Mathematical modelling of the plasticity of energy stores at cellular scale

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Mathematical modelling of the plasticity of energy stores at cellular scale

Masoomeh Taghipoor, Jaap van Milgen, Ludovic Brossard, Florence Gondret

To cite this version:

Masoomeh Taghipoor, Jaap van Milgen, Ludovic Brossard, Florence Gondret. Mathematical mod- elling of the plasticity of energy stores at cellular scale. 8. International Workshop on Modelling Nutrient Digestion and Utilization in Farm Animals, Sep 2014, Cairns, Australia. CSIRO, Astralien Centre for International Agricultural Research, Animal Production Science, 54 (11/12), 2014, Animal Production Science. �hal-01210686�

D YNAMICS OF ENERGY RESERVES IN A GENERIC CELL

M. T^AGHIPOOR, J. V^ANM^ILGEN, L. B^ROSSARD, F. G^ONDRET

French national institute of agricultural research (INRA)

INTRODUCTION

Faced with environmental con- straints (nutritional, pathogens and disease, climate), animal modifies its energy metabolism at a cellular scale to guarantee its homeostasis. For example, in the case of nutritional chal- lenges, the energy stocks are mobilized to produce the re- quired energy for animal. In this study, we investigate the plasticity of the energy reserves

at cellular scale according to nu- trient inputs and energy needs.

Genetic Growth Reproduction

Lactation …

ANIMAL

(state 1)

ANIMAL

(state 2)

NUMERICAL SIMULATIONS

0 1000 2000 3000 4000

(a) ATP consumption = 0/time step

Time

0246810

Fatty acids (%) Glycogen (%)

0 1000 2000 3000 4000

0246810

(a) ATP consumption = 0/time step

Time

ATP/ADP (unitless) Glucose (g)

0 1000 2000 3000 4000

(b) ATP consumption = 0.5/time step

Time

0246810

Fatty acids (%) Glycogen (%)

0 1000 2000 3000 4000

0246810

(b) ATP consumption = 0.5/time step

Time

ATP/ADP (unitless) Glucose (g)

0 1000 2000 3000 4000

(c) ATP consumption = 1/time step

Time

0246810

Fatty acids (%) Glycogen (%)

0 1000 2000 3000 4000

0246810

(c) ATP consumption = 1/time step

Time

ATP/ADP (unitless) Glucose (g)

Figure 1: Three levels of ATP need have been compared: (a) no energy need, (b) 0.5 ATP per minute and (c) 1 ATP per minute for continuous entry of 160 glucose units.

0 1000 2000 3000 4000

(a) f = 1, GLC=160

Time

0246810

Fatty acids (%) Glycogen (%)

0 1000 2000 3000 4000

0246810

(a) f = 1, GLC=160

Time

ATP/ADP (unitless) Glucose (g)

0 1000 2000 3000 4000

(b) f = 4, p = 500, GLC/p = 40

Time

0246810

Fatty acids (%) Glycogen (%)

0 1000 2000 3000 4000

0246810

(b) f = 4, p = 500, GLC/p = 40

Time

ATP/ADP (unitless) Glucose (g)

0 1000 2000 3000 4000

(c) f = 10, p= 300, GLC/p = 16

Time

0246810

Fatty acids (%) Glycogen (%)

0 1000 2000 3000 4000

0246810

(c) f = 10, p= 300, GLC/p = 16

Time

ATP/ADP (unitless) Glucose (g)

Figure 2: Three feeding frequencies have been compared, (a) one entry of 160 GLC, (b) 4 entries of 40 GLC et (c) 10 entries of 16 GLC.

C^ONCLUSION

The model is generic and phenomenological, and provides a ba- sis to investigate various hypotheses in animal biology. It allows for example studying the postprandial metabolism (fast dynam- ics) and energy stock management in lactation/gestation (slow dy- namics). Furthermore, it allows understanding and predicting the effects of diets containing contrasting sources of energy (carbohy- drates / lipids) on the energy stocks in animal.

MATHEMATICAL MODELLING

A dynamic model has been developed to observe the evolution of energy stocks in a generic cell. Taking into account the main regula- tors of enzymes activities allows the model to describe the dynamics of storage and use of glycogen and lipids stores in a cell. The bio- chemical network of our model is represented in Figure below

dS

dt = N · ν(k, S)

S = (s₁, ...s₁₅), ν = (ν₁, ..., ν₁₉) N = [n_ij]_{1≤i≤15, 1≤j≤19}

Regulation of pentose phosphate pathway (ν_{P P} ):

1. required energy for the cell is provided (Energy = E_s) 2. glycogen reserve is filled (glycogen = G_m)

3. the surplus of intake nutrients in F 6P is then deviated toward pentose phosphate pathway.

C^ONTACT I^NFORMATION

Email: [email protected]