Cellular and subcellular heterogeneity of astrocytic Na⁺ homeostasis tuning astrocytes into functionally distinct subgroups in the mouse brain.
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The authors' code
Python · 271 lines · 13 KB · MIT
- import numpy as np
- import time
- from utils import *
- from numba import njit
- from numba.typed import Dict
- from numba.core import types
- from pathlib import Path
- class Astrocyte:
- def __init__(self, dt, N, Ra, Cm1, astrocyte_data, stim_start_nt, stim_end_nt, glut_stim, pot_stim, stim_comp_glut, stim_comp_pot, stim_dur=0.0, n_stim=0, n_stimulated=0):
- self.dt = dt
- self.N = N
- self.Ra = Ra # intracellular resistivity
- self.Cm1 = Cm1
- self.stim_start_nt = stim_start_nt
- self.stim_end_nt = stim_end_nt
- self.stim_dur = stim_dur
- self.stim_comp_glut = stim_comp_glut
- self.stim_comp_pot = stim_comp_pot
- self.glut_stim = glut_stim
- self.pot_stim = pot_stim
- self.n_stim = n_stim
- self.n_stimulated = n_stimulated
- # Load astrocyte data
- self.astrocyte = np.loadtxt(astrocyte_data)
- self.parents = self.astrocyte[:, 6].astype(int)
- self.parents[0] = 0 # Root of tree
- self.xaxis, self.yaxis, self.zaxis, self.radius, self.identifier = self.astrocyte[:, 2], self.astrocyte[:, 3], self.astrocyte[:, 4], self.astrocyte[:, 5], self.astrocyte[:, 1]
- self.ids = self.astrocyte[:, 0].astype(int)
- # Initialize variables
- self.init_variables()
- def init_variables(self):
- #self.tau1, self.tau2, self.tau3, self.tau4, self.tau5 = 30.0, 35.0, 40.0, 45.0, 50.0
- # Initialize geometry-related variables
- self.distance_from_soma = np.zeros(self.N)
- self.length = np.zeros(self.N)
- self.area = np.zeros(self.N)
- self.area_cross = np.zeros(self.N)
- self.volume = np.zeros(self.N)
- self.rho = np.zeros(self.N)
- self.Rm = np.zeros(self.N)
- self.Cm = np.zeros(self.N)
- self.g_l = np.zeros(self.N)
- self.DiffK = np.zeros(self.N)
- self.DiffNa = np.zeros(self.N)
- self.DiffCa = np.zeros(self.N)
- self.gamma = np.zeros(self.N)
- self.rho2 = np.zeros(self.N)
- # Calculate geometric properties and initialize electrical parameters
- for i in range(self.N):
- self.calculate_geo_res(i)
- self.distance_from_soma[:] = 0.0
- for i in range(self.N):
- j = self.parents[i] # parent ID
- if j > 0: # parent row index
- self.distance_from_soma[i] = self.distance_from_soma[j-1] + self.length[i]
- else:
- # roots / soma samples start at 0
- self.distance_from_soma[i] = 0.0
- for i in range(self.N):
- self.calculate_gamma(i)
- self.branch_to_comps , self.branch_max_dict = self.compute_branch_groups()
- self.nb_branch_to_comps, self.nb_branch_max = self.convert_to_numba_dict()
- def compute_branch_groups(self):
- # """
- # Returns:
- # - branch_to_indices: {"branch_1": [row_idx0, row_idx1, ...], ...}
- # - branch_to_ids : {"branch_1": [id0, id1, ...], ...} (SWC IDs)
- # - branch_heads_id : {"branch_1": head_id, ...} (SWC ID of head)
- # - branch_max_dict : {"branch_1": max_distance, ...}
- # - branch_label : np.ndarray (N,) with the head row-index label for each node (-1 for soma/root)
- # Notes:
- # * A "primary branch" is the subtree whose root is any node whose parent <= 0.
- # * Uses parent-row = parent_id - 1 (j-1).
