About The Position

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 expertise and seniority. No prior experience in AI is required.

Requirements

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

Responsibilities

  • Analyse two-state stochastic processes, growth-rate switching, and gamma-distributed waiting times
  • Model bacterial growth, division, and long-term population dynamics
  • Apply Euler–Lotka analysis to asymptotic growth under different stochastic regimes
  • Evaluate how generation-time variability and growth fluctuations affect population behaviour
  • Connect microscopic stochastic mechanisms with macroscopic growth predictions
  • Develop and review perturbative expansions in small division-noise variance
  • Apply renewal theory to repeated stochastic growth and division events
  • Use first-passage-time methods to analyse threshold crossing, division timing, and size regulation
  • Evaluate approximation limits, neglected terms, and alternative derivations
  • Compare analytical predictions with exact or numerical results where appropriate
  • Develop rigorous analytical solutions as a Solver
  • Audit assumptions, derivations, mathematical consistency, and biological interpretation
  • Compare competing approaches and adjudicate technically disputed solutions
  • Identify conceptual, mathematical, or methodological errors
  • Document assumptions, methods, and conclusions with research-level precision

Benefits

  • Independent contractor engagement
  • Fully remote
  • Compensation: $80–$160/hour
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