports energy-availability equation.

The EPK Paper Series

Seven connected research questions

Version 1.2 integrates the recent evidence on fuelling, adherence, stress, sleep, performance and tissue function, with corrected citation mapping and explicit research tests. Unverified MSc quantitative claims are excluded from the evidential basis. Earlier releases remain available below and on Zenodo.

Current paper PDFs are licensed under CC BY-ND 4.0: share credited copies; modified versions may not be distributed under this licence. This applies to author-owned text in these PDFs.

EPK–001Revised working paper

Energy Per Kilogram (EPK): A Physiology-Aware Framework for Human Energy Availability and Dietary Adherence

Introduces EPK through published research on appetite, adaptation, stress and dietary adherence, with wearable-informed targets and a staged plan for testing the framework.

Version 1.2 DOI 10.5281/zenodo.23106374 Version 1.0 DOI 10.5281/zenodo.22673106 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF
EPK–002Revised working paper

Behavioural Stability and Energy Availability

Explores whether behavioural stability during dieting may itself be influenced by physiological energy availability and compensatory pressure.

Version 1.2 DOI 10.5281/zenodo.23106398 Version 1.0 DOI 10.5281/zenodo.22673577 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF
EPK–003Revised working paper

Metabolic Flexibility, Energy Availability, and Substrate Utilisation

Extends EPK beyond static calorie models to examine substrate competition, dietary-fat storage and metabolic flexibility.

Version 1.2 DOI 10.5281/zenodo.23106407 Version 1.0 DOI 10.5281/zenodo.22674107 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF
EPK–004Revised working paper

Energy Availability and Human Functional Capacity

Examines whether sports physiology can help explain fatigue, reduced movement and poor recovery in the general population.

Version 1.2 DOI 10.5281/zenodo.23106408 Version 1.0 DOI 10.5281/zenodo.22678102 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF
EPK–005Revised working paper

Relative Energy Deficiency Beyond Sport

Considers energy availability, compensatory physiology and functional decline outside athletic populations.

Version 1.2 DOI 10.5281/zenodo.23106409 Version 1.0 DOI 10.5281/zenodo.22673566 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF
EPK–006Revised working paper

Energy Availability, Metabolic Flexibility, and Cognitive Aging

Sets out a cautious, testable neuroenergetic hypothesis linking energetic sufficiency, movement and metabolic flexibility.

Version 1.2 DOI 10.5281/zenodo.23106414 Version 1.0 DOI 10.5281/zenodo.22673295 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF
EPK–007Revised working paper

Proportional Danger Theory

Proposes that immune responsiveness may be shaped by both danger signals and the energetic resources available to respond and recover.

Version 1.2 DOI 10.5281/zenodo.23106415 Version 1.0 DOI 10.5281/zenodo.22690834 Previous release · v1.1.1 DOIPrevious release · v1.1.1 PDFOriginal PDFPrevious revision · v1.1 PDF

Further working papers

Energy requirements in context

Narrative working papers on energy estimation, dietary composition, body composition and energy requirements. These supplements report no new experiments and are not peer reviewed. Each has a permanent Zenodo DOI.

Targeted narrative reviewPublished working paper

Fuel Selection, Tissue Function and Recovery

A selected evidence review linking dietary composition, cortisol, PUFA, tissue regeneration and recovery to testable EPK questions. Includes 14 references, study limitations and connections to the seven working papers.

Zenodo DOI 10.5281/zenodo.23103192
Narrative evidence reviewPublished working paper

Calorie Restriction, Cortisol and Abdominal Fat

A nine-page review with 11 primary research references, examining restriction, stress responses and abdominal fat. Distinguishes visceral fat, subcutaneous fat and visible muscular definition, and considers sustainable body-composition goals.

Includes evidence of abdominal fat loss during restriction and a proposed study of EPK, function and dietary tolerability.

Zenodo DOI 10.5281/zenodo.23101380
Narrative literature reviewPublished working paper

Wearable-Informed Energy Baselines for EPK

A review of individual energy estimation, low-fat diets and performance fuelling, with 22 references. Examines wearable data versus resting-expenditure × PAL estimates, prescribed and achieved fat intake, and the evidence for a 15% performance surplus.

Distinguishes evidence supporting the approach from questions requiring EPK validation.

Zenodo DOI 10.5281/zenodo.23097644
EPK–008Published preprint

25 kcal/kg/day: Clinical Minimums and a Testable EPK Question

Examines where 25 kcal/kg/day is used, distinguishes guidance from physiology, and proposes a clinical validation design.