- # """
- # 1) Label each node by its primary branch head (child of soma)
- labels = np.full(self.N, -1, dtype=int)
- for i in range(self.N):
- if self.parents[i] <= 0:
- continue # soma/root nodes are not inside any branch
- k = i
- while self.parents[k] > 0 and self.parents[self.parents[k] - 1] > 0:
- k = self.parents[k] - 1
- labels[i] = k # k is the row index of the branch head
- # 2) Keep heads in order of first appearance (stable branch_1, branch_2, ...)
- heads, seen = [], set()
- for k in labels:
- if k >= 0 and k not in seen:
- heads.append(k); seen.add(k)
- # 3) Build groups and compute max per branch (include the head itself)
- branch_to_indices = {}
- branch_to_comps = {}
- branch_heads_id = {}
- branch_max_dict = {}
- for idx, h in enumerate(heads, start=1):
- name = f"branch_{idx}"
- mask = (labels == h) | (np.arange(self.N) == h) # include head
- idxs = np.nonzero(mask)[0] # all row indices in this branch
- branch_to_indices[name] = idxs.tolist()
- branch_to_comps [name] = [int(self.ids[j])-1 for j in idxs]
- branch_heads_id[name] = int(self.ids[h])
- branch_max_dict[name] = float(np.max(self.distance_from_soma[idxs]))
- return branch_to_comps, branch_max_dict
- # Convert to Numba typed dictionary
- def convert_to_numba_dict(self):
- # Create typed dicts
- nb_branch_to_comps = Dict.empty(
- key_type=types.int64,
- value_type=types.int64[:]
- )
- nb_branch_max = Dict.empty(
- key_type=types.int64,
- value_type=types.float64
- )
- # Map branch names to integers and fill dicts
- for idx, (bname, comps) in enumerate(self.branch_to_comps.items()):
- nb_branch_to_comps[idx] = np.array(comps, dtype=np.int64)
- nb_branch_max[idx] = self.branch_max_dict[bname]
- return nb_branch_to_comps, nb_branch_max
- def calculate_geo_res(self, i):
- # self.distance_from_soma[i] = np.sqrt((self.xaxis[i] - self.xaxis[0])**2 + (self.yaxis[i] - self.yaxis[0])**2 + (self.zaxis[i] - self.zaxis[0])**2)
- # self.distance_from_soma, _, _ = self.cumulative_distance_from_soma(self.ids, self.parents, self.x, self.y, self.z)
- j = self.parents[i]
- if i == 0:
- self.length[i] = self.radius[i]
- self.area[i] = 4.0 * np.pi * self.radius[i]**2
- self.volume[i] = 4.0/3.0 * np.pi * self.radius[i]**3
- else:
- self.length[i] = np.sqrt((self.xaxis[i] - self.xaxis[j-1])**2 + (self.yaxis[i] - self.yaxis[j-1])**2 + (self.zaxis[i] - self.zaxis[j-1])**2)
- self.area[i] = 2.0 * np.pi * self.radius[i] * self.length[i]
- self.volume[i] = np.pi * self.radius[i]**2 * self.length[i]
- self.area_cross[i] = np.pi * self.radius[i]**2
- self.rho[i] = self.Ra * 1.0e4 * self.length[i] / (2.0 * np.pi * self.radius[i]**2) #ohms
- if self.identifier[i] not in [1, 2]:
- self.Rm[i] = 50000.0
- self.Cm[i] = self.Cm1 * 2.0
- else:
- self.Rm[i] = 50000.0
- self.Cm[i] = self.Cm1
- self.g_l[i] = 1000.0 / self.Rm[i]
- def calculate_gamma(self, i):
- for i in range(self.N):
- j = self.parents[i]
- if i == 0:
- if self.N == 1:
- self.rho2[i] = 0
- self.gamma[i] = 0
- else:
- self.rho2[i] = 1.0 / (self.rho[i] + self.rho[i+1]) # 1/ohms i+1 last
- self.gamma[i] = 1.0e11 * self.rho2[i] / (2.0 * np.pi * self.radius[i+1] * self.length[i+1])* 1.0e-5 #mS/cm^2 i+1 both
- else:
- self.rho2[i] = 1.0 / (self.rho[i] + self.rho[j-1])
