Remote | Physics Expert (Biophysics / Statistical Physics) — $80–$160/hour

We are sharing a specialised consulting opportunity for experienced Physics Experts in biophysics, statistical physics, stochastic processes, and quantitative biological modelling with strong expertise in two-state stochastic models, Euler–Lotka analysis, perturbative methods, renewal theory, and first-passage-time techniques.

Selected professionals will contribute to a research-level project focused on bacterial population growth, stochastic growth-rate switching, cell-size regulation noise, and asymptotic population dynamics. Contributors may participate as Solvers, Auditors, or Adjudicators depending on subfield expertise, seniority, and hands-on familiarity with the relevant analytical methods. No prior experience in AI is required.

Key Responsibilities

Stochastic Population Modelling

• Analyse stochastic two-state processes in bacterial population dynamics
• Model transitions between distinct growth-rate states
• Work with gamma-distributed waiting times
• Evaluate how stochastic switching influences long-term population behaviour
• Develop or review mathematically consistent population-growth models

Euler–Lotka Analysis

• Apply the Euler–Lotka equation to asymptotic population growth
• Evaluate growth rates under different stochastic regimes
• Analyse the effect of variability in generation or waiting times
• Compare analytical predictions across model assumptions
• Assess whether proposed solutions are mathematically and physically consistent

Perturbative Expansion

• Develop or review perturbative expansions in small division-noise variance
• Determine leading-order corrections to population-growth predictions
• Evaluate the validity range of perturbative approximations
• Identify neglected terms or unjustified truncations
• Compare perturbative results with exact or numerical benchmarks where appropriate

Renewal Theory

• Apply renewal-theoretic methods to cell division and population dynamics
• Analyse repeated stochastic growth and division events
• Derive population-level quantities from event-time distributions
• Assess how renewal structure affects asymptotic growth
• Connect microscopic stochastic processes with macroscopic population behaviour

First-Passage-Time Analysis

• Apply first-passage-time methods to growth and size-regulation problems
• Derive distributions or moments associated with threshold-crossing events
• Analyse how fluctuations affect division timing and growth trajectories
• Interpret first-passage results in biological and statistical-physics terms
• Evaluate alternative derivations for correctness and consistency

Cell-Size Regulation & Noise

• Analyse stochastic cell-size regulation mechanisms
• Evaluate the impact of division noise on population dynamics
• Distinguish growth-rate fluctuations from size-control effects
• Assess how different noise sources influence observable population behaviour
• Interpret model predictions in biologically meaningful terms

Research Benchmark Evaluation

• Develop or review research-level analytical solutions
• Identify conceptual, mathematical, or methodological errors
• Compare competing approaches and assumptions
• Provide detailed written feedback grounded in statistical physics and biophysics
• Support reproducible benchmark development and validation

Solver, Auditor & Adjudicator Responsibilities

• Serve as a Solver by independently developing rigorous analytical solutions
• Serve as an Auditor by reviewing derivations, assumptions, and conclusions
• Serve as an Adjudicator when competing approaches require expert comparison
• Clearly document assumptions, methodology, and reasoning
• Adapt responsibilities based on technical expertise and seniority

Ideal Profile

• Advanced expertise in statistical physics, biophysics, or a closely related quantitative discipline
• Strong experience modelling stochastic biological or physical systems
• Proven familiarity with two-state stochastic models
• Experience working with gamma-distributed waiting times
• Strong command of the Euler–Lotka equation
• Demonstrated ability to apply perturbative expansions
• Strong working knowledge of renewal theory
• Experience with first-passage-time analysis
• Familiarity with bacterial population dynamics or cell-growth models is highly valuable
• Strong understanding of stochastic growth-rate fluctuations
• Ability to analyse noise in cell-size regulation
• Excellent mathematical and analytical reasoning skills
• Strong scientific-writing ability
• Ability to document assumptions and derivations clearly
• No prior AI-training or model-evaluation experience is required

Engagement Details

• Independent contractor engagement
• Fully remote
• Compensation: $80–$160/hour
• Work will involve stochastic population modelling, two-state processes, gamma-distributed waiting times, Euler–Lotka analysis, perturbative expansion, renewal theory, and first-passage-time analysis
• Contributors may participate as Solvers, Auditors, or Adjudicators depending on expertise and seniority
• Strong statistical-physics and quantitative-biophysics judgement is central to this engagement
• Assignments may involve bacterial growth models, stochastic switching, division noise, cell-size regulation, asymptotic growth rates, and research-level benchmark evaluation
• Project scope, workload, biological systems, and evaluation standards may evolve depending on project requirements
• Work must be completed without using confidential or proprietary information belonging to any employer, research institution, laboratory, collaborator, or other third party

About the Platform

This opportunity is available through 24-MAG LLC. We connect experienced professionals with remote consulting opportunities across technical, evaluation, and project-based workstreams.

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