Zenodo DOI 10.5281/zenodo.22712260

Research articles

Following the evidence

Primary studies, their limits and the questions they raise for EPK. Browse all articles

Research perspective · 21 October 2026

The energy cost of stress: appetite, food quality and the demands of coping

Stress can alter cellular energy use while disrupting eating. Some people lose their appetite; others eat more or choose differently. What does that mean for adequate fuelling?

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Research perspective · 20 October 2026

ATP does more than supply energy

Protein solubility offers a useful extension to the energy-currency explanation of ATP, without replacing its established energetic role.

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Research perspective · 20 October 2026

Cell water: an active environment, but how structured?

Water–protein interactions matter. Their existence does not establish that most cellular water is immobilised or that a particular diet restructures it.

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Research perspective · 20 October 2026

The sodium–potassium pump: the energy cost of electrical readiness

Artificial membranes are not living cells. A critical examination of what reconstruction can demonstrate, what it leaves out, and how to assess Ling’s alternative.

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Research perspective · 20 October 2026

How do we know mitochondria make ATP?

Reconstitution, molecular rotation and competing explanations: examining the evidence behind energy coupling.

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Research perspective · 20 October 2026

Fuelling changes expenditure: why energy needs are not fixed

Overfeeding experiments show an adaptable expenditure response—and the limits of that adaptation.

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Research perspective · 20 October 2026

Metabolic rate and longevity: capacity, stress and the cost of illness

Higher resting expenditure can accompany greater oxidative capacity—or fever, catecholamine activity and tissue loss. The cause matters.

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Research perspective · 20 October 2026

Recovery is more than replacing calories

Muscle energy markers and force can recover on different timelines. Adequate fuelling matters, but it is not the only part of recovery.

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Research perspective · 20 October 2026

Phosphate, kidneys and ageing: what the mouse experiment can tell us

A genetic rescue experiment raises an important mineral-regulation question, but does not establish a universal low-phosphate diet.

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Research perspective · 20 October 2026

Brain lactate: backup fuel, ageing and the sporting threshold

Why useful fuel, persistent accumulation and a sporting test result need different interpretations—and why fuelling matters more than chasing a low lactate number.

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Research perspective · 19 October 2026

Predictability, control and manageable demands

Knowing what comes next and having a meaningful choice are different forms of support.

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Research perspective · 19 October 2026

One meal does not ruin the day

Dietary rules can create a second problem after the meal: abandoning the plan or trying to compensate for it.

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Research perspective · 19 October 2026

When rest does not feel restful

Leaving work and recovering from its demands are not always the same event.

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Research perspective · 19 October 2026

Why stress changes the habits we fall back on

Knowing what you want to do and being able to act on it under pressure are different problems.

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Research perspective · 19 October 2026

Hunger after weight loss: why willpower is an incomplete explanation

Appetite is an outcome worth measuring, not an inconvenience to remove from the story.

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Research perspective · 19 October 2026

When food tracking helps—and when it becomes another demand

A useful record should help someone understand their needs without making every meal a test.

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Research perspective · 19 October 2026

Why exercise can feel harder after a mentally demanding day

Mental fatigue can change performance without demonstrating a large extra calorie expenditure.

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Research perspective · 19 October 2026

Having the skill: why pressure can change access to ability

Performance reflects the task and the setting as well as what someone knows how to do.

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Research perspective · 19 October 2026

Autism, communication and the social setting

Information accuracy, comfort and connection are different outcomes—and all deserve attention.

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Research perspective · 19 October 2026

Recovery can mean learning safety, not erasing the past

Why reassurance, memory and returning to activity do not always move at the same pace.

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Research perspective · 19 October 2026

Does calorie restriction always worsen wellbeing? The CALERIE counterpoint

Taking dietary distress seriously also means examining trials in which participants reported benefits.

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Research perspective · 17 October 2026

Beyond the scales: strength, ageing and measuring function

A grip-strength study raises a useful question for nutrition research: what happens to the person’s capabilities, alongside their body mass?

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Research perspective · 17 October 2026

Mitochondrial signalling, lipid oxidation and ageing

A cellular-ageing study connects mitochondrial signals with membrane fats—and complicates the idea that more energy production is always better.

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Research perspective · 17 October 2026

Endurance exercise, red blood cells and recovery

The demands of a long race reach beyond the calorie counter. What can red-cell research tell us about recovery?

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Research perspective · 9 October 2026

Mental fatigue, stress and energy needs

A demanding day can be exhausting without much movement. What does the research actually tell us about its energy cost?

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Research perspective · 7 October 2026

Childhood adversity and the energy of muscle

What a study of older adults can tell us about life experience, ATP production and the limits of a metabolic explanation.