- self.gamma[i] = 1.0e11 * self.rho2[i] / (2.0 * np.pi * self.radius[i] * self.length[i]) * 1.0e-5 #mS/cm^2
- self.DiffK[i] = 250.0 * self.area_cross[i]/ (self.length[i] * self.volume[i]) # /s. 250 is the diffusion coefficent in um^2/s
- self.DiffNa[i] = 600.0 * self.area_cross[i]/ (self.length[i] * self.volume[i]) # /s #600
- # self.DiffCa[i] = 5.0 * self.area_cross[i]/ (self.length[i] * self.volume[i])
- def astrocyte_dynamics_diffusion(self, iskip, last):
- v, Kos, Naks, Clks, Kks, Nass, time_array, JNaKks, phis, phos, Icoups, IdiffKs, IdiffNas, IdiffCas, Caks, JNaks, JTRPVks, Iks, JNBCks, JNHEs, JNKCC1ks, JNCXs, JNaKks_alpha2beta1, JNaKks_alpha2beta2, JGluTs = update_astrocyte_dynamics(self.dt, self.identifier, self.gamma, self.parents, self.DiffNa, self.DiffK, self.DiffCa, self.g_l, self.distance_from_soma, self.radius, self.area, self.area_cross, self.volume, self.Cm, self.stim_start_nt, self.stim_end_nt, self.stim_dur, self.glut_stim, self.pot_stim, self.stim_comp_glut, self.stim_comp_pot, self.n_stim, self.n_stimulated, self.N, last, iskip, self.nb_branch_max, self.nb_branch_to_comps)
- return v, Kos, Naks, Clks, Kks, Nass, time_array, JNaKks, phis, phos, Icoups, IdiffKs, IdiffNas, IdiffCas, Caks, JNaks, JTRPVks, Iks, JNBCks, JNHEs, JNKCC1ks, JNCXs, JNaKks_alpha2beta1, JNaKks_alpha2beta2, JGluTs
- if __name__ == "__main__":
- start_time = time.time()
- select_cell = "Astrocyte"
- if select_cell == "Astrocyte":
- astrocyte_data_file = Path("NMO_282188.txt") # edit path. SHould be good as long as the file is in the same dir as this script
- if not astrocyte_data_file.is_file():
- raise FileNotFoundError(
- f"[ERROR] File not found: {astrocyte_data_file.resolve()}\n"
- "Please make sure a valid astrocytic morphology .txt file path is provided."
- )
- else:
- df = np.loadtxt(astrocyte_data_file)
- xaxis, yaxis, zaxis, parents, identifier = df[:, 2], df[:, 3], df[:, 4] , df[:,6].astype(int), df[:, 1]
- parents[0] = 0
- ids = df[:, 0].astype(int)
- # Uncomment for parent-child visualization purpose
- # # Build segments (parent -> child, then None to break)
- # id2idx = {nid: i for i, nid in enumerate(ids)}
- # Xs, Ys, Zs = [], [], []
- # for i, pid in enumerate(parents):
- # if pid > 0 and pid in id2idx:
- # p = id2idx[pid]
- # Xs += [xaxis[p], xaxis[i], None]
- # Ys += [yaxis[p], yaxis[i], None]
- # Zs += [zaxis[p], zaxis[i], None]
- data_size = df.shape[0]
- N = 3 # number of compartment to simulate. 1 if modeling a single cell with whole cell attributes else "data_size" for all compartments
- N_1 = 0
- N_2 = 3
- # save mutiple csv's for distance and branches
- astrocyte_init = Astrocyte(dt=0.00000010, N=N, Ra=400.0, Cm1=1.0, astrocyte_data=astrocyte_data_file, stim_start_nt=None, stim_end_nt=None, glut_stim=None, pot_stim=None, stim_comp_glut=None, stim_comp_pot=None)
- df_dist_soma = pd.DataFrame({
- 'Compartment_Index': range(len(astrocyte_init.distance_from_soma)),
- 'Distance_from_Soma_um': astrocyte_init.distance_from_soma
- })
- df_dist_soma.to_csv("distance_from_soma.csv", index=False)
- df_branch_to_comps = pd.DataFrame(list(astrocyte_init.branch_to_comps.items()), columns=['branch', 'compartments'])
- df_branch_to_comps.to_csv("branch_to_comps.csv", index=False)
