PulseGrowth | Host Cell

01. Bio-Kinetics

Growth metrics (μ, doubling time, expansion factor, IVCD)

Δt (elapsed time)

Cell densities (×10⁶ cell/mL)

X0 (initial)

X1 (final)

μ (specific growth rate)

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Doubling time (t_d)

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Expansion factor (X1 / X0)

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IVCD (10⁶ cell·h/mL)

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02. Metabolics (q)

qGlc / qGln normalized by IVCD · consistent output

Glucose, Glc (C0 → C1)

Glutamine, Gln (C0 → C1)

qGlc (pmol/cell/day)

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qGlc (pg/cell/day)

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qGln (pmol/cell/day)

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qGln (pg/cell/day)

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03. Feed Control

Simple correction plan to reach target Glc / Gln

Glc stock (g/L)

Gln stock (mM)

Culture volume (mL)

Target Glc (g/L)

Target Gln (mM)

Mode

Glucose feed (mL)

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Glutamine feed (mL)

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Scientific fundamentals

PulseGrowth uses an exponential growth model between two sampling points to estimate μ and doubling time.

X = X₀ · e^(μ · t)

μ = ln(X₁ / X₀) / Δt

t_d = ln(2) / μ

For metabolite-specific rates, IVCD is estimated assuming exponential behavior within the interval.

IVCD = ((X₁ − X₀) / ln(X₁ / X₀)) · Δt

qGlc / qGln logic (unit-consistent)

To keep q comparable across inputs, the app converts g/L to mM using MW and reports q in pmol/cell/day.

mM = (g/L ÷ MW) × 1000

q = (ΔC / IVCD) × 24

Sign convention: q > 0 indicates net consumption; q < 0 indicates net accumulation.