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Research perspective · 7 October 2026

Stress, anxiety and mitochondrial pathways

Why cellular energy belongs in the discussion of stress—and why blood-cell gene expression is not a diagnosis of brain energy deficiency.

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Research perspective · 7 October 2026

Body size does not tell the whole energy story

Healthy underweight adults had higher-than-predicted resting expenditure—but also lower intake and activity. All three findings matter.

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Research perspective · 7 October 2026

Mitochondrial electron flow and immune readiness

A mechanistic study shows why mitochondrial function involves cellular regulation as well as ATP production.

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Research perspective · 7 October 2026

Appetite, autonomy and the limits of compliance

An eating plan should help the person live well. Understanding hunger and learned behaviour gives us better questions than whether someone obeyed the rules.

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Research perspective · 7 October 2026

There is no magic diet: make consistency possible

An extract from Consistent Eating, followed by a practical answer: build a pattern that nourishes you and can be repeated.

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Research perspective · 7 October 2026

Resting needs are not your whole day

From the first edition’s activity table to today’s wearable estimates: how to use energy numbers without counting the same calories twice.

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Research perspective · 7 October 2026

Not every kilogram has the same energy needs

An original Consistent Eating figure explains why body mass gives useful context—and why kcal/kg is not a universal metabolic score.

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Research perspective · 5 October 2026

Are we adequately fuelled? Calories, body mass and the historical record

What modern US dietary surveys and the famous US–Soviet calorie comparison can tell us about energy per kilogram—and what they cannot.

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Research perspective · 2 October 2026

Less body fat does not always mean better metabolic health

What a rare genetic disorder reveals about fat storage and mitochondrial function.

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Research perspective · 2 October 2026

Low-fat diets: carbohydrate source matters

A mouse experiment comparing sucrose with starch raises a specific dietary-composition question.

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Research perspective · 2 October 2026

Dietary fat, brain inflammation and mood

A mechanistic mouse study connects lipid signalling with behaviour.

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Research perspective · 2 October 2026

Fat oxidation is not the same as body-fat loss

Controlled feeding evidence, metabolic adaptation and the limits of DCA claims.

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Research perspective · 2 October 2026

PUFA tracking: what cellular research can tell us

The rationale and limits of an optional dietary-fat target.

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Research perspective · 2 October 2026

Carbohydrate intake can change cortisol metabolism

A human crossover study separates dietary composition from weight change.

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Research perspective · 2 October 2026

Fasting, hair regeneration and energy supply

A tissue-specific response that deserves attention beyond the weighing scale.

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Research perspective · 2 October 2026

Cortisol signalling depends on tissue and context

Why a local hormone increase can accompany an improvement.

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Research perspective · 2 October 2026

NAD precursors and evidence for energy support

What a small combination-supplement trial can and cannot establish.

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Research perspective · 2 October 2026

Under-fuelling, cortisol and the persistence of hunger

What human experiments reveal about restriction, stress and the biological effort of maintaining weight loss.

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Research perspective · 2 October 2026

Enough energy, available carbohydrate and better performance

Why avoiding under-fuelling and supporting carbohydrate use are related but distinct questions for EPK.

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Research perspective · 2 October 2026

Fat type, storage location and ageing: beyond the scales

What human studies reveal about liver fat, subcutaneous stores and changing fatty-acid composition during weight loss and ageing.

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Research perspective · 2 October 2026

Carbohydrate, fat and EPK: what an overfeeding experiment can tell us

A controlled feeding study raises a question for EPK: can equal energy per kilogram produce different metabolic responses?

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Research perspective · 11 September 2026

Mitochondria, stress and the energy to function

What Martin Picard’s research contributes to EPK: fuel supply, cellular utilisation and the energetic cost of stress.

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Research perspective · 11 September 2026

How often do diets fail - and what does failure mean?

Adherence, weight regain and the burden of restriction are different questions. The evidence supports asking all three.

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Research perspective · 11 September 2026

What starvation research reveals about restrictive dieting

Metabolism, hunger, behaviour and recovery in The Biology of Human Starvation — and what they mean for EPK.

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Research perspective · 11 September 2026

The Minnesota Starvation Experiment: energy, behaviour and recovery

Keys and colleagues documented the consequences of prolonged semi-starvation. Later reanalyses help frame questions about appetite and metabolic adaptation.

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Research perspective · 11 September 2026

Sapolsky, stress and energy: what belongs in EPK research?

Stress biology helps explain why behaviour depends on physiological and social context. It does not reduce every stress response to insufficient calories.

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Research perspective · 11 September 2026

Can under-fuelling disrupt sleep?

Human evidence links some forms of energy restriction to disturbed sleep, but the response depends on the exposure and population.