- df_branch_max_dict = pd.DataFrame.from_dict(astrocyte_init.branch_max_dict, orient='index', columns=['max_value'])
- df_branch_max_dict.to_csv("branch_to_max_distance.csv")
- ################################################ Adjust for stimulation timing modifications ##################################################################
- stim_start_nt = 220000000 #220000000 #22nd second 1000000000
- stim_end_nt = 230000000 #230000000 #23rd second
- stim_type = "Potassium"
- if stim_type == "Potassium":
- pot_stim_freq = "Single"
- if pot_stim_freq == "Single":
- pot_stim_comps = {}
- pot_stims = {}
- pot_stim_comps["stim_comp_0"] = 0
- pot_stims["pot_stim_0"] = 7000
- pot_stim_comps_array = np.array(list(pot_stim_comps.values()), dtype=np.int64)
- pot_stims_array = np.array(list(pot_stims.values()), dtype=np.float64)
- astrocyte = Astrocyte(dt=0.00000010, N=N, Ra=400.0, Cm1=1.0, astrocyte_data=astrocyte_data_file, stim_start_nt=stim_start_nt, stim_end_nt=stim_end_nt, glut_stim=None, pot_stim=pot_stims_array, stim_comp_glut=None, stim_comp_pot=pot_stim_comps_array)
- iskip = 1000 #for testing/identifying only the base and the peak if needed, use 1000; else 16000
- last = 300000000 # for testing/identifying only the base and the peak if needed, use 300000000; else 10000000000 for 1000s
- vs, Kos, Naks, Clks, Kks, Nass, time_array, JNaKks, phis, phos, Icoups, IdiffKs, IdiffNas, IdiffCas, Caks, JNaks, JTRPVks, Iks, JNBCks, JNHEs, JNKCC1ks, JNCXs, JNaKks_alpha2beta1, JNaKks_alpha2beta2, JGluTs = astrocyte.astrocyte_dynamics_diffusion(iskip, last)
- comb_df = concat_ast_param(vs, Naks, Kos, Kks, Caks, phos, phis, IdiffNas, JNaks, JNaKks, Iks, time_array, JNBCks, JNHEs, JNKCC1ks, JNCXs, JNaKks_alpha2beta1, JNaKks_alpha2beta2, JGluTs, N_1, N_2)
- output_path = Path(__file__).with_name("comb_astro_data.csv")
- comb_df.to_csv(output_path, index=False)
- end_time = time.time()
- elapsed_time = end_time - start_time
- print(f"Simulation Completed! Total time elapsed: {elapsed_time} seconds")
ast_modeling.py at commit f315644, under MIT · at the source
Overview
- Institute of Neurobiology, Faculty of Mathematics and Natural Sciences, Heinrich Heine University Düsseldorf,Düsseldorf, Germany
- Department of Physics, University of South Florida,Tampa, FL USA
- Institute of Cellular Neurosciences I, Medical Faculty, University of Bonn,Bonn, Germany
- Department of Neurosurgery, University Hospital Erlangen, Friedrich-Alexander-Universität,Erlangen, Germany
- German Center for Neurodegenerative Diseases,Bonn, Germany
Abstract
Astrocytes maintain extracellular ion and transmitter homeostasis, with the Na⁺ inward gradient playing a crucial role. Earlier studies suggested a rather low, uniform Na⁺ distribution in astrocytes, consistent with the view that these basic homeostatic properties are well-protected. Here, we employed multi-photon fluorescence lifetime imaging to quantitatively determine astrocytic [Na+] in mouse brain tissue slices and in vivo. Our data reveals a significant subcellular and cellular heterogeneity in astrocytic [Na+], accompanied by differences in the capacity for Na+/
Reproduced under the paper's license (CC BY), from the paper cited above.
Repositories
Its files are read in the Code ↔ Paper reader above.