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Research perspective · 11 September 2026

Energy availability and testosterone: why the response is not a single cutoff

Human studies connect under-fuelling with hormonal and functional changes, while showing why testosterone is not a calorie gauge.

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Research perspective · 11 September 2026

Sleep can change what is lost during a calorie deficit

A controlled human experiment connects sleep with body composition during dieting—and gives EPK a more specific recovery question.

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Research perspective · 11 September 2026

Everyday movement changes how the body handles a meal

Short walking studies connect activity patterns with glucose regulation, without equating acute glucose changes with long-term fat loss.

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Research perspective · 11 September 2026

Low-fat diets show why burning fat and losing fat are different

Controlled feeding studies help explain why fuel selection, food intake and body-fat change need separate measurements.

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Research perspective · 11 September 2026

Mitochondrial function means more than burning calories

Exercise adaptation and lactate use show why energy throughput, useful work and cellular function must be distinguished.

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Research perspective · 11 September 2026

Does mental work change appetite or calorie expenditure?

Cognitive effort, food intake and energy expenditure are separate outcomes. Measuring each can make the brain-energy question more useful.

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Research perspective · 11 September 2026

Why a kilogram of body weight does not have one energy cost

Body mass provides a useful scale, but age and tissue composition affect what an energy-per-kilogram value means.

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Research perspective · 11 September 2026

Energy per kilogram in performance and elite sport

Why total intake, exercise expenditure and fat-free mass must be measured separately.

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Research perspective · 11 September 2026

Energy needs from gestation and birth to older age

A lifespan map that separates maternal needs, growth, resting metabolism and total daily requirements.

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Research perspective · 11 September 2026

Energy per kilogram in disease: why one number is insufficient

Cancer, older-age care and critical illness illustrate different uses of weight-based estimates.

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Research perspective · 11 September 2026

Where 25 kcal/kg/day is described as a minimum

Clinical intake guidance and measured resting metabolism offer distinct reference points for EPK.

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Research perspective · 11 September 2026

Why sustaining a calorie deficit can become difficult

Appetite feedback helps explain adherence problems without making diet failure inevitable.

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Research perspective · 11 September 2026

Low-carb performance and resting metabolism need separate tests

Reduced exercise output does not automatically mean a lower resting metabolic rate.

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Research perspective · 11 September 2026

Ageing changes strength as well as muscle mass

Tracking lean mass alone can miss substantial losses of functional capacity.

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Research perspective · 11 September 2026

Healthspan needs outcomes beyond metabolic rate

Mobility and disease risk help test whether an energetic change is beneficial.

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Research perspective · 11 September 2026

What exceptional longevity can tell us about resting metabolism

Exceptional longevity raises a useful question, but the available RMR evidence needs careful interpretation.

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Research perspective · 11 September 2026

What would make EPK a useful research measure?

A testable question connecting energy intake, fuel switching and human function.

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Research perspective · 11 September 2026

What human studies add to the EPK question

Six relevant PubMed papers, including findings that support, qualify and challenge the proposed mechanisms.

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Research perspective · 11 September 2026

Fat oxidation is only part of the question

Why EPK research needs to distinguish fuel supply, oxidation and the ability to change fuels.

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Research perspective · 11 September 2026

Mitochondrial membranes need a more precise fat story

What cardiolipin and lipid–protein research can contribute to EPK.

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Research perspective · 11 September 2026

From sleep pressure to cognitive aging

Promising mitochondrial questions, with important gaps between experimental models and human outcomes.

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Research perspective · 11 September 2026

Immune capacity involves more than ATP

A dendritic-cell study refines the proposed Proportional Danger Theory.

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Research principles

Built to be examined.

The archive is designed for clarity, permanence and constructive scrutiny—not for presenting an evolving hypothesis as settled fact.

Versioned

Releases are dated and versioned. The original series and its revisions have version-specific DOIs; the new supplements also have permanent Zenodo DOIs. Original version 1.0 records remain available.

Accessible

Clear summaries sit alongside definitions, methods, limitations and references.

Testable

Provisional propositions, limitations and research questions are stated so the framework can be examined empirically.

About

A public home for the EPK hypothesis.

EPK Research is an independent project founded by Billy Craig to formalise, document and invite scrutiny of the Energy per Kilogram concept.

Paper 1 establishes the foundation for six connected working papers. Every original paper has a permanent DOI. Revised manuscripts have separate version labels and retain links to those original records.

Publication here does not imply peer review, clinical validation or scientific consensus. EPK thresholds remain provisional and the framework is presented as a testable hypothesis.

billy@enerjarden.com