Zenodo 19487413
Availability: 1 check, the latest on 28 September 2026: the link answers (HTTP 200)
- 28 September 2026: the link answers (HTTP 200)
banalok/modeling
f315644b6ccc320d7d655f8b21e1136a84ab6f54, 17 February 2026Availability: 1 check, the latest on 28 September 2026: the link answers
- 28 September 2026: the link answers
5 files
- ast_modeling.py, Python, 271 lines
- plot_utils.py, Python, 2,497 lines
- utils.py, Python, 666 lines
- LICENSE, License, 21 lines
- README.md, Text, 56 lines
Code availability
The code used to compute the results and statistics, as well as generate visualizations of biophysical simulations, is deposited in a GitHub public repository at 10.5281/
Reproduced under the paper's license (CC BY), from the paper cited above.
Tracing map
Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.
What the map holds:
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- no match between paragraphs and code yet;
- neither the text of the paper nor the code itself.
Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.
Data
No dataset and no data link were found in the paper.
Data availability
The source data generated in this study are provided in the Source Data file. Further data are available from the lead contact upon request. Source data are provided in this paper.
Reproduced under the paper's license (CC BY), from the paper cited above.
Versions
The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.
Version 1, 28 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 13 authors, 2 keywords, 10 MeSH terms, 4 funders, 72 references, 1 RRID.
Cite
This paper
Meyer, J., Bornemann, V., Bhattarai, A., Eitelmann, S., Unichenko, P., Durry, S., Kafitz, K. W., Chalmers, N., Fan, J., Beckervordersandforth, R., Henneberger, C., Ullah, G., & Rose, C. R. (2026). Cellular and subcellular heterogeneity of astrocytic Na⁺ homeostasis tuning astrocytes into functionally distinct subgroups in the mouse brain. Nature communications, 17(1), 4515. https://
BibTeX
@article{meyer2026cellul
author = {Meyer, Jan and Bornemann, Viola and Bhattarai, Alok and Eitelmann, Sara and Unichenko, Petr and Durry, Simone and Kafitz, Karl W. and Chalmers, Nicholas and Fan, Jianfeng and Beckervordersandforth, Ruth and Henneberger, Christian and Ullah, Ghanim and Rose, Christine R.},
title = {{Cellular and subcellular heterogeneity of astrocytic Na⁺ homeostasis tuning astrocytes into functionally distinct subgroups in the mouse brain}},
journal = {Nature communications},
year = {2026},
month = may,
volume = {17},
number = {1},
pages = {4515},
publisher = {Nature Publishing Group},
issn = {2041-1723},
doi = {10.1038/
url = {https://
pmid = {42161940},
pmcid = {PMC13190688}
}
RIS
TY - JOUR
AU - Meyer, Jan
AU - Bornemann, Viola
AU - Bhattarai, Alok
AU - Eitelmann, Sara
AU - Unichenko, Petr
AU - Durry, Simone
AU - Kafitz, Karl W.
AU - Chalmers, Nicholas
AU - Fan, Jianfeng
AU - Beckervordersandforth, Ruth
AU - Henneberger, Christian
AU - Ullah, Ghanim
AU - Rose, Christine R.
TI - Cellular and subcellular heterogeneity of astrocytic Na⁺ homeostasis tuning astrocytes into functionally distinct subgroups in the mouse brain
T2 - Nature communications
J2 - Nat Commun
PY - 2026
DA - 2026/
VL - 17
IS - 1
SP - 4515
SN - 2041-1723
PB - Nature Publishing Group
DO - 10.1038/
UR - https://
LA - en
ER -
CSL-JSON
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"title": "Cellular and subcellular heterogeneity of astrocytic Na⁺ homeostasis tuning astrocytes into functionally distinct subgroups in the mouse brain",
"container-title": "Nature communications",
"author": [
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"family": "Meyer",
"given": "Jan"
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"family": "Bornemann",
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"family": "Bhattarai",
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"family": "Kafitz",
"given": "Karl W."
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"given": "Nicholas"
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{
"family": "Fan",
"given": "Jianfeng"
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"given": "Christian"
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"given": "Christine R."
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"page": "4515",
"DOI": "10.1038/
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"URL": "https://
"language": "en",
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